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14 Sep 2019, 09:41
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E
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Difficulty:
15%
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Question Stats:
83% (01:32) correct
17%
(01:19)
wrong
based on 84
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If a, b, c are integers and a = b - c , which of the following must be true ?
A) a is even
B) ab is even
C) ac is odd
D) abc is odd
E) abc is even
A) a is even
B) ab is even
C) ac is odd
D) abc is odd
E) abc is even
14 Sep 2019, 09:46
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KSBGC
If a, b, c are integers and a = b - c , which of the following must be true ?
A) a is even
B) ab is even
C) ac is odd
D) abc is odd
E) abc is even
A) a is even
B) ab is even
C) ac is odd
D) abc is odd
E) abc is even
All three of the unknowns cannot be odd because odd - odd is even, not odd. So, at least one must be even, which makes abc even.
Answer: E.
14 Sep 2019, 10:54
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KSBGC
If a, b, c are integers and a = b - c , which of the following must be true ?
A) a is even
B) ab is even
C) ac is odd
D) abc is odd
E) abc is even
A) a is even
B) ab is even
C) ac is odd
D) abc is odd
E) abc is even
Given:
1. a, b, c are integers
2. a = b - c
Asked: Which of the following must be true ?
b = a + c
If a & c are odd => b is even => abc is even
If a is even & c is odd => b is odd => abc is even
If a is odd & c is even = > b is odd => abc is even
If a & c is even => b is even => abc is even
In all cases
abc is even
IMO E
