MHT CET202312 May 2023Morning ShiftMathematicsMathematical ReasoningActual
The contrapositive of "If x and y are integers such that x y is odd, then both x and y are odd" is
Options
- AIf both x and y are odd integers, then x y is odd.
- BIf both x and y are even integers, then x y is even.
- CIf x or y is an odd integer, then x y is odd.
- DIf both x and y are not odd integers, then the product x y is not odd.
Correct answer
D. If both x and y are not odd integers, then the product x y is not odd.
Step-by-step solution
Let p : x and y are integers such that x y is odd. q : both x and y are odd. Given statement is p q Its contrapositive is q p Option (D) is correct.