JEE Main 2022 · 29 Jun · Shift 2 · Mathematics Q19

MathematicsSingle correct+4 / -1Question 19 of 90

Negation of the Boolean statement $(p\vee q)\Rightarrow((\sim r)\vee p)$ is equivalent to

p\wedge(\sim q)\wedge r

(\sim p)\wedge(\sim q)\wedge r

(\sim p)\wedge q\wedge r

p\wedge q\wedge(\sim r)

Answer and worked solution

Official answer: C

Negation. $(p\vee q)\wedge\sim(\sim r\vee p)=(p\vee q)\wedge r\wedge\sim p=(\sim p)\wedge q\wedge r$ .

(C)

Topics:Mathematical reasoning

JEE Main 2022 · 29 Jun · Shift 2, Mathematics question 19