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Test: Discrete Mathematics - 1 - Computer Science Engineering (CSE) MCQ


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10 Questions MCQ Test GATE Computer Science Engineering(CSE) 2025 Mock Test Series - Test: Discrete Mathematics - 1

Test: Discrete Mathematics - 1 for Computer Science Engineering (CSE) 2024 is part of GATE Computer Science Engineering(CSE) 2025 Mock Test Series preparation. The Test: Discrete Mathematics - 1 questions and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus.The Test: Discrete Mathematics - 1 MCQs are made for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Discrete Mathematics - 1 below.
Solutions of Test: Discrete Mathematics - 1 questions in English are available as part of our GATE Computer Science Engineering(CSE) 2025 Mock Test Series for Computer Science Engineering (CSE) & Test: Discrete Mathematics - 1 solutions in Hindi for GATE Computer Science Engineering(CSE) 2025 Mock Test Series course. Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free. Attempt Test: Discrete Mathematics - 1 | 10 questions in 30 minutes | Mock test for Computer Science Engineering (CSE) preparation | Free important questions MCQ to study GATE Computer Science Engineering(CSE) 2025 Mock Test Series for Computer Science Engineering (CSE) Exam | Download free PDF with solutions
Test: Discrete Mathematics - 1 - Question 1

Which of the following statement is a proposition?

Detailed Solution for Test: Discrete Mathematics - 1 - Question 1

Only this statement has got the truth value which is false.

Test: Discrete Mathematics - 1 - Question 2

Which of the following option is true?

Detailed Solution for Test: Discrete Mathematics - 1 - Question 2

Hypothesis is false, thus the whole statement is true.

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Test: Discrete Mathematics - 1 - Question 3

Let P: I am in Bangalore.; Q: I love cricket.; then q -> p(q implies p) is?

Detailed Solution for Test: Discrete Mathematics - 1 - Question 3

Q is hypothesis and P is conclusion. So the compound statement will be if hypothesis then conclusion.

Test: Discrete Mathematics - 1 - Question 4

Let P: I am in Delhi.; Q: Delhi is clean.; then q ^ p(q and p) is?

Detailed Solution for Test: Discrete Mathematics - 1 - Question 4

Connector should be ‘and’, that is q and p.

Test: Discrete Mathematics - 1 - Question 5

Let
P: We should be honest.,
Q: We should be dedicated.,
R: We should be overconfident.
Then
‘We should be honest or dedicated but not overconfident.’ is best represented by?

Detailed Solution for Test: Discrete Mathematics - 1 - Question 5

The third part of the statement is negated, hence negation operator is used, for (‘or’ –V) is used and for(’but’- ∧).

Test: Discrete Mathematics - 1 - Question 6

The compound propositions p and q are called logically equivalent if ________ is a tautology.

Detailed Solution for Test: Discrete Mathematics - 1 - Question 6

Definition of logical equivalence.

Test: Discrete Mathematics - 1 - Question 7

p ∨ q is logically equivalent to ________

Detailed Solution for Test: Discrete Mathematics - 1 - Question 7

(p ∨ q) ↔ (¬p → q) is tautology.

Test: Discrete Mathematics - 1 - Question 8

p ∧ q is logically equivalent to ________

Detailed Solution for Test: Discrete Mathematics - 1 - Question 8

(p ∧ q) ↔ (¬(p → ¬q)) is tautology.

Test: Discrete Mathematics - 1 - Question 9

p ↔ q is logically equivalent to ________

Detailed Solution for Test: Discrete Mathematics - 1 - Question 9

(p ↔ q) ↔ ((p → q) ∧ (q → p)) is tautology.

Test: Discrete Mathematics - 1 - Question 10

¬ (p ↔ q) is logically equivalent to

Detailed Solution for Test: Discrete Mathematics - 1 - Question 10

(¬ (p ↔ q)) ↔ (p ↔ ¬q) is tautology.

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