Q.42. The contrapositive of “If x and y are integers such that xy is odd, then both x and y are odd” is
A. If both x and y are odd integers, then xy is odd.
B. If both x and y are even integers, then xy is even.
C. If x or y is an odd integer, then xy is odd.
D. If both x and y are not odd integers, then the product xy is not odd.
Answer: D. If both x and y are not odd integers, then the product xy is not odd.
Explanation :-
Let p : x and y are integers such that xy is odd.
q : both x and y are odd.
Given statement is p → q
Its contrapositive is ¬q → ¬p