Bunuel wrote:

How many books can fit into a cubic box if the side of the box is 2 feet long?

(1) The thickness of each book is 2 inches.

(2) Each book has a volume of 0.9 cubic feet.

We require the size of the box and the size of the book to answer the question...

We have the dimensions of Box, so we require dimensions of book

JUST the volume is not enough..1) statement I gives us the thickness of book

We do not know the other dimensions of books

Insufficient

2) statement II gives the volume of the book

No dimensions break down

Insufficient

Combined

We have volume and the thickness of book but what about length and breadth..

Volume = 0.9 cu ft = 1555.2 cu in

Since thickness is 2 inches, L*B of book is 1555.2/2=777.6 sq inch

Thickness of 2" means we can

Now L and B can vary accordingly..

Say the length of book is more than 2 ft, no book will fit in as length had to be shorter than 2ft, if it is <2ft, we may fit something ..

So insufficient..

Note..

The area of base of cube =24^2=576 sq inches which is LESS than the area of book 777.6..

So we can fit in some book diagonally as shown

E

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372

2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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