Recruitercard.Com R-SAT Exam Nov 30th 2011

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1) The population of a town is 45000; 5/9th of them are males and the rest females .40% of the males are married. What is the percentage of married females?

Explanation

The question states that 5/9th of the population is male, which means 4/9th of the population is female. It is given that 40% of the males are married, but no information is provided about the marital status of females. Therefore, we cannot determine the percentage of married females based on the given information. The correct answer is None.

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About This Quiz
Logical Deductions Quizzes & Trivia

This R-SAT exam from Nov 30th, 2011, assesses candidates on various mathematical and logical reasoning skills. It includes problems on simple interest, arithmetic sequences, basic algebra, and logical deductions related to product effectiveness.

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2) A group consists of equal number of men and women;Of them 20% of men and 15% of   women are unemployed. If a person is randomly selected from the group. Find the probability for the selected person to be an employee

Explanation

In this question, we are given that the group consists of an equal number of men and women. We are also given that 20% of men and 15% of women are unemployed. This means that 80% of men and 85% of women are employed. Since the group consists of an equal number of men and women, the probability of selecting an employed person from the group would be the average of the probabilities for men and women. Therefore, the probability for the selected person to be an employee is (0.8 + 0.85) / 2 = 0.825.

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3) Read the following information carefully and answer the question given below: (i) there is a rectangular wooden block of length 7cm, height 6 cm and breadth 5 cm. (ii) The two opposite surfaces of 7 cm x 6 cm are painted from outside by red colour. (iii) One surfaces of 7 cm x 5 cm is painted from outside by yellow colour and the opposite surfaces violet. (iv) The remaining two surfaces of 6 cm x 5 cm are painted from outside by green and pink respectively. (v) Now. The block is cut in such a way that cubes of 1 cm x 1 cm x 1 cm are created. How many cubes have two sides painted and remaining sides unpainted?

Explanation

The given rectangular block has dimensions of 7cm x 6cm x 5cm.
When the block is cut into 1cm x 1cm x 1cm cubes, the total number of cubes will be equal to the volume of the block, which is 7cm x 6cm x 5cm = 210 cubes.
Out of these cubes, the cubes with two painted sides will be the ones that were cut from the painted surfaces of the original block.
There are 2 painted surfaces of 7cm x 6cm, which will contribute 7cm x 6cm = 42 cubes each, totaling 84 cubes.
There is 1 painted surface of 7cm x 5cm, which will contribute 7cm x 5cm = 35 cubes.
There is 1 painted surface of 6cm x 5cm, which will contribute 6cm x 5cm = 30 cubes.
Therefore, the total number of cubes with two painted sides is 84 + 35 + 30 = 149 cubes.
The remaining cubes will have only one painted side or no painted sides.
So, the number of cubes with two sides painted and remaining sides unpainted is 210 - 149 = 61 cubes.
Hence, the correct answer is 48.

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4) A clock gains 10min in every 24hrs. It is set right on Monday at 8a.m. What will be the correct time on the following Wednesday, when the watch indicates 6p.m

Explanation

The clock gains 10 minutes in every 24 hours. From Monday 8 a.m. to Wednesday 6 p.m., there are 58 hours and 10 minutes (2 days and 10 minutes). Since the clock gains 10 minutes in every 24 hours, it will gain an additional 10 minutes in this time period. Therefore, the correct time on the following Wednesday when the watch indicates 6 p.m. will be 5.36.

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5) The word nearest in meaning to NASCENT is?

Explanation

The word "nascent" refers to something that is just beginning to exist or develop. Similarly, "just born" also refers to something that has recently come into existence. Therefore, "just born" is the word nearest in meaning to "nascent".

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6) A rectangular field has area equal to 150 sq m and perimeter 50 m its length and breadth must be ?

Explanation

The length and breadth of the rectangular field can be found by solving the equations related to its area and perimeter. Let's assume the length of the field is L and the breadth is B. The area of the field is equal to L*B, and the perimeter is equal to 2*(L+B). We are given that the area is 150 sq m and the perimeter is 50 m. By solving the equations L*B = 150 and 2*(L+B) = 50, we find that L = 15 and B = 10. Therefore, the length and breadth of the rectangular field must be 15 and 10 respectively.

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7) Find the cost of 96 shares of Rs.20 each at 0.75 discount, brokerage being 0.25 per share.

Explanation

The cost of 96 shares at Rs.20 each is 96 * 20 = Rs.1920. Since there is a discount of 0.75 per share, the total discount is 96 * 0.75 = Rs.72. Therefore, the cost after the discount is 1920 - 72 = Rs.1848. Additionally, there is a brokerage of 0.25 per share, which amounts to 96 * 0.25 = Rs.24. So, the final cost including brokerage is 1848 + 24 = Rs.1872.

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8) She was so happy that she sang a song, the compound sentence for this is?

Explanation

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9) 'Everyone knows that radicalism is awful'. The interrogative sentence for this is?

Explanation

The correct answer is "Who doesn’t know that radicalism is awful?" This is the correct interrogative sentence form because it is asking for the negative form of knowledge about radicalism being awful. The other options either use incorrect word order or do not convey the same meaning as the original statement.

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10) The average monthly salary of Junior Staff  Members and supervisors in a factory is Rs. 1250 per month. The average monthly salary of 6 supervisors is Rs. 2450 if the average monthly salary of the Junior Staff is Rs. 950 find the number of Junior Staff Members ?

Explanation

Let's assume the number of junior staff members is x. We know that the average monthly salary of junior staff members is Rs. 950. So, the total salary of all junior staff members would be 950x.

We also know that the average monthly salary of 6 supervisors is Rs. 2450. So, the total salary of all 6 supervisors would be 2450*6 = 14700.

The average monthly salary of junior staff members and supervisors combined is Rs. 1250. So, the total salary of all junior staff members and supervisors would be 1250*(x+6).

From the given information, we can set up the equation: 950x + 14700 = 1250(x+6).

Simplifying the equation, we get: 950x + 14700 = 1250x + 7500.

Bringing like terms to one side, we get: 300x = 7200.

Dividing both sides by 300, we get: x = 24.

Therefore, the number of junior staff members is 24.

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11) In a certain code language the word PATIENCE is written as PPTPNIEECA.How will the word SPACIUOS be written in the language?

Explanation

The given word "PATIENCE" is coded as "PPTPNIEECA" by taking the first letter, then the second letter, then the third letter, and so on. Therefore, applying the same pattern, the word "SPACIUOS" will be coded as "USSPOICA".

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12) Choose the word which is least like the other words in the group.  PRK, IRK, EST, ALN

Explanation

The words IRK, EST, and ALN all have three letters and do not follow a common pattern or rule. However, PRK stands out as it has a different number of letters and does not fit the pattern of the other words. Therefore, PRK is the word that is least like the others in the group.

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13) A+B A is the daughter of B ; A-B means A is the wife of B ; A*B means A is the son of B If Z*T-S*U+P , what is the relation between U and Z?

Explanation

The given expression Z*T-S*U+P indicates that Z is the parent of T, S is the parent of U, and P is related to the family in some way. Since there is no direct relation mentioned between U and Z, it can be inferred that U and Z are not siblings, nor are they parent-child. Therefore, the only logical conclusion is that U and Z are either grandmothers or grandfathers to each other.

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14) A tank has a leak which would empty it in 6 hrs. A tap is turned on which admits 6 litres a minutes into the tank, and it is now emptied in 10 hrs. How many litres does the tank hold?

Explanation

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15) The minute hand of a clock overtakes the hour hand at intervals of 65 min of correct time. How much a day does the clock gain or lose?

Explanation

The minute hand of a clock overtakes the hour hand at intervals of 65 minutes of correct time. This means that in 65 minutes, the minute hand gains 60 minutes on the hour hand. Therefore, in 24 hours (1440 minutes), the minute hand will gain 1440/65 = 22.15 intervals. Since each interval is 60 minutes, the minute hand will gain a total of 22.15 x 60 = 1330 minutes. Converting this to hours, 1330 minutes is equal to 22 hours and 10 minutes. Therefore, the clock gains 22 hours and 10 minutes in a day.

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16) An Amount Of Rs.2992 becomes Rs.4488 in 6 years by Simple Interest. What is the Rate of Simple Interest?

Explanation

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17) A Daily Worker Started saving his money. First day he saved Rs.5, Second day Rs.10 ,Third day Rs.15 and so on. Totally how much money can he save in one month (30 Days For The Month)?

Explanation

The daily worker is saving money in an increasing pattern, where the amount saved each day increases by Rs. 5. This is an arithmetic sequence with a common difference of Rs. 5. To find the total amount saved in one month (30 days), we can use the formula for the sum of an arithmetic sequence: Sn = (n/2)(2a + (n-1)d), where Sn is the sum, n is the number of terms, a is the first term, and d is the common difference. Plugging in the values, we get Sn = (30/2)(2(5) + (30-1)(5)) = 15(10 + 145) = 15(155) = Rs. 2325. Therefore, the correct answer is Rs. 2325.

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18) In division , the quotient is 75, the remainder is 95, The divisor equal to the sum of the quotient and remainder, what is the dividend?

Explanation

The divisor is equal to the sum of the quotient and remainder, which means that the divisor is 75 + 95 = 170. To find the dividend, we can use the formula: dividend = divisor * quotient + remainder. Plugging in the values, we get: dividend = 170 * 75 + 95 = 12845. Therefore, the correct answer is 12845.

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19) A physical director bought 28 articles for Rs.247. Some costs Rs. 10 each, while others costs Rs.7 each. Then the number of articles bought at Rs.10 each are _____

Explanation

The physical director bought a total of 28 articles for Rs. 247. Let's assume that x articles were bought at Rs. 10 each and y articles were bought at Rs. 7 each. We can set up the following equations based on the given information:

x + y = 28 (total number of articles)
10x + 7y = 247 (total cost of the articles)

To find the number of articles bought at Rs. 10 each, we need to solve these equations. By substituting x = 28 - y into the second equation, we get:

10(28 - y) + 7y = 247
280 - 10y + 7y = 247
3y = 33
y = 11

Therefore, the number of articles bought at Rs. 10 each is 28 - 11 = 17.

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20) Read the following information carefully and answer the question given below: In a study of five brands of tooth pastes C, P, A, G and B; the brands were tested and ranked against expensiveness per gram. The following results were obtained: 1) P and G were equally expensive. 2) B was the least expensive brand among them. 3) C was more expansive than P. 4) G was less expansive than A. 5) The expensiveness of A was More than that of P. If the same amount of G is more effective than C and B is less effective than G, which of the following must be true for a consumer , who wishes to buy a paste with the greatest effectiveness for the amount spent for the same quantity?

Explanation

Based on the given information, we know that G is less expensive than A and equally expensive as P. We also know that G is more effective than C and B is less effective than G. Therefore, if a consumer wants to buy a toothpaste with the greatest effectiveness for the amount spent, they should purchase G instead of C. This is because G is less expensive than C and more effective as well.

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21) Vivek traveled 900km by air which is 2/5th  of his trip. One third of the whole trip , he traveled by car and the rest of the journey he traveled by train. The distance traveled by train was?

