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# If a, b, and c are integers and a(b - c) is odd, which of the

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If a, b, and c are integers and a(b - c) is odd, which of the  [#permalink]

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26 Aug 2018, 11:04
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73% (01:40) correct 27% (01:31) wrong based on 36 sessions

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If a, b, and c are integers and a(b - c) is odd, which of the following must be odd?

A. b
B. c
C. ab
D. ab + c
E. abc

Source: Experts Global

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If a, b, and c are integers and a(b - c) is odd, which of the  [#permalink]

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26 Aug 2018, 11:19
1
pushpitkc wrote:
If a, b, and c are integers and a(b - c) is odd, which of the following must be odd?

A. b
B. c
C. ab
D. ab + c
E. abc

Source: Experts Global

Should be D.

a = odd
b-c = odd (i.e. b= even, c = odd or b = odd, c = even).

Hence, ab + c = Odd.
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If a, b, and c are integers and a(b - c) is odd, which of the  [#permalink]

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26 Aug 2018, 11:30
pushpitkc wrote:
If a, b, and c are integers and a(b - c) is odd, which of the following must be odd?

A. b
B. c
C. ab
D. ab + c
E. abc

Source: Experts Global

a,b,c are integers and a(b-c) is odd
a is odd and (b-c) is odd, since if either is even then the product will be even.
In b-c, either b can be odd and c can be even or vice-versa.
With this, we can eliminate answer choices A,B,C and D, since out of the three integers atleast b or c shall be even.
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If a, b, and c are integers and a(b - c) is odd, which of the   [#permalink] 26 Aug 2018, 11:30
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