Logical Reasoning - SS2 Mathematics Past Questions and Answers - page 1

The contrapositive of a compound statement \(p \Rightarrow q\) is ______

The inverse of a compound statement \(p \Rightarrow q\) is __

The converse of a compound statement \(p \Rightarrow q\) is ___

Which is a logical equivalent to \(\sim q \Rightarrow \sim p\)?

A compound statement that is always true irrespective of the truth values of its sub statements is a __

Given:

\[p:He\ is\ very\ hard\ working\]

\[q:He\ is\ very\ intelligent\]

\[r:He\ will\ succeed\]

Give a verb statement that describes each of the following:

1. \(p \land q\)

2. \(\sim(p \vee q)\)

3. \((p \land q) \Rightarrow r\)

4. \(r \Rightarrow (q \vee p)\)