ExamSIDE
Questions (Powered by ExamGOAL)
Discrete Mathematics
Set Theory & Algebra
Marks 1Marks 2Marks 5
Linear Algebra
Marks 1Marks 2
Graph Theory
Marks 1Marks 2Marks 5
Combinatorics
Marks 1Marks 2
Mathematical Logic
Marks 1Marks 2Marks 5
Probability
Marks 1Marks 2
Calculus
Marks 1Marks 2Marks 5
Previous Next
1
GATE CSE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Consider the following two statements.

$$S1:$$ If a candidate is known to be corrupt, then he will not be elected
$$S2:$$ If a candidate is kind, he will be elected

Which one of the following statements follows from $$S1$$ and $$S2$$ as per sound inference rules of logic?

A
If a person is known to be corrupt, he is kind
B
If a person is not known to be corrupt, he is not kind
C
If a person is kind, he is not known to be corrupt
D
If a person is not kind, he is not known to be corrupt
2
GATE CSE 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
Consider the following statements:
P: Good mobile phones are not cheap
Q: Cheap mobile phones are not good
L: P implies Q
M: Q implies P
N: P is equivalent to Q

Which of the following about L, M, and N is Correct?

A
Only L is TRUE.
B
Only M is TRUE.
C
Only N is TRUE.
D
L, M and N are TRUE.
3
GATE CSE 2014 Set 1
MCQ (Single Correct Answer)
+1
-0.3
Consider the statement
"Not all that glitters is gold"
Predicate glitters$$(x)$$ is true if $$x$$ glitters and
predicate gold$$(x)$$ is true if $$x$$ is gold.

Which one of the following logical formulae represents the above statement?

A
$$\forall x:\,glitters\,\left( x \right) \Rightarrow \neg gold\left( x \right)$$
B
$$\forall x:\,gold\left( x \right) \Rightarrow glitters\left( x \right)$$ v
C
$$\exists x:\,gold\left( x \right) \wedge \neg glitters\left( x \right)$$
D
$$\exists x:\,glitters\,\left( x \right) \wedge \neg gold\left( x \right)$$
4
GATE CSE 2012
MCQ (Single Correct Answer)
+1
-0.3
What is the correct translation of the following statement into mathematical logic? "Some real numbers are rational"
A
$$\exists x\left( {real\left( x \right) \vee rational\left( x \right)} \right)$$
B
$$\forall x\left( {real\left( x \right) \to rational\left( x \right)} \right)$$
C
$$\exists x\left( {real\left( x \right) \wedge rational\left( x \right)} \right)$$
D
$$\exists x\left( {rational\left( x \right) \to real\left( x \right)} \right)$$
Previous Next
Questions Asked from Marks 1
GATE CSE 2025 Set 2 (1) GATE CSE 2024 Set 2 (1) GATE CSE 2023 (1) GATE CSE 2021 Set 2 (1) GATE CSE 2021 Set 1 (1) GATE CSE 2017 Set 1 (2) GATE CSE 2016 Set 2 (1) GATE CSE 2016 Set 1 (1) GATE CSE 2015 Set 3 (1) GATE CSE 2015 Set 2 (1) GATE CSE 2014 Set 3 (1) GATE CSE 2014 Set 1 (1) GATE CSE 2012 (3) GATE CSE 2008 (1) GATE CSE 2004 (2) GATE CSE 2002 (1) GATE CSE 2001 (1) GATE CSE 1998 (1) GATE CSE 1993 (1) GATE CSE 1992 (1)
GATE CSE Subjects
Theory of Computation
Operating Systems
Algorithms
Digital Logic
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages
Computer Organization