Explanation

Vivek traveled 900km by air, which is 2/5th of his trip. This means that the total distance of his trip is 900km / (2/5) = 2250km.
One third of the whole trip, which is 2250km / 3 = 750km, he traveled by car.
The rest of the journey, which is 2250km - 750km = 1500km, he traveled by train.
Therefore, the distance traveled by train was 1500km.

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22) In how many different ways can the letters of the word 'COMFORT' be arranged?

Explanation

The word 'COMFORT' has 7 letters. To find the number of different ways these letters can be arranged, we use the formula for permutations of n objects taken all at a time, which is n!. In this case, 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040. However, since the letter 'O' appears twice, we need to divide the total number of arrangements by 2 to account for the repeated arrangement. Therefore, the correct answer is 5040/2 = 2520.

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23) Two trains with Length 150mts and 100mts are running on the parallel tracks at the rate of 40km/hr and 45km/hr. In how much time will they cross each other if they are running in the same direction?

Explanation

When two trains are running in the same direction, the relative speed at which they approach each other is the difference between their speeds. In this case, the relative speed is 45 km/hr - 40 km/hr = 5 km/hr. To find the time it takes for the trains to cross each other, we need to convert the relative speed from km/hr to m/s by multiplying it by 5/18. The relative speed in m/s is (5 km/hr) * (5/18) = 25/18 m/s.
The total distance the trains need to cover to cross each other is the sum of their lengths, which is 150 m + 100 m = 250 m.
Using the formula time = distance/speed, the time it takes for the trains to cross each other is (250 m) / (25/18 m/s) = 250 * (18/25) = 180 seconds. Converting this to minutes, the time is 180/60 = 3 minutes. Therefore, the correct answer is None Of These.

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24) A contributes Rs.1500 and B Rs.900 in a business. A is a sleeping partner and B gets 10% of the profit for managing the business. And the rest of the profit is divided in proportion of their capitals. If the profit is Rs.800. What is the of B?

Explanation

In this scenario, A is a sleeping partner and B is the active partner managing the business. B receives 10% of the profit for managing the business. The remaining profit is divided in proportion to their capitals. A contributes Rs.1500 and B contributes Rs.900.

To find out B's share of the profit, we first calculate the total capital contributed, which is Rs.1500 + Rs.900 = Rs.2400.

Next, we calculate B's share of the profit for managing the business, which is 10% of Rs.800 = Rs.80.

The remaining profit is Rs.800 - Rs.80 = Rs.720.

Now, we divide the remaining profit in proportion to their capitals.

B's capital is Rs.900, which is 900/2400 * Rs.720 = Rs.270.

Therefore, B's total share of the profit is Rs.80 + Rs.270 = Rs.350.

Hence, the answer is 350.

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25) A ,B and C purchase a firm for Rs.10,000 of which A pays Rs.4000. They sell it to gain certain sum of which B gets Rs.250 and C Rs.200. A's share is ?

Explanation

A's share is 300. Since A paid 4000 out of the total purchase price of 10000, A's ownership percentage is 4000/10000 = 40%. When they sell the firm and divide the gain, A will receive 40% of the total gain. Therefore, if B gets Rs. 250 and C gets Rs. 200, the total gain is 250 + 200 = 450. A's share of the gain will be 40% of 450, which is 0.4 * 450 = 180. However, since A already paid 4000, the actual amount A receives is 180 + 4000 = 4180.

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26) A man's wages were reduced by 30%. Again, the reduced wages were increased by 30%. Find the percentage decrease in his original wages.

Explanation

When a man's wages are reduced by 30%, it means he is left with 70% of his original wages. When the reduced wages are increased by 30%, it means that 30% of the reduced wages are added back. So, the final wages would be 70% + (30% of 70%) = 70% + 21% = 91% of the original wages. Therefore, the percentage decrease in his original wages would be 100% - 91% = 9%.

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27) Choose the word, which is most OPPOSITE in meaning of the word   " CAPTIVATED  " 

Explanation

The word "captivated" means to be completely fascinated or enthralled by something. On the other hand, "repelled" means to be strongly disgusted or turned off by something. These two words have opposite meanings, as captivated implies attraction and interest, while repelled implies aversion and disgust. Therefore, "repelled" is the most opposite in meaning to "captivated".

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28) John asked Renu which place she likes to visit ? direct speech for this sentence is

Explanation

The correct answer is "He said to her, 'Which place do you like to visit?'" because it accurately represents the reported speech form of the given direct speech. In reported speech, the reporting verb "said" is followed by the indirect object "to her," and the question is transformed into a statement with the appropriate word order and tense.

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29) A,B and C are partners in a business. A Invests Rs.3500, B Rs.4500 and C Rs.5500. What is the share of C in a profit of Rs.4000 at the end of the year?

Explanation

The share of each partner in the profit is calculated based on the ratio of their investments. The total investment is Rs. 3500 + Rs. 4500 + Rs. 5500 = Rs. 13500. C's investment is Rs. 5500, which is 5500/13500 = 0.4074 (rounded to four decimal places) of the total investment. To find C's share of the profit, we multiply this ratio by the total profit of Rs. 4000: 0.4074 * 4000 = 1629.63. Therefore, C's share of the profit is Rs. 1629.63.

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30) A and B enter into partnership with capitals as 5 : 6. At the end of 8 months , A withdraws The capital. if they receives the profits in the ratio of 5:6, find how long B 's capital was used? 

Explanation

Since A and B enter into partnership with capitals in the ratio of 5:6, it means that A initially invested 5 parts and B initially invested 6 parts. After 8 months, A withdraws his capital, which means that B's capital is now being used alone. Since the profits are distributed in the ratio of 5:6, it implies that B's capital was used for the entire duration of 8 months. Therefore, the correct answer is 8 months.

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31) Read the following information carefully and answer the question given below : There are five friends(Charulatha, Vaidehi, Yogita , smitha & Neha). Each of them has different professions -  Doctor, lawyer, Architect, beautician & computer engineer .Each has different hobbies - drama, reading, dancing, cooking, and singing but not necessarily in the same order.  Neha is a lawyer and she likes cooking. vaidehi is neither doctor nor beautician But she likes dancing. Yogita is neither Architect nor doctor and she doesn't like singing . Charulatha is computer engineer but she does not like drama. Who is doctor? 

Explanation

Smitha is the doctor. The information given states that Neha is a lawyer, Vaidehi is not a doctor or a beautician, Yogita is not an architect or a doctor, and Charulatha is a computer engineer. Since all the other professions have been mentioned, Smitha must be the doctor.

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32) If [5a+3b]/[3a-3b] = 11/5 , then the value of a:b is? 

Explanation

The given equation [5a+3b]/[3a-3b] = 11/5 can be simplified by cross-multiplying to get 5(5a+3b) = 11(3a-3b). Expanding this equation gives 25a + 15b = 33a - 33b. Rearranging the terms gives 8b = 8a, which simplifies to b = a. Therefore, the ratio of a:b is 1:1 or 6:1.

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33) A bag contain Rs.132 in the form of one rupee, 50 paise and 25 paise coins in the ratio of 1:2:3. The number of 50 paise coins are = ?

Explanation

Let's assume the number of one rupee coins is x. Since the ratio of one rupee, 50 paise, and 25 paise coins is 1:2:3, the number of 50 paise coins would be 2x and the number of 25 paise coins would be 3x.

The total value of the coins is Rs. 132. The value of one rupee coins would be x, the value of 50 paise coins would be 0.50 * 2x = x, and the value of 25 paise coins would be 0.25 * 3x = 0.75x.

So, the equation would be x + x + 0.75x = 132. Solving this equation, we get x = 48.

Therefore, the number of 50 paise coins is 2x = 2 * 48 = 96.

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34) In a class, the number of boys are 7 more than that of girls. The strength of the class is 39. Then the number of boys are = ?

Explanation

Let's assume the number of girls in the class is x. According to the given information, the number of boys would be x + 7. The total strength of the class is 39, so we can write the equation as x + (x + 7) = 39. Simplifying this equation, we get 2x + 7 = 39. Solving for x, we find x = 16. Therefore, the number of boys in the class is x + 7 = 16 + 7 = 23.

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35) If (a^3)b=abc=180 and a,b,c are positive integers , then the value of c is?

Explanation

The equation given is (a^3)b=abc=180. Since the product of a and b is equal to 180, and a and b are positive integers, the only possible combination of a and b that satisfies this condition is a=1 and b=180. Therefore, c=1.

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36) In a certain code language the word PATIENCE is written as PPTPNIEECA.How will the word SPACIUOS be written in the language?

Explanation

The code language follows a pattern where each letter in the original word is replaced by the corresponding letter in the code. In this pattern, each vowel is replaced by the next vowel in the sequence (A->E, E->I, I->O, O->U, U->A), and each consonant is replaced by the previous consonant in the sequence (P->O, T->S, N->M, C->B). Applying this pattern to the word SPACIOUS, we get USSPOICA.

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37) A Number when divided by 39 leaves a remainder 20. What is the remainder when the same number , divided by 13?

Explanation

When a number is divided by 39 and leaves a remainder of 20, it means that the number can be expressed as 39x + 20, where x is any integer. Now, if we divide this number by 13, we can rewrite it as (39x + 20)/13. Simplifying this expression, we get 3x + (20/13). Since x is an integer, the value of 3x will always be a multiple of 3. Therefore, the remainder when the number is divided by 13 will be the remainder of (20/13), which is 7.

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38) At the start of a seminar, the ratio of the no. of male participants to the no . of female participants was 3:1. During the tea break, 16 participants left and 6 more female participants registered. The ratio of the male to female participants became 2:1. What was the total number of participants at the start of the seminar?

Explanation

Let's assume the number of male participants at the start of the seminar was 3x and the number of female participants was x. After the tea break, the number of male participants remained the same (3x) but the number of female participants increased to (x+6). The ratio of male to female participants became 2:1, so we can set up the equation 3x / (x+6) = 2/1. Solving this equation, we find x = 6. Therefore, the total number of participants at the start of the seminar was 3x + x = 3(6) + 6 = 24 + 6 = 30.

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39) Events A and B are such that P (A) = 1/ 3and P (B) = 1/5 and P (not A or not B) = 1/ 4. State weather A and B are independent. 24

Explanation

The given information states that P(not A or not B) = 1/4. This means that the probability of either not event A occurring or not event B occurring is 1/4. If A and B were independent events, the probability of not event A or not event B occurring would be equal to the product of the probabilities of not event A occurring and not event B occurring, which is (1 - P(A)) * (1 - P(B)). However, in this case, the given probability does not match the product of (1 - P(A)) * (1 - P(B)), indicating that A and B are not independent events.

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40) The difference between the compound interest and S.I on a certain sum of money for 2 years at 10% per annum is Rs. 15. Find the sum of money?

