JEE Main 2020 — Mathematical Reasoning Question with Solution
From: JEE Main 2020 (Online) 7th January Evening Slot
Question
Let A, B, C and D be four non-empty sets. The contrapositive statement of "If A B and B D,
then A C" is :
Choose an option
Show full solutionCorrect option: A
Correct answer
AIf A ⊈ C, then A ⊈ B or B ⊈ D
Step-by-step explanation
Contrapositive of p q is ~q ~p
If A B and B D, then A C means
(A B) (B D) (A C)
Contrapositive is
(A C) (A B) (B D)
A ⊈ C (A ⊈ B) (B ⊈ D)
If A B and B D, then A C means
(A B) (B D) (A C)
Contrapositive is
(A C) (A B) (B D)
A ⊈ C (A ⊈ B) (B ⊈ D)
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This is a previous-year question from JEE Main 2020, covering the Mathematical Reasoning chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.