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X, Y, Z, and W 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)
    Y-Z must be odd.
  • b)
    W must be even.
  • c)
    W must be odd.
  • d)
    Z must be even.
  • e)
    Z must be odd
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
X, Y, Z, and W are integers. The expression X-Y-Z is even and the Expr...
The first expression is even and the second is odd, the only difference between the expressions is that the first expression has X and the second has W. So, if X is even W must be odd and
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Most Upvoted Answer
X, Y, Z, and W are integers. The expression X-Y-Z is even and the Expr...

Explanation:

Given:
- X-Y-Z is even
- Y-Z-W is odd
- X is even

Analysis:
- An even number minus an even number is always even
- An odd number minus an odd number is always even

Reasoning:
- Since X is even, X-Y must be even, so Z must be odd to make X-Y-Z even
- Y-Z is odd, so Y must be odd
- Since Y is odd and Z is odd, W must be odd to make Y-Z-W odd

Therefore, the correct answer is:
c) W must be odd
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X, Y, Z, and W 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)Y-Z must be odd.b)W must be even.c)W must be odd.d)Z must be even.e)Z must be oddCorrect answer is option 'C'. Can you explain this answer?
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