Home
Class 12
MATHS
The contrapositive of (pvvq) to r is...

The contrapositive of `(pvvq) to r` is

A

`r to (pvvq)`

B

`~r to (pvvq)`

C

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

D

`p to (qvvr)`

Text Solution

Verified by Experts

The correct Answer is:
C
`p to q` is false only when p is true and q is false
Therefore, `p to q` is `~ q to ~p`
Therefore, contrapositive of `(pvvq) to r` is
`~r to ~(pvvq)`
`-=~ rto (~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 contrapositive of inverse of p to ~ q is

Write down the contrapositive of the following " if ………., then ……" implications : It never rains when it is cold.

Write down the contrapositive of the following " if ………., then ……" implications : If x+1=7, " then " x=6

Write down the contrapositive of the following " if ………., then ……" implications : If a is prime number , then a is odd .

Write down the contrapositive of the following " if ………., then ……" implications : If a numbers is divisible by 8 , then it is divisible by 4 .

Write down the contrapositive of the following " if ………., then ……" implications : If N is an even number , then N is divisible by 4 .

Write down the contrapositive of the following " if ………., then ……" implications : If x is an integer and x^(2) is even then x is even .

Write down the contrapositive of the following " if ………., then ……" implications : If the diagonals of a quadrilateral bisect each other , then the quadrilateral is a parallelgram.

The contrapositives of few conditional statements are given below , find the conditional statements : If xne5 , " then " x+4ne9 .

Write down the contrapositive of the following " if ………., then ……" implications : If triangle ABC is isosceles , then the base angles B and C are equal .