If the number of integral terms in the expansion of (3^ 12 +5^ 18 )^n is exactly 33, then the least value of n is

JEE Main Mathematics question

If the number of integral terms in the expansion of is exactly , then the least value of is

Answer: (C)

The general term is , which is an integer iff and is even; since is then even, must be even. For even the admissible are up to ,

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Question ID VK-021314