MHT CET 2023 Mathematics question

Not in JEE syllabus

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 odd integers, then xy is odd
(D)If both x and y are not odd integers, then the product xy is not oddCorrect

Answer: (D)

Solution

Let : "xy is odd" and : "both x and y are odd". The contrapositive of is , i.e. "if it is not the case that both are odd (that is, they are not odd), then xy is not odd". Among the options, (d) is the one of this form: "not odd" in the hypothesis leads

See the full step-by-step solution

Create a free account to read the complete working, and practise questions like this in a timed test.

Create a free account

Question ID VK-097496