TeHCM wrote:

Is the integer n odd?

(1) n is divisible by 3

(2) 2n is divisible by twice as many positive integers as n

Stmt 1: Let n =6 divisible by 3 but even. Let n = 9 odd and divisible by 3. So insuff.

Stmt2: Let n = 7 (a prime number) factors 1,7. 2n = 14 factors = 1,2,7,14 = There are twice as many factors as n.

Let n = 9 (odd number but not prime) factors = 1,3,9. 2n = 18 factors = 1,2,3,6,9,18 (There are twice as many factors)

Let n = 4 factors = 1,2,4 2n= 8 factors = 1,2,4,8 (Thre are no twice as many factors)

So stmt 2 is suff.

Hence B