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Consider the following propositions : ...

Consider the following propositions :
P : I take medicine , q : I can sleep
Then , the compound statement ` ~ p to ~ q` means

A

If I do not take medicine, then I cannot sleep

B

If I do not take medicine, then I can sleep

C

I take medicine iff can sleep

D

I take medicine if I can sleep

Text Solution

Verified by Experts

The correct Answer is:
A
we have,
~ p : I do not take medicine,
~ q : I cannnot sleep
` ~ q to ~ q` : if I do not take medicine , then cannot sleep.
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OBJECTIVE RD SHARMA-MATHEMATICAL REASONING -Section I - Solved Mcqs
  1. Let p and q be two propositions given by p : It is hot, q : He wants...

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  2. Let there be two propositions : p : I take only bread and butter in...

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  3. Consider the following propositions : P : I take medicine , q : I ca...

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  4. Consider the following propositions : p : To become on airfore office...

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  5. Conider the following is statements : p : A parallelogram is a rhomb...

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  6. Consider the following statements P : I have the raincoat q : I can ...

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  7. Which of the following is true for the propositions p and q ?

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  8. Consider the following propositions : P : It rains ,q : Then stree...

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  9. The logically equivalent proposition of p harr q is

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  10. ~ ( p vv q) vv ( ~ p ^^ q) is logically equivalent to

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  11. If the inverse of implication p to q is defined as ~ p to ~q , then...

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  12. Logical equivalent propostion to the proposition ~ ( p ^^ q) is

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  13. Which of the following is logically equivalent to ( p^q) ?

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  14. Let p and q be two propostions. Then , the contrapositive of the impli...

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  15. (~pvv~q) is logically equivalent to

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  16. The logically equivalent proposition of p harr q is

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  17. If p to q ( q vv r) is false, then the truth values of p,q,r are resp...

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  18. The compound statement p to ( ~ p ^^ q) is false, then the truth va...

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  19. The false statement in the following is

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  20. Which of the following is not a proposition ?

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