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1
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.
2
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
$$\exists x:\,glitters\,\left( x \right) \wedge \neg gold\left( x \right)$$
3
GATE CSE 2012
MCQ (Single Correct Answer)
+1
-0.3
The truth table GATE CSE 2012 Discrete Mathematics - Mathematical Logic Question 37 English

Represents the Boolean function

A
$$X$$
B
$$X+Y$$
C
$$X \oplus Y$$
D
$$Y$$
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
$$\exists x\left( {rational\left( x \right) \to real\left( x \right)} \right)$$
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GATE CSE Subjects
Theory of Computation
Undecidability Finite Automata and Regular Language Push Down Automata and Context Free Language Recursively Enumerable Language and Turing Machine
Operating Systems
Process Concepts and Cpu Scheduling Synchronization and Concurrency Deadlocks Memory Management File System IO and Protection
Algorithms
Complexity Analysis and Asymptotic Notations Searching and Sorting Divide and Conquer Method Greedy Method Dynamic Programming P and NP Concepts
Digital Logic
K Maps Boolean Algebra Combinational Circuits Number Systems Sequential Circuits
Database Management System
Structured Query Language Transactions and Concurrency Functional Dependencies and Normalization Relational Algebra File Structures and Indexing Er Diagrams
Data Structures
Trees Hashing Arrays Linked List Graphs Stacks and Queues
Computer Networks
Network Security Data Link Layer and Switching Application Layer Protocol Network Layer Routing Algorithm Concepts of Layering Lan Technologies and Wi-Fi TCP UDP Sockets and Congestion Control
Software Engineering
Software Engineering
Compiler Design
Lexical Analysis Parsing Syntax Directed Translation Code Generation and Optimization
Web Technologies
Web Technologies
General Aptitude
Numerical Ability Logical Reasoning Verbal Ability
Discrete Mathematics
Graph Theory Set Theory & Algebra Combinatorics Mathematical Logic Probability Linear Algebra Calculus
Programming Languages
Basic of Programming Language Function and Recursion Pointer and Structure in C
Computer Organization
Computer Arithmetic Memory Interfacing Machine Instructions and Addressing Modes IO Interface Pipelining Alu Data Path and Control Unit Secondary Memory
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