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# If x is an even integer, which of the following is an odd integer?

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Math Expert
Joined: 02 Sep 2009
Posts: 60555
If x is an even integer, which of the following is an odd integer?  [#permalink]

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09 Nov 2015, 23:16
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If x is an even integer, which of the following is an odd integer?

(A) 3x + 2
(B) 7x
(C) 8x +5
(D) x^2
(E) x^3

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Re: If x is an even integer, which of the following is an odd integer?  [#permalink]

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09 Nov 2015, 23:59
(A) 3x + 2
3*Even +2
= Even +Even = Even
(B) 7x
7*Even= Even
(C) 8x +5
8*Even +5
= Even +5
= Odd
(D) x^2
= Even * Even = Even
(E) x^3
= Even *Even * Even
= Even

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If x is an even integer, which of the following is an odd integer?  [#permalink]

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10 Nov 2015, 03:34
Bunuel wrote:
If x is an even integer, which of the following is an odd integer?

(A) 3x + 2
(B) 7x
(C) 8x +5
(D) x^2
(E) x^3

Straight C

Product of 2 even Number is an even number

Further sum of an even number and an odd number is always an Odd number .

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Re: If x is an even integer, which of the following is an odd integer?  [#permalink]

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10 Nov 2015, 09:39
Bunuel wrote:
If x is an even integer, which of the following is an odd integer?

(A) 3x + 2
(B) 7x
(C) 8x +5
(D) x^2
(E) x^3

With questions like this, we can apply RULES related to odds and evens (as skywalker18 did), or we can just PLUG IN an even value for x.
The easiest value to plug in is 0

(A) 3(0) + 2 = 2 EVEN - ELIMINATE A
(B) 7(0) = 0 EVEN - ELIMINATE B
(C) 8(0) +5 = 5 ODD. DONE!!!

For "kicks" let's keep going (although, on test day, we would select C and move onto the next question.

(D) 0^2 = 0 EVEN - ELIMINATE D
(E) 0^3 = 0 EVEN - ELIMINATE E

Cheers,
Brent
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Re: If x is an even integer, which of the following is an odd integer?  [#permalink]

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10 Aug 2016, 09:15
Here irrespective of x being even or odd => 8x+5 is always odd
Smash that C
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Re: If x is an even integer, which of the following is an odd integer?  [#permalink]

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13 Apr 2017, 01:43
Option C

x is an Even integer. Odd: O, Even: E & Fraction: F

(A) 3x + 2 = 3*E + 2 = E + 2 =E
(B) 7x =7*E = E
(C) 8x +5 = 8*E + 5 = E + 5 = O
(D) x^2 = E^2 = E
(E) x^3 = E^3 = E
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Re: If x is an even integer, which of the following is an odd integer?  [#permalink]

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16 Jun 2018, 22:39
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Re: If x is an even integer, which of the following is an odd integer?   [#permalink] 16 Jun 2018, 22:39
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