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Difficulty:
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Question Stats:
79% (01:20) correct
21%
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If r and s are integers and rs + r is odd, which of the following must be even ?
A. r
B. s
C. r + s
D. rs - r
E. r^2 + s
A. r
B. s
C. r + s
D. rs - r
E. r^2 + s
04 Oct 2014, 15:18
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If r and s are integers and rs + r is odd, which of the following must be even ?
A. r
B. s
C. r + s
D. rs - r
E. r^2 + s
Given that rs + r is odd --> \(rs + r =r*(s+1)=odd\). For the product of two integers, r and s+1, to be odd both must be odd. Theretofore, r and s+1 are odd, which means that r is odd and s is even.
Answer: B.
A. r
B. s
C. r + s
D. rs - r
E. r^2 + s
Given that rs + r is odd --> \(rs + r =r*(s+1)=odd\). For the product of two integers, r and s+1, to be odd both must be odd. Theretofore, r and s+1 are odd, which means that r is odd and s is even.
Answer: B.
