Logical Reasoning - SS2 Mathematics Past Questions and Answers - page 1
1
The contrapositive of a compound statement \(p \Rightarrow q\) is ______
A
\(\ q \Rightarrow p\ \)
B
\(\ \sim p \Rightarrow \sim q \ \)
C
\( \sim q\Rightarrow \sim p\ \)
D
\( p \Rightarrow q\ \)
Ask EduPadi AI for a Detailed Answer
2
The inverse of a compound statement \(p \Rightarrow q\) is __
A
\( q \Rightarrow p \)
B
\( \sim p \Rightarrow \sim q \)
C
\( \sim q \Rightarrow \sim p \)
D
\( p \Rightarrow q \)
Ask EduPadi AI for a Detailed Answer
3
The converse of a compound statement \(p \Rightarrow q\) is ___
A
\( q \Rightarrow p \)
B
\( \sim p \Rightarrow \sim q \)
C
\( \sim q \Rightarrow \sim p \)
D
\( p \Rightarrow q \)
Ask EduPadi AI for a Detailed Answer
4
Which is a logical equivalent to \(\sim q \Rightarrow \sim p\)?
A
\(q \Rightarrow p\)
B
\(\sim p \Rightarrow \sim q\)
C
\(\sim q \Rightarrow \sim p\)
D
\( p \Rightarrow q\)
Ask EduPadi AI for a Detailed Answer
5
A compound statement that is always true irrespective of the truth values of its sub statements is a __
A
contradiction
B
tautology
C
contrapositive
D
inverse
Ask EduPadi AI for a Detailed Answer
6
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:
-
\(p \land q\)
-
\(\sim(p \vee q)\)
-
\((p \land q) \Rightarrow r\)
-
\(r \Rightarrow (q \vee p)\)
Ask EduPadi AI for a Detailed Answer