Simplification - General Aptitude

Q1:

Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ?

A 256

B 432

C 512

D 640

E None of these

ANS:C - 512

Let total number of children be x.

Then, x x 1 x = x x 16     x = 64.
8 2
 Number of notebooks = 1 x2 = 1 x 64 x 64 = 512.
8 8