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The contrapositive of the statement "if...

The contrapositive of the statement ` "if 2^(2) =5` then I get first class is

A

if I do not get a first class, then ` 2^(2) =5`

B

if I do not get a first class , then ` 2^(2) ne 5`

C

If I get first class, then `2^(2) =5`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B

Let p and q be two propositions by
` p : 2^(2) =5`, q : I get first class
The given statement is `p to q`
The contrapositive of this statement is ` ~ q to ~ p`
i.e. If I do not get first class, then `2^(2) ne 5`
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OBJECTIVE RD SHARMA-MATHEMATICAL REASONING -Section I - Solved Mcqs
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  2. The contrapositive of p to ( ~ q to ~ r) is

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

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

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

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  6. Which of the following is wrong?

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

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  8. Which of the following statements is a tautology ?

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

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

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

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

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

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  14. The statement ~(p harr ~q) is

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

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

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  17. Consider the following statements. p : if 7 is an odd number , then ...

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

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

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  20. Which of the following is a tautology ?

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