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If positive integers q and r are both even, which of the following must be odd?

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by BTGmoderatorLU » Fri Aug 28, 2020 9:56 am

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B

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D

E

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Source: Princeton Review

If positive integers q and r are both even, which of the following must be odd?

A. q-r
B. q/r
C. q/r + 1
D. qr-1
E. q(r-1)

The OA is D
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Source: — Problem Solving |

An even number times an even number will always be even, and subtracting 1 from an even number will always be odd. Therefore, qr-1 will always be odd -> D
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