Latest CAT Aptitude Question SOLUTION: Q. There are a certain number of apples in a big box. A boy takes half apple more, than half of them. A second boy takes half apple more than half of the remaining and so on. After

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(#M40029265) CAT Numerical Ability question CAT quant Keep an EYE

Q. There are a certain number of apples in a big box. A boy takes half apple more, than half of them. A second boy takes half apple more than half of the remaining and so on. After the 7th boy takes his share, the number of apples in the box is 635 less than the original number of apples. If no apple is cut in the entire process, how many apples are left after the fifth boy takes apples from the box?

Option
(1) 9
(2) 19
(3) 39
(4) 59

Asked In CAT (10 years ago)

Unsolved Read Solution (1)

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Sourav  (4 years ago)

Let x apples are left before the 5th boy took his part of the apples.
5th boy should take x/2+1/2 apples
x/2+1/2=10
x+1=20
x=19
Similarly for 6th boy took 19/2+1/2=10 apples
Now, apples remaining 19-10=9 apples
Similarly the 7th boy takes 9/2+1/2= 5 apples ( and so on...)

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