Find the component statement of the following compound statement , Check whether they true or false and write connecting word
(i) The sun is hot and the moon is cold
(ii) Mahatma Gandhi was born in Gujarat and he is the citizen of London
(iii) `sqrt8` is an irrational number or `3sqrt8` is a rational number
(iv) 11 is even or prime number
(v) Number of diagonals is a regular polygon is `(n(n-3))/2` or Triangle has three diagonals

Explanation

(i) Component statements are
p : The sun is hot. (True)
q : The moon is cold. (False)
connective is "AND"
(ii) Component statements are
p : Mahatma Gandhi was born in Gujarat (True)
q : He is the citizen of London (False)
Connective is "AND"
(iii) Component statement are
p : `sqrt8` is an irrational number (True)
q : `^3sqrt8` is a rational number (True)
Connective word is "OR"
(iv) Component statements are
p : 11 is even number (False)
q : 11 is prime number (True)
Connective word is "OR"
(v) Component statement are
p : Number of diagonals in a regular polygon is `(n(n-3))/2` . (True)
q : Triangle has three diagonals . (False)
Connective word is "OR"