Module - 2

1. The contrapositive of the statement "If a shape is a square, then it has four equal sides" is:

A. If a shape is not a square, then it does not have four equal sides.
B. If a shape has four equal sides, then it is a square.
C. If a shape does not have four equal sides, then it is not a square.
D. If a shape is a square, then it has unequal sides.

2. A tautology is a compound proposition that is:

A. Always true
B. Always false
C. Either true or false
D. Neither true nor false

3. The truth value of a negation (NOT) in a truth table is true when:

A. The operand is true
B. The operand is false
C. The operand is unknown
D. The operand is both true and false

4.  The truth value of the proposition "p OR q" is true if:

A. Both p and q are true
B. Either p or q is true
C. Neither p nor q is true
D. Both p and q are false

5.  The statement "If it is raining, then the ground is wet" is an example of:

A. Conditional statement
B. Universal statement
C. Existential statement
D. None of the above

6.  If p is false and q is false then ~p ∧ ~q is:

A. TRUE
B. FALSE
C. Can't Say
D. Absurd

7.  The compound proposition "p AND q" is true only when:

A. Either p or q is true
B. Both p and q are true
C. Neither p nor q is true
D. None of the above

8.  The logical connective "IF-THEN" is also known as:

A. Conjunction
B. Disjunction
C. Negation
D. Implication

9.  The negation of a tautology is a:

A. Tautology
B. Contradiction
C. Contingency
D. None of the above

10.  The truth table for the proposition p AND q has how many rows?

A. 1
B. 2
C. 3
D. 4

11.  Which of the following is NOT a proposition?

A. "The sky is blue."
B. "What time is it?"
C. "2 + 2 = 4."
D. "I am hungry."

12.  The biconditional statement "p if and only if q" is equivalent to:

A. p → q
B. p ∧ q
C. p ∨ q
D. (p → q) ∧ (q → p)

13. The compound proposition "p AND (q OR r)" is:

A. Tautology
B. Contradiction
C. Contingency
D. None of the above

14.  A proposition is a statement that is:

A. Always true
B. Always false
C. Either true or false
D. Neither true nor false

15.  If the original implication is true, what can we say about the truth value of its contrapositive?

A. The contrapositive is always true.
B. The contrapositive is always false.
C. The truth value of the contrapositive depends on the original implication.
D. The truth value of the contrapositive cannot be determined.

16.  The statement "p OR (NOT p)" is an example of a:

A. Tautology
B. Contradiction
C. Contingency
D. None of the above

17.  A truth table is used to:

A. Determine the validity of a logical argument
B. Determine the truth value of a compound proposition
C. Determine the logical connectives in a proposition
D. Determine the inverse of a logical statement