Saint-Gobain – Aptitude Questions & Answers for Placement Tests

Reviewing Previous Year Questions is a good start. Prepare Aptitude thoroughly to Clear Placement Tests with 100% Confidence.

Q.1 The ratio of milk and water in a mixture is 7:5. If 15 litres of water is added to the mixture, the ratio of milk and water becomes 7:8. What is the initial quantity of milk in the mixture?
Check Solution

Ans: B

Let the initial quantity of milk be 7x and water be 5x. After adding 15 litres of water, the new ratio is 7:8. So, 7x / (5x + 15) = 7/8 Cross-multiplying, 56x = 35x + 105 21x = 105 x = 5 Initial quantity of milk = 7x = 7 * 5 = 35 litres.

Q.2 C is 5/2 times as efficient as D. If D can complete 2/7th of a project in 8 days, what fraction of the same project would be completed if C works on it independently for 14 days only?
Check Solution

Ans: C

First, find D’s work rate: D completes 2/7 in 8 days, so D completes (2/7)/8 = 1/28 of the project per day. C is 5/2 times as efficient as D, so C completes (5/2) * (1/28) = 5/56 of the project per day. In 14 days, C completes 14 * (5/56) = 5/4 of the project. Since the project is represented as a whole which is 1, and C completes 5/4, therefore C can complete the project.

Q.3 In a library, the average number of books borrowed per day is 150. The library is closed for 2 days a week. The average number of books borrowed on the days the library is open is 180. If the library is open for 5 days a week, what is the total number of books borrowed in a 4-week period?
Check Solution

Ans: C

Total books borrowed per week = 150 * 7 = 1050. Books borrowed on open days = 180 * 5 = 900. Total books borrowed in 4 weeks = 150 * 7 * 4 = 4200. Alternatively, total books borrowed in a week is 150*7 = 1050. Books borrowed in 4 weeks is 1050 * 4 = 4200. The correct answer is also obtainable by considering that 900 books are borrowed weekly on the days it is open. Hence 900*4 = 3600. Books borrowed overall = 150 * 7 * 4 = 4200. The total books borrowed = 180 * 5 * 4 = 3600.

Q.4 100 99 95 86 70 ?
Check Solution

Ans: A

The pattern is subtracting the square of consecutive numbers starting from 1. 100 – 1^2 = 99 99 – 2^2 = 95 95 – 3^2 = 86 86 – 4^2 = 70 70 – 5^2 = 45

Q.5 2 6 18 54 ? 486
Check Solution

Ans: B

Each number is multiplied by 3 to get the next number in the sequence.

Q.6 5 7 11 19 35 ?
Check Solution

Ans: A

The pattern is: +2, +4, +8, +16. Therefore, the next difference should be +32, and 35 + 32 = 67

Q.7 In how many ways can 4 integers be selected from the set {1, 2, 3, …….., 20} such that the product of the four integers is an even number?
Check Solution

Ans: A

Total number of ways to select 4 integers from 20 is 20C4 = 4845. The product will be odd only if all 4 selected integers are odd. There are 10 odd numbers in the set. So, the number of ways to select 4 odd integers is 10C4 = 210. Therefore, the number of ways to select 4 integers such that their product is even is 4845 – 210 = 4635. None of the given options matches the calculated answer. However, the closest answer should be considered. We made an error in the selection of our answer, there appears to be a miscalculation. To make the product even at least one of the selected integers must be even. Ways of selecting all odd integers = 10C4 = 210. Total ways of selection = 20C4 = (20*19*18*17)/ (4*3*2*1) = 4845. Ways of selection for at least one even integer = 4845 – 210 = 4635.

Q.8 A group of friends went to a restaurant. There are 10 people in the group, including 6 adults and 4 children. The adults ordered different main courses, and the children ordered the same dish. Every adult shook hands with every other adult exactly once. Each adult also shook hands with each child once. No one shook hands with themselves, and children did not shake hands. How many handshakes occurred?
Check Solution

Ans: B

The number of handshakes between adults is 6C2 = (6*5)/2 = 15. Each of the 6 adults shook hands with 4 children, leading to 6*4 = 24 handshakes. Therefore, the total number of handshakes is 15 + 24 = 39. But the correct answer is not among the options.

Q.9 A train travels from city X to city Y at a speed of 75 km/hr and returns from city Y to city X at a speed of 100 km/hr. What is the average speed of the train for the entire journey?
Check Solution

Ans: B

Let the distance between city X and city Y be ‘d’ km. Time taken to travel from X to Y = d/75 hours Time taken to travel from Y to X = d/100 hours Total distance = 2d Total time = d/75 + d/100 = (4d + 3d)/300 = 7d/300 Average speed = Total distance / Total time = 2d / (7d/300) = 2d * 300/7d = 600/7 = 85.71 km/hr

Q.10 A car covers 300 km at a speed of 60 km/hr and another 240 km at a speed of 80 km/hr. Find the average speed of the car for the entire journey.
Check Solution

Ans: A

Time taken for the first part of the journey = 300/60 = 5 hours. Time taken for the second part of the journey = 240/80 = 3 hours. Total distance = 300 + 240 = 540 km. Total time = 5 + 3 = 8 hours. Average speed = 540/8 = 67.5 km/hr.

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