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Exercises · Q23

Q.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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Given: p: "25 is a multiple of 5" — this is True (25=5×525 = 5 \times 5).

q: "25 is a multiple of 8" — this is False (25 is not divisible by 8; 25/825/8 is not an integer).

"And" compound: "25 is a multiple of 5 and 25 is a multiple of 8."

Since "and" requires both components true, and q is false: T∧F=T \wedge F = False.

"Or" compound: "25 is a multiple of 5 or 25 is a multiple of 8." …

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