Given below are two statements p : 25 is a multiple of 5. q: 25 is a multiple of 8. Write the compound statements connecting these two statements with “And” and “Or”. In both cases check the validity of the compound statement.

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Solution

The given statements are:

p: 25 is a multiple of 5.

q: 25 is a multiple of 8.

The compound statement connecting the given two statements with “And” is: 25 is a multiple of 5 and 8.

Since 25 is not a multiple of 8, therefore the above statement is not valid.

The compound statement connecting the given two statements with “Or” is: 25 is a multiple of 5 or 8.

Since 25 is not a multiple of 8 but it is a multiple of 5, therefore the above statement is valid.

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