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1
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
$$\exists x\left( {rational\left( x \right) \to real\left( x \right)} \right)$$
2
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
3
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
$$Y$$
4
GATE CSE 2008
MCQ (Single Correct Answer)
+1
-0.3
A set of Boolean connectives is functionally complete if all Boolean function can be synthesized using those, Which of the following sets of connectives is NOT functionally complete?
A
EX-NOR
B
implication, negation
C
OR, negation
D
NAND
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Questions Asked from Marks 1
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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