Is q an integer ?
A- q + 6 is an integer
B- 2q is even
[spoiler]OA is D. Why B is Sufficient? I think that 2 * 1/24 = 1/12 is even number but not an integer; is 1/12 not even ? when it says even, does this mean an integer ? [/spoiler]
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heshamelaziry
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papgust
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1/12 is not an even number. It is a positive proper fraction. Fractions cannot be odd or even.
Again, 2q can be negative or positive even numbers (integers). But we are not concerned whether it is negative or positive. The question only asks "Is q an integer?" Whether its positive or negative, this will be sufficient.
Again, 2q can be negative or positive even numbers (integers). But we are not concerned whether it is negative or positive. The question only asks "Is q an integer?" Whether its positive or negative, this will be sufficient.
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Stuart@KaplanGMAT
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As papgust notes, 1/12 is not even; only integers are odd or even.heshamelaziry wrote:Is q an integer ?
A- q + 6 is an integer
B- 2q is even
[spoiler]OA is D. Why B is Sufficient? I think that 2 * 1/24 = 1/12 is even number but not an integer; is 1/12 not even ? when it says even, does this mean an integer ? [/spoiler]
We can rewrite B as an equation:
2q = even
and, just like any other equation, we can divide both sides by 2 to get:
q = even/2
Since every even number is divisible by 2 (that's the definition of an even number), q must be an integer.
Stuart Kovinsky | Kaplan GMAT Faculty | Toronto
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