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# If x is an integer, is 3x + 7 even? (1) (x 5)(x + 1) = 0 (2)

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Manager
Joined: 06 Nov 2008
Posts: 53
If x is an integer, is 3x + 7 even? (1) (x 5)(x + 1) = 0 (2) [#permalink]

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06 Nov 2008, 10:52
If x is an integer, is 3x + 7 even?
(1) (x – 5)(x + 1) = 0
(2) x is a factor of 105.

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

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VP
Joined: 17 Jun 2008
Posts: 1479

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07 Nov 2008, 05:59
The question simply asks whether x is an odd number.

From stmt1: x = 5, -1. Hence, sufficient.
From stmt2: x = 1, 3, 5, 7, 3*5, 3*7, 7*5, 3*5*7 and all of them are odd. Hence, sufficient.

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Re: even numbers   [#permalink] 07 Nov 2008, 05:59
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# If x is an integer, is 3x + 7 even? (1) (x 5)(x + 1) = 0 (2)

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