Question

Find the maximum value of n such that 157! is perfectly divisible by ${10}^n$.

• A. 37
• B. 38
• C. 16
• D. 31

Answer 1

The correct option is B 38

$\left[\frac{157}{5}\right]=31.\left[\frac{31}{5}\right]=6.\left[\frac{6}{5}\right]=1.31+6+1=38$
Option (b) is correct.