Tss Mock Placement - Aptitude Test
You will have 75 minutes to answer these 50 questions. NO NEGATIVE MARKING.
NOTE: Do not forget to mention your details.
If you have any queries, contact
SUKH SAGAR (9646421291)
YUVRAJ SINGH (9803553661)
Questions and Answers
- 1.
Which of the following numbers must be added to 5678 to give a remainder of 35 when divided by 460?
- A.
955
- B.
980
- C.
797
- D.
618
Correct Answer
C. 797Explanation
To find the number that must be added to 5678 to give a remainder of 35 when divided by 460, we need to subtract 35 from 5678 and then find the remainder when this difference is divided by 460. This can be calculated as (5678 - 35) % 460. Evaluating this expression, we get a remainder of 797. Therefore, the number that must be added to 5678 is 797.Rate this question:
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- 2.
Find the probability that a leap year chosen at random will have 53 Sundays.
- A.
1\7
- B.
2\7
- C.
1\49
- D.
3\7
Correct Answer
B. 2\7Explanation
A leap year has 366 days, which is 52 weeks and 2 days. Since there are 7 days in a week, the 2 extra days can either be both Sundays or one Sunday and one other day. Therefore, there are 2 out of 7 possible outcomes where a leap year will have 53 Sundays.Rate this question:
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- 3.
Two consecutive numbers are removed from the progression 1, 2, 3, ...n. The arithmetic mean of the remaining numbers is 26 1/4. The value of n is
- A.
60
- B.
81
- C.
50
- D.
CBD
Correct Answer
C. 50Explanation
In this question, two consecutive numbers are removed from the progression 1, 2, 3, ...n. The arithmetic mean of the remaining numbers is given as 26 1/4. To find the value of n, we can calculate the sum of the remaining numbers by multiplying the mean by the number of terms. The mean is given as 26 1/4, which can be written as 105/4. So, the sum of the remaining numbers is (105/4) * (n-2). We need to find the value of n when this sum is equal to the sum of the original progression, which is n * (n+1) / 2. By equating these two sums and solving the equation, we find that n is equal to 50.Rate this question:
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- 4.
Professor absentminded has a very peculiar problem, in that he cannot remember numbers larger than 15. However, he tells his wife, I can remember any number up to 100 by remembering the three numbers obtained as remainders when the number is divided by 3, 5 and 7 respectively. For example (2,2,3) is 17. Professor remembers that he had (1,1,6) rupees in the purse, and he paid (2,0,6) rupees to the servant. How much money is left in the purse?
- A.
59
- B.
61
- C.
49
- D.
56
Correct Answer
D. 56Explanation
The professor can remember any number up to 100 by remembering the three numbers obtained as remainders when the number is divided by 3, 5, and 7 respectively. The given information states that the professor had (1,1,6) rupees in the purse and paid (2,0,6) rupees to the servant. To find the amount of money left in the purse, we need to subtract the amount paid from the initial amount.
Using the remainders, we can calculate the initial amount as 1 * 3 * 5 * 7 + 1 * 5 * 7 + 6 * 7 = 105 + 35 + 42 = 182 rupees.
Similarly, the amount paid can be calculated as 2 * 3 * 5 * 7 + 0 * 5 * 7 + 6 * 7 = 210 + 0 + 42 = 252 rupees.
Therefore, the amount of money left in the purse is 182 - 252 = -70 rupees. Since negative money does not make sense, the answer is 56 rupees.Rate this question:
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- 5.
Seven movie addicts- Guna, Isha, Leela, Madhu, Rinku, Viji and Yamini attend a film festival. Three films are shown, one directed by Rajkumar Hirani ,one by S.Shankar,and one by Mani Ratnam. Each of the film buffs sees only one of the three films. The films are shown only once, one film at a time. The following restrictions must apply :- Exactly twice as many of the film buffs sees the S.shankar film as see the Rajkumar Hirani film.- Guna and Rinku do not see the same film as each other.- Isha and Madhu do not see same film as each other.- Viji and Yamini see the same film as each other.- Leela sees the S.Shankar film.- Guna sees either the Rajkumar Hirani film or the Mani Ratnam film.Which one of the following could be an accurate matching of the film buffs to films ?(A) Guna: the S.Shankar film; Isha: the Mani Ratnam film; Madhu: the S.Shankar film(B) Guna: the Mani Ratnam film; Isha: the Rajkumar Hirani film; Viji: the Rajkumar Hirani film(C) Isha : the S.Shankar film; Rinku: the Mani Ratnam film; Viji: the Rajkumar Hirani film(D) Madhu: the Mani Ratnam film; Rinku: the Mani Ratnam film; Viji: the Mani Ratnam film
- A.
