Latest MBA Aptitude Question SOLUTION: Find the number of zeros at the end of 15! in base 12.

1) 12
2) 5
3) 6
4) N.O.T

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(#M40016004) MBA question number systems, progressions Keep an EYE

Find the number of zeros at the end of 15! in base 12.

1) 12
2) 5
3) 6
4) N.O.T

Asked In MBA (11 years ago)

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Garima  (11 years ago)

5

12=2*2*3=3*2^2

Numbers of zeros at end of 15! in base 12 will be equal to highest power of 12 in 15!.
powers of 2 in 15! = 15/2+15/4+15/8 ..... 7+3+1=11
Powers of @^4 in 15!= 11/2....5
powers of 3 in 15!= 15/3+15/9= 5+1=6

so 5 zeros at the end of 15! in base 12.

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