Find the component statements of the following compound statements and check whether they are true or false.

(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.

(i) The component statements are 

p : number 3 is prime 

q : number 3 is odd 

Both p and q are true 

(ii) The component statements are 

p : all integers are positive 

q : all integers are negative 

Both p and q are false 

(iii) The component statements are 

p : 100 is divisible by 3 (false) 

q : 100 is divisible by 11 (false) 

r : 100 is divisible by 5 (true) 

(iv) The component statements are 

p : a square is a quadrilateral 

q : a square has all its sides equal 

Both p and q are true 

(v) The component statements are 

p : all prime numbers are even 

q : all prime numbers are odd 

Both p and q are false 

(vi) The component statements are 

p : Chandigarh is the capital of Haryana (True) 

q : Chandigarh is the capital of U.P.(False) 

(vii) The component statements are 

p : 24 is a multiple of 2 (True) 

q : 24 is a multiple of 4 (True) 

r : 24 is a multiple of 8 (True)