Question
If n! and (6n)! end with 22 zeros and 144 zeros respectively, then which of the following is a divisor of n?
Answer: Option A
:
A
Possible values of n = 95, 96, 97, 98 and 99. Possible values of 6n = 570, 576, 582, 588 and 594. Only 588! ends with 144 zeros. So, n = 98. Only 14 is a divisor of 98.
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:
A
Possible values of n = 95, 96, 97, 98 and 99. Possible values of 6n = 570, 576, 582, 588 and 594. Only 588! ends with 144 zeros. So, n = 98. Only 14 is a divisor of 98.
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