Mphasis – 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 A bacteria colony increases from 500 to 4000 in three hours. Assuming exponential growth, what is the rate of growth?
Check Solution
Ans: B
The colony grows by a factor of 8 in 3 hours (4000/500 = 8). Since 8 is 2*2*2, the growth is doubling every hour.
Q.2 A factory produces 1200 toys in 3 days. Another factory produces 1500 toys in 5 days. What is the ratio of the average daily production of the first factory to the second factory?
Check Solution
Ans: D
First factory daily production: 1200/3 = 400 toys. Second factory daily production: 1500/5 = 300 toys. Ratio: 400:300 which simplifies to 4:3.
Q.3 Which of the following numbers is a prime number?
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Ans: C
A prime number is a whole number greater than 1 that has only two divisors: 1 and itself. 29 fits this definition.
Q.4 A circular garden has a diameter of 28 meters. Approximately how much area does the garden cover? (Use π ≈ 22/7)
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Ans: A
The radius is half the diameter, so radius = 28/2 = 14 meters. Area = πr² = (22/7) * 14 * 14 = 616 square meters.
Q.5 A train leaves a station at 6 a.m. and travels at a speed of 60 km/h. Another train leaves the same station at 9 a.m. and travels in the same direction at a speed of 90 km/h. At what time will the second train catch up with the first train?
Check Solution
Ans: C
The first train has a 3-hour head start, covering a distance of 60 km/h * 3 h = 180 km. The relative speed between the two trains is 90 km/h – 60 km/h = 30 km/h. Time taken for the second train to cover the 180 km gap is 180 km / 30 km/h = 6 hours. Since the second train starts at 9 a.m., it will catch up at 9 a.m. + 6 hours = 3 p.m.
Q.6 A baker needs to make 60 cookies. He has already made 36 cookies. What fraction of the cookies does the baker still need to make?
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Ans: A
Cookies left to make = 60 – 36 = 24. Fraction of cookies left = 24/60 = 2/5.
Q.7 A train leaves a station at 8:00 AM and travels at a speed of 60 km/h. Another train leaves the same station at 9:00 AM and travels in the same direction at a speed of 80 km/h. At what time will the second train overtake the first train?
Check Solution
Ans: B
The first train has a one-hour head start, covering 60 km. The relative speed of the second train compared to the first is 80 – 60 = 20 km/h. Time to overtake = Distance / Relative Speed = 60 km / 20 km/h = 3 hours. Therefore, the second train overtakes the first 3 hours after it departs at 9:00 AM, which is 12:00 PM.
Q.8 Fifteen is 75% of what number?
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Ans: B
Let the number be x. 75% of x = 15. (75/100) * x = 15. x = 15 * (100/75) = 20
Q.9 The sum of thrice a number and five is then divided by 2, resulting in 13. What is the number?
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Ans: B
Let the number be x. (3x + 5)/2 = 13 => 3x + 5 = 26 => 3x = 21 => x = 7
Q.10 Find three consecutive even integers whose sum is 96.
Check Solution
Ans: A
Let the first even integer be x. The next two consecutive even integers are x+2 and x+4. The sum is x + (x+2) + (x+4) = 3x + 6 = 96. Therefore, 3x = 90, and x = 30. The integers are 30, 32, 34.
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