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If a and b are integers and a – b is even, which of the following must always be even?

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PY 8: GATE ME 2017 Official Paper: Shift 2
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  1. ab
  2. a2 + b2 + 1
  3. a2 + b + 1
  4. ab – b

Answer (Detailed Solution Below)

Option 4 : ab – b
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Detailed Solution

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According to the given relation of a – b = even, there is a possibility of odd-odd (or) even-even is equal to even.

From the options, Option (D) is correct.

Since, odd × odd – odd (or) even × even – even → is always even number.
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