CAT Exam Numerical Ability Arithmetic

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

Read Solution (Total 1)

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...)
4 years agoHelpfull: Yes(0) No(3)

CAT Other Question

Q. A, B and C have a few chocolates among themselves. A gives to each of the other two half the number chocolates they already have. Similarly B and C (in that order) give each of the other two half the number of chocolates each of them already has. Now, if each of them has the same number of chocolates, what could be the minimum number of chocolates they have among themselves?

Option
(1) 243
(2) 81
(3) 27
(4) None of these In a chess competition involving some boys and girls of a school, every student had to play exactly one game with every other student. It was found that in 45 games both the players were girls, and in 190 games both were boys. The number of games in which one player was a boy and the other was a girl is
(1) 200
(2) 216
(3) 235
(4) 256