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  3. Ifis an even integer, which of the following must be true?

Ifis an even integer, which of the following must be true?

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问题 Ifis an even integer, which of the following must be true?
选项 A、m is a negative number.
B、m is a positive number.
C、m is a prime number.
D、m is an odd integer.
E、m is an even integer.
答案E
解析 An even integer is a multiple of 2. Ifis an even integer, it must equal 2 times some integer k. This means that= 2k,or m= -19(2k)= 2(-19k), which is a multiple of 2. Thus m must be an even integer, and the correct answer is Choice E. You can see that none of the other choices can be the correct answer by evaluating them as follows.
(A)m does not have to be a negative number forto be even. For example, if m = 38, then= -2, which is an even number.
(B)m does not have to be a positive number forto be even. For example, if m = -38, then= 2, which is an even number.
(C)The number used in(A), m = 38, shows that m does not have to be a prime number. In fact, because m is the product of at least two prime numbers(2 and 19), m cannot be a prime number.
(D)Since m must be an even integer, m cannot be an odd integer.
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