Mckvie - 23-24 April 2018- Pre-training Assessment - 1

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  • 1/87 Questions

    A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?

    • Rs 1090
    • Rs 1160
    • Rs 1190
    • Rs 1202
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About This Quiz

Dear Candidates ,
Greetings from SKSPL !
The Assessment is of 100 Minutes and is aimed to access a candidates ability in -
1. General Aptitude and Reasoning
2. Verbal Ability
3. Proficiency in English as a Professional Language
4. Computer Programming Fundamentals. ( For all branches )
There is no negative marking.
Best Wishes
Regards,
Team SKSPL

Mckvie - 23-24 April 2018- Pre-training Assessment - 1 - Quiz

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  • 2. 

    Select the lettered pair that has the same relationship as Illiterate : Uneducated

    • Country : State

    • City : Village

    • Palace : Hut

    • Vision : Sight

    Correct Answer
    A. Vision : Sight
    Explanation
    The correct answer is "Vision : Sight" because just like illiteracy is the state of being uneducated, vision is the state of having sight. Both pairs have a similar relationship where one term represents a state or condition and the other term represents the characteristic or ability associated with that state.

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  • 3. 

    A memory chip has 8 data lines and 9 address lines. How many bytes can be stored on it?

    • 511

    • 512

    • 500

    • 516

    Correct Answer
    A. 512
    Explanation
    A memory chip with 8 data lines can store 2^8 = 256 different combinations of data. Similarly, a memory chip with 9 address lines can address 2^9 = 512 different locations. Since each location can store one byte of data, the memory chip can store a total of 512 bytes.

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  • 4. 

    Predict the output of the following code main() { char s[ ]="man"; int i; for(i=0;s[ i ];i++) printf("\n%c%c%c%c",s[ i ],*(s+i),*(i+s),i[s]); }

    • Mmm

    • Mmmm aaaa nnnn

    • Mmmmm

    • Mmmmmm

    Correct Answer
    A. Mmmm aaaa nnnn
    Explanation
    The code snippet declares a character array `s` with the value "man". It then uses a for loop to iterate through each character of the array. Inside the loop, it uses the `printf` function to print the characters in a specific pattern. The pattern is "%c%c%c%c", where the first `%c` represents the current character `s[i]`, the second `%c` represents the character at the memory location `s+i`, the third `%c` represents the character at the memory location `i+s`, and the fourth `%c` represents the character at the memory location `i[s]`. Since the value of `i` changes in each iteration, the output will be a series of characters based on this pattern. The correct answer "mmmm aaaa nnnn" matches the output of the code.

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  • 5. 

    The present ages of three persons in proportions 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).

    • 8 , 20 , 28

    • 16 , 28 , 36

    • 20 , 35 , 45

    • None of These

    Correct Answer
    A. 16 , 28 , 36
    Explanation
    The present ages of the three persons are in the ratio 4:7:9. Let's assume the ages of the three persons to be 4x, 7x, and 9x respectively.

    Eight years ago, their ages would have been (4x-8), (7x-8), and (9x-8) respectively.

    According to the given information, the sum of their ages eight years ago was 56.

    So, (4x-8) + (7x-8) + (9x-8) = 56.

    Simplifying the equation, we get 20x = 80.

    Dividing both sides by 20, we find x = 4.

    Therefore, the present ages of the three persons are 4x = 16, 7x = 28, and 9x = 36 respectively.

    Hence, the correct answer is 16, 28, 36.

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  • 6. 

    The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:

    • 1677

    • 1683

    • 2523

    • 3363

    Correct Answer
    A. 1683
    Explanation
    To find the least number that satisfies the given conditions, we need to find the least common multiple (LCM) of 5, 6, 7, and 8. The LCM of these numbers is 840. Adding 3 to this number will give us the desired number that leaves a remainder of 3 when divided by 5, 6, 7, and 8. Therefore, the correct answer is 840 + 3 = 843. However, this number does not leave a remainder of 0 when divided by 9. The next multiple of 840 is 1680, which also does not satisfy the condition. The next multiple, 2520, also does not work. Finally, the next multiple, 3360, satisfies the condition as it leaves a remainder of 3 when divided by 5, 6, 7, and 8, and leaves no remainder when divided by 9. Hence, the correct answer is 3360 + 3 = 3363.

