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Question

Ifp: 2 plus 3 is five andq: Delhi is the capital of India <are two statements, then the statement “Delhi is the capital of India and it is not that 2 plus 3 is five” is


A

~pq

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B

~pq

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C

p~q

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D

p~q

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E

~p~q

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Solution

The correct option is B

~pq


Explanation for the correct option.

Given information p: 2 plus 3 is five.

q:Delhi is the capital of India.

Logical statement: Any statement that infers a new fact about something mathematical from given information is a logical statement.

Here, the statement “Delhi is the capital of India and it is not that2 plus 3 is five” is a logical statement hence ~pq is true.

Therefore, option B is correct.


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