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IBM Placement Paper | Quantitative Analysis Set – 5

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This is an IBM model paper for Quantitative Aptitude. This placement paper will cover aptitude that is asked in IBM placements and also strictly follows the pattern of questions asked in IBM papers. It is recommended to solve each one of the following questions to increase your chances of clearing the IBM placement.

  1. The product of two numbers is 108 and the sum of their squares is 225. The difference of the number is: .
    1. 5
    2. 4
    3. 3
    4. None of these
  2. Which of the following has the most number of divisors?
    1. 99
    2. 101
    3. 176
    4. 182
  3. Ratio of two numbers is 3:2. If LCM of numbers is 60, then smaller number is?
    1. 20
    2. 30
    3. 40
    4. 50
  4. 6 men and 10 women were employed to make a road 360 km long. They were able to make 150 kilometres of road in 15 days by working 6 hours a day. After 15 days, two more men were employed and four women were removed. Also, the working hours were increased to 7 hours a day. If the daily working power of 2 men and 3 women are equal, find the total number of days required to complete the work.
    1. 19
    2. 35
    3. 34
    4. 50
  5. Two pipes A and B can fill a tank in 10 hours and 30 hours respectively. Due to a leak in the tank, it takes 2.5 hours more to fill the tank. How much time would the leak alone will take to empty the tank ?
    1. 20 hours
    2. 25 hours
    3. 30 hours
    4. 35 hours
  6. Max completes his journey at an average speed of 9 km/h. He covers the first 9 km at a speed of 6 km/h and he takes 1·5 hours to cover the remaining distance. Find out the speed at which he covered the remaining distance.
    1. 11 km/h
    2. 12 km/h
    3. 13 km/h
    4. 14 km/h
  7. A train crosses a pole in 10 sec. If the length of train is 100 meters, what is the speed of the train in Kmph?
    1. 34
    2. 36
    3. 30
    4. 32
  8. Jack and Robert appeared in an examination. Robert scored 9 marks less than Jack. Jack’s score was 56% of the sum of their scores added together. Calculate their individual scores.
    1. 22 and 33
    2. 41 and 35
    3. 40 and 35
    4. 42 and 33
  9. In a library, the ratio of the books on Computer, Physics and Mathematics is 5:7:8. If the collection of books is increased respectively by 40%, 50% and 75%, find out the new ratio:
    1. 3:9:5
    2. 7:5:3
    3. 2:3:4
    4. 2:5:4
  10. A person’s present age is one-third of the age of his mother. After 12 years, his age will be one half of the age of his mother. What is the present age of his mother?
    1. 30
    2. 34
    3. 38
    4. 36
  11. The average of 21 results is 20. Average of 1st 10 of them is 24 that of last 10 is 14. the result of 11’th is :.
    1. 42
    2. 44
    3. 46
    4. 40
  12. A perfect number n is a number which is equal to the sum of its divisors. Which of the following is a perfect number?
    1. 6
    2. 9
    3. 15
    4. 21
  13. Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 240. Their H.C.F. is:
    1. 40
    2. 20
    3. 30
    4. 10
  14. A stadium was to be built in 1500 days. The contractor employed 200 men, 300 women and 750 robotic machines. After 600 days, 75% of the work was still to be done. Fearing delay, the contractor removed all women and 500 robotic machines. Also, he employed some more men having the same efficiency as earlier employed men. This led to a speedup in work and the stadium got built 50 days in advance. Find the additional number of men employed if in one day, six men, ten women and fifteen robotic machines have same work output.
    1. 1100
    2. 1340
    3. 1300
    4. 1140
  15. Two pipes A and B work alternatively with a third pipe C to fill a swimming pool. Working alone, A, B and C require 10, 20 and 15 hours respectively. Find the total time required to fill the pool.
    1. 7 hours 14 minutes
    2. 6 hours 54 minutes
    3. 5 hours 14 minutes
    4. 8 hours 54 minutes
  16. Peter and Beckon start to walk in the same direction together. If Peter’s speed is 5 km/h and Beckon’s speed is 6 km/h, find out the time duration after which they are 17 km apart.
    1. 15
    2. 17
    3. 19
    4. 20
  17. A train is running at a speed of 100Kmph. A car is running on road parallel to the train’s track at a speed of 20 Kmph in the same direction as of train. How much time will it take to cross the car if the length of the train is 100 meters?
    1. 5 sec
    2. 4 sec
    3. 5.5 sec
    4. 4.5 sec
  18. Ram spends 20% of is salary on food, 15 % of remaining on cloths, and 400 on entertainment. If his salary is 10000, how much he spends on food?
    1. 2000
    2. 3000
    3. 1500
    4. 2500

Last Updated : 11 Jan, 2023
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