Home
Class 12
MATHS
The statement (~p ^^ q) vv ~ q is equiva...

The statement `(~p ^^ q) vv ~ q` is equivalent

A

`p vv q`

B

`p ^^ q`

C

`~(p vv q)`

D

`~(p ^^ q)`

Text Solution

Verified by Experts

The correct Answer is:
D
`(~p ^^ q) vv ~q -= ~q vv (~ p ^^ q)` [by commutative law]
`-= ~q vv (q ^^ ~p)` [by commutative law]
`-= ~q vv q ^^ (~q vv ~p)` [by distributive law]
`-= ~(q ^^ p)`
`-= ~ (p ^^ q) " " [therefore a vv a' = 0]`
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL LOGIC

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise PRACTICE EXERCISE (Exercies 2 (MISCELLANEOUS PROBLEMS))|26 Videos

  • MATHEMATICAL LOGIC

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|22 Videos

  • Linear Programming

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|13 Videos

  • MATRICES

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET CORNER|18 Videos

Similar Questions

Explore conceptually related problems

(p ^^ q) vv ~ p is equivalent to

The statement p vv q is

The statement sim(sim p rarr q) is equivalent to (A)p vv sim q(B)sim p^^q(C)sim p^^sim q(D)sim p vv q

~(pvvq)vv(~p^^q) is equivalent to

The negation of the statement q vv(p^^sim r) is equivalent to

The Boolean Expression (p ^^ ~q) vv q vv (~p ^^ q) is equivalent to:

The statement (p rarr q)vv(q rarr p) is

The compound statement (P vv Q) ^^ (~P) rArr Q is equivalent to

The Bolean Expression ( p ^^ ~ q) vv q vv ( ~ p ^^ q vv ( ~ p ^^ q) is equivalent to