Question

Three sets of English, Hindi and Mathematics books have to be stacked in such a way that all the books are stored topicwise and the height of each stack is the same. The number of English books is 96, the number of Hindi books is 240, and the number of Mathematics books is 336. Assuming that the books are of the same thickness. Determine the number of stacks of English, Hindi, Mathematics books.

Answer 1

The number of English, Hindi, and Math books is $96,240$ and $336$.

$96=2^5\times 3,240=2^4\times 3\times 5$ and $336=2^4\times 3\times 7$

The $H.C.F$ of three all three numbers is $2^4\times 3=48.$

So,

No. of the stack of English book

$=\frac{96}{48}=2$

No. of a stack of Hindi book

$=\frac{240}{48}=5$

No. of stock of Math book

$=\frac{336}{48}=7$

Hence, this is the answer.