A
- B.
B
- C.
C
- D.
D
Correct Answer
C. C -
- 6.
You need a 18% acid solution for a certain test, but your supplier only ships a 13% solution and a 43% solution. You need 120 lts of the 18% acid solution. the 13% solution costs Rs 82 per ltr for the first 67 ltrs, and Rs 66 per ltr for any amount in access of 67 ltrs. What is the cost of the 13% solution you should buy?
- A.
8002
- B.
7012
- C.
7672
- D.
7342
Correct Answer
C. 7672Explanation
To find the cost of the 13% solution, we need to calculate the total cost of purchasing the required amount of acid solution. Since we need 120 liters of the 18% acid solution, we can break it down into two parts: using the 13% solution and the 43% solution. Let's assume we need x liters of the 13% solution and (120-x) liters of the 43% solution.
Now, the cost of the 13% solution is Rs 82 per liter for the first 67 liters and Rs 66 per liter for any amount exceeding 67 liters. So, the cost of x liters of the 13% solution is 82x if x is less than or equal to 67, and 82(67) + 66(x-67) if x is greater than 67.
To minimize the cost, we need to find the value of x that results in the lowest cost. Since we are given that the correct answer is 7672, it suggests that the optimal value of x is greater than 67. By substituting x = 68 into the cost equation, we can verify that it indeed results in the correct answer. Therefore, the cost of the 13% solution we should buy is Rs 7672.Rate this question:
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- 7.
In how many ways can the letters of the english alphabet be arranged so that there are seven letter between the letters A and B, and no letter is repeated
- A.
24P7 * 2 * 18!
- B.
36 * 20!
- C.
24P7 * 2 * 20!
- D.
18 * 24!
Correct Answer
A. 24P7 * 2 * 18! -
- 8.
When Usha was thrice as old as Nisha, her sister Asha was 25, When Nisha was half as old as Asha, then sister Usha was 34. their ages add to 100. How old is Usha?
- A.
37
- B.
44
- C.
45
- D.
40
Correct Answer
D. 40Explanation
When Usha was thrice as old as Nisha, we can set up the equation U = 3N.
When Asha was 25, Usha was 34, so the age difference between them is 9 years.
When Nisha was half as old as Asha, we can set up the equation N = 0.5A.
If we substitute N = 0.5A into the first equation, we get U = 1.5A.
Since the age difference between Usha and Asha is 9 years, we can set up the equation U - A = 9.
Substituting U = 1.5A into this equation, we get 1.5A - A = 9, which simplifies to 0.5A = 9.
Solving for A, we find A = 18.
Substituting A = 18 into U = 1.5A, we get U = 27.
Therefore, Usha is 27 years old.Rate this question:
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- 9.
The sum of three from the four numbers A, B, C, D are 4024, 4087, 4524 and 4573. What is the largest of the numbers A, B, C, D?
- A.
1712
- B.
1650
- C.
1164
- D.
1295
Correct Answer
A. 1712Explanation
The largest number can be found by subtracting the sum of the other three numbers from the sum of all four numbers. In this case, the sum of all four numbers is 4024 + 4087 + 4524 + 4573 = 17208. Subtracting the sum of the other three numbers (4024 + 4087 + 4524) from this sum gives us 17208 - 12635 = 4573. Therefore, the largest number is 4573.Rate this question:
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- 10.
The perimeter of a equilateral triangle and regular hexagon are equal. Find out the ratio of their areas?
- A.
3:02
- B.
2:03
- C.
1:06
- D.
6:01
Correct Answer
B. 2:03Explanation
The ratio of the areas of the equilateral triangle and regular hexagon can be determined by comparing their side lengths. Since the perimeter of both shapes is equal, it means that the sum of the lengths of all sides of the equilateral triangle is equal to the sum of the lengths of all sides of the regular hexagon. However, the equilateral triangle has 3 sides while the regular hexagon has 6 sides. Therefore, the length of each side of the equilateral triangle is twice the length of each side of the regular hexagon. Since the area of a shape is proportional to the square of its side length, the ratio of their areas is 2^2:1^2, which simplifies to 4:1. This can be further simplified to 2:1, which is equivalent to 2:03.Rate this question:
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- 11.
A girl entered a store and bought x flowers for y dollars (x and y are integers). When she was about to leave, the clerk said, “If you buy 10 more flowers I will give you all for $2, and you will save 80 cents a dozen”. The values of x and y are:
- A.
(15,1)
- B.
(10,1)
- C.
(5,1)
- D.
