Saint-Gobain – Aptitude Questions & Answers for Placement Tests

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.

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.

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.

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

Ans: B

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

Ans: A

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

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.

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.

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

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.