Aptitude Questions for Campus Placement

The square of a two digit number is divided by half the number. After 36 is added to the quotient, this sum is then divided by 2. The digits of the resulting number are the same as those in the original number, but they are in reverse order. The ten's place of the original
number is equal to twice the difference between its digits. What is the number?
Ans :46.

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If Log2 x - 5 Log x + 6 = 0, then what would the value / values of x be?
Ans = e2 or e3.

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A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were ?
Ans :991.

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Three cards are drawn at random from an ordinary pack of cards. Find the probability that they will consist of a king, a queen and an ace.
Ans :64/2210.

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The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member ?
Ans :40 Years.

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Mr. Shah decided to walk down the escalator of a tube station. He found that if he walks down 26 steps, he requires 30 seconds to reach the bottom. However, if he steps down 34 stairs he would only require 18 seconds to get to the bottom. If the time is measured from
the moment the top step begins to descend to the time he steps off the last step at the bottom, find out the height of the stair way in steps?
Ans :46 Steps.

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A boat travels 20 kms upstream in 6 hrs and 18 kms downstream in 4 hrs.Find the speed of the boat in still water and the speed of the water current?
Ans :7/12 kmph.

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Pipe A can fill in 20 minutes and Pipe B in 30 mins and Pipe C can empty the same in 40mins. If all of them work together, find the time taken to fill the tank
Ans :17 1/7 mins.

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If x=y=2z and xyz=256 then what is the value of x?
Ans :8.

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Three pipes, A, B, & C are attached to a tank. A & B can fill it in 20 & 30 minutes
respectively while C can empty it in 15 minutes. If A, B & C are kept open successively for 1 minute each, how soon will the tank be filled?
Ans :167 min.