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If x is a positive integer, which of the following must be an even int
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25 Jan 2021, 05:24
25 Jan 2021, 05:24
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If x is a positive integer, which of the following must be an even integer?
Indicate all such integers.
(A) \(x + 2\)
(B) \(2x + 1 \)
(C) \(2x^2 + 4x + 6 \)
(D) \(x^2 + x + 1 \)
(E) \(x^2 + x + 2 \)
Indicate all such integers.
(A) \(x + 2\)
(B) \(2x + 1 \)
(C) \(2x^2 + 4x + 6 \)
(D) \(x^2 + x + 1 \)
(E) \(x^2 + x + 2 \)
Re: If x is a positive integer, which of the following must be an even int
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25 Jan 2021, 08:02
25 Jan 2021, 08:02
1
(A) \(x + 2\)
Put x = 1 & 2 , Can be even & odd
(B) \(2x + 1 \)
This will be odd always
(C) \(2x^2 + 4x + 6 \)
2 ( x^2 + 2x + 3) = Always even
(D) \(x^2 + x + 1 \)
x(x+1) + 1 = Always odd ; x & x+1 are consecutive integers so multiplication will be even & +1 will be odd
(E) \(x^2 + x + 2 \)
x(x+1) + 2 = Always even ; x & x+1 are consecutive integers so multiplication will be even & +2 will be even as well
Answer C E
Put x = 1 & 2 , Can be even & odd
(B) \(2x + 1 \)
This will be odd always
(C) \(2x^2 + 4x + 6 \)
2 ( x^2 + 2x + 3) = Always even
(D) \(x^2 + x + 1 \)
x(x+1) + 1 = Always odd ; x & x+1 are consecutive integers so multiplication will be even & +1 will be odd
(E) \(x^2 + x + 2 \)
x(x+1) + 2 = Always even ; x & x+1 are consecutive integers so multiplication will be even & +2 will be even as well
Answer C E
gmatclubot
Re: If x is a positive integer, which of the following must be an even int [#permalink]
25 Jan 2021, 08:02
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