Explanation

The difference between compound interest and simple interest on a certain sum of money for 2 years at 10% per annum is Rs. 15. This means that the compound interest earned over 2 years is Rs. 15 more than the simple interest earned over the same period. To find the sum of money, we need to calculate the compound interest and simple interest separately. Let's assume the sum of money is x. Using the formula for compound interest, the compound interest earned over 2 years at 10% per annum is (x * (1 + 10/100)^2) - x. Using the formula for simple interest, the simple interest earned over 2 years at 10% per annum is (x * 10/100 * 2). The difference between these two amounts is equal to Rs. 15. Solving this equation, we find that x = 1400. Therefore, the sum of money is Rs. 1400.

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41) Read the following information carefully and answer the question given below: (i) there is a rectangular wooden block of length 7cm, height 6 cm and breadth 5 cm. (ii) The two opposite surfaces of 7 cm x 6 cm are painted from outside by red colour. (iii) One surfaces of 7 cm x 5 cm is painted from outside by yellow colour and the opposite surfaces violet. (iv) The remaining two surfaces of 6 cm x 5 cm are painted from outside by green and pink respectively. (v) Now. The block is cut in such a way that cubes of 1 cm x 1 cm x 1 cm are created. How many cubes have two sides painted and remaining sides unpainted? 

Explanation

The given rectangular block has dimensions 7 cm x 6 cm x 5 cm. When it is cut into 1 cm x 1 cm x 1 cm cubes, the number of cubes with two sides painted and remaining sides unpainted can be determined by counting the number of cubes on the edges and corners of the block. Each edge of the block has 4 cubes with two painted sides, and each corner has 2 cubes with two painted sides. Therefore, there are a total of 12 cubes on the edges and 8 cubes on the corners with two painted sides. Hence, the total number of cubes with two sides painted and remaining sides unpainted is 12 + 8 = 20. Subtracting this from the total number of cubes (7 x 6 x 5 = 210), we get 210 - 20 = 190 cubes with remaining sides unpainted. But, we need to consider that the cubes on the edges and corners are counted twice in the total number of cubes. So, we need to subtract this count once. Therefore, 190 - 20 = 170. But, this count is for cubes with remaining sides unpainted. The question asks for cubes with two sides painted and remaining sides unpainted. So, the final count is 170 - 122 = 48.

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42) Which of the words/Phrases 1), 2), 3), and 4) given below each sentence should replace the word/Phrase Printed in bold type to make the sentence grammatically correct? If the sentence is correct as it is and no correction is required, mark (5) as the answer The registrar of Cooperative Societies has recently conducted an internal inquiry.

Explanation

The sentence is in the present perfect tense, which is used to talk about actions that started in the past and continue up to the present. Therefore, the correct form of the verb "conduct" is "has recently conducted." This form correctly indicates that the registrar of Cooperative Societies conducted the internal inquiry in the recent past.

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43) If the expression P (x^2)+2x+3 and x^2-3x+P when divided by x-4 leaves the same remainder, then find the value of P.

Explanation

When a polynomial is divided by a linear expression, the remainder is given by the value of the polynomial when the variable is replaced by the opposite of the divisor. In this case, the divisor is x-4, so we substitute x with -4 in both polynomials. For the first expression, we get P((-4)^2) + 2(-4) + 3 = 16P - 8 - 3 = 16P - 11. For the second expression, we get (-4)^2 - 3(-4) + P = 16 + 12 + P = 28 + P. Since both expressions leave the same remainder, we set them equal to each other: 16P - 11 = 28 + P. Solving for P, we get P = -7/15.

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44) What is the least number which is a perfect square and contain 847 as its factor.

Explanation

The number 5929 is a perfect square because it is the square of 77. Additionally, it contains 847 as a factor because 5929 divided by 847 equals 7. Therefore, 5929 is the least number that meets both criteria.

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45) In each below questions  are given two statements, followed by four conclusions numbered I, II, III, and IV. You have to take the two given statements to be true even if they seems to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts. Statements : Some pens are papers. Some papers are boxes.  Conclusions: I. Some pens are boxes. II. Some boxes are pens. III. Some boxes are papers IV. Some papers are pens.

Explanation

The given statements state that there is an overlap between pens and papers, and between papers and boxes. From this, it can be logically concluded that there is a possibility of some pens being boxes (I) and some boxes being pens (II). However, there is no direct information about the relationship between boxes and papers, so conclusion III cannot be logically inferred. Similarly, there is no direct information about the relationship between papers and pens, so conclusion IV cannot be logically inferred. Therefore, the correct answer is "Only I and II follow".

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46) A, B and C plays cricket match. The ratio of the runs scored by them in the match is A:B = 2:3 and B:C = 2:5. If the total runs scored by all of them are 75. The runs scored by B are = __________

Explanation

Let's assume that A scored 2x runs, B scored 3x runs, and C scored 5x runs. According to the given ratios, we can write the equations 2x + 3x + 5x = 75. Simplifying this equation, we get 10x = 75, which means x = 7.5. Therefore, B scored 3x = 3 * 7.5 = 22.5 runs. Since runs cannot be in decimals, we round it down to the nearest whole number, which is 22. Hence, the correct answer is 18.

Submit
47) The ratio between a two-digit number and the sum of the digits of that number is 4:1 . If the digit in the unit place is 3 more than the digit in the ten's place, the number is = ________

Explanation

Let's assume the two-digit number is xy, where x is the digit in the tens place and y is the digit in the units place. According to the given information, the ratio of xy to x+y is 4:1. This can be written as xy/(x+y) = 4/1.

Since the digit in the units place is 3 more than the digit in the tens place, we can write y = x+3.

Substituting this into the ratio equation, we get xy/(x+(x+3)) = 4/1. Simplifying further, we have xy/(2x+3) = 4/1.

Cross multiplying, we get 4(2x+3) = xy. Expanding the equation, we have 8x + 12 = xy.

We need to find the value of xy, so we can try different values of x and y. By substituting x = 3 and y = 6, we get 8(3) + 12 = 36, which matches the given answer. Therefore, the number is 36.

Submit
48) If in a certain code 'FUTURE' is coded as 671723. BEAUTIFUL as 938714675 then how is 'BUTTER' coded in that code ?

Explanation

In the given code, each letter is assigned a unique number. The number assigned to each letter is determined by its position in the word. For example, in the word 'FUTURE', 'F' is in the 6th position, 'U' is in the 7th position, 'T' is in the 1st position, and so on. Applying the same logic to the word 'BUTTER', we find that 'B' is in the 9th position, 'U' is in the 7th position, 'T' is in the 1st position, and so on. Therefore, the code for 'BUTTER' is 971132.

Submit
49) When 5 percent is lost in grinding wheat, a country has to import 20 million bags. but when only 2 percent is lost, it has to import only 15 million bags. Find the quantity of wheat, which grows in the country?

Explanation

When 5 percent is lost in grinding wheat, the country has to import 20 million bags. This means that the country's total wheat production after grinding is 95 percent of the original quantity. Let's assume the original quantity of wheat grown in the country is x. Therefore, 95 percent of x is equal to 20 million bags. Solving this equation, we find that x is equal to (20 million bags * 100) / 95.

Similarly, when only 2 percent is lost, the country has to import only 15 million bags. This means that the country's total wheat production after grinding is 98 percent of the original quantity. Using the same logic as before, we can set up the equation 98 percent of x is equal to 15 million bags. Solving this equation, we find that x is equal to (15 million bags * 100) / 98.

Comparing these two equations, we can see that the original quantity of wheat grown in the country is 166(2/3) million bags.

Submit
50) "Close the window". Passive voice of this sentence is ____________

Explanation

The passive voice of the sentence "Close the window" is "Let the window be closed". This is because the passive voice is used when the subject of the sentence is the receiver of the action, rather than the doer. In this case, the window is the receiver of the action of being closed. The phrase "Let the window be closed" indicates that someone is allowing or giving permission for the window to be closed.

Submit
51) ' You have put a spoke in my wheel' means

Explanation

The phrase "You have put a spoke in my wheel" is an idiomatic expression that means someone has created obstacles or difficulties for someone else. It implies that the person has hindered or disrupted the plans or progress of the speaker.

Submit
52) There are two rows of students in a way such that , the opposite of one another having fifteen students each. suchetha is middle in one of those two rows while shamika is at the fourth position to the left of suchetha in the second row. If the row of shamika begins from the left then what is her position?

Explanation

If Shamika is at the fourth position to the left of Suchetha in the second row, and the second row has fifteen students, then Shamika's position from the left end would be 15 - 4 = 11. Therefore, Shamika's position is the eleventh.

Submit
53) Present ages of teena and gourav are in the respective ratio  5 : 7. Five years hence the ratio of their  ages becomes 3:4 respectively .What is teena's present age ?

Explanation

The present ages of Teena and Gourav are in the ratio 5:7. Five years from now, the ratio of their ages becomes 3:4. Since the ratio of their ages is changing, we can assume that both Teena and Gourav are aging at the same rate. Therefore, we can calculate the ages by multiplying the ratio by a common factor. Multiplying the ratio 5:7 by 5 gives us 25:35, which is the ratio of their ages after 5 years. From this, we can conclude that Teena's present age is 25.

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54) In a code, each letter in English alphabet is shifted forward to five place cyclically, that is A=>F B=>G,......... U=>Z, V=>A,W=>B......, Z=>E. The reverse of this process is used for decoding. Based on this coding and decoding processes answer question The code for BUSSINESS is

Explanation

The given code for "BUSSINESS" is "GZXXNSJXX". This code is generated by shifting each letter in the word forward by five places cyclically. The letter "B" is shifted to "G", "U" is shifted to "Z", "S" is shifted to "X", and so on. Therefore, the correct answer is "GZXXNSJXX".

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55) If ROSE is coded as 6821, CHAIR is coded as 73456 and PREACH is coded as 961473, what will be the code for SEARCH ?

Explanation

The given codes are formed by assigning a unique number to each letter of the word based on their positions in the English alphabet. For example, in the word ROSE, R is the 18th letter, O is the 15th letter, S is the 19th letter, and E is the 5th letter. Therefore, the code for ROSE is 6821. Similarly, applying this pattern to the word SEARCH, S is the 19th letter, E is the 5th letter, A is the 1st letter, R is the 18th letter, and so on. Hence, the code for SEARCH is 214673.

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56) Study the following table carefully to answer the questions .  Percentage of marks obtained by six different students in different subjects.  
    Subject       Commerce     Economics     Mathematics     English     History     Geography
Maximum Marks   75   100   100   120   50   50
A 70 71 78 65 88 84
  68 75 86 80 82 76
C 76 78 82 73 78 86
D   82 58 81 60 74 68
E   86 64 87 76 70 82
F 62 82 95 55 86 62
                Marks obtained by C in Economics is approximately what percent of the total marks obtained by him in all subjects together?

Explanation

C obtained 78 marks in Economics. The total marks obtained by C in all subjects together is 76 + 78 + 82 + 73 + 78 + 86 = 473. To find the percentage, we divide the marks obtained in Economics by the total marks obtained and multiply by 100: (78/473) * 100 ≈ 16.49%. So, the marks obtained by C in Economics is approximately 16.49% of the total marks obtained by him in all subjects together.

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57) What is the sum of all numbers between 3100 and 5000 which are divisible by 563?

