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

Open MARKS Web Download App

Search any question & find its solution

Question: Answered & Verified by Expert

The negation of the Boolean expression

p \lor (~ p \land q)

is equivalent to :

MathematicsMathematical ReasoningJEE MainJEE Main 2020 (06 Sep Shift 1)

Options:

A $p \land ~ q$
B $~ p \land ~ q$
C $~ p \lor ~ q$
D $~ p \lor q$

Solution:

1356 Upvotes Verified Answer

The correct answer is:

~ p \land ~ q

Given statement is

p \lor (q \land ~ p)

∴

Negation is

~ (p \lor (q \land ~ p))

= (~ p \land ~ q) \lor (~ p \land p)

= (~ p \land ~ q) \lor c

= ~ p \land ~ q

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.

Use on iOS or Desktop Download from Google Play