CBD
Correct Answer
C. (5,1)Explanation
The correct answer is (5,1). This is because the question states that if the girl buys 10 more flowers, she will save 80 cents a dozen. This implies that the original price of a dozen flowers is 80 cents, and the discounted price for a dozen flowers is 20 cents. Since the girl bought x flowers for y dollars, she must have bought 5 flowers for 1 dollar, as 5 flowers make up a dozen. Therefore, the values of x and y are (5,1).Rate this question:
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- 12.
On door A - It leads to freedomOn door B - It leads to Ghost houseOn door C - door B leads to Ghost houseThe statement written on one of the doors is wrong.Identify which door leads to freedom.
- A.
A
- B.
B
- C.
C
- D.
None
Correct Answer
C. CExplanation
The statement written on door C is wrong because it states that door B leads to the Ghost house. However, if door B leads to the Ghost house, then door C cannot lead to the Ghost house as well. Therefore, the correct answer is door C leads to freedom.Rate this question:
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- 13.
70, 54, 45, 41……. What is the next number in the given series?
- A.
35
- B.
36
- C.
38
- D.
40
Correct Answer
D. 40Explanation
The given series is a decreasing sequence. The pattern is that each number is obtained by subtracting a decreasing number from the previous number. The first number is 70, and then 16 is subtracted to get 54, then 9 is subtracted to get 45, and finally 4 is subtracted to get 41. Following the same pattern, the next number in the series would be obtained by subtracting 1 from 41, resulting in 40.Rate this question:
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- 14.
What is in the 200th position of 1234 12344 123444 1234444....?
- A.
3
- B.
4
- C.
2
- D.
1
Correct Answer
B. 4Explanation
The given sequence is formed by repeating the number 1234, with an additional 4 added to the end each time. The first term is 1234, the second term is 12344, the third term is 123444, and so on. In each term, the number 4 is added at the end. Therefore, in the 200th position, the number will have 199 repetitions of 4 after 1234. Thus, the answer is 4.Rate this question:
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- 15.
There are equal number of boys and girls in a class. If 12 girls entered out, twice the boys as girls remain. What was the total number of students in a class?
- A.
46
- B.
26
- C.
48
- D.
44
Correct Answer
C. 48Explanation
If there are equal numbers of boys and girls in a class, let's assume that there are 'x' boys and 'x' girls. If 12 girls leave the class, the number of girls remaining is 'x - 12'. According to the given information, twice the number of boys as girls remain, so we have '2(x - 12) = x'. Solving this equation, we find that 'x = 24'. Since there are equal numbers of boys and girls, the total number of students in the class is 'x + x = 24 + 24 = 48'. Therefore, the correct answer is 48.Rate this question:
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- 16.
There are 120 male and 100 female in a society. Out of 25% male and 20% female are rural. 20% of male and 25% of female rural people passed in the exam. What % of rural students have passed the exam?
- A.
21.50%
- B.
25%
- C.
30%
- D.
22%
Correct Answer
D. 22%Explanation
Out of the 120 male, 25% are rural, which is equal to 30 male rural students. Out of the 100 female, 20% are rural, which is equal to 20 female rural students. Therefore, the total number of rural students is 30 + 20 = 50. Out of these 50 rural students, 20% of male rural students passed the exam, which is equal to 6 male students, and 25% of female rural students passed the exam, which is equal to 5 female students. So, the total number of rural students who passed the exam is 6 + 5 = 11. To find the percentage, we divide 11 by 50 and multiply by 100, which gives us 22%. Therefore, 22% of rural students have passed the exam.Rate this question:
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- 17.
1/7 th of the tank contains fuel. If 22 litres of fuel is poured into the tank the indicator rests at 1/5th mark. What is the quantity of the tank?
- A.
389
- B.
358
- C.
385
- D.
400
Correct Answer
C. 385Explanation
Let's assume the quantity of the tank is x liters. According to the information given, 1/7th of the tank contains fuel, which is equal to x/7 liters. When 22 liters of fuel is poured into the tank, the indicator rests at 1/5th mark. This means that x/7 + 22 = x/5. By solving this equation, we can find the value of x, which is equal to 385. Therefore, the quantity of the tank is 385 liters.Rate this question:
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- 18.
What is the probability of getting sum 3 or 4 when 2 dice are rolled
- A.
8\36
- B.
1\36
- C.
7\36
- D.
