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Question

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

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Solution

(i) The component statements are as follows
p : Number 3 is prime
q : Number 3 is odd
Both the statements are true
(ii) The component statements are as follows
p : All integers are positive
q : All integers are negative
Both the statements are false
(iii) The component statements are as follows
p :100 is divisible by 3
q : 100 is divisible by 11
r : 100 is divisible by 5
Here the statements p and q are false and statement r is true

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