JEE Main 2020MathematicsMathematical ReasoningEasyMCQ

JEE Main 2020 — Mathematical Reasoning Question with Solution

JEE Main 2020 (06 Sep Shift 1)

Question

The negation of the Boolean expression  p∨(~p∧q) is equivalent to :
 

Choose an option

Show full solutionCorrect option: B
Correct answer
B~p∧~q

Step-by-step explanation

Given statement is p∨(q∧~p)
∴ Negation is ~(p∨(q∧~p))
=(~p∧~q)∨(~p∧p)
=(~p∧~q)∨c
=~p∧~q

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About this question

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.