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Vincen
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If \(a,b\) and \(c\) are three positive integers such that at least one of them is odd, which of the following statements must be true?
A. \(a + b + c\) is odd.
B. \(a + b + c\) and \(abc\) have the same even-odd nature.
C. \(100a + 10b + c\) is odd.
D. If \(\dfrac{b}2\) and \(\dfrac{c}2\) are integers, then \(2a+\dfrac{b}2+\dfrac{c}2\) is even.
E. None of the above.
Answer: E
Source: e-GMAT
A. \(a + b + c\) is odd.
B. \(a + b + c\) and \(abc\) have the same even-odd nature.
C. \(100a + 10b + c\) is odd.
D. If \(\dfrac{b}2\) and \(\dfrac{c}2\) are integers, then \(2a+\dfrac{b}2+\dfrac{c}2\) is even.
E. None of the above.
Answer: E
Source: e-GMAT