Let a be a positive integer. If t is divisible by 2^a and t is also divisible by 3^(2a), then it is...

Let a be a positive integer. If t is divisible by 2^a and t is also divisible by 3^(2a), then it is possible that t is NOT divisible by

Quiz

Answer/Solution

6^(2a)

Steps/Work

Since, t is divisible by 2^a and 3^(2a), it must be divisible by 6. As least value of a = 1
Only for E, 6^(2a) doesn't satisfy, if a = 1 and t=18, it is not divisible by 6^2 (i.e 36)
Hence answer is E