JEE Main 2021MathematicsMathematical ReasoningEasyMCQ

JEE Main 2021 — Mathematical Reasoning Question with Solution

JEE Main 2021 (27 Aug Shift 1)

Question

The statement (p∧(p→q)∧(q→r))→r is

Choose an option

Show full solutionCorrect option: A
Correct answer
A a tautology

Step-by-step explanation

Let f=(p∧(p→q)∧(q→r))

Make truth table,

rpqp→qq→rff→rTTTTTTTFTTTFFTTTFFTFTFTFFTFTTFTTTFTFFTTFFTTFFFTFTFFFFTFT

So, the answer is tautology.

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About this question

This is a previous-year question from JEE Main 2021, 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.