Latest self Aptitude Question SOLUTION: Find the highest power of 9 dividing 99! completely a)12 b)14 c)22 d)24

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(#M40021496) SELF question Keep an EYE

Find the highest power of 9 dividing 99! completely

a)12
b)14
c)22
d)24

vikash singh (10 years ago)

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Rahul Kumar Mehta  (10 years ago)

Oh sorry i was wrong... i need to find how many threes are present in 99!

so here is the explanation..

[99/3] + [99/3^2] + [99/3^3] + [99/3^4] = 33 + 11 + 3 + 1 = 48

so we have 48 threes and we will get 24 pair of threes .

so pair of 3 means (3*3),(3*3)........till 24 pair of threes

therefore highest power of 9 is 24 .

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Rahul Kumar Mehta  (10 years ago)

Option (a) will be the answer

Reason- [99/9] + [99/9^2] = 11 + 1

= 12

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sudhakar verma  (10 years ago)

option d will be the answer.

we need to count the no of 3^2 in 99! .
this will give ans.
:)

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