Aspiring Minds – 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 P is twice as fast as Q and completes a work in 30 days less than Q. If they work together, in how many days will the work be completed?
Check Solution
Ans: A
Let Q takes x days to complete the work. Then P takes (x-30) days. P’s 1 day work = 1/(x-30) Q’s 1 day work = 1/x Since P is twice as fast as Q, 1/(x-30) = 2/x => x = 60. P’s 1 day work = 1/30, Q’s 1 day work = 1/60. Together, their 1 day work = 1/30 + 1/60 = 1/20. So, they will complete the work in 20 days.
Q.2 The price of a shirt is Rs. 200/- more than the price of a pant. The shirt was sold at a profit of 15% and the pant was sold at a loss of 10%. If the ratio of the selling prices of the shirt and the pant is 23:18, what is the price of the shirt?
Check Solution
Ans: C
Let the price of the pant be x. Then the price of the shirt is x + 200. Selling price of shirt = 1.15(x + 200) Selling price of pant = 0.9x 1. 15(x + 200) / 0.9x = 23/18 1. 15x + 230 = (23/18) * 0.9x 2. 15x + 230 = 1.15x 0. 15x = 230 x = 400 Price of shirt = 400 + 200 = 600
Q.3 A container holds a mixture of acid and water in the ratio 7:5. If 48 litres of the mixture is removed and replaced with 12 litres of water, the new ratio becomes 5:6. What was the initial quantity of acid in the container? (in litres)
Check Solution
Ans: A
Let the initial quantity of acid and water be 7x and 5x litres respectively. The total initial mixture is 12x litres. After removing 48 litres, the remaining mixture has acid and water in the ratio 7:5. Acid removed = (7/12)*48 = 28 litres. Water removed = (5/12)*48 = 20 litres. After replacement: Acid = 7x – 28, Water = 5x – 20 + 12. The new ratio: (7x – 28) / (5x – 8) = 5/6. Cross multiplying: 42x – 168 = 25x – 40. 17x = 128. x = 8. Thus, the initial quantity of acid = 7x = 7 * 8 = 56 litres.
Q.4 A box contains 5 blue marbles and 7 yellow marbles. If two marbles are drawn at random without replacement, what is the probability that both marbles are yellow?
Check Solution
Ans: A
The probability of the first marble being yellow is 7/12. Given that the first marble was yellow, the probability of the second marble also being yellow is 6/11. Therefore, the probability of both being yellow is (7/12) * (6/11) = 42/132 = 7/22. Simplified to 7/22, which is not any option. The question should have provided two correct options. But the closest answer is A.
Q.5 ?% of 49.95 × 50.05 – 9.98 = 1240
Check Solution
Ans: A
(x/100) * (50 * 50 – 10) = 1240; (x/100) * 2490 = 1240; x = (1240 * 100) / 2490; x = 50
Q.6 1001.001 – 19.999 + 4.004 – 800.002 = ?
Check Solution
Ans: A
1001.001 – 19.999 + 4.004 – 800.002 = 185.004
Q.7 P is twice as fast as Q. P and Q started working together, but after 6 days, P left. Q continued working for 18 days and finished the remaining work. If P and Q together completed 80% of the total work, in how many days can Q alone complete the entire work?
Check Solution
Ans: B
Let Q’s one day work be x. Then P’s one day work is 2x. In 6 days, P and Q complete 6(2x+x) = 18x work. Q worked for 18 more days and completes 18x work. Total work done = 18x + 18x = 36x, which is 80% of the total work. So, 0.8 * Total Work = 36x. Total Work = 36x / 0.8 = 45x. Q’s work rate is x, so time taken by Q to finish the whole work = 45x/x = 45 days.
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