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18 Oct 2019, 03:00
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D
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If j and k are integers, and 2j + k = 15, which of the following must be true?
A. j + k is odd.
B. j + k is even.
C. j is odd.
D. k is odd.
E. k > j
A. j + k is odd.
B. j + k is even.
C. j is odd.
D. k is odd.
E. k > j
18 Oct 2019, 06:05
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Bunuel
If j and k are integers, and 2j + k = 15, which of the following must be true?
A. j + k is odd.
B. j + k is even.
C. j is odd.
D. k is odd.
E. k > j
A. j + k is odd.
B. j + k is even.
C. j is odd.
D. k is odd.
E. k > j
15 is ODD
2j is EVEN for all integer values of j
So, 2j + k = 15 becomes: (some EVEN number) + k = ODD
So, it must be the case that k is ODD
Answer: D
Cheers,
Brent
18 Oct 2019, 07:38
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Bunuel
If j and k are integers, and 2j + k = 15, which of the following must be true?
A. j + k is odd.
B. j + k is even.
C. j is odd.
D. k is odd.
E. k > j
A. j + k is odd.
B. j + k is even.
C. j is odd.
D. k is odd.
E. k > j
Asked: If j and k are integers, and 2j + k = 15, which of the following must be true?
2j = even
15 = odd
k = odd - even = odd
IMO D
