please help

AJWILL wrote:Is the integer K odd?
(1) 7K is an odd integer.
(2) K/7 is an not an odd integer.


OA A

[spoiler]but i am unable to prove B insufficient.
looking at the statement like this-
k not equal to odd I(7)* odd I
therefore k not equal to odd integer..[/spoiler]
where m i going wrong??

(1) 7K is an odd integer.
If K = Odd, say 1, 3, 5,... then 7K will always be an odd integer.
If K = even, say 2, 4, 6,... then 7K will always be an even integer.
So, clearly K is an odd integer; SUFFICIENT.

(2) K/7 is an not an odd integer.
If K = 1, then K/7 = 1/7, which is not an odd integer but K is an odd integer here.
If K = 14, then K/7 = 14/7 = 2, which is not an odd integer, and K is an even integer.
No definite answer; NOT sufficient.

The correct answer is A.