MHT CET 2024 Mathematics question

Not in JEE syllabus

Contrapositive of the statement. 'If two numbers are equal, then their squares are equal' is

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

Answer: (C)

Solution

For a conditional statement the contrapositive is and it is logically equivalent to the original. Here : "two numbers are equal" and : "their squares are equal". So : "the squares are not equal" and : "the numbers are

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Question ID VK-098970