JEE Main 2017 · 9 Apr · Shift 1 · Mathematics Q90

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MathematicsSingle correct+4 / -1Question 90 of 90

Contrapositive of the statement

'If two numbers are not equal, then their squares are not equal', is :

If the squares of two numbers are equal, then the numbers are equal.

If the squares of two numbers are equal, then the numbers are not equal.

If the squares of two numbers are not equal, then the numbers are not equal.

If the squares of two numbers are not equal, then the numbers are equal.

Answer and worked solution

Official answer: A

The statement is $\sim p\to\sim q$ , where p is "the numbers are equal" and q is "their squares are equal". Its contrapositive is $q\to p$ : if the squares of two numbers are equal, then the numbers are equal.

Topics:Mathematical reasoning

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JEE Main 2017 · 9 Apr · Shift 1, Mathematics question 90