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  • 7. 

    If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

    • 2:05

    • 3:07

    • 5:03

    • 7:03

    Correct Answer
    A. 5:03
    Explanation
    The ratio of the first number to the second number is 5:03. This can be determined by setting up an equation based on the given information. Let's assume the first number is x and the second number is y. We are told that 40% of x is equal to two-thirds of y. Mathematically, this can be written as 0.4x = (2/3)y. To find the ratio, we can simplify this equation by multiplying both sides by 10/4, resulting in x = (5/3)y. Therefore, the ratio of the first number to the second number is 5:03.

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  • 8. 

    "In this passage, the phrase ""God in man"" implies  

    • God having assumed the shape of man

    • Neither fully godly nor fully human

    • Man being transformed into God

    • The divine qualities in man

    Correct Answer
    A. The divine qualities in man
    Explanation
    The phrase "God in man" implies that there are divine qualities present in man. This suggests that humans have the potential to possess and exhibit godly characteristics or qualities. It does not necessarily mean that God has assumed the shape of man or that man has been transformed into God.

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  • 9. 

    According to the author, ""salvation"" of human beings lies in the  

    • Extended trade relations

    • Spiritual transformation of life

    • Orgy of national pride

    • Wholehearted participated in political organisations

    Correct Answer
    A. Spiritual transformation of life
    Explanation
    The author believes that the "salvation" of human beings lies in the spiritual transformation of life. This suggests that the author believes that true fulfillment and happiness can be achieved through a deep inner change and connection with something greater than oneself. This is in contrast to the other options, which focus on external factors such as trade relations, national pride, and political participation.

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  • 10. 

    What is the sum of two consecutive even numbers, the difference of whose squares is 84?

    • 34

    • 38

    • 42

    • 46

    Correct Answer
    A. 42
    Explanation
    Let's assume the two consecutive even numbers as x and x+2. The difference of their squares can be written as (x+2)^2 - x^2 = 84. Expanding this equation, we get x^2 + 4x + 4 - x^2 = 84. Simplifying further, we get 4x + 4 = 84. Subtracting 4 from both sides, we get 4x = 80. Dividing both sides by 4, we get x = 20. Therefore, the sum of the two consecutive even numbers is 20 + (20+2) = 42.

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  • 11. 

    Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

    • 648

    • 1800

    • 2700

    • 10800

    Correct Answer
    A. 1800
    Explanation
    If 6 identical machines can produce 270 bottles per minute, then each machine can produce 270/6 = 45 bottles per minute. Therefore, in 4 minutes, each machine can produce 45 x 4 = 180 bottles. Since there are 10 machines, the total number of bottles produced in 4 minutes by 10 machines is 180 x 10 = 1800 bottles.

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  • 12. 

    Three numbers are in the ratio 3:4:5. The sum of their squares is Rs 1250. What is the sum of numbers?

    • 40

    • 50

    • 60

    • 90

    Correct Answer
    A. 60
    Explanation
    The sum of the squares of the three numbers can be represented as (3x)^2 + (4x)^2 + (5x)^2 = 1250, where x is the common ratio. Simplifying the equation, we get 9x^2 + 16x^2 + 25x^2 = 1250. Combining like terms, we have 50x^2 = 1250. Dividing both sides by 50, we find that x^2 = 25. Taking the square root of both sides, we get x = 5. Therefore, the three numbers are 15, 20, and 25. The sum of these numbers is 15 + 20 + 25 = 60.

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  • 13. 

    In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?

    • 6.25

    • 6.5

    • 6.75

    • 10

    Correct Answer
    A. 6.25
    Explanation
    To find the required run rate for the remaining 40 overs, we need to calculate the total runs required in those overs. Since the first 10 overs had a run rate of 3.2, the total runs scored in those overs would be 10 * 3.2 = 32. Therefore, the remaining runs required to reach the target of 282 would be 282 - 32 = 250. To calculate the run rate, we divide the remaining runs by the number of overs, which gives us 250 / 40 = 6.25. Therefore, the required run rate in the remaining 40 overs to reach the target is 6.25.

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  • 14. 

    Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?

    • 57%

    • 60%

    • 65%

    • 90%

    Correct Answer
    A. 57%
    Explanation
    The winning candidate received 11628 votes out of a total of (1136+7636+11628) = 20400 votes. To find the percentage, we divide the winning candidate's votes by the total votes and multiply by 100. So, the winning candidate received (11628/20400) * 100 = 57% of the total votes.

