Question

There are sets of English, Hindi and Mathematics books have to be stacked in such a way that all the books are stored topic-wise and the height of each stack is same. The number of English books is 196, the number of Hindi books is 40 and the number Of mathematics books is 302. Assuming that the books are of same thickness find the number of books in one stacks

Answer 1

3 ss of english, hindi and maths books have to be stacked in such a way that all the books are stored topic wise in such a way that height of each stack are same. Number of english books is 96, no. ... of maths books is 336.

Answer 2

Answer:

In order to arrange the books as required, we have to find the largest number that divides 96, 240 and 336 exactly. Clearly, such a number is their HCF Computation of 96, 240 and 336.

\begin{gathered}96 = 2 \times 2 \times 2 \times 2 \times 2 \times 3 \\ 240 = 2 \times 2 \times 2 \times 2 \times 3 \times 5 \\ 336 = 2 \times 2 \times 2 \times 2 \times 3 \times 7\end{gathered}

96=2×2×2×2×2×3

240=2×2×2×2×3×5

336=2×2×2×2×3×7

Therefore the HCF is 48.

Stacks of English books = 96/48 = 2

Stacks of Hindi books = 240/48 = 5

Stacks of Maths books = 336/48 = 7