If q is false and (p^^q)harr r is also t...

If `q` is false and `(p^^q)`harr r` is also true then which of the following are tautology (A) `(pvvr)-gt(p^^r)` (B) `(pvvr)` (C) `(p^^r)-gt(pvvr)` (D) `p^^r`

A

`p wedge r `

B

`p vv r`

C

`(pvvr) to (p wedge r)`

D

`(p wedge r) to (p vv r)`

Verified by Experts

The correct Answer is:

D

As q is false and `p wedge q harr r ` is true .
`rArr p wedge q` is false and r is false .
Consider truth table

Hence `(p wedge r) to p vv r ) ` is tautology.

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