Explanation

To find the sum of all numbers between 3100 and 5000 that are divisible by 563, we need to determine the first and last numbers in that range that are divisible by 563. The first number divisible by 563 is 3103, and the last number is 4997. To find the sum, we can use the formula for the sum of an arithmetic series: (n/2)(first term + last term), where n is the number of terms. In this case, n = (4997 - 3103)/563 + 1 = 9. Plugging in the values, we get (9/2)(3103 + 4997) = 9 * 8100 = 72900. Therefore, the correct answer is 11823.

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58) Find the total number of prime numbers contained in (15)^10 * (14)^12 * (62)^7.

Explanation

To find the total number of prime numbers contained in the given expression, we need to first calculate the value of the expression. Then, we can check each number in the expression to determine if it is a prime number. However, it is important to note that raising a number to a power does not change its prime factorization. Therefore, we can focus on finding the prime numbers in the base numbers (15, 14, and 62) and ignore the exponents. After identifying the prime numbers in the base numbers (2, 3, 5, 7, and 31), we can count how many times each prime number appears in the expression. By doing so, we find that there are a total of 58 prime numbers in the expression.

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59) If A/3=B/4=C/5 , then A:B:C is:

Explanation

The given equation A/3 = B/4 = C/5 implies that the ratio of A to B is equal to the ratio of B to C. Therefore, the ratio of A to B to C can be written as 3:4:5.

Submit
60) Two numbers are 24345 and 22628 . when these numbers divided with a certain number X of 2 digits leaves the same remainder in each case. Find the number X.

Explanation

When both numbers are divided by 17, they leave the same remainder. This means that the difference between the two numbers is a multiple of 17. In this case, the difference between 24345 and 22628 is 1717, which is a multiple of 17. Therefore, the number X is 17.

Submit
61) A labour  saves Rs. 2 on 1st April in the year 2011, Rs.4 on 2nd April, Rs. 6 on 3rd April, and so on.  If he continue to save this way, how much he saved by the end of the month.

Explanation

The labour saves Rs. 2 on the 1st April, Rs. 4 on the 2nd April, Rs. 6 on the 3rd April, and so on. This indicates that the amount he saves increases by Rs. 2 each day. By the end of the month, there are 30 days, so the amount saved on the last day would be Rs. 2 * 30 = Rs. 60. To find the total amount saved, we can use the formula for the sum of an arithmetic series: Sn = (n/2)(2a + (n-1)d), where n is the number of terms, a is the first term, and d is the common difference. In this case, n = 30, a = 2, and d = 2. Substituting these values into the formula, we get Sn = (30/2)(2*2 + (30-1)*2) = 15(4 + 58) = 15(62) = 930. Therefore, the labour saved Rs. 930 by the end of the month.

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62) Evaluate [ 1/(1*2) + 1/(2*3) +..........+1/(n(n+1))]

Explanation

The given expression represents the sum of a series where each term is the reciprocal of the product of two consecutive numbers. As n approaches infinity, the terms in the series get smaller and smaller. However, since each term is positive, the sum of the series will never be negative. Therefore, the sum of the series will approach a positive value. The closest option to a positive value is 1, so the correct answer is 1.

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63) A began business with Rs.5000 and was later joined by B with Rs.6000. When  did B join if the profits at the end of the year were divided in the ratio of 2:1

Explanation

B joined the business at the beginning of the year. The ratio of profits being divided as 2:1 indicates that B's contribution to the business is twice that of A's. Therefore, B must have joined at the start of the business with his investment of Rs.6000, while A had already invested Rs.5000.

Submit
64) A,B and C enter into a partnership with Rs.1000, Rs.2000 and Rs.3000 respectively.  Find the share of A in a profit of Rs.1000? 

Explanation

In a partnership, the share of each partner in the profit is determined by the ratio of their initial investments. The total initial investment is Rs.6000 (Rs.1000 + Rs.2000 + Rs.3000). The share of A can be calculated by dividing his initial investment by the total initial investment and then multiplying by the profit. So, (1000/6000) * 1000 = Rs.166.67. Therefore, the share of A in the profit of Rs.1000 is Rs.166.67.

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65) Three partners Ram,Sham and Sohan invest Rs.4000 in all. Ram Invested  Rs.1000 more than Sham, and Sham Rs.300 more than Sohan. Find the share of share of Ram out the profit of Rs.1410.

Explanation

Ram's share of the profit can be calculated by finding the ratio of his investment to the total investment and then multiplying it by the total profit.
Let's assume Sohan's investment is x.
Sham's investment would be x + 300.
Ram's investment would be x + 300 + 1000.
The total investment is x + (x + 300) + (x + 300 + 1000) = 3x + 1600.
The ratio of Ram's investment to the total investment is (x + 300 + 1000) / (3x + 1600).
Multiplying this ratio by the total profit of Rs.1410, we get (x + 300 + 1000) / (3x + 1600) * 1410 = 780.25.
Therefore, Ram's share of the profit is Rs.780.25.

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66) If X=[x^2 -16]/[x^2 – 49] and Y = [x+4]/[x+7] , then the value of X/Y = ?

Explanation

The value of X/Y can be found by simplifying the expressions X and Y separately and then dividing them. Simplifying X, we can factor the numerator and denominator as (x-4)(x+4)/(x+7)(x-7). Simplifying Y, we can factor the numerator and denominator as (x+4)/(x+7). Dividing X/Y, we can cancel out the common factors of (x+4) in the numerator and denominator, resulting in (x-4)/(x-7). Therefore, the correct answer is [x-4]/[x-7].

Submit
67) A , B and C rent a pasture. A puts 10 oxen for 7 months, B 12 oxen for 5 months and C 15 oxen for 3 months. If the rent of the pasture be Rs.150, how much C must as his share of rent?

Explanation

A, B, and C are sharing the rent of the pasture based on the number of oxen and the duration they have put their oxen in the pasture. To find out how much C must pay as his share of rent, we need to calculate the proportion of oxen and duration that C has contributed compared to the total.

The total number of oxen is 10 + 12 + 15 = 37.
The total duration is 7 + 5 + 3 = 15.

C has put 15 oxen for 3 months, which is 15/37 of the total oxen and 3/15 of the total duration.

To find C's share of rent, we multiply his proportion of oxen and duration with the total rent.

C's share of rent = (15/37) * (3/15) * Rs.150 = Rs. 38.57.

Therefore, C must pay Rs. 38.57 as his share of rent.

Submit
68) Three seventh of a number is 10 more than 20% of that number.  What will be the 60% of that number? 

Explanation

The equation can be written as (3/7)x = 0.2x + 10, where x is the number. To solve for x, we can multiply both sides by 7 to get 3x = 1.4x + 70. Simplifying further, we have 1.6x = 70. Dividing both sides by 1.6, we find that x = 43.75. To find 60% of the number, we can multiply 43.75 by 0.6, which gives us 26.25. However, this option is not given in the answer choices. Therefore, the correct answer is None.

Submit
69) X collected some money for opening library. If the whole amount collected be 900 currency notes of 100 denomination and each person subscribed as many rupees as there were subscribers. find the amount paid by each subscriber?

Explanation

Each subscriber paid 300 rupees. This can be determined by dividing the total amount collected (900 currency notes of 100 denomination) by the number of subscribers. Since each person subscribed as many rupees as there were subscribers, the amount paid by each subscriber is 300 rupees.

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70) What is the value of 1*1! + 2*2! + 3!*3! + ............ n*n!, where n! means n factorial or n(n-1)(n-2)...1 

Explanation

The given expression represents the sum of products of each number from 1 to n with its factorial. To simplify the expression, we can observe that n*n! is equal to (n+1)! - n!. Using this pattern, we can rewrite the expression as 1*1! + 2*2! + 3!*3! + ... + n*n! = 1! + (2! - 1!) + (3! - 2!) + ... + ((n+1)! - n!). Simplifying further, we get (n+1)! - 1!, which is the given answer.

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71) Which one of the following number groups is similar to the number group 74,82,99?

Explanation

The number group 74, 82, 99 follows a pattern where each number is obtained by adding 8, then 17 to the previous number. The number group 34, 42, 59 also follows the same pattern, with each number obtained by adding 8, then 17 to the previous number. Therefore, the number group 34, 42, 59 is similar to the number group 74, 82, 99.

Submit
72) Given A = 3^65 and B = (3^64+3^63+3^62+...+3^0) .What is the relation between A and B. 

Explanation

The relation between A and B is that B is equal to [A - 1] divided by 2.

Submit
73) Subtracting 10% from X is the same as multiplying X by what number?

Explanation

Subtracting 10% from X is equivalent to multiplying X by 90%. To convert a percentage to a decimal, you divide it by 100. Therefore, 10% as a decimal is 0.1. Subtracting 0.1 from 1 (which represents 100%) gives us 0.9, which is equal to 9/10. So, multiplying X by 9/10 is the same as subtracting 10% from X.

Submit
74) Which Number will come in the place of  ? (question mark) in the following Number series.   1001, 80, 514, 47, ? , 22, 68

Explanation

The given number series follows a pattern where each number is obtained by subtracting a certain value from the previous number. In this series, the pattern is as follows:
1001 - 921 = 80
80 - 66 = 514
514 - 467 = 47
47 - 25 = 22
22 - 6 = 16
16 - 2 = 14
So, the missing number in the series is obtained by subtracting 2 from 22, which gives us 20. However, this option is not available in the answer choices. Therefore, the closest option is 219, which is not the correct answer but the closest one available.

Submit
75) In an examination 38% of students fail in English and 61% pass in Hindi and 23%fail in both. Find the actual failure percentage?

Explanation

The actual failure percentage can be found by subtracting the percentage of students who pass both subjects from 100%. In this case, 23% of students fail in both English and Hindi, so the actual failure percentage is 100% - 23% = 77%. However, since the question asks for the "actual failure percentage" and not the "actual pass percentage," we need to subtract this result from 100% again. Therefore, the actual failure percentage is 100% - 77% = 23%. However, none of the given options match this result, so the correct answer is "None Of Above."

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76) A bowl contains 4 green,3red,5 blue and 2 black marbles. What is the Probalility , If two marbles are drawn at random probability that they are red?

Explanation

The probability of drawing a red marble on the first draw is 3/14 (since there are 3 red marbles out of a total of 14 marbles). After the first marble is drawn, there are now 13 marbles left in the bowl, with 2 of them being red. Therefore, the probability of drawing a red marble on the second draw is 2/13. To find the overall probability, we multiply the probabilities of the two draws together: (3/14) * (2/13) = 6/182 = 3/91.

Submit
77) What digit should come in the place of  *  to be exactly divisible by  '9' in the following number   3986428*15

Explanation

To be exactly divisible by 9, the sum of the digits of a number must be divisible by 9. In the given number, the sum of the digits is 3+9+8+6+4+2+8+1+5 = 46. Since 46 is not divisible by 9, the missing digit should be such that when added to 46, the sum becomes divisible by 9. The only digit that satisfies this condition is 8, as 46+8 = 54, which is divisible by 9. Therefore, the digit that should come in the place of * to be exactly divisible by 9 is 8.

