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Let p and q be two propositions given by...

Let p and q be two propositions given by
p : It is hot, q : He wants water
Then the vebal meaning of `p to q` is

A

It is hot or he wants water

B

It is hot and he wants water.

C

If is is hot , then he wants water.

D

If and only if it is hot, he wants water.

Text Solution

Verified by Experts

The correct Answer is:
C
Clearly,
` p to q` : if it is hot, then he wants water.
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OBJECTIVE RD SHARMA-MATHEMATICAL REASONING -Section I - Solved Mcqs
  1. Let p and q be two propositions given by p: The sky is blue, q :milk...

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  2. Let p and q be two propositions given by p : I play cricket during ...

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  3. Let p and q be two propositions given by p : It is hot, q : He wants...

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

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

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

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

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

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

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

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  11. The logically equivalent proposition of p harr q is

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

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

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

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

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

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

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  18. The logically equivalent proposition of p harr q is

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

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

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