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Maths Puzzle
Find the highest power of 9 dividing 99! completely
a)12
b)14
c)22
d)24
Read Solution (Total 3)
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- 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 . - 11 years agoHelpfull: Yes(2) No(0)
- Option (a) will be the answer
Reason- [99/9] + [99/9^2] = 11 + 1
= 12 - 11 years agoHelpfull: Yes(1) No(1)
- option d will be the answer.
we need to count the no of 3^2 in 99! .
this will give ans.
:) - 11 years agoHelpfull: Yes(0) No(1)
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