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Question

If p:Theearthisround,q:3+4=7 then ~p~q is


A

It is not that the earth is round or 3+4=7

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B

The earth is round and 3+4=7

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C

It is not that the earth is round or it is not that 3+4=7

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D

The earth is round or 3+4=7

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E

The earth is round or it is not that 3+4=7

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Solution

The correct option is C

It is not that the earth is round or it is not that 3+4=7


Explanation for the correct option

The given statement p implies that the earth is round then ~p implies that the earth is not round.

Similarly, the statement q implies that 3+4=7 then ~q implies that it is not that the 3+4=7.

The symbol stands for ‘or’.

Then, the statement ~p~q means it is not that the earth is round or it is not that 3+4=7.

Hence, the correct option is (C).


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