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29 Jun 2024, 11:46
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
71% (00:56) correct
28% (01:11) wrong based on 7 sessions
History
Date
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If -m/19 is an even integer, which of the following must be true?
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.
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.
17 Oct 2024, 10:41
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Donnie84
OE
An even integer is a multiple of 2. If -\(\frac{m}{9}\) is an even integer, it must equal 2 times some integer k. This means that -\(\frac{m}{9}\)=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.
Answer: E