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  • 15. 

    Blueberries cost more than strawberries. Blueberries cost less than raspberries. Raspberries cost more than strawberries and blueberries. If the first two statements are true, the third statement is

    • 1

    • UNCERTAIN

    Correct Answer
    A. 1
    Explanation
    The third statement is true. This can be deduced by comparing the statements. Since blueberries cost more than strawberries and raspberries cost more than blueberries, it can be concluded that raspberries cost more than strawberries and blueberries.

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  • 16. 

    "The author uses the expression 'ugly deformities' to show his indignation at  

    • political organisations

    • The liberation of human consciousness

    • Selfishness and materialism of the people

    • The drunken orgies of power

    Correct Answer
    A. Selfishness and materialism of the people
    Explanation
    The author's use of the expression "ugly deformities" suggests that they are expressing strong disapproval or anger towards something. Out of the given options, the expression is most likely used to show the author's indignation at the selfishness and materialism of the people. This implies that the author finds these traits to be morally repugnant and believes that they are negatively impacting society.

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  • 17. 

    A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1000 more than D, what is B's share?

    • Rs 500

    • Rs 1500

    • Rs 2000

    • None of These

    Correct Answer
    A. Rs 2000
    Explanation
    Since the money is distributed in the proportion of 5:2:4:3, we can assume that the total amount is 14x (where x is a constant). Therefore, A's share is 5x, B's share is 2x, C's share is 4x, and D's share is 3x.

    Given that C gets Rs. 1000 more than D, we can write the equation 4x = 3x + 1000. Solving this equation, we find that x = 1000.

    Therefore, B's share is 2x = 2 * 1000 = Rs. 2000.

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  • 18. 

    Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

    • 4

    • 7

    • 9

    • 13

    Correct Answer
    A. 4
    Explanation
    The greatest number that will divide all three given numbers and leave the same remainder in each case is the highest common factor (HCF) of the numbers. In this case, the HCF of 43, 91, and 183 is 4. This means that 4 is the largest number that can evenly divide all three numbers and leave the same remainder.

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  • 19. 

    In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of:

    • RS 3100

    • Rs 6240

    • Rs 6500

    • Rs 9600

    Correct Answer
    A. Rs 6240
    Explanation
    To obtain an income of Rs. 650 from a 10% stock at Rs. 96, we can use the formula: Investment = (Income / Rate) * 100. Plugging in the given values, we get Investment = (650 / 10) * 100 = Rs. 6500. However, this is the total investment required. To find the initial investment, we need to subtract the income from the total investment. Therefore, the initial investment required is Rs. 6500 - Rs. 650 = Rs. 6240.

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  • 20. 

    The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

    • 9000

    • 9400

    • 9600

    • 9800

    Correct Answer
    A. 9600
    Explanation
    To find the greatest number of four digits that is divisible by 15, 25, 40, and 75, we need to find the least common multiple (LCM) of these numbers. The LCM of 15, 25, 40, and 75 is 600. To find the greatest four-digit number divisible by 600, we divide 9999 by 600 and find that the quotient is 16. Therefore, the greatest number of four digits divisible by 15, 25, 40, and 75 is 600 multiplied by 16, which is 9600.

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  • 21. 

    How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

    • 40

    • 400

    • 5040

    • 2520

    Correct Answer
    A. 5040
    Explanation
    The word 'LOGARITHMS' has 10 letters. We need to form 4-letter words without repetition. The number of ways to select the first letter is 10. After selecting the first letter, we have 9 letters left to choose from for the second letter. Similarly, we have 8 choices for the third letter and 7 choices for the fourth letter. Therefore, the total number of 4-letter words without repetition is 10 * 9 * 8 * 7 = 5040.

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  • 22. 

    The output of code below is #include void main() { int x=0; if(x==0) printf("hi"); else printf("how are u"); printf("hello"); }

    • Hi

    • How are you

    • Hello

    • Hihello

    Correct Answer
    A. Hihello
    Explanation
    The code starts by initializing the variable x to 0. Then, it checks if x is equal to 0. Since x is indeed equal to 0, the condition is true and the code inside the if statement is executed. The printf statement inside the if statement prints "hi". After that, the code continues to execute the printf statement outside the if statement, which prints "hello". Therefore, the output of the code is "hihello".