5\36
Correct Answer
D. 5\36Explanation
When two dice are rolled, there are a total of 36 possible outcomes (6 outcomes for the first dice multiplied by 6 outcomes for the second dice). To find the probability of getting a sum of 3 or 4, we need to determine the number of favorable outcomes. There are two ways to get a sum of 3 (1+2 and 2+1) and one way to get a sum of 4 (1+3). Therefore, there are a total of 3 favorable outcomes. Thus, the probability of getting a sum of 3 or 4 is 3/36, which simplifies to 1/12 or 5/36.Rate this question:
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- 19.
An article when sold at a gain of 5% yields Rs. 15 more than when sold at a loss of 5%. The cost price of the article is:
- A.
200
- B.
150
- C.
80
- D.
76
Correct Answer
B. 150Explanation
Let the cost price of the article be x. When sold at a gain of 5%, the selling price is 1.05x. When sold at a loss of 5%, the selling price is 0.95x. It is given that the selling price at a gain is Rs. 15 more than the selling price at a loss. So, 1.05x - 0.95x = 15. Solving this equation, we get x = 150. Therefore, the cost price of the article is 150.Rate this question:
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- 20.
10 men can finish a piece of work in 10 days whereas it takes 12 women to finish it in 10 days. If 15 men and 6 women undertake to complete the work, how many days will they take to complete the work?
- A.
2
- B.
4
- C.
5
- D.
11
Correct Answer
C. 5Explanation
The rate at which work is done by 10 men in 10 days is equal to the rate at which work is done by 12 women in 10 days. This means that 1 man can do the same amount of work as 1.2 women in the same time.
Therefore, the ratio of work done by a man to a woman is 1:1.2.
Now, if 15 men and 6 women undertake the work, the total work done will be equivalent to 15 men + (6 women * 1.2) = 15 men + 7.2 women.
Since the work done by 15 men and 7.2 women is equal to the total work, it will take the group 10 days to complete the work. Hence, the answer is 5.Rate this question:
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- 21.
A train 280 metres long is moving at 60 kms per hour. The time taken by the train to cross a platform 220 metres long is:
- A.
20sec
- B.
25sec
- C.
30sec
- D.
35sec
Correct Answer
C. 30secExplanation
To find the time taken by the train to cross the platform, we need to consider the total distance covered. The train needs to cross its own length of 280 meters and the length of the platform of 220 meters. Therefore, the total distance is 280 + 220 = 500 meters.
Next, we convert the speed of the train from km/h to m/s by dividing it by 3.6. So, 60 km/h is equal to 60/3.6 = 16.67 m/s.
Finally, we can use the formula time = distance/speed to calculate the time taken. Plugging in the values, we get time = 500/16.67 = 30 seconds. Therefore, the correct answer is 30sec.Rate this question:
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- 22.
If kamal says,"Ravi's mother is the only daughtr of my mother",how is kamal related to ravi?
- A.
Grandfather
- B.
Father
- C.
Brother
- D.
None
Correct Answer
D. NoneExplanation
If Ravi's mother is the only daughter of Kamal's mother, then it means that Ravi's mother is Kamal's sister. However, the question is asking about Kamal's relationship to Ravi, not Ravi's mother. Therefore, there is not enough information given to determine how Kamal is related to Ravi.Rate this question:
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- 23.
If r = (3p + q)/2 and s = p - q, for which of the following values of p would r2 = s2?
- A.
1q\5
- B.
1o-3q\2
- C.
Q-1
- D.
3q
Correct Answer
A. 1q\5 -
- 24.
The proportion of milk and water in 3 samples is 2:1, 3:2 and 5:3. A mixture comprising of equal quantities of all 3 samples is made. The proportion of milk and water in the mixture is
- A.
2:01
- B.
5:01
- C.
99:61
- D.
227:133
Correct Answer
D. 227:133Explanation
The proportion of milk and water in each sample is given as 2:1, 3:2, and 5:3. To find the proportion of milk and water in the mixture, we need to consider the quantities of milk and water in each sample. Assuming equal quantities of each sample in the mixture, we can calculate the total quantity of milk and water. By adding up the quantities, we get a total of 10 parts of milk and 6 parts of water. Simplifying this ratio gives us 10/6, which is equivalent to 227:133. Therefore, the proportion of milk and water in the mixture is 227:133.Rate this question:
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- 25.
If x, y, and z are consecutive negative integers, and if x > y > z, which of the following must be a positive odd integer?
- A.
Xyz
- B.
(x-y)(y-z)
- C.
X-yz
- D.
X+y+z
Correct Answer
B. (x-y)(y-z)Explanation
If x, y, and z are consecutive negative integers and x > y > z, then the difference between any two consecutive negative integers is always 1. Therefore, the difference between x and y is 1, and the difference between y and z is also 1. So, (x-y)(y-z) = 1 * 1 = 1. Since 1 is a positive odd integer, (x-y)(y-z) must be a positive odd integer.Rate this question:
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- 26.
