Home
Class 12
MATHS
The negation of qvv(p^^r) is-----...

The negation of `qvv(p^^r)` is-----

A

`~q^^(-p^^-r)`

B

`~q^^(p^^r)`

C

`~qvv(p^^r)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Contrapositive of `p to q` is `~q to ~p`
Therefore, contrapositive of `(pvvq) to r` is
`~rto ~(pvvq)`
`-=~r to (~p ^^~q)`
Promotional Banner

Topper's Solved these Questions

  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise Archives|10 Videos

  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise concept application|13 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise JEE ADVANCED|1 Videos

  • MATRICES

    CENGAGE PUBLICATION|Exercise All Questions|509 Videos

Similar Questions

Explore conceptually related problems

The negation of ~svv(~r^^s)

The negation of ~svv(~r^^s) is equivalent to

The negation of ~svee(~rwedges) is equivalent to

The negation of the statements p is denoted by -

Consider the statements p , q and r Statement - I : Negation of statement p^^(qvvr) " is " ~pvv(~q^^~r) Statement - II : Negation of pvvq" is "(~p)^^(~q), and " negation of "p ^^q " is " (~p)vv(~q)

p : The sum of 5 and 7 is 11 . The negation of the given statement is -

Write the following implications (p implies q) in the form (~P vee q) and hence write the negation of it. "If it rains, the humidity increases"

Consider the following statements P: Suman is brilliant Q: Suman is rich R: Suman is honest The negation of the statement "Suman is brilliant and dishonest if and only if Suman is rich" can be expressed as

Consider the following statements P : suman is brilliant, Q: suman is rich R: Suman is honest The negation of the statement ''Suman is brilliant and dishonest if and only if Suman is rich'' can be expressed as

If S be a non - empty subset of R. Consider the following statement p . There is a rational number x in S such that x gt 0 .Write the negation of the statement p.