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  • 23. 

    Which of the following does POP stand for?

    • Post Office Protocol

    • Peer over peer

    • Private Office Protocol

    • Post Optical Protocol

    Correct Answer
    A. Post Office Protocol
    Explanation
    POP stands for Post Office Protocol. It is a protocol used for retrieving email from a mail server. It allows users to download their email messages to their local devices, such as computers or mobile devices, and read them offline. The other options, Peer over peer, Private Office Protocol, and Post Optical Protocol, are not correct explanations for the acronym POP.

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  • 24. 

    . Even if rains all day I will not be able to .........................my journey

    • Put by

    • put out

    • Put off

    • put away

    Correct Answer
    A. Put off
    Explanation
    The correct answer is "put off." This means that even if it rains all day, the person will not be able to postpone or delay their journey.

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  • 25. 

    What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?

    • 1

    • 14

    • 20

    • 21

    Correct Answer
    A. 20
    Explanation
    20% of the numbers from 1 to 70 have 1 or 9 in the unit's digit. To find this percentage, we need to count the numbers from 1 to 70 that have 1 or 9 in the unit's digit and divide it by the total number of numbers from 1 to 70. The numbers with 1 or 9 in the unit's digit are 1, 9, 11, 19, 21, 29, ..., 61, 69. There are 7 numbers with 1 or 9 in the unit's digit. So, the percentage is 7/70 = 0.1 or 10%. However, the question asks for the percentage of numbers with 1 or 9 in the unit's digit, so we need to double this percentage since there are two digits (1 and 9) that satisfy the condition. Therefore, the correct answer is 20%.

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  • 26. 

    A father said to his son, "I was as old as you are at the present at the time of your birth". If the father's age is 38 years now, the son's age five years back was:

    • 14 Years

    • 19 Years

    • 33 years

    • 38 Years

    Correct Answer
    A. 14 Years
    Explanation
    The father's age at the time of the son's birth was 38 years. Since the father stated that he was as old as the son is now at the time of the son's birth, it means that the son's current age is 38 years. Therefore, five years back, the son's age would have been 38 - 5 = 33 years.

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  • 27. 

    The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:

    • 380

    • 395

    • 400

    • 425

    Correct Answer
    A. 400
    Explanation
    Let's assume the two numbers are x and y. We are given that the product of the two numbers is 9375, so we have xy = 9375. We are also given that the quotient when the larger number is divided by the smaller number is 15, so we have x/y = 15. From these two equations, we can solve for x and y. By substituting y = 9375/x into the second equation, we get x/(9375/x) = 15. Simplifying this equation, we get x^2 = 9375*15 = 140625. Taking the square root of both sides, we get x = 375. Substituting this value back into the equation xy = 9375, we get 375y = 9375, so y = 25. The sum of the numbers is x + y = 375 + 25 = 400. Therefore, the correct answer is 400.

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  • 28. 

    Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?

    • 10

    • 12

    • 15

    • 20

    Correct Answer
    A. 12
    Explanation
    The two trains are crossing each other in opposite directions, so their relative speed is the sum of their individual speeds. Since the lengths of the trains are equal, the total distance they need to cross each other is 2 times the length of one train.

    Let's calculate the speed of each train first. The speed of the first train is 120 meters divided by 10 seconds, which is 12 m/s. The speed of the second train is 120 meters divided by 15 seconds, which is 8 m/s.

    To find the time it takes for the trains to cross each other, we need to divide the total distance they need to cross (2 times the length of one train) by their relative speed.

    The total distance is 2 times 120 meters, which is 240 meters.

    The relative speed is 12 m/s plus 8 m/s, which is 20 m/s.

    Dividing the total distance by the relative speed, we get 240 meters divided by 20 m/s, which is 12 seconds.

    Therefore, the two trains will cross each other in 12 seconds.

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  • 29. 