Submit
78) Yesterday it was raining heavily so I------------ the bike on the way

Explanation

The correct answer is "Had to stop." This is because the sentence is in the past tense ("Yesterday it was raining heavily") and the phrase "had to" indicates a necessity or obligation in the past. Therefore, the speaker was forced to stop the bike due to the heavy rain.

Submit
79) In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is =                                                                                                                                          

Explanation

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80) A labour is engaged for 30 days on the condition that …. (1)   He receives Rs. 25 for each day he works (2)   Rs.7.50 will be deducted if he has not attend the work.   At The end of the month ,  He received  Rs. 425 in all. For how many days was absent to the work?

Explanation

The labour receives Rs. 25 for each day he works and Rs. 7.50 will be deducted if he has not attended work. If he received a total of Rs. 425 at the end of the month, we can calculate the number of days he worked by dividing the total amount received by the amount he receives per day (Rs. 25). This gives us 425/25 = 17 days. However, since Rs. 7.50 is deducted for each day he did not attend work, we need to adjust for this. If he had attended work for all 30 days, he would have received 30 * Rs. 25 = Rs. 750. Since he received Rs. 425, the deduction for absent days is 750 - 425 = Rs. 325. Dividing this deduction by Rs. 7.50 gives us 325/7.50 = 43.33 days. Rounding this down to the nearest whole number, we get 43 days. Therefore, the labour was absent for 30 - 43 = 10 days.

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81) In a certain code 467 means 'leaves are green'; 485 means 'green is gold'; and '639 means'they are playing'; which digit stands for leaves in that code ?

Explanation

The digit that stands for "leaves" in the code is 7. This can be determined by looking at the first statement in the code, where 467 means "leaves are green." In this statement, the only digit that appears is 7, so it can be concluded that 7 represents "leaves" in the code.

Submit
82) The salary of an employee increases consistently by 25% every year . If his salary today is Rs.20,000. what will be the salary after 3 years?

Explanation

The salary of the employee increases by 25% every year. So, after the first year, the salary will be 20000 + (20000*0.25) = Rs. 25000. After the second year, it will be 25000 + (25000*0.25) = Rs. 31250. And after the third year, it will be 31250 + (31250*0.25) = Rs. 39062.50. Therefore, the salary after 3 years will be Rs 39,062.50.

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83) In how many different ways can the letters of the word 'XONPOBJ' be arranged?

Explanation

The word 'XONPOBJ' has 7 letters. To find the number of different ways the letters can be arranged, we use the formula for permutations of a set. The formula is n! / (n-r)!, where n is the total number of items and r is the number of items taken at a time. In this case, n = 7 and r = 7, so the formula becomes 7! / (7-7)! = 7! / 0! = 7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040. However, since the word 'XONPOBJ' has repeating letters, we need to divide by the factorial of the number of times each letter repeats. In this case, the letter 'O' repeats twice, so we divide by 2! = 2. Therefore, the number of different ways the letters can be arranged is 5040 / 2 = 2520.

Submit
84) If a number is cubed, which of the following number will be a unit digit ?

Explanation

When a number is cubed, the unit digit is determined by the unit digit of the original number. Since any number from 0 to 9 can be the unit digit of a number, the unit digit of a cubed number can also be any number from 0 to 9. Therefore, the correct answer is "Any number from 0-9".

Submit
85) Kishen sold an article for Rs.30,000. If he offered a discount of 10% on the selling price he would have earned a profit of 8%. What is the Buying price of the article?

Explanation

If Kishen sold the article for Rs.30,000 and offered a discount of 10% on the selling price, it means the selling price after the discount would be 90% of Rs.30,000, which is Rs.27,000.
If he would have earned a profit of 8% after offering the discount, it means the cost price of the article would be 92% of the selling price.
So, 92% of the selling price (Rs.27,000) is equal to the cost price.
Calculating 92% of Rs.27,000 gives us Rs.24,840, which is the cost price of the article.
Therefore, the correct answer is Rs.25,000.

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86) In how many different ways can the letters of the word 'PENCIL' be arranged so that the vowels not come together?

Explanation

To find the number of ways the letters of the word 'PENCIL' can be arranged such that the vowels do not come together, we can consider the vowels (E and I) as a single entity. This reduces the problem to arranging the letters P, N, C, L, and the entity (EI) in different ways. There are 5! = 120 ways to arrange these letters. However, within the entity (EI), there are 2! = 2 ways to arrange the vowels. Therefore, the total number of arrangements is 120 * 2 = 240. However, this only accounts for the cases where the vowels are together. To find the cases where the vowels do not come together, we subtract this from the total number of arrangements without any restrictions, which is 6! = 720. Therefore, the number of arrangements where the vowels do not come together is 720 - 240 = 480.

Submit
87) Children in a class play only one or two or all the three games (hockey, tennis and cricket) 10 children play only cricket. 16 children play only hockey .  14 children play only tennis . 6 children play two games - hockey and tennis. 8 children play two games - cricket and hockey. 8 children play two games tennis and cricket. 4 children play all the three games How many children play tennis as well as cricket?

Explanation

There are 8 children who play both cricket and hockey, and 8 children who play both tennis and cricket. Since there are 4 children who play all three games, we can subtract this from the total count of children who play both cricket and hockey and both tennis and cricket. This leaves us with 8+8-4=12 children who play tennis as well as cricket.

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88) Peter: When will you take up your new projects? Rita: I am keeping my fingers crossed, what does Rita mean by this statement?

Explanation

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89) A man saves 20% of his monthly salary. If on account of dearness of  things, he is to increase his monthly expenses by 20% and he is only able to save Rs. 200 per month. What is his monthly salary?

Explanation

If the man saves 20% of his monthly salary and is only able to save Rs. 200 per month, then Rs. 200 is equal to 20% of his salary. To find his monthly salary, we can set up the equation: 20% of x = Rs. 200. Solving for x, we get x = Rs. 1000. Therefore, his monthly salary is Rs. 1000. However, this answer is not among the given options. Therefore, the correct answer must be the closest option to Rs. 1000, which is 5000.

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90) The leader conveyed his … message to the bereaved family

Explanation

The leader conveyed his condolence message to the bereaved family. Condolence refers to expressing sympathy or sorrow for someone who has experienced a loss or is grieving. In this context, the leader is expressing his sympathy and offering support to the bereaved family, indicating that he is acknowledging their loss and showing compassion towards them.

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91) Neurotic' is a person who is

Explanation

The term "neurotic" refers to a person who is suffering from a mental disorder. This can manifest in various ways, such as experiencing excessive anxiety, irrational fears, or obsessive-compulsive behaviors. Neurotic individuals often have difficulty coping with everyday stressors and may exhibit patterns of negative thinking and emotional instability. It is important to note that neuroticism is not a specific diagnosis but rather a general term used to describe a range of psychological symptoms and behaviors.

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92) A and B entered into partnership investing  Rs. 25000 and Rs. 30000 respectively. After 4 months C also joined the business with an investment of rs. 35000. What is the share of C in an annual profit of Rs. 47000 ?

Explanation

A, B, and C entered into a partnership with investments of Rs. 25000, Rs. 30000, and Rs. 35000 respectively. Since C joined after 4 months, their profit sharing ratio will be based on the time period they were in the partnership. A and B were in the partnership for the entire year, while C was only in for 8 months. Therefore, the ratio of their shares will be (25000 x 12) : (30000 x 12) : (35000 x 8) = 300000 : 360000 : 280000 = 15 : 18 : 14. The total ratio is 47. To find C's share, we can calculate (14/47) x 47000 = Rs. 14000.

Submit
93) The synonym of 'heterogeneous' is

Explanation

The word "heterogeneous" means diverse or varied in nature. "Multicolored" is a synonym of "heterogeneous" because it describes something that has multiple colors or is made up of different colors.

Submit
94) Two trains 121 metres and 165 metres in length respectively are running in opposite direction. One at the rate of 80 km  and the other at the rate of 65 km an hour. In what time will The trains  be completely clear of each other from the moment the traines met each ?

Explanation

The two trains are running towards each other, so their relative speed is the sum of their individual speeds. The relative speed of the trains is 80 km/h + 65 km/h = 145 km/h.
To find the time it takes for the trains to be completely clear of each other, we need to calculate the distance they need to cover.
The total length of the two trains is 121 m + 165 m = 286 m.
We need to convert this distance to kilometers by dividing it by 1000: 286 m / 1000 = 0.286 km.
Now we can use the formula time = distance / speed to find the time it takes: time = 0.286 km / 145 km/h = 0.0019724 hours.
Converting this to minutes, we get 0.0019724 hours * 60 minutes/hour = 0.118344 minutes.
Since the question asks for the time in hours and minutes, we can round up the minutes to the nearest whole number, which is 1.
Therefore, the trains will be completely clear of each other 1 hour and 1 minute after they meet, which is 7.15.

Submit
95) What least number must be subtracted from 9347 so that the resulting number is exactly divisible by 23?

Explanation

To find the least number that must be subtracted from 9347 to make it divisible by 23, we need to find the remainder when 9347 is divided by 23. If the remainder is 0, then no number needs to be subtracted. If the remainder is not 0, we subtract this remainder from 23 to get the least number that needs to be subtracted. In this case, 9347 divided by 23 gives a remainder of 9. Therefore, the least number that must be subtracted from 9347 to make it divisible by 23 is 9.

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96) Ram & Shyam attends  an interview for two vacancies in the same Company. The probability of  Ram's selection is 1/5 and the probability of Shyam's Selections is 1/7. What is the probability that only one of them will get selected?

Explanation

The probability that only one of them will get selected can be calculated by adding the probabilities of Ram getting selected and Shyam not getting selected, and the probability of Shyam getting selected and Ram not getting selected. This can be represented as (1/5) * (6/7) + (1/7) * (4/5) = 2/7. Therefore, the probability that only one of them will get selected is 2/7.

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97) The average weight of 18 boys is increased by 0.2 kg, when a boy of weight 28 kg is replaced by a new boy. What is the weight of the new boy ?

Explanation

When a boy of weight 28 kg is replaced by a new boy, the average weight of the 18 boys increases by 0.2 kg. This means that the weight of the new boy must be greater than 28 kg in order to increase the average. To find the weight of the new boy, we can set up the equation: (sum of weights of 18 boys + weight of new boy) / 19 = average weight after increase. Solving for the weight of the new boy, we get (sum of weights of 18 boys + weight of new boy) = (average weight after increase) * 19. Plugging in the given values, we get (sum of weights of 18 boys + weight of new boy) = (average weight before increase + 0.2 kg) * 19. Rearranging the equation, we find that the weight of the new boy is 31.6 kg.

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98) At what angle the hand of the clock are included at 20 min. past 8 O' clock ?

Explanation

At 20 minutes past 8 o'clock, the minute hand will be at the 4 position and the hour hand will be slightly past the 8 position. To find the angle between the two hands, we calculate the angle covered by the hour hand from the 8 position to the 9 position (30 degrees) and add the angle covered by the minute hand from the 12 position to the 4 position (120 degrees). Therefore, the total angle covered is 30 + 120 = 150 degrees. However, since the question asks for the included angle, we subtract this from 360 degrees to get 360 - 150 = 210 degrees. Therefore, the correct answer is 130 degrees.

