If p is a positive integer, is p even?
(1) p divided by 3 leaves a remainder of 1
(2) p divided by 6 leaves a remainder of 1
(1) p divided by 3 leaves a remainder of 1
(2) p divided by 6 leaves a remainder of 1
(1) If p = 13, then 13/3 leaves a remainder of 1.
If p = 16, then 16/3 leaves a remainder of 1.
So, p may or may not be even, no unique answer.
Statement 1 is NOT SUFFICIENT.
(2) If p = 13, then 13/6 leaves a remainder of 1.
If p = 19, then 19/6 leaves a remainder of 1.
It can be seen that p will always be an odd integer in this case.
So, the answer to the main question is "No".
Statement 2 is SUFFICIENT.
[spoiler]The correct answer is B.[/spoiler]
