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14 Oct 2019, 08:17
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B
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Difficulty:
5%
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Question Stats:
96% (00:38) correct
4%
(00:31)
wrong
based on 325
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If x is an integer, which of the following must be an odd integer?
A. 2x + 2
B. 4x + 3
C. 12x-6
D. 13x
E. 14x
A. 2x + 2
B. 4x + 3
C. 12x-6
D. 13x
E. 14x
14 Oct 2019, 08:23
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Bunuel
Let's test a nice easy value of x.
How about x = 0
We get...
A. 2(0) + 2 = 2, which is EVEN
B. 4(0) + 3 = 3, which is ODD
C. 12(0) - 6 = 12, which is EVEN
D. 13(0) = 0, which is EVEN
E. 14(0) = 0, which is EVEN
Answer: B
Cheers,
Brent
14 Oct 2019, 09:43
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Bunuel
(A) If x is Odd 2x is even & 2x + 2 will hence be Even ; If x is even then 2x is even & 2x + 2 will hence be Even.
(B) If x is Odd 4x is even & 4x + 3 will hence be Odd ; If x is even then 4x is even & 4x + 3 will hence be Odd.
(C) If x is Odd 12x is even & 12x - 6 will hence be Even ; If x is even then 12x is even & 12x - 6 will hence be Even.
(D) If x is Odd 13x is Odd ; If x is even then 13 x is even
(E) If x is Odd 14x is Even ; If x is even then 14 x is even
Hence , Answer must be (B) as for either odd/even value of x the result is always Odd.
