MHT CET 2024 Mathematics question

Not in JEE syllabus

Contrapositive of the statement 'If two numbers are not equal, then their squares are not equal', is

(A)If the squares of two numbers are not equal, then the numbers are equal.
(B)If the squares of two numbers are equal, then the numbers are not equal.
(C)If the squares of two numbers are equal, then the numbers are equal.Correct
(D)If the squares of two numbers are not equal, then the numbers are not equal.

Answer: (C)

Solution

Let : "two numbers are not equal" and : "their squares are not equal". The statement is , and its contrapositive is . Here : "the squares of the two numbers are equal" and : "the numbers are equal". So the contrapositive is "If the

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Question ID VK-096709