N! has 37 zeros at its end. How many values of N is/are possible?
A
1
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B
5
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C
Infinite
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Solution
The correct option is B 5 N! is having 37 zeros at its end, so N = 150 (obtained by Hit and Trial as N is approximately four times the number of zeros) So, 150≤N≤154, as all will contain same number of powers of 5. So, five values are possible.