For 2N to have one prime divisor, N must be either 1(If N = 1, 2N = 2 and 2N has one prime divisor) or an integer of the form 2^k, where k is a positive integer(If N = 2^k, 2N = 2^(k+1) and 2N has one prime divisor , i.e. 2).1. 2N has one prime divisor
If N = 1, N has no prime divisors
If N = 2^k, N has one prime divisors, i.e. 2.
Since we have two different answers, statement 1 is insufficient to answer the question.
For 3N to have one prime divisor, N must be either 1(If N = 1, 3N = 3 and 3N has one prime divisor) or an integer of the form 3^k, where k is a positive integer(If N = 3^k, 3N = 3^(k+1) and 3N has one prime divisor , i.e. 3).2. 3N has one prime divisor
If N = 1, N has no prime divisors
If N = 3^k, N has one prime divisors, i.e. 3.
Since we have two different answers, statement 2 is insufficient to answer the question.
The value of N is 1 and it has no prime divisors.From 1 and 2
IMO C