    A flagstaff 17.5 m high casts a shadow of length 40.25 m. The height of the building, which casts a shadow of length 28.75 m under similar conditions will be:

    • 10 m

    • 12.5 m

    • 17.5 m

    • 21.25 m

    Correct Answer
    A. 12.5 m
    Explanation
    The flagstaff and the building are similar triangles since they are both casting shadows under similar conditions. The ratio of the height of the flagstaff to its shadow is the same as the ratio of the height of the building to its shadow. Therefore, we can set up a proportion: (17.5 m / 40.25 m) = (x / 28.75 m). Solving for x, we find that x is approximately 12.5 m. Therefore, the height of the building is 12.5 m.

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  • 30. 

    The least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled is:

    • 3

    • 4

    • 5

    • 6

    Correct Answer
    A. 4
    Explanation
    To calculate the least number of complete years in which a sum of money put out at 20% compound interest will be more than doubled, we need to find the number of years it takes for the amount to reach or exceed twice the initial sum. Since the interest is compounded annually, the amount will double after 5 years (20% interest compounded annually for 5 years will result in a doubling of the initial sum). However, the question asks for the least number of complete years, so the correct answer is 4.

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  • 31. 

    A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train?

    • 230 M

    • 240 M

    • 260 M

    • 270 M

    Correct Answer
    A. 270 M
    Explanation
    The train crosses a 250 m long platform in 26 seconds. This means that the train covers a distance equal to its own length plus the length of the platform in 26 seconds. Since the length of the platform is given as 250 m, the train must have covered a distance of 250 m + its own length in 26 seconds. We can set up the equation 250 + length = speed × time, where the speed is given as 72 kmph and the time is given as 26 seconds. By solving this equation, we can find the length of the train, which is 270 m.

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  • 32. 

    In a certain store, the profit is 320% of the cost. If the cost increases by 25% but the selling price remains constant, approximately what percentage of the selling price is the profit?

    • 30%

    • 70%

    • 100%

    • 250%

    Correct Answer
    A. 70%
    Explanation
    When the cost increases by 25%, the new cost becomes 125% of the original cost. Since the selling price remains constant, the profit is still 320% of the original cost. To find the percentage of the selling price that is the profit, we can divide the profit by the selling price.

    Let's assume the selling price is 100. The original cost would then be 100/4.2 = 23.81 (approximately). After the cost increases by 25%, the new cost becomes 23.81 * 1.25 = 29.76 (approximately). The profit is still 23.81 * 3.2 = 76.19 (approximately).

    Therefore, the percentage of the selling price that is the profit is 76.19/100 * 100 = 76.19% (approximately), which is closest to 70%.

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  • 33. 

    A man has Rs. 480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ?

    • 45

    • 60

    • 75

    • 90

    Correct Answer
    A. 90
    Explanation
    The man has an equal number of one-rupee notes, five-rupee notes, and ten-rupee notes. Let's assume that he has x number of each denomination. Therefore, the total value of the one-rupee notes is x, the total value of the five-rupee notes is 5x, and the total value of the ten-rupee notes is 10x. The sum of these values should equal Rs. 480. So, x + 5x + 10x = 480. Simplifying this equation, we get 16x = 480, which means x = 30. Since he has an equal number of each denomination, the total number of notes he has is 30 + 30 + 30 = 90.

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  • 34. 

    In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

    • 266

    • 5040

    • 11760

    • 86400

    • None of these

    Correct Answer
    A. 11760
    Explanation
    The question asks how many ways a committee can be formed from a group of 8 men and 10 women. Since the committee consists of 5 men and 6 women, we need to choose 5 men from the 8 available and 6 women from the 10 available. The number of ways to choose k items from a set of n items is given by the combination formula nCk = n! / (k!(n-k)!). Therefore, the number of ways to form the committee is 8C5 * 10C6 = (8! / (5!(8-5)!)) * (10! / (6!(10-6)!)) = 56 * 210 = 11,760.

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  • 35. 

    Predict the output of the following code : main() { int x=5,*p=&x; printf("%d",++(*p)); }

    • 4

    • 5

    • 6

    • 7

    Correct Answer
    A. 6
    Explanation
    The code declares an integer variable x and a pointer variable p, which points to the address of x. The printf statement uses the prefix increment operator to increment the value stored at the address pointed to by p, which is x. Therefore, the value of x is incremented by 1 before being printed. The output will be 6.

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  • 36. 

