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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