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The contrapositive of p to ( ~ q to ~ r...

The contrapositive of ` p to ( ~ q to ~ r) ` is

A

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

B

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

C

` p to ( ~ r vv q)`

D

` p ^^ ( q vv r)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
we know that dthe contrapositive of ` p to q " is " ~ q to ~ p` . Threrefore, contrapositive of `p to ( ~ q to ~ r) " is " ~ ( ~ q to ~ r) to ~ p `
` or , ( ~ q ^^ r) to ~ p `
[ `~ ( p to q) cong p ^^ ~ q `
` ~ ( ~ q to ~ r) cong ~ q ^^ r ` ]
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OBJECTIVE RD SHARMA ENGLISH-MATHEMATICAL REASONING -Section I - Solved Mcqs
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  2. The contrapositive of (pvvq) to r is

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  3. The contrapositive of p to ( ~ q to ~ r) is

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  4. The contrapositive of the statement "if 2^(2) =5 then I get first cla...

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  5. If x = 5 and y = -2 , then x -2y =9, the contrapositive of this propos...

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  6. The diagonals of a rhombus are perpendicular. The contrapositive of th...

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  7. Which of the following is wrong?

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  8. The symbolic form of logic of the circuit given below is : (RDSMATH...

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  9. Which of the following statements is a tautology ?

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  10. The statement p to(q to p) is equivalent to

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  11. Let S be non-empty subset of R. consider the following statement: P:...

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  12. Consider the following statements P: Suman is brilliant Q: Suman i...

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  13. The only statement among the following i.e. a tautology is

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  14. Let p and q be two statements. Amongst the following , the statement t...

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  15. The statement ~(pharr ~q) is

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

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  17. The Bolean Expression ( p ^^ ~ q) vv q vv ( ~ p ^^ q vv ( ~ p ^^ q) ...

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  18. Consider the following two statements: P : If 7 is an odd number, th...

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  19. The negation of A to (A vv ~ B) is

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  20. The following statement (p to q) to [(~p to q) to q] is

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