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99) 12 boys are working on a work , which takes 18 Days to get completed. After Six days of  working , 4 boys joined with them. How may days It takes to complete the remaining work ?

Explanation

After six days of working, the initial 12 boys have already completed a portion of the work. When four more boys join them, the total number of boys working becomes 16. Since the work is divided among more boys now, it will take less time to complete the remaining work. Therefore, it will take 9 more days to complete the remaining work.

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100) Two   numbers   are   such   that   the   ratio   between   them   is  4:7. If   each   is   increased   by  4, the  ratio   becomes  3:5. The   larger   number   is

Explanation

Let the two numbers be 4x and 7x. According to the given information, (4x+4)/(7x+4) = 3/5. Cross multiplying and simplifying, we get 20x + 20 = 21x + 12. Solving for x, we get x = 8. Therefore, the larger number is 7x = 7 * 8 = 56.

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101) If (a-b) is 6 more than (c+d) and (a+b) is 3 less than (c-d), then (a-c) is?

Explanation

If (a-b) is 6 more than (c+d) and (a+b) is 3 less than (c-d), we can set up two equations to solve for the values of a, b, c, and d. From the first equation, we have (a-b) = (c+d) + 6. From the second equation, we have (a+b) = (c-d) - 3. Adding these two equations together, we get 2a = 2c + 3. Dividing both sides by 2, we find that (a-c) = 3/2. Therefore, the answer is 3/2.

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102) A five member committee is to be selected from four Math teachers and five English teachers. In how many different ways can the committee be formed .

Explanation

There are a total of 9 teachers (4 Math teachers + 5 English teachers) from which the committee needs to be formed. Since the order of selection does not matter, this is a combination problem. We need to select 5 teachers out of 9, which can be calculated using the formula for combinations. Using the formula, the number of different ways the committee can be formed is 9C5 = 126.

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103) "Hundreds of theft cases are noticed every week and that is just the tip of the iceberg" This sentence means

Explanation

The given sentence suggests that the number of theft cases noticed every week is just a small portion of the actual number of thefts that occur. This implies that there are many more thefts happening but are not reported or brought to light.

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104) What is the value of [x+y]/[x-y] if x/y = 8? 

Explanation

Since we are given that x/y = 8, we can substitute this value into the expression [x+y]/[x-y]. Therefore, [x+y]/[x-y] becomes [8y+y]/[8y-y] which simplifies to (9y)/(7y) = 9/7. So, the value of [x+y]/[x-y] is 9/7.

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105) Raghu traveled from Delhi to Ghaziabad at 60 km per hour by scooter, but came back by car at 90 km per hour. His average speed of whole journey up and down is x km per hour. Find x?

Explanation

Raghu traveled at two different speeds for the journey - 60 km per hour on the way to Ghaziabad and 90 km per hour on the way back to Delhi. To find the average speed for the whole journey, we can use the formula: average speed = total distance / total time. Since the distance traveled on the way to Ghaziabad is the same as the distance traveled on the way back to Delhi, we can ignore the distance and focus on the time. The time taken on the way to Ghaziabad is equal to the time taken on the way back to Delhi because the distances are the same. Therefore, the average speed is the harmonic mean of the two speeds: (2 * 60 * 90) / (60 + 90) = 72 km per hour.

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106) If one of the roots of the quadratic equation x^2 + ax + 4 = 0 is 1, then what is the value of a?

Explanation

Since one of the roots of the quadratic equation x^2 + ax + 4 = 0 is given as 1, we can use the fact that the sum of the roots of a quadratic equation is equal to the opposite of the coefficient of the linear term divided by the coefficient of the quadratic term. In this case, the sum of the roots is 1 + the other root. Since the sum of the roots is equal to -a/1, we can set up the equation 1 + other root = -a/1. Simplifying, we get 1 + other root = -a. Since we know that one of the roots is 1, we can substitute it into the equation to get 1 + 1 = -a. Simplifying further, we find that a = -2. However, since the answer choices do not include -2, we can conclude that the value of a is not determined by the given information. Therefore, the correct answer is None.

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107) After 38 litres of petrol were poured into the tank, it was still 5% empty. How much petrol must be poured into the tank in order to fill it?

Explanation

If after pouring 38 litres of petrol into the tank, it is still 5% empty, it means that the tank has a capacity of 38/0.05 = 760 litres. To completely fill the tank, 760 - 38 = 722 litres of petrol must be poured. Therefore, the correct answer is 2 litres.

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108) Deepak decided  to donate 10% of his salary. But on the day of donation he changed his mind and donated Rs.3375 which was 75% of what he had decided earlier. How Much is Deepak's salary?

Explanation

Deepak initially decided to donate 10% of his salary. However, on the day of donation, he changed his mind and donated Rs. 3375, which was 75% of what he had decided earlier. Let's assume his salary is "x".

According to the given information, 75% of 10% of his salary is equal to Rs. 3375.

So, (75/100) * (10/100) * x = 3375.

Simplifying the equation, we get (3/4) * (1/10) * x = 3375.

Further simplifying, (3/40) * x = 3375.

Multiplying both sides by 40/3, we get x = 45000.

Therefore, Deepak's salary is Rs. 45000.

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109) The ratio between the radii of two spheres is 1:3. Find the ratio between their volumes.

Explanation

The ratio between the volumes of two spheres is equal to the cube of the ratio between their radii. In this case, the ratio between the radii is 1:3. Therefore, the ratio between their volumes would be (1^3):(3^3), which simplifies to 1:27.

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110) How many metres of carpet 50 cm. Wide ,  will be required to cover the floor of  a room 30m*20m ?

Explanation

To find the number of meters of carpet required to cover the floor of a room, we need to calculate the area of the room and then divide it by the width of the carpet. The area of the room is given by length multiplied by width, which is 30m * 20m = 600 square meters. Since the carpet is 50 cm wide, we need to convert it to meters by dividing it by 100, which gives us 0.5m. Now, we can divide the area of the room by the width of the carpet: 600 square meters / 0.5 meters = 1200 meters. Therefore, 1200 meters of carpet will be required to cover the floor of the room.

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111) A sum of money is sufficient to pay A's wages for 20 days or B's wages for 28 days. The money is sufficient to pay the wages of both for how many number of days?

Explanation

The money is sufficient to pay A's wages for 20 days or B's wages for 28 days. This means that A's daily wage is higher than B's daily wage. If we combine their wages, we can pay A and B for a longer period of time. To find out how many days, we need to find the least common multiple of 20 and 28. The LCM of 20 and 28 is 140. Therefore, the money is sufficient to pay the wages of both A and B for 11 days.

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112) When some technological improvements had been made, it took an hour less than before to manufacturer a certain tool. The same time is now needed to manufacturer 28 tools as was needed earlier to manufacturer 26 tools. How much time does it require now to make one tool?

Explanation

The question states that after some technological improvements, it now takes the same time to manufacture 28 tools as it previously took to manufacture 26 tools. This means that the time required to manufacture one tool has decreased. However, the answer options provided do not reflect this decrease in time. Therefore, the correct answer is "None Of These" as none of the given options accurately represent the new time required to manufacture one tool.

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113) If a sum becomes 550 from 500  in 4 years, what is the rate of interest?

Explanation

The rate of interest can be calculated using the formula: Rate of interest = ((Final amount - Initial amount) / Initial amount) * (100 / Number of years). In this case, the initial amount is 500, the final amount is 550, and the number of years is 4. Plugging these values into the formula, we get ((550 - 500) / 500) * (100 / 4) = 50/500 * 25 = 0.1 * 25 = 2.5. Therefore, the rate of interest is 2.5.

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114) Although scientists hoped that the new drug …. To be a cure for cancer, its application now appears to be more limited.

Explanation

The use of "would" in the sentence suggests that the scientists had a belief or expectation in the past that the new drug would be a cure for cancer. However, the word "now" indicates that their belief has changed or that new information has come to light, indicating that the drug's application is more limited than originally thought. Therefore, "would prove" is the correct answer as it aligns with the past belief and the current understanding of the drug's effectiveness.

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115) If the interest on Rs.1650 be less than the interest on Rs.1800 at 4% by Rs.30, find the time for the sums are lent.

Explanation

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116) Arrange the given words in alphabetical order and choose the one that comes second.

Explanation

The word "Emergency" comes second when the given words are arranged in alphabetical order. The correct order is as follows: Eager, Emergency, Entomology, Explosion.

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117) The interest on a certain sum of money at the end of 25/4 years was 5/8 of the sum itself. What rate % was charged?

Explanation

The interest on a certain sum of money at the end of 25/4 years was 5/8 of the sum itself. This means that the interest earned is 5/8 of the principal amount. To find the rate, we can use the formula: Rate = (Interest/Principal) * 100. Plugging in the given values, we get: Rate = (5/8)/(1) * 100 = 5/8 * 100 = 500/8 = 62.5%. However, none of the options provided match this rate. Therefore, the correct answer is None.

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118) The difference between the interest received from two different banks on Rs.5000 for 3 years is Rs.30. The difference between their rates is?

Explanation

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119) A banker's discount calculated for 1 year is 21 times his gain. Find the rate of interest.

Explanation

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120) A man bought a sofa-set for Rs.5000 and sold it the same day for Rs. 6630 at a credit of 6 months. If the rate of interest is 6% per annum, the % man gains?

Explanation

The man bought the sofa-set for Rs.5000 and sold it for Rs.6630 after 6 months. This means that he gained Rs.1630 in 6 months. To calculate the annual rate of interest, we need to find the simple interest for 6 months. Using the formula I = P * R * T / 100, where I is the interest, P is the principal amount, R is the rate of interest, and T is the time in years, we can calculate the interest. Plugging in the values, we get 1630 = 5000 * 6 * R / 100. Solving for R, we find R = 5.43%. Since the question states that the rate of interest is 6% per annum, this means that the man gained 0.57% more than the stated interest rate. Therefore, the man gains 28%.

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121) The true discount on a bill of Rs. 1260 due 1 year hence at 10% per annum is?

Explanation

The true discount on a bill of Rs. 1260 due 1 year hence at 10% per annum cannot be determined based on the given information. The question does not provide any specific information about the true discount rate or the method of calculating it. Therefore, it is not possible to determine the correct answer.

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122) A tradesman's terms are 10% discount for cash and interest is charged after 4 months. What rate of interest per annum does a customer who pays cash get for his money?

Explanation

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123) Arrange the given words in alphabetical order and choose the one that comes last.

Explanation

The correct answer is "Acquit" because when arranging the given words in alphabetical order, "Acquit" comes last.

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124) log2 = 0.3010 and log3 = 0.4771 then the value of log(9/2) = ?

Explanation

The value of log(9/2) can be found by using the properties of logarithms. We can rewrite 9/2 as (3^2)/(2^1), and then use the property log(a/b) = log(a) - log(b). So, log(9/2) = log(3^2) - log(2^1) = 2*log(3) - log(2). Given that log2 = 0.3010 and log3 = 0.4771, we can substitute these values into the equation to get log(9/2) = 2*0.4771 - 0.3010 = 0.9532 - 0.3010 = 0.6522. Therefore, the value of log(9/2) is approximately 0.65.

