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If x is an even integer and y is an odd integer, which of the followin
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Bunuel
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If x is an even integer and y is an odd integer, which of the followin [#permalink] New post  14 Oct 2019, 07:06
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If x is an even integer and y is an odd integer, which of the following is even?

(A) 3x + 4y - 1
(B) 3x + 3y - 2
(C) 4x + 4y + 1
(D) 4x + 3y + 2
(E) 4x + 3y + 1
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BrentGMATPrepNow
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If x is an even integer and y is an odd integer, which of the followin [#permalink] New post  14 Oct 2019, 07:12
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Bunuel wrote:
If x is an even integer and y is an odd integer, which of the following is even?

(A) 3x + 4y - 1
(B) 3x + 3y - 2
(C) 4x + 4y + 1
(D) 4x + 3y + 2
(E) 4x + 3y + 1


Let's test a "nice" even integer for x (say x = 0) and a nice odd integer for y (say y = 1)

We get....
(A) 3(0) + 4(1) - 1 = 3, which is ODD.
(B) 3(0) + 3(1) - 2 = 1, which is ODD.
(C) 4(0) + 4(1) + 1 = 5, which is ODD.
(D) 4(0) + 3(1) + 2 = 5, which is ODD.
(E) 4(0) + 3(1) + 1 = 4, which is EVEN.

Answer: E

Cheers,
Brent
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Re: If x is an even integer and y is an odd integer, which of the followin [#permalink] New post  14 Oct 2019, 07:15
Bunuel wrote:
If x is an even integer and y is an odd integer, which of the following is even?

(A) 3x + 4y - 1
(B) 3x + 3y - 2
(C) 4x + 4y + 1
(D) 4x + 3y + 2
(E) 4x + 3y + 1


x=4,y=3
(A) 3x + 4y - 1 = 3(4)+4(3)-1 = 23
(B) 3x + 3y - 2 = 3(4)+3(3)-2 = 19
(C) 4x + 4y + 1 = 4(4)+4(3)+1 = 29
(D) 4x + 3y + 2 = 4(4)+3(3)+2 = 27
(E) 4x + 3y + 1 = 3(4)+3(3)+1 =22

Option E.

You can also think in terms of even and odd, instead of picking number. Whatever works best for you!
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Re: If x is an even integer and y is an odd integer, which of the followin [#permalink]
14 Oct 2019, 07:15
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