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24 Mar 2022, 06:15
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If x is the sum of n odd integers, which of the following must be true?
A. x is odd.
B. x is even.
C. x≠0
D. If x is even, n is even.
E. If n is odd, x is even.
A. x is odd.
B. x is even.
C. x≠0
D. If x is even, n is even.
E. If n is odd, x is even.
24 Mar 2022, 06:27
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A sum of odd integers can be odd (1 + 1 + 1 is odd), it can be even (1 + 1 is even) and it can be zero (1 + (-1) is zero). So A, B and C do not need to be true. Looking at E, if we add an odd number of odd numbers, the sum is always odd, so E is false. So the answer is D.
24 Mar 2022, 06:31
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Bunuel
If x is the sum of n odd integers, which of the following must be true?
A. x is odd.
B. x is even.
C. x≠0
D. If x is even, n is even.
E. If n is odd, x is even.
A. x is odd.
B. x is even.
C. x≠0
D. If x is even, n is even.
E. If n is odd, x is even.
x = Sum of n odd integers
A. x is odd. is wrong because for even value of n, x will be even
B. x is even. is wrong because for Odd value of n, x will be Odd
C. x≠0 is wrong because for the odd integers -1 and +1, sum x will be zero
D. If x is even, n is even. CORRECT because sum of even number of Odd integers will be Even
E. If n is odd, x is even.
Answer: Option D
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