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

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Math Expert
Joined: 02 Sep 2009
Posts: 55150
If x is an integer, which of the following must be an even integer?  [#permalink]

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29 Nov 2018, 00:20
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Difficulty:

15% (low)

Question Stats:

92% (00:59) correct 8% (00:53) wrong based on 33 sessions

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If x is an integer, which of the following must be an even integer?

A. (x+1)^2
B. (x+1)(x+2)
C. (x+1)(x+3)
D. (x+2)^2
E. (x+2)(x+4)

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

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29 Nov 2018, 00:40
If we multiply any two consecutive integers , we will get an even number.
(x+1)(x+2) = always even
Either (x+1) is even or (x+2) is even
Hence B

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

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29 Nov 2018, 03:23
Bunuel wrote:
If x is an integer, which of the following must be an even integer?

A. (x+1)^2
B. (x+1)(x+2)
C. (x+1)(x+3)
D. (x+2)^2
E. (x+2)(x+4)

Check by plugging in value of x as 1 and 2 for each case only option B goes well ..
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Re: If x is an integer, which of the following must be an even integer?  [#permalink]

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29 Nov 2018, 06:22
Bunuel wrote:
If x is an integer, which of the following must be an even integer?

A. (x+1)^2
B. (x+1)(x+2)
C. (x+1)(x+3)
D. (x+2)^2
E. (x+2)(x+4)

if x= odd ,

x + 1 = even

if x = even

x + 2 = even

So, regardless of the value of x , Option B will always give us a even integer.
Re: If x is an integer, which of the following must be an even integer?   [#permalink] 29 Nov 2018, 06:22
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