Quiz: QZ-20260504-08022

Quiz Details

QZ-20260504-08022

Topics:

MHTCET maths chapter logic

Difficulty: Level 3 - Medium

Questions: 5

Language: English (English)

Generated: May 04, 2026 at 01:01 PM

Generated by: Guest User

Instructions: Select an answer for each question and click "Check Answer" to see if you're correct. Then view the explanation to learn more!

1 If a statement is true, what can we say about its logical negation?

A) It is uncertain.

B) It is true in some cases.

C) It is false.

D) It is also true.

Correct Answer: C
Explanation: The logical negation of a true statement is always false.

2 Which of the following represents a tautology?

A) p AND q

B) p OR q

C) p OR NOT p

D) p AND NOT p

Correct Answer: C
Explanation: A tautology is a statement that is always true; 'p OR NOT p' is true regardless of the truth value of p.

3 What is the result of the logical expression (p AND q) OR (NOT p AND r) when p is true, q is false, and r is true?

A) None of the above

B) False

C) Undefined

D) True

Correct Answer: D
Explanation: Evaluating the expression: (true AND false) OR (false AND true) results in false OR false, which is false. Hence, the result is not correct.

4 Which of the following is a valid conclusion from the premises: If it rains, then the ground is wet. It is raining.

A) The ground is wet.

B) The ground is not wet.

C) It is not raining.

D) The ground is dry.

Correct Answer: A
Explanation: The conclusion follows directly from the premises using modus ponens: if the first part is true (it is raining), then the second part (the ground is wet) must also be true.

5 Which of the following logical connectors is used to represent 'if and only if'?

A) OR

B) AND

C) IFF

D) IMPLIES

Correct Answer: C
Explanation: 'IFF' stands for 'if and only if', indicating that both sides of the statement are true or both are false.

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