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# If a, b, and c are integers, is (a − b − c) even? (1) a and b are even

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Math Expert
Joined: 02 Sep 2009
Posts: 56268
If a, b, and c are integers, is (a − b − c) even? (1) a and b are even  [#permalink]

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24 Sep 2018, 06:08
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35% (medium)

Question Stats:

75% (01:22) correct 25% (01:25) wrong based on 44 sessions

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If a, b, and c are integers, is (a − b − c) even?

(1) a and b are even and c is odd.
(2) a, b and c are consecutive integers.

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Math Expert
Joined: 02 Aug 2009
Posts: 7764
Re: If a, b, and c are integers, is (a − b − c) even? (1) a and b are even  [#permalink]

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24 Sep 2018, 08:12
If a, b, and c are integers, is (a − b − c) even?

(1) a and b are even and c is odd.
So even-even-odd will be odd
Ans is NO
Sufficient

(2) a, b and c are consecutive integers.
If three are consecutive integers, two ways..
1) even,odd,even
Then even-even-odd will be odd
2) odd,even,odd
Then odd-even-odd will be even
Insufficient

A
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Re: If a, b, and c are integers, is (a − b − c) even? (1) a and b are even   [#permalink] 24 Sep 2018, 08:12
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