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Is q an integer

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by crackgmat007 » Sun Jul 12, 2009 2:15 pm
Is q an integer?

1. q + 6 is an integer
2. 2q is even

OA - D Pls explain how statement 2 is sufficient. When it says even, do we need to take it as even integer?
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by nitya34 » Sun Jul 12, 2009 9:43 pm
Even is Even Integer only

-6,-4,-2,0,2,4.............all are Even
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Re: Is q an integer

by vittalgmat » Sun Jul 12, 2009 10:04 pm
crackgmat007 wrote:Is q an integer?

1. q + 6 is an integer
2. 2q is even

OA - D Pls explain how statement 2 is sufficient. When it says even, do we need to take it as even integer?
@crackgmat007.

To explain 2, we need to understand that Odd, Even and Prime are all properties of integers ONLY.

So let us look at stmt 2.
2q is even.
ie 2q = 2n, where n is an integer.
=> q = n.
So q is an integer.

Takeaways:
1. Odd, Even Prime are all defined on integers ONLY.
2. Even integer can be represented as 2n,
Odd integer can be represented as 2n+1
where n is an integer
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