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Question

If p:7is not greater than 4 and q:Paris is in France, are two statements. Then, ~(pq) is the statement :


A

7 is greater than 4 or Paris is not in France

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B

7 is not greater than 4 and Paris is not in France

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C

7 is greater than 4 and Paris is in France

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D

7is not greater than 4 or Paris is not in France

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E

7 is greater than 4 and Paris is not in France

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Solution

The correct option is B

7 is not greater than 4 and Paris is not in France


Explanation for the correct option.

Given p:7is not greater than 4.

We know that, ~(pq)=~p~q

Clearly, the above statement is false as 7 is always greater than 4.

q:Paris is in France.

Then, ~q means Paris is not in France.

p: 7 is not greater than 4

Then, ~p Paris is not in France.

Therefore,~(pq) means 7 is not greater than 4 and Paris is not in France.

Hence, option B is correct.


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