Question

Three sets of english', mathematics and science books containing 336, 240 and 96 books respectively have to be stacked in such a way that all the books are stored subjecttwise and the height of each stack is the same. Total number of stacks will be :

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Answer 1

Answer:

Total number of English books = 336

Total number of mathematics books = 240

Total number of science books = 96

∴ Number of books stored in each stack = HCF (336, 240, 96)

Prime factorization:

$336 = {2}^{4} \times 3 \times 7$

$240 = {2}^{4} \times 3 \times 5$

$96 = {2}^{5} \times 3$

∴ HCF = Product of the smallest power of each common prime factor involved in the numbers =

${2}^{4} \times 3 = 48$

Hence, we made stacks of 48 books each Number of stacks = 336/48 + 240/48 + 96/48

= (7+5+2)

= 14

Answer 2

Answer:

The above answer is absolutely correct