W, X, Y, Z are integers. The expression X - Y - Z is even and the expression Y…
2025
W, X, Y, Z are integers. The expression X - Y - Z is even and the expression Y - Z - W is odd. If X is even what must be true?
- A.
W must be odd
- B.
Y - Z must be odd
- C.
Z must be even
- D.
Z must be odd
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Show answer & explanation
Correct answer: A
X is even so Y, Z both are even or both are odd.
Now Y - Z in both cases even. So (Y - Z ) - W = odd happens only when w is odd
Ans: W is odd