    A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :

    • 4 DAYS

    • 6 DAYS

    • 8 DAYS

    • 18 DAYS

    Correct Answer
    A. 4 DAYS
    Explanation
    Since A works twice as fast as B, it means that A can complete the work in half the time it takes B. If B can complete the work in 12 days, then A can complete it in 6 days. Therefore, if A and B work together, their combined speed is the sum of their individual speeds, which means they can finish the work in 4 days.

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  • 37. 

    Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

    • Rs 169.50

    • RS 170

    • Rs175.50

    • Rs 180

    Correct Answer
    A. Rs175.50
    Explanation
    Let the price of the third variety be Rs. x per kg. Since the ratio of the first variety to the second variety to the third variety is 1:1:2, we can set up the following equation: (126 + 135 + 2x)/4 = 153. Solving this equation, we get 261 + 2x = 612. Simplifying further, we find that 2x = 351. Dividing both sides by 2, we get x = 175.50. Therefore, the price of the third variety per kg is Rs. 175.50.

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  • 38. 

    The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

    • 3

    • 4

    • 9

    • Cannot be determined

    Correct Answer
    A. 4
    Explanation
    The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. This means that the original number is greater than the number obtained by interchanging its digits. Let's assume the original number is AB, where A is the tens digit and B is the units digit. The number obtained by interchanging the digits is BA. The difference between these two numbers is (10A + B) - (10B + A) = 9A - 9B = 36. Simplifying this equation, we get A - B = 4. Therefore, the difference between the two digits is 4.

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  • 39. 

    Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

    • 1:03

    • 3 : 2

    • 3:04

    • None of these

    Correct Answer
    A. 3 : 2
    Explanation
    The ratio of the speeds of the two trains can be determined by comparing the time taken for them to cross the man on the platform. Since the trains are running in opposite directions, their combined speed is the sum of their individual speeds. Therefore, the ratio of their speeds is equal to the inverse ratio of the time taken to cross the man. In this case, the first train takes 27 seconds to cross the man and the second train takes 17 seconds. So, the ratio of their speeds is 17:27, which simplifies to 3:2.

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  • 40. 

    One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ?

    • Rs 30000

    • RS 50000

    • Rs 60000

    • Rs 90000

    Correct Answer
    A. Rs 60000
    Explanation
    Let's assume Rahul's savings in National Savings Certificate is x. According to the given information, one-third of x is equal to one-half of his savings in Public Provident Fund. So, (1/3)x = (1/2)(150000 - x). Solving this equation, we get x = 60000. Therefore, Rahul has saved Rs 60000 in Public Provident Fund.

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  • 41. 

    Which of the following has the most number of divisors?

    • 99

    • 101

    • 176

    • 182

    Correct Answer
    A. 176
    Explanation
    176 has the most number of divisors compared to the other given numbers. The number 176 can be divided evenly by 1, 2, 4, 8, 11, 16, 22, 44, 88, and 176, totaling 10 divisors. In contrast, the other numbers have fewer divisors. 99 has 6 divisors (1, 3, 9, 11, 33, 99), 101 has 2 divisors (1, 101), and 182 has 8 divisors (1, 2, 7, 13, 14, 26, 91, 182). Therefore, 176 has the most number of divisors.

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  • 42. 

    A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long?

    • 40 SEC

    • 42 SEC

    • 45 SEC

    • 48 SEC

    Correct Answer
    A. 40 SEC
    Explanation
    The train is 360 m long and is running at a speed of 45 km/hr. To pass a bridge that is 140 m long, the train needs to cover a total distance of 360 m + 140 m = 500 m. The speed of the train is given in km/hr, so it needs to be converted to m/s by dividing it by 3.6. Therefore, the speed of the train is 45 km/hr ÷ 3.6 = 12.5 m/s. To find the time it takes for the train to pass the bridge, we divide the total distance by the speed: 500 m ÷ 12.5 m/s = 40 sec.

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  • 43. 

    The speed of a boat in still water in 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is:

    • 1.2 KM

    • 1.8 KM

    • 2.4 KM

    • 3.6 KM

    Correct Answer
    A. 3.6 KM
    Explanation
    The speed of the boat in still water is given as 15 km/hr and the rate of the current is 3 km/hr. When the boat is moving downstream, the speed of the boat relative to the ground is the sum of the speed of the boat in still water and the rate of the current, which is 15 km/hr + 3 km/hr = 18 km/hr.