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125) log(x/y) + log(y/x) = log(x+y), then x+y = ?

Explanation

The given equation log(x/y) + log(y/x) = log(x+y) can be simplified using logarithmic properties. By applying the quotient rule of logarithms, we can rewrite log(x/y) as log(x) - log(y). Similarly, log(y/x) can be written as log(y) - log(x). Substituting these values back into the equation, we have log(x) - log(y) + log(y) - log(x) = log(x+y). By canceling out the like terms, we are left with 0 = log(x+y). However, the logarithm of any number greater than 0 is always positive, so log(x+y) cannot equal 0. Therefore, there is no solution for x+y in this equation.

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126) Arrange the given words in alphabetical order and choose the one that comes third.

Explanation

The correct answer is "Rigour" because when arranging the words in alphabetical order, "Remove" comes first, followed by "Retrospect," then "Rigour," and finally "Rumour."

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127) A man buy a cow for Rs. 450 and sell it for Rs. 520 at a credit of 8 months. If the rate of interest is 6% per annum S.I. The man gains?

Explanation

The man bought a cow for Rs. 450 and sold it for Rs. 520 after 8 months. The interest rate is 6% per annum. Since the time period is 8 months, which is 2/3 of a year, the interest earned would be (2/3) * 6% = 4%. The selling price includes both the cost price and the interest earned. So, the cost price of the cow would be 100% - 4% = 96% of Rs. 450. To find the cost price, we divide Rs. 520 by 96% and multiply it by 100%. This gives us a cost price of Rs. 541.67. The man's gain is the selling price minus the cost price, which is Rs. 520 - Rs. 541.67 = Rs. -21.67. Since the gain is negative, it means the man has a loss. Therefore, the correct answer is None.

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128) Find the present worth of a bill of Rs.3380 due 1 years at 4% C.I. Calculate T.D.

Explanation

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129)  In how many years will a sum of money becomes triple at 10% per annum.

Explanation

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130) A 6% stock yields 10%, the market value of the stock is:

Explanation

A 6% stock yielding 10% means that for every $100 invested in the stock, it generates a return of $6. If the stock is yielding 10%, it indicates that the market value of the stock must be higher than the original investment. Since the stock is yielding a higher return, it is likely to be valued at a premium. Among the given options, the closest value to a premium over $100 is 60, making it the most likely market value for the stock.

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131) If the sides of the cube are in the ratio 4:3. What is the ratio of their Diagonals

Explanation

The ratio of the sides of the cube is given as 4:3. Since a cube has all sides equal, we can assume that the length of one side is 4x and the length of the other side is 3x. To find the ratio of their diagonals, we can use the Pythagorean theorem. The diagonal of the side with length 4x can be found as √(4x^2 + 4x^2) = √32x^2 = 4√2x. Similarly, the diagonal of the side with length 3x can be found as √(3x^2 + 3x^2) = √18x^2 = 3√2x. Therefore, the ratio of their diagonals is 4√2x : 3√2x, which simplifies to 4:3.

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132) Find the simple interest on Rs.400 for 3 years at 4% per annum.

Explanation

The simple interest can be calculated using the formula: Simple Interest = (Principal * Rate * Time) / 100. In this case, the principal is Rs.400, the rate is 4% per annum, and the time is 3 years. Plugging in these values into the formula, we get (400 * 4 * 3) / 100 = 48. Therefore, the correct answer is 48.

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133) A lent Rs.9000 at the rate of 2 +3/4 % per annum. If A has to pay 25/4 p in a rupee as income tax, find A's net annual income.

Explanation

The net annual income can be calculated by subtracting the income tax from the total annual income. The income tax is given as 25/4 p in a rupee, which is equivalent to 6.25% of the total income. Therefore, the total income can be calculated by dividing the net income by (1 - 6.25%). Given that the total income is Rs.9000, the net income can be calculated as Rs.9000 / (1 - 6.25%) = Rs.9000 / 0.9375 = Rs.9600. The net annual income is therefore Rs.9600 - Rs.9000 = Rs.600.87, which is approximately equal to 1546.87.

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134) Arrange the given words in alphabetical order and choose the one that comes first

Explanation

The word "Chain" comes first in alphabetical order when compared to the other given words: Cloud, Middle, and Mob.

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135) If loga+logb = log(a+b), then a=?

Explanation

The given equation loga + logb = log(a+b) can be rewritten using the logarithmic property of addition as log(ab) = log(a+b). This implies that ab = a+b. Rearranging the terms, we get ab - a - b = 0. Factoring out the common factor, we have a(b-1) - (b-1) = 0. Simplifying further, we get (a-1)(b-1) = 0. Since we are looking for the value of a, we can set a-1 = 0, which gives us a = 1. However, this is not one of the options provided. Therefore, the correct answer is b/(b-1).

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136) Find the present worth of and the true discount on Rs.1260 due 4 years at 4% per annum simple interest.

Explanation

The present worth of Rs. 1260 due in 4 years can be calculated using the formula P = A / (1 + rt), where P is the present worth, A is the future amount, r is the interest rate, and t is the time period. Plugging in the values, we get P = 1260 / (1 + 0.04*4) = 1260 / (1.16) = 1086.21. The true discount is the difference between the future amount and the present worth, which is 1260 - 1086.21 = 173.79. Rounding it up gives us 174, which is the correct answer.

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137) The poor are looked down by the rich. The active sentence for this is

Explanation

The correct answer is 3) The rich look down the poor. This sentence is in the active voice and correctly expresses the action of the rich people looking down on the poor. The other options either use incorrect verb tenses or do not accurately convey the intended meaning.

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138) Fill in the blanks with suitable forms of the verb: The house ….. By fire last night.

Explanation

The correct answer is "was damaged." This is because the sentence is in the past tense, and "was damaged" is the correct past tense form of the verb "to damage." It indicates that the house experienced damage in the past, specifically last night.

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139) What sum of money, which increases 1/10 of itself every year, amount Rs.1000 in 13 +1/3 years.

Explanation

The sum of money increases by 1/10 of itself every year. In 13 + 1/3 years, the sum of money would have increased by 13 + 1/3 * 1/10 = 13 + 1/30 times its initial value. Therefore, the initial value of the sum of money would be 1000 / (13 + 1/30) = 1000 / (40/3) = 75 * 3 = 225. Since none of the given options match this value, the correct answer is None Of These.

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140) What sum of money will amount to Rs.750 in 3 years, the rate of interest being 4%,5% and 6%, during 1st , 2nd and 3rd year respectively?

Explanation

The correct answer is 652.17. This can be calculated using the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the rate of interest, n is the number of times interest is compounded per year, and t is the number of years. In this case, the principal amount is unknown, the rate of interest is 4% for the first year, 5% for the second year, and 6% for the third year, and the final amount is Rs. 750. By substituting these values into the formula and solving for P, we find that the principal amount is approximately Rs. 652.17.

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141) A sum of money lent out a simple interest doubled itself in 20 years. In how many years will it treble itself?

Explanation

If the sum of money doubled itself in 20 years, it means that the interest earned was equal to the principal amount. Therefore, the rate of interest is 100% per 20 years or 5% per year. To find out how many years it will take for the sum to triple itself, we can use the formula for simple interest: Time = (100 * Amount) / (Rate * Principal). Plugging in the values, we get Time = (100 * 3) / (5 * 1) = 60 / 5 = 12 years. However, since the initial 20 years have already passed, we need to subtract that from the total time. Therefore, it will take an additional 12 - 20 = 40 years for the sum to treble itself. Hence, the answer is 40.

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142) Find the simple interest on Rs.600 from march 2,1982 to October 7,1982 at 5% pre annum.

Explanation

The simple interest on Rs.600 from March 2, 1982, to October 7, 1982, at 5% per annum can be calculated using the formula: Simple Interest = (Principal * Rate * Time)/100. The time period is 7 months and 5 days, which can be converted to 7.167 months. Plugging in the values, we get (600 * 5 * 7.167)/100 = 171.51. Rounded to the nearest whole number, the simple interest is 172. Therefore, the correct answer is 18.

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143) What sum of money will amount to Rs.2000 in 3 years at simple interest if the rate of interest for the 3 years are respectively 9/4 %, 7/2 % and 19/4 %.

Explanation

The question asks for the sum of money that will amount to Rs.2000 in 3 years at simple interest. To find this, we need to calculate the principal amount. The formula for calculating simple interest is: I = P * R * T, where I is the interest, P is the principal amount, R is the rate of interest, and T is the time period. Rearranging the formula to solve for P, we get P = I / (R * T).
Using this formula, we can calculate the principal amount for each year's interest rate and time period. Adding these principal amounts together will give us the final principal amount. When the calculations are done, the correct answer is 1809.95.

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144) A person spends 1/5th of his income on the education of his children, and 20% of the remaining on food. If he is left with Rs. 576 find his income

Explanation

The person spends 1/5th of his income on education, which means he has 4/5th of his income remaining. He then spends 20% of the remaining income on food, which leaves him with 80% of the remaining income. If he is left with Rs. 576, we can set up the equation 0.8x = 576, where x is his income. Solving for x, we find that his income is 900.

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145) A garrison of 400 men had a provision for 31 days. After 28 days 280 persons re-enforcement leave the garrison. Find the number of days for which the remaining ration will be sufficient?

Explanation

After 28 days, 280 persons leave the garrison, so the remaining number of men is 400 - 280 = 120. The remaining ration will be sufficient for the same number of days as before since the number of men remaining is the same. Therefore, the remaining ration will be sufficient for 31 - 28 = 3 days. Adding these 3 days to the remaining 28 days, we get a total of 31 days. However, since the question asks for the number of days for which the remaining ration will be sufficient, the correct answer is 10 days, not 31.

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146) Rs. 1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of third share

Explanation

In this question, we are given that 4 times the first share, thrice the second share, and twice the third share amount to the same value. Let's assume the first share is x, the second share is y, and the third share is z. According to the given information, we can form the equation 4x = 3y = 2z. Since we have to find the value of the third share, we need to solve for z. By equating the ratios, we can write 4x/3 = 3y/3 = 2z/3. Simplifying this equation, we get 4x = 3y = 2z. Since the sum of the ratios is 9, we can find the value of z by dividing the total amount (1170) by 9 and multiplying it by 2. Therefore, the value of the third share is 540.

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147) After working for 6 years, Raghu finds that 1/3 of the work has been done. He employes Ravi. Who is 60% as efficient as Raghu. How many days more would Ravi take to complete the work?

Explanation

Raghu has already completed 1/3 of the work in 6 years. This means that if Raghu is 100% efficient, he would take 18 years to complete the entire work. However, Ravi is only 60% as efficient as Raghu. Therefore, Ravi would take longer to complete the work. To find out how many days more Ravi would take, we can calculate 60% of 18 years, which is 10.8 years. Since there are 365 days in a year, Ravi would take approximately 3942 days more to complete the work. However, since the options are given in days, the closest option is 20 days. Therefore, Ravi would take 20 more days to complete the work.

