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NCERT Class XI Mathematics - Mathematical Reasoning - Solutions
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Question : 5 of 25
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Find the component statements of the following compound statements and check whether they are true or false. (i) Number 3 is prime or it is odd. (ii) All integers are positive or negative. (iii) 100 is divisible by 3, 11 and 5.
Solution:
(i) The component statements are: p : Number 3 is prime q : Number 3 is odd. Both the component statements p and q are true. (ii) The component statements are: p : All integers are positive. q : All integers are negative. Both the component statements p and q are false. (iii) The component statements are: p : 100 is divisible by 3. q : 100 is divisible by 11. r : 100 is divisible by 5. The component statements p and q are false whereas r is true.
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