    To find the distance traveled downstream in 12 minutes, we need to convert the time to hours. There are 60 minutes in an hour, so 12 minutes is equal to 12/60 = 0.2 hours.

    The distance traveled downstream is given by the formula: distance = speed x time. Plugging in the values, we get: distance = 18 km/hr x 0.2 hr = 3.6 km.

    Therefore, the distance traveled downstream in 12 minutes is 3.6 km.

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  • 44. 

    Salaries of Ravi and Sumit are in the ratio 2 : 3. If the salary of each is increased by Rs. 4000, the new ratio becomes 40 : 57. What is Sumit's salary?

    • Rs 17000

    • Rs 20000

    • Rs 25500

    • Rs 38000

    Correct Answer
    A. Rs 38000
    Explanation
    The given information states that the ratio of Ravi's salary to Sumit's salary is 2:3. This means that if Ravi's salary is represented by 2x, then Sumit's salary would be 3x.

    The question also states that when both of their salaries are increased by Rs. 4000, the new ratio becomes 40:57. This means that the new salaries would be 2x + 4000 and 3x + 4000 respectively.

    To find the value of x, we can set up the equation (2x + 4000)/(3x + 4000) = 40/57. Solving this equation gives x = 7000.

    Therefore, Sumit's salary (3x) would be 3 * 7000 = Rs. 21000.

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  • 45. 

    4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?

    • 4

    • 8

    • 12

    • 16

    Correct Answer
    A. 16
    Explanation
    If 4 mat-weavers can weave 4 mats in 4 days, it means that each mat-weaver can weave 1 mat in 4 days. Therefore, if there are 8 mat-weavers, they can weave 8 mats in 4 days. Since the rate of weaving is the same, in 8 days, they would be able to weave double the number of mats, which is 16.

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  • 46. 

    Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:

    • 75

    • 81

    • 85

    • 89

    Correct Answer
    A. 85
    Explanation
    The sum of three numbers can be found by dividing the product of the first two numbers and the product of the last two numbers by the common factor. In this case, the common factor is 1 because the numbers are co-prime. Therefore, the sum of the three numbers is (551/1) + (1073/1) = 551 + 1073 = 1624.

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  • 47. 

    Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is:

    • 16 HRS

    • 18 HRS

    • 20 HRS

    • 24 HRS

    Correct Answer
    A. 24 HRS
    Explanation
    The speed of the boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. When the boat is rowing upstream against the stream, its effective speed is reduced by the speed of the stream, so the speed is 9 - 1.5 = 7.5 kmph. When the boat is rowing downstream with the stream, its effective speed is increased by the speed of the stream, so the speed is 9 + 1.5 = 10.5 kmph. The total distance traveled by the man is 105 km, so the total time taken is 105 / (7.5 + 10.5) = 105 / 18 = 5.83 hours. Since the man also has to row back to the starting point, the total time taken is 5.83 hours x 2 = 11.67 hours, which is approximately 12 hours. Therefore, the correct answer is 24 hours.

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  • 48. 

    The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is:

    • 4.37%

    • 5%

    • 6%

    • 8.75%

    Correct Answer
    A. 5%
    Explanation
    To find the average percent increase of the population per year, we need to calculate the total percent increase over the decade and then divide it by 10. The initial population is 1,75,000 and the final population is 2,62,500. The total increase in population is 2,62,500 - 1,75,000 = 87,500. To find the percent increase, we divide the total increase by the initial population: 87,500 / 1,75,000 = 0.5. Finally, we divide the percent increase by 10 to get the average percent increase per year: 0.5 / 10 = 0.05 or 5%.

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  • 49. 

    The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:

    • 12

    • 16

    • 24

    • 48

    Correct Answer
    A. 48
    Explanation
    The ratio of the two numbers is 3:4, which means that one number is 3x and the other number is 4x, where x is a common factor. The highest common factor (H.C.F) of the two numbers is 4, which means that 4 is a common factor of both numbers. The least common multiple (L.C.M) is the smallest number that is divisible by both numbers. Since the H.C.F is 4, the L.C.M must be a multiple of 4. The only option that is a multiple of 4 is 48. Therefore, the L.C.M of the two numbers is 48.

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  • Mar 21, 2023
    Quiz Edited by
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  • Apr 22, 2018
    Quiz Created by
    Nchaudhuri31
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