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A square is divided into four rectangles as shown in the figure. The lengths of the sides of the rectangles are natural numbers. The area of two rectangles is indicated in the figure. What is the length of each side of the square?

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Important Questions on General Mental Ability (Quantitative Aptitude /Reasoning)

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Defence
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A boy wrote successive whole numbers starting from 1 up to 900. In doing so, how many times did he write the digit 7?
MEDIUM
Defence
IMPORTANT
Six singers are taking part in a music competition. There are 4 judges for the Competition. How many comparisons does each judge make between all the singers to select the best among them?
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A question booklet contains 100 questions for a test. A candidate gets 4 marks for every correct answer, loses 1 mark for every wrong answer, and no mark for a blank answer.  Which one of the following sets of marks can be secured by three candidates?
HARD
Defence
IMPORTANT
There are three possible paths to go from A to B, and four possible paths to go from B to C, A person wishes to go from A to C. What is the probability that the person will not follow a particular path  while travelling from A to C?
HARD
Defence
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In how many different ways can 6 boys be seated on 4 chairs if one chair can accommodate only one boy?
HARD
Defence
IMPORTANT

The sum of the ages of 5 members comprising a family, 3 year ago was 80 years. The average age of the family today is the same as it was 3 years ago, because of an addition of a baby during the intervening period. How old is the baby?

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A cube whose two adjacent faces are colored is cut into 64 identical small cubes. How many of these small cubes are not colored at all?
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IMPORTANT
There are 24 equally spaced points lying on a circle. What is the maximum number of equilateral triangles that can be drawn by taking sets of three points and joining the three points of each set?