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X and Y are integers, X is even and negative, Y is odd and positive. Which of the following could be false?
1. (X + Y) is an odd number.
2. Y(X + Y) is an integer.
3. XY is a positive number
  • a)
    2 only
  • b)
    3 only.
  • c)
    1 and 3 only
  • d)
    2 and 3 only
  • e)
    1, 2 and 3.
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
X and Y are integers, X is even and negative, Y is odd and positive. W...
The best answer is D.
Find opposing examples for each of the statements.
1: An odd number + an even number are always an odd number.
2: Try the numbers: X=-4, Y=3 → 3(-1) = 1/3 which is not an integer.
3: Try the numbers: X=-2, Y=3 → XY = (-2)3 = -8, which is not positive.
Statements 2 and 3 are not necessarily true.
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X and Y are integers, X is even and negative, Y is odd and positive. Which of the following could be false?1. (X + Y) is an odd number.2. Y(X + Y) is an integer.3. XY is a positive numbera)2 onlyb)3 only.c)1 and 3 onlyd)2 and 3 onlye)1, 2 and 3.Correct answer is option 'D'. Can you explain this answer?
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