50*49*48*47*..................*4*3*2*1 = x*(3^n) where x is an integer not divisible by 3 then integ

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07 Jul 2011 powers of 3

50*49*48*47*..................*4*3*2*1 = x*(3^n) where x is an integer not divisible by 3 then integral value of n will be

OPtion

1) 16
2) 17
3) 21
4) 22
5) 25
6) 48
7) 50
8) 15
9) data are insufficient
10) none of these

Solution

Formula for solving the question is
[50/3] + [50/9] + [50/27], here [] represents integral value
= 16 + 5 + 1
= 22

Correct Option: 4 Best Solution (6)