1

GATE CSE 2014 Set 3

Numerical

+2

-0

There are two elements $$x, y$$ in a group $$\left( {G,\, * } \right)$$ such that every elements in the group can be written as a product of some number of $$x's$$ and $$y's$$ in some order. It is known that

$$x * x = y * y = x * y * x * y = y * x * y * x = e$$

where $$e$$ is the identity element. The maximum number of elements in such a group is ______.

$$x * x = y * y = x * y * x * y = y * x * y * x = e$$

where $$e$$ is the identity element. The maximum number of elements in such a group is ______.

Your input ____

2

GATE CSE 2014 Set 2

MCQ (Single Correct Answer)

+2

-0.6

Consider the following relation on subsets of the set S integers between 1 and 2014. For two distinct subsets U and V of S we say U < V if the minimum element in the symmetric difference of the two setss is in U.

Consider the following two statements:

S1 There is a subset of S that is larger than every other subset.

Which one of the following is CORRECT?

3

GATE CSE 2012

MCQ (Single Correct Answer)

+2

-0.6

How many onto (or subjective) functions are there form an n-element $$(n\, \ge \,2)$$ set to a 2-element set ?

4

GATE CSE 2009

MCQ (Single Correct Answer)

+2

-0.6

For the compositive table of a cyclic group shown below

Which one of the following choices is correct?

Questions Asked from Set Theory & Algebra (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE CSE 2024 Set 2 (1)
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Theory of Computation

Operating Systems

Algorithms

Database Management System

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Software Engineering

Compiler Design

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General Aptitude

Discrete Mathematics

Programming Languages