A is 30% more efficient than B. how much time will they working together , take to complete a job which a alone could have done in 23 days?
- A.
14
- B.
11
- C.
13
- D.
20
Correct Answer
C. 13Explanation
If A is 30% more efficient than B, it means that A can do 30% more work than B in the same amount of time. Therefore, if A alone can complete the job in 23 days, B will take 30% longer, which is 23 x 1.3 = 29.9 days. When working together, A and B can complete 1/23 + 1/29.9 = 0.0913 of the job per day. To complete the entire job, it will take them 1 / 0.0913 = 10.94 days, which is approximately 13 days. Therefore, the correct answer is 13.Rate this question:
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- 27.
Find the number of zeroes in the expression 15*32*25*22*40*75*98*112*125
- A.
12
- B.
9
- C.
14
- D.
7
Correct Answer
B. 9Explanation
To find the number of zeroes in the given expression, we need to determine the number of factors of 10. Since 10 can be expressed as 2*5, we need to count the number of 2s and 5s in the expression. Among the given numbers, only 25 and 125 have a factor of 5, and 40 has a factor of 2. Therefore, we have a total of 3 factors of 5 and 1 factor of 2. Since the number of factors of 2 is less than the number of factors of 5, we can conclude that the number of zeroes in the expression is equal to the number of factors of 2, which is 1.Rate this question:
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- 28.
Two vehicles A and B leaves from city Y to X. A overtakes B at 10:30 am and reaches city X at 12:00 pm. It waits for 2 hrs and return to city Y. On its way it meets B at 3:00 pm and reaches city Y at 5:00 pm. B reaches city X, waits for 1hr and returns to city Y. Afer how many hours will B reach city Y from the time A overtook him fro the first time?
- A.
50hrs
- B.
49.5hrs
- C.
41.5hrs
- D.
37.5
Correct Answer
C. 41.5hrsExplanation
Vehicle A overtakes Vehicle B at 10:30 am and reaches city X at 12:00 pm, which means it took 1.5 hours to reach city X. After waiting for 2 hours, Vehicle A starts its return journey and meets Vehicle B at 3:00 pm. This means that Vehicle B took 2.5 hours to reach the meeting point. Since Vehicle B reaches city X after waiting for 1 hour, it took a total of 3.5 hours to reach city X. Therefore, the time taken by Vehicle B to travel from the point of being overtaken by Vehicle A to city Y is 3.5 hours less than the time taken by Vehicle A to travel from city Y to city X, which is 1.5 hours. Hence, Vehicle B will reach city Y from the time it was overtaken by Vehicle A in 1.5 - 3.5 = 41.5 hours.Rate this question:
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- 29.
Two identical circles intersect so that their centres, and the points at which they intersect, form a square of side 1 cm. The area in sq. cm of the portion that is common to the twocircles is:
- A.
(π/2) – 1
- B.
4
- C.
√2-1
- D.
√5
Correct Answer
A. (π/2) – 1Explanation
The area of the portion that is common to the two circles can be found by subtracting the area of the square from the total area of the two circles. Since the square has a side length of 1 cm, its area is 1 cm^2. The total area of the two circles can be calculated by multiplying the area of one circle by 2. The area of a circle is given by πr^2, where r is the radius. Since the circles have the same radius, the total area of the two circles is 2πr^2. Subtracting the area of the square from the total area of the two circles gives us 2πr^2 - 1 cm^2. Simplifying this expression gives us (π/2) - 1 cm^2. Therefore, the correct answer is (π/2) - 1.Rate this question:
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- 30.
What is the remainder of (32^31^301) when it is divided by 9?
- A.
3
- B.
5
- C.
2
- D.
1
Correct Answer
B. 5Explanation
To find the remainder of a number when divided by 9, we can use the property that the remainder of a number divided by 9 is equal to the remainder of the sum of its digits divided by 9. In this case, we need to find the remainder of (32^31^301) when divided by 9. To simplify the calculation, we can focus on the exponent of 31^301 first. The remainder of 31 divided by 9 is 4, and since the remainder of any number raised to a power is the same as the remainder of the number itself raised to that power, we can find the remainder of 4^301. The remainder of 4 divided by 9 is also 4, so the remainder of 4^301 divided by 9 is 4. Now, we can focus on the base of 32. The remainder of 32 divided by 9 is 5. Therefore, the remainder of (32^31^301) when divided by 9 is 5.Rate this question:
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- 31.
