Maths-
General
Easy
Question
The maximum value of P such that 3P divides 99 × 97 × 95 × .... × 51 is-
- 11
- 14
- 13
- 12
The correct answer is: 14
99 × 97 × 95 ×....× 51
maximum power of 3 in 100 !
= 33 + 11 + 3 + 1 = 48.
maximum power of 3 in 50! = 
= 16 + 5 + 1 = 22
maximum power of 3 in 25! = 
= 8 + 2 = 10
exponent of 3 = 48 + 10 –
(22 × 2) = 14
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