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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

AI Generated Solution

The correct Answer is:
To solve the question, we need to interpret the logical implication \( p \to q \) where: - \( p \): It is hot - \( q \): He wants water ### Step-by-Step Solution: 1. **Understanding the Implication**: The expression \( p \to q \) (read as "p implies q" or "if p then q") is a conditional statement. It indicates a relationship between the two propositions \( p \) and \( q \). 2. **Formulating the Conditional Statement**: The verbal meaning of \( p \to q \) can be expressed as: "If it is hot (p), then he wants water (q)." 3. **Identifying the Components**: - The antecedent (the "if" part) is \( p \): "It is hot." - The consequent (the "then" part) is \( q \): "He wants water." 4. **Constructing the Final Statement**: Therefore, the verbal meaning of the implication \( p \to q \) is: "If it is hot, then he wants water." ### Conclusion: The verbal meaning of \( p \to q \) is "If it is hot, then he wants water."

To solve the question, we need to interpret the logical implication \( p \to q \) where: - \( p \): It is hot - \( q \): He wants water ### Step-by-Step Solution: 1. **Understanding the Implication**: ...
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OBJECTIVE RD SHARMA ENGLISH-MATHEMATICAL REASONING -Section I - Solved Mcqs
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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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  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 equvalent proposition of p harr q is

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  12. Using truth table show that - (p vv q) vv (~ p ^^ q ) is logically eq...

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  13. The inverse of the proposition (p^^~q) to r is

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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. Write the contrapositive of the contrapositive of p implies q.

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  17. The expression ~(~p rarr 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 (qvvr) is false, then the truth values of p,q, and r are, res...

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

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