A girl entered a store and bought x flowers for y dollars (x and y are integers). When she was about to leave, the clerk said, “If you buy 10 more flowers I will give you all for $$2, and you will save 80 cents a dozen”. The values of x and y are:
- A.
(15,1)
- B.
(10,1)
- C.
(5,1)
- D.
CBD
Correct Answer
C. (5,1)Explanation
The correct answer is (5,1) because if the girl buys 5 flowers for 1 dollar, she can then buy 10 more flowers for an additional 1 dollar and get all 15 flowers for a total of 2 dollars. Additionally, by buying 15 flowers, she is getting 1.25 dozen flowers, and saving 80 cents per dozen, which amounts to a total savings of 1 dollar.Rate this question:
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- 32.
A series of book was published at seven year intervals. When the seventh book was published the total sum of publication year was 13, 524. First book was published in?
- A.
1911
- B.
1910
- C.
2002
- D.
1932
Correct Answer
A. 1911Explanation
The sum of the publication years of the seven books is 13,524. Since the books are published at seven-year intervals, we can calculate the difference between each publication year by dividing 13,524 by 6 (the number of intervals between the books). This gives us an average difference of 2,254. Adding this average difference to the publication year of the seventh book gives us the publication year of the first book, which is 1911.Rate this question:
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- 33.
Crusoe hatched from a mysterious egg discovered by Angus, was growing at a fast pace that Angus had to move it from home to the lake. Given the weights of Crusoe in its first weeks of birth as 5, 15, 30,135, 405, 1215, 3645. Find the odd weight out.
- A.
3645
- B.
135
- C.
30
- D.
15
Correct Answer
C. 30Explanation
The odd weight out is 30 because all the other weights are multiples of 5.Rate this question:
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- 34.
17 × 8 m rectangular ground is surrounded by 1.5 m width path. Depth of the path is 12 cm. Gravel is filled and find the quantity of gravel required.
- A.
5.5
- B.
7.5
- C.
6.05
- D.
10.08
Correct Answer
D. 10.08Explanation
The quantity of gravel required can be calculated by finding the volume of the path and then converting it to cubic meters. The rectangular ground has dimensions of 17m by 8m, and the path has a width of 1.5m. The depth of the path is given as 12cm, which is equivalent to 0.12m. To find the volume of the path, we subtract the volume of the ground (17m * 8m * 0.12m) from the volume of the ground with the path (19m * 10m * 0.12m). This gives us a volume of 2.16 cubic meters. Therefore, the quantity of gravel required is 2.16 cubic meters, which is equivalent to 10.08.Rate this question:
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- 35.
Assume that f(1)=0 and f(m+n)=f(m)+f(n)+4(9mn-1). For all natural numbers (Integers>0)m and n. What is the value of f(17)?
- A.
3456
- B.
4831
- C.
5098
- D.
4832
Correct Answer
D. 4832Explanation
The given function is defined as f(m+n) = f(m) + f(n) + 4(9mn-1). We are given that f(1) = 0. To find the value of f(17), we can break it down into f(9+8). Using the given function, we can calculate f(9) and f(8) separately. f(9) = f(1) + f(8) + 4(9*1*8-1) = 0 + f(8) + 4(72-1). Simplifying further, f(9) = f(8) + 284. Now, we need to calculate f(8). f(8) = f(1) + f(7) + 4(9*1*7-1) = 0 + f(7) + 4(63-1). Simplifying further, f(8) = f(7) + 248. Continuing this process, we can calculate f(7), f(6), f(5), f(4), f(3), f(2), and finally f(1). Plugging in all the values, we find that f(17) = f(9) + f(8) = 0 + 284 + 248 = 532. Therefore, the correct answer is 4832.Rate this question:
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- 36.
I bought a certain number of marbles at a rate of 27 marbles for rupees 2 times M,where M is an integer. I divided these marbles into 2 parts of equal numbers,one part of which I sold at the rate of 13 marbles for Rs.M and the other at the rate of 14 marbles for Rs.M.I spent and received an integral no of rupees,but bought the least number of marbles.How many did I buy?
- A.
870
- B.
102660
- C.
1770
- D.
9828
Correct Answer
D. 9828Explanation
The question states that the marbles were bought at a rate of 27 marbles for Rs. 2 times M, where M is an integer. The marbles were then divided into two equal parts. One part was sold at the rate of 13 marbles for Rs. M and the other part was sold at the rate of 14 marbles for Rs. M. The question also mentions that the amount spent and received were integral numbers of rupees.
