JEE Main 2018MathematicsMathematical ReasoningEasyMCQ

JEE Main 2018 — Mathematical Reasoning Question with Solution

JEE Main 2018 (15 Apr)

Question

If p∧~q∧p∧r→~p∨q is false, then the truth values of p, q and r are respectively

Choose an option

Show full solutionCorrect option: C
Correct answer
CT, F, T

Step-by-step explanation

Recall p⇒q≡F  if and only if T⇒F≡F

So, p∧~q∧p∧r→~p∨q

Taking Option A : T∧F∧T∧T→F∨T

≡F∧T→T

≡F→T≡T

Hence, option A is false.

Taking Option B : F∧F∧F∧F→T∨T

≡F→T≡T

Hence, option B is false.

Taking Option C : T∧T∧T∧T→F∨F

≡T→F≡F

Hence, option C is correct.

Taking Option D : F∧T∧F∧F→T∨F

≡F∧F→T

≡F→T≡T

Hence, option D is false.

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About this question

This is a previous-year question from JEE Main 2018, 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.