NCERT Class XI Mathematics - Mathematical Reasoning - Solutions
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Question : 23
Total: 25
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.
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.
Solution:
The compound statement with “And” is 25 is a multiple of 5 and 8.
Since p is true and q is false, so the compound statement with “And” is not true.
Thus, the statement “p and q” is not valid.
Now the compound statement with “Or” is 25 is a multiple of 5 or 8.
Since p is true and q is false, so the compound statement with “Or” is true.
Thus, the statement “p Or q” is valid.
Since p is true and q is false, so the compound statement with “And” is not true.
Thus, the statement “p and q” is not valid.
Now the compound statement with “Or” is 25 is a multiple of 5 or 8.
Since p is true and q is false, so the compound statement with “Or” is true.
Thus, the statement “p Or q” is valid.
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