Q.Find the component statements of the following and check whether they are true or not.

Recall: for "and" ($p \wedge q$) the compound is true only when both components are true; for "or" ($p \vee q$) the compound is true when at least one component is true.

1. p: A square is a quadrilateral (True). q: Its four sides are equal (True). Connective: and. $T \wedge T =$ True.
2. p: All prime numbers are even (False — e.g., 3 is prime and odd). q: All prime numbers are odd (False — e.g., 2 is prime and even). Connective: or. $F \vee F =$ False.
3. p: A person who has taken Mathematics can go for MCA (True, by the eligibility rule assumed). q: A person who has taken Computer Science can go for MCA (True). Connective: or. $T \vee T =$ True. …

Identify each component statement, decide its individual truth value from known facts, then apply the truth rule of the connective: and = true only i …

• Applying the "and" rule to an "or" statement or vice versa. …