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MHT CET202314 May 2023Morning ShiftMathematicsMathematical ReasoningActual

The negation of the statement "The number is an odd number if and only if it is divisible by 3 . "

Options

  1. A(A) The number is an odd number but not divisible by 3 or the number is divisible by 3 but not odd.
  2. BThe number is not an odd number iff it is not divisible by 3 .
  3. CThe number is not an odd number but it is divisible by 3 .
  4. DThe number is not an odd number or is not divisible by 3 but the number is divisible by 3 or odd.

Correct answer

A. (A) The number is an odd number but not divisible by 3 or the number is divisible by 3 but not odd.

Step-by-step solution

Let p : The number is an odd number, q : The number is divisible by 3 (p q) (p q) (q p) The negation of the given statement is "The number is an odd number but not divisible by 3 or the number is divisible by 3 but not odd'.

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