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JEE PYQ: Mathematical Reasoning Question 40

Question 40 - 2019 (11 Jan Shift 2)

Contrapositive of the statement “If two numbers are not equal, then their squares are not equal” is:

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

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

(3) If the squares of two numbers are equal, then the numbers are equal.

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

Type: MCQ

Show Answer

Answer: (3)

Solution

Contrapositive of “If $A$ then $B$” is “If $\sim B$ then $\sim A$”. Hence: “If squares of two numbers are equal, then the two numbers are equal.”


Learning Progress: Step 40 of 42 in this series