question_answer

What is the maximum number of books that can be placed in each stack for this purpose?

A) 10

B) 14

C) 12

D) 15

Correct Answer: A

Solution :

Sol.     Given number of science books = 420 and number of arts books = 130

\[420=2\times 2\times 3\times 5\times 7\]

\[130=2\times 5\times 13\]

Maximum number of books that can be placed in each stack for the given purpose

\[=HCF(420,130)={{2}^{1}}\times {{5}^{1}}=10\]

So, option [a] is correct.