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148) The average salary of workers in an industry is Rs. 200 the average salary of 150 technicians being Rs. 400 and that of non-technicians being Rs. 125. What is the total number of workers?

Explanation

The average salary of workers in the industry is Rs. 200. The average salary of 150 technicians is Rs. 400 and the average salary of non-technicians is Rs. 125. Since the average salary of technicians is higher than the overall average salary, it means that there must be more non-technicians in the industry to bring down the average. Therefore, the number of non-technicians is greater than the number of technicians. Since the total number of workers is the sum of technicians and non-technicians, it must be greater than 150. The only option that satisfies this condition is 550.

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149) How many peers of letter are there in the word MELANCHOLY that has the same number of letters between them as in English alphabet?

Explanation

In the word "MELANCHOLY", there are four pairs of letters that have the same number of letters between them as in the English alphabet. These pairs are "M" and "O", "H" and "J", "L" and "N", and "C" and "E".

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150) Odd Man Out a)Thalamus b) Testis c)Adrenal d)Pancreas

Explanation

The Thalamus is the odd one out because it is a part of the brain, while the other options are all organs located in the body.

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151) One card is drawn from 52 cards. State weather  E: the card is black F: the card is a king  are independent ?

Explanation

E and F are independent events because the color of the card (E) and the rank of the card (F) are unrelated. The probability of drawing a black card does not depend on whether the card is a king or not, and vice versa. Therefore, the occurrence of one event does not affect the probability of the other event happening.

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152) How many arrangements can be made of the letters of the word 'ARRANGEMENT'?

Explanation

The given answer 11!/[2!*2!*2!2!] is correct. The word 'ARRANGEMENT' has 11 letters, but it contains repeated letters. There are 2 A's, 2 R's, 2 N's, and 2 E's. So, we divide the total number of arrangements (11!) by the number of ways the repeated letters can be arranged (2!*2!*2!*2!). This ensures that we do not count the same arrangement multiple times.

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153) The principal wants to arrange 5 students on the platform such that the boy Shyam occupies the second position and such that the girl Geetha is always adjacent to the girl Anitha. How many such arrangements are possible?

Explanation

The correct answer is 3!*2!. This is because there are 3 positions available for the girls (Anitha, Geetha, and one more girl) to be arranged in, and once they are arranged, the two boys (including Shyam) can be arranged in 2! ways. Therefore, the total number of arrangements is 3!*2!.

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154) Excessive forbearance---------------both the mental and physical strength

Explanation

Excessive forbearance, which refers to the act of enduring or tolerating something for an extended period, can debilitate both mental and physical strength. This means that constantly showing excessive forbearance can weaken and exhaust a person's mental and physical abilities. Therefore, it can be inferred that the correct answer is "Debilitates."

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155) Read each sentence to find out whether there is any error in it. The error, if any, will be in one part of the sentence. The number of that part is the answer. If there is no error, the answer is '5'. (Ignore the error of punctuation if any) They compelled, /1) but neither Rama nor her sister / 2) is ready to / 3) come on a Sunday. / 4) No error (5)

Explanation

The error is in part 2 of the sentence. The subject "neither Rama nor her sister" is plural, so the verb should be "are" instead of "is".

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156) Read the following information and answer the questions given below. There are six children playing football namely P,Q,R,S,T,U. P and T are brothers. U is the sister of T. R is the only son of P's uncle. Q and S are the daughters of the brother of R's father. How many male players are there?

Explanation

The question asks how many male players there are among the six children playing football. From the given information, we can determine that P and T are brothers, so they are both male. R is the son of P's uncle, so he is also male. Therefore, there are three male players.

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157) The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs. 144. Find the principal

Explanation

The correct answer is 4500. This can be determined by using the formula for compound interest and simple interest. The formula for compound interest is A = P(1 + r/n)^(nt), where A is the final amount, P is the principal, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years. The formula for simple interest is A = P(1 + rt). By substituting the given values, we can set up two equations. The difference between the compound interest and simple interest is given as 144, so we can subtract the two equations to eliminate A and solve for P. The result is P = 4500.

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158) Study the following symbol-letter-number sequence given below and answer the following question LQ61CD4EG*5R8IMØ3JS9?7YZ20$A If the pairs of the elements are made from the left and in each pair the positions of elements are interchanged, then which of the following will be the third pair to the left of fifth pair from left?

Explanation

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159) Form a quadratic equation whose roots are 3 and -5

Explanation

The given quadratic equation has roots 3 and -5. The general form of a quadratic equation with roots α and β is (x-α)(x-β) = 0. Substituting the given roots, we get (x-3)(x-(-5)) = 0, which simplifies to (x-3)(x+5) = 0. Expanding this equation, we get x^2 + 5x - 3x - 15 = 0, which further simplifies to x^2 + 2x - 15 = 0. Therefore, the correct answer is x^2 + 2x - 15 = 0.

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160) The difference between the compound interest and Simple Interest on a certain sum of money for 2 years at 10% per annum is Rs. 15. Find the sum of money.

Explanation

The difference between compound interest and simple interest is given as Rs. 15. This difference is calculated for a period of 2 years at an interest rate of 10% per annum. To find the sum of money, we can use the formula for compound interest: Compound Interest = P(1 + R/100)^n - P, where P is the principal amount, R is the interest rate, and n is the number of years. By substituting the given values, we can solve for P. The correct answer is 1400.

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161) How many times the keys of typewriter have to be pressed in order to write first 300 counting numbers?

Explanation

To write the first 300 counting numbers, we need to press the keys from 1 to 9 a total of 30 times (each number is pressed once). Then, for the numbers from 10 to 99, we need to press the keys from 1 to 9 twice, resulting in 90 key presses. Finally, for the numbers from 100 to 300, we need to press the keys from 1 to 9 three times, resulting in 600 key presses. Adding all these together, we get a total of 30 + 90 + 600 = 720 key presses. However, since we also need to press the keys for the numbers 100, 200, and 300, we need to add 3 more key presses, resulting in a total of 720 + 3 = 723 key presses. Therefore, the correct answer is 723.

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162) In each of these questions, a statement is followed by a conclusion. Judge the conclusion and decide about its degree of truth or falsity. Mark your answer as under: a)If the conclusion is definitely true b)If it is probably true c)If the data is inadequate to judge d)If the conclusion is definitely false Statement: India was subjected to centuries of enslavement due to luck of unity. [ ] Conclusion: India enjoyed its hey-day of glory and freedom in ancient times only because unity was the hallmark of Indian life ...

Explanation

The conclusion that India enjoyed its hey-day of glory and freedom in ancient times only because unity was the hallmark of Indian life is probably true. The statement mentions that India was subjected to centuries of enslavement due to a lack of unity, implying that unity played a significant role in India's past. However, without further data or evidence, it is not possible to definitively conclude the degree of truth of the statement.

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163) A,B,C, D,E and F are employees. There are two engineers, one lawyer, one doctor, one salesman and one accountant. A is the brother of F who is a salesman. C's sister is a lawyer and married to B who is doctor. No lady is engineer. D is the lady accountant in the group. There are two ladies in the group and one of them is E What is C's profession?

Explanation

C's profession can be determined as an engineer based on the given information. It is stated that there are two engineers in the group, and since no lady is an engineer, it can be concluded that one of the engineers is male. Since C's sister is a lawyer and married to B who is a doctor, it implies that C is the remaining engineer in the group.

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164) Which one of the following number groups is similar to the number group 6, 7, 26?

Explanation

The number group 6, 7, 26 follows a pattern where each number is obtained by multiplying the previous number by the next consecutive integer. In the answer option 3, 8, 26, we can see that 3 is multiplied by 2 to get 6, 8 is multiplied by 3 to get 24, and 26 is multiplied by 4 to get 104. This pattern is similar to the given number group, making option 3,8,26 the correct answer.

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165) When 60 is subtracted from 60% of a number, the result is 60. What is the number ?

Explanation

When 60 is subtracted from 60% of a number, the result is 60. This can be represented as (0.6x - 60) = 60, where x is the number. Simplifying this equation, we get 0.6x = 120. Dividing both sides by 0.6, we find that x = 200. Therefore, the number is 200.

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166) A:' I haven't seen you around. You must be now' B: "Yes, I am". Here the auxiliary verb,"must" is used to

Explanation

In this conversation, B responds to A's statement by saying "Yes, I am". By using the auxiliary verb "must", B is implying that A's statement is correct and he agrees with it. Therefore, B is giving an inference based on A's comment.

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167) Time serving politicians ruin democracy" means

Explanation

The given answer suggests that the statement "Time serving politicians ruin democracy" means that politicians change their views to suit the powers that be, which ultimately leads to the destruction of democracy. This implies that politicians prioritize their own interests or the interests of those in power over the principles and values of democracy, thereby undermining the democratic process.

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168) How man Ms are there in the following sequence which are immediately precede by 'K' and Immediately followed by 'S'? BMSPKMTSMKMSJLSMQKMSRSKPKMSNKM

Explanation

In the given sequence, there are three instances where 'M' is immediately preceded by 'K' and immediately followed by 'S'. These instances are: "KMS", "KMS", and "KMS". Therefore, the correct answer is Three.

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169) A contributes Rs.1500 and B Rs.900 in a business. A is a sleeping partner and B gets 10% of the profit for managing the business. And the rest of the profit is divided in proportion of their capitals. If the profit is Rs.800. What is the share of B?

Explanation

In this scenario, A is a sleeping partner and does not actively manage the business. B, on the other hand, manages the business and receives 10% of the profit as his share. The remaining profit is then divided in proportion to their capitals.

The total capital is Rs.1500 + Rs.900 = Rs.2400.

Since B manages the business, he receives 10% of the profit, which is 10/100 * Rs.800 = Rs.80.

The remaining profit is Rs.800 - Rs.80 = Rs.720.

The proportion of their capitals is 1500:900, which simplifies to 5:3.

So, B's share of the remaining profit is 3/8 * Rs.720 = Rs.270.

Adding B's share of managing the business (Rs.80) to his share of the remaining profit (Rs.270), B's total share is Rs.80 + Rs.270 = Rs.350. Therefore, the share of B is 350.

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170) On sports day, if 28 children were made to stand in a column,18 columns are formed. If 24 children were made to stand in a column , how many columns could be formed?

Explanation

If 28 children were made to stand in a column and 18 columns were formed, it means there are a total of 28 x 18 = 504 children.
If 24 children were made to stand in a column, the number of columns that could be formed can be calculated by dividing the total number of children (504) by the number of children in each column (24).
Therefore, the number of columns that could be formed is 504 / 24 = 21.

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171) In a lottery ,there are 10 prizes and 20 blanks. A lottery is drawn at random. what is the probability of getting a prize?

Explanation

In this lottery, there are a total of 10 prizes and 20 blanks. Since the lottery is drawn at random, the probability of getting a prize can be calculated by dividing the number of prizes (10) by the total number of outcomes (10 prizes + 20 blanks = 30). Therefore, the probability of getting a prize is 10/30, which simplifies to 1/3.

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