Q. 34.3( 12 Votes )

Find the componen

Answer :

(i) The component statements are:-


p: Number 3 is prime.


q: It is odd.


The connecting word is 'Or'


We know that number 3 is prime


Hence p is true


We know that number 3 is odd


Hence q is true.


(ii) The component statements are:-


p: All integers are positive.


q: All integers are negative.


The connecting word is 'Or'


Since all integers are not positive


Hence p is false


Since all integers are not negative


Hence q is 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 connecting word is 'and'


Since, p is false, because 100 is not divisible by 3


q is false, because 100 is not divisible by 11


r is true, because 100 is divisible by 5


Hence p & q are false & r is true.


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