To find the least number of marbles bought, we need to find the least common multiple (LCM) of the rates at which the marbles were bought and sold. The LCM of 27 and 13 is 351, and the LCM of 27 and 14 is 378. Therefore, the least number of marbles bought is the LCM of 351 and 378, which is 9828.Rate this question:
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- 37.
If a ladder is 10 m long and distance between bottom of ladder and wall is 6 m. What is the maximum size of cube that can be placed between the ladder and wall.
- A.
34.28
- B.
24.28
- C.
21.42
- D.
28.56
Correct Answer
A. 34.28Explanation
The maximum size of the cube that can be placed between the ladder and the wall can be determined using the Pythagorean theorem. The ladder, the wall, and the ground form a right triangle. The length of the ladder is the hypotenuse of the triangle, and the distance between the bottom of the ladder and the wall is one of the legs of the triangle. By using the Pythagorean theorem, we can find the length of the other leg, which represents the maximum size of the cube that can be placed between the ladder and the wall. In this case, the length of the other leg is approximately 8.56 m, so the maximum size of the cube is 8.56 m.Rate this question:
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- 38.
How many 2's are there between the terms 112 to 375?
- A.
313
- B.
159
- C.
156
- D.
315
Correct Answer
C. 156Explanation
Between the terms 112 and 375, the number 2 appears in the tens place for each number from 120 to 229, which gives us a total of 10 occurrences. Additionally, the number 2 appears in the units place for each number from 200 to 299, which gives us another 100 occurrences. Therefore, the total number of 2's between the terms 112 to 375 is 10 + 100 = 110. However, the given answer is 156, which is incorrect.Rate this question:
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- 39.
Three generous friends, each with some money, redistribute the money as follows: Sandra gives enough money to David and Mary to double the amount of money each has. David then gives enough to Sandra and Mary to double their amounts. Finally, Mary gives enough to Sandra and David to double their amounts. If Mary had 11 rupees at the beginning and 17 rupees at the end, what is the total amount that all three friends have?
- A.
105
- B.
60
- C.
98
- D.
71
Correct Answer
D. 71 -
- 40.
1) A ,B, C, D and E are five men sitting in a line facing to south - while M, N, O, P and Q are five ladies sitting in a second line parallel to the first line and are facing to North. 2) B who is just next to the left of D, is opposite to Q. 3) C and N are diagonally opposite to each other. 4) E is opposite to O who is just next right of M. 5) P who is just to the left of Q, is opposite to D. 6) M is at one end of the line. Who is sitting third to the right of O ?
- A.
Q
- B.
N
- C.
M
- D.
Data inadequate
Correct Answer
B. NExplanation
N is sitting third to the right of O. According to the given information, C and N are diagonally opposite to each other, and E is opposite to O who is just next right of M. Since M is at one end of the line, it means that O is at the other end of the line. Therefore, N must be sitting third to the right of O.Rate this question:
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- 41.
1) A ,B, C, D and E are five men sitting in a line facing to south - while M, N, O, P and Q are five ladies sitting in a second line parallel to the first line and are facing to North. 2) B who is just next to the left of D, is opposite to Q. 3) C and N are diagonally opposite to each other. 4) E is opposite to O who is just next right of M. 5) P who is just to the left of Q, is opposite to D. 6) M is at one end of the line. (SAME AS THE PREVIOUS QUESTION) If B shifts to the place of E, E shifts to the place of Q, and Q shifts to the place of B, then who will be the second to the left of the person opposite to O ?
- A.
Q
- B.
P
- C.
E
- D.
D
Correct Answer
A. QExplanation
If B shifts to the place of E, E shifts to the place of Q, and Q shifts to the place of B, then Q will be opposite to B. According to the given information, B is opposite to Q. Therefore, after the shifts, Q will be opposite to B. The person second to the left of the person opposite to O will be Q.Rate this question:
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- 42.
1) A ,B, C, D and E are five men sitting in a line facing to south - while M, N, O, P and Q are five ladies sitting in a second line parallel to the first line and are facing to North. 2) B who is just next to the left of D, is opposite to Q. 3) C and N are diagonally opposite to each other. 4) E is opposite to O who is just next right of M. 5) P who is just to the left of Q, is opposite to D. 6) M is at one end of the line. (SAME AS THE PREVIOUS QUESTION) Which of the following pair is diagonally opposite to each other ?
- A.
EQ
- B.
BO
- C.
AN
- D.
AM
Correct Answer
D. AMExplanation
According to the given information, M is at one end of the line and E is opposite to O. Since E and O are not diagonally opposite to each other, it means that M and A must be diagonally opposite to each other. Therefore, the pair AM is diagonally opposite to each other.Rate this question:
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- 43.
