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1
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
$$\exists x:\,glitters\,\left( x \right) \wedge \neg gold\left( x \right)$$
2
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
$$\exists x\left( {rational\left( x \right) \to real\left( x \right)} \right)$$
3
GATE CSE 2012
MCQ (Single Correct Answer)
+1
-0.3
Consider the following logical inferences.
$${{\rm I}_1}:$$ If it rains then the cricket match will not be played. The cricket match was played.
Inference: there was no rain.

$${{\rm I}_2}:$$ If it rains then the cricket match will not be played. It did not rain
Inference:the cricket match was played. which of the following is TRUE?

A
Both $${{\rm I}_1}$$ and $${{\rm I}_2}$$ are correct inferences
B
$${{\rm I}_1}$$ is correct but $${{\rm I}_2}:$$ is not a correct inference
C
$${{\rm I}_1}$$ is not correct but $${{\rm I}_2}$$ is a correct inference
D
Both $${{\rm I}_1}$$ and $${{\rm I}_2}$$ are not correct inferences
4
GATE CSE 2012
MCQ (Single Correct Answer)
+1
-0.3
The truth table GATE CSE 2012 Discrete Mathematics - Mathematical Logic Question 42 English

Represents the Boolean function

A
$$X$$
B
$$X+Y$$
C
$$X \oplus Y$$
D
$$Y$$
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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