Is the integer N odd?
1)N is divisible by 3.
2)2N is divisible by twice as many positive integers as N.
1)N is divisible by 3.
2)2N is divisible by twice as many positive integers as N.
E. Use examples:
Statement 1 isn't sufficient by itself since it could be 3,6,or 9, examples of odd and even numbers, so you're not sure which one it is.
Statement 2 isn't sufficient by itself since it could be 3 or 7.
For N = 3: (2*3 = 6 has factors of 1,2,3,6 which is a total of 4 factors, as opposed to N,which has a total of 2 factors (1 and 3)
For N = 7: (2*7 = 14 has factors of 1,2,7,14 as opposed to N=7, which has factors of 1 and 7).
For N = 9: (2*9 = 18 has factors of 1,2,3,6,9,18, and N=9 has a total of 3 factors - 1,3,9)
Using information from both statements, you could determine that neither are sufficient on their own, and if you use both, you still end up with no definite answer (could be N = 3 or N = 9), so answer is choice E.