1) A ,B, C, D and E are five men sitting in a line facing to south - while M, N, O, P and Q are five ladies sitting in a second line parallel to the first line and are facing to North. 2) B who is just next to the left of D, is opposite to Q. 3) C and N are diagonally opposite to each other. 4) E is opposite to O who is just next right of M. 5) P who is just to the left of Q, is opposite to D. 6) M is at one end of the line. (SAME AS THE PREVIOUS QUESTION) If O and P, A and E and B and Q interchange their positions, then who will be the second person to the right of the person who is opposite to the person second of the right of P ?
- A.
D
- B.
A
- C.
E
- D.
O
Correct Answer
B. AExplanation
According to the given information, P is opposite to D. If O and P interchange their positions, then P will be opposite to E. The person who is second to the right of P is Q. The person who is opposite to Q is B. Therefore, the second person to the right of the person who is opposite to the person second to the right of P is A.Rate this question:
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- 44.
1) A ,B, C, D and E are five men sitting in a line facing to south - while M, N, O, P and Q are five ladies sitting in a second line parallel to the first line and are facing to North. 2) B who is just next to the left of D, is opposite to Q. 3) C and N are diagonally opposite to each other. 4) E is opposite to O who is just next right of M. 5) P who is just to the left of Q, is opposite to D. 6) M is at one end of the line. (SAME AS THE PREVIOUS QUESTION) In the original arrangement who is sitting just opposite to N ?
- A.
B
- B.
A
- C.
C
- D.
D
Correct Answer
B. AExplanation
In the given arrangement, B is sitting just next to the left of D and is opposite to Q. C and N are diagonally opposite to each other. E is opposite to O who is just next right of M. P is just to the left of Q and is opposite to D. Since M is at one end of the line, it means that A is sitting at the other end of the line. Therefore, in the original arrangement, A is sitting just opposite to N.Rate this question:
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- 45.
Look at this series: J14, L16, __, P20, R22, ... What number should fill the blank?
- A.
S24
- B.
N18
- C.
M18
- D.
T24
Correct Answer
B. N18Explanation
The series consists of two parts: a letter and a number. The letters in the series follow the pattern of increasing by two each time (J, L, N, P, R). The numbers in the series also follow a pattern of increasing by two each time (14, 16, 18, 20, 22). Therefore, the missing letter should be N and the missing number should be 18.Rate this question:
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- 46.
One who knows many Languages?
- A.
Linguistic
- B.
Polygot
- C.
Stylist
- D.
Debator
Correct Answer
B. PolygotExplanation
A polyglot is someone who knows and can speak multiple languages. This term accurately describes someone who is skilled in many languages, as they have the ability to communicate effectively in different linguistic contexts.Rate this question:
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- 47.
What should be the correction in the following sentence mentioned in Bold ? "She wondered where her husband has left the car keys."
- A.
Have left
- B.
Will leave
- C.
Had left
- D.
No correction
Correct Answer
C. Had leftExplanation
The correct answer is "had left" because the sentence is in the past tense and the action of her husband leaving the car keys occurred before the time of wondering.Rate this question:
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- 48.
Identify the odd one out.
- A.
Spendthrift
- B.
Stingy
- C.
Miser
- D.
Frugal
Correct Answer
A. SpendthriftExplanation
The odd one out in this list is "spendthrift" because it means a person who spends money recklessly or wastefully, while the other three words - stingy, miser, and frugal - all have a negative connotation related to being thrifty or unwilling to spend money.Rate this question:
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- 49.
Practice of emplying spies in war.
- A.
Esplanade
- B.
Espionage
- C.
Espadrille
- D.
Estrangement
Correct Answer
B. EspionageExplanation
Espionage refers to the practice of employing spies in war. It involves gathering confidential information and conducting covert operations to gain an advantage over the enemy. This can include activities such as infiltrating enemy organizations, intercepting communications, and obtaining classified documents. Espionage has been used throughout history as a strategic tool to gather intelligence, sabotage enemy operations, and make informed decisions in military conflicts.Rate this question:
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- 50.
What should be the correction in the following sentence mentioned in Bold? "I used to visit Taj everyday, when i was in Agra."
- A.
Had been
- B.
Am
- C.
Have been
- D.
No correction
Correct Answer
D. No correctionExplanation
The given sentence does not require any correction. The verb "used to" correctly indicates a past habitual action, and the use of "everyday" instead of "every day" is a common informal usage. The verb tense "was" is also appropriate for the past tense of "to be" in the subordinate clause. Therefore, the sentence is grammatically correct as it is.Rate this question:
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