Home
Class 12
MATHS
An equivalent expression for (pimplies q...

``An equivalent expression for `(pimplies q ^^ r) vv (r hArr s)` which contains neither the biconditional nor the conditional is``

A

`(~p vv q ^^ r) ^^ [(~r vv s )^^ (r vv ~s)]`

B

`(~p ^^ q ^^ r) vv [(~r vv s) ^^ (r vv ~s)]`

C

`(~p vv q ^^ r ) ^^ [(~r vv s) vv (r vv ~s)]`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MOCK TEST 1

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

  • MOCK TEST 3

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

Similar Questions

Explore conceptually related problems

The negation of q vv ~ ( p ^^ r) is

The Boolean expression ~ (p vv q) vv (~p ^^ q) is equivalent to-

Knowledge Check

  • The logically equivalent statement of (p ^^ q) vv ( p ^^r) is

    A
    `p vv ( q ^^ r)`
    B
    `q vv (p ^^ r)`
    C
    `p ^^ (q vv r)`
    D
    `q ^^ (p vv r)`

  • Negation of (~p ^^~ q) vv (~p vv r) is

    A
    `(p vv q) ^^ (p ^^ ~r)`
    B
    `(p ^^ q) vv (p ^^ ~r)`
    C
    `(p ^^ q) ^^ (p ^^ ~r)`
    D
    `(p vv q) vv (p ^^ ~r)`

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

    A
    `p ^^ q`
    B
    `p vv q`
    C
    `p vv ~q`
    D
    `~p ^^ q`

    • Similar Questions

    Explore conceptually related problems

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

    The boolean expression ((p ^^ q) vv (p∨ ~ q)) ^^ (~ p vv q) is equivalent to

    If (p ^^ ~q) vv (q ^^r) is true and q and r both true then p is-

    If the boolean expression ((p ^^ q) vv r) implies (p ^^ r) is false, then which of the following cannot represent ordered truth values of (p,q,r) ?

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

    Home
    Profile