1
GATE CSE 2024 Set 1
Numerical
+1
-0.33
Let $A$ and $B$ be non-empty finite sets such that there exist one-to-one and onto functions (i) from $A$ to $B$ and (ii) from $A \times A$ to $A \cup B$. The number of possible values of $|A|$ is _______
Your input ____
2
GATE CSE 2020
Numerical
+1
-0.33
Let G be a group of 35 elements. Then the largest possible size of a subgroup of G other than G itself is ______.
Your input ____
3
GATE CSE 2020
Numerical
+1
-0.33
Let R be the set of all binary relations on the set {1,2,3}. Suppose a relation is chosen from R at random. The probability that the chosen relation is reflexive (round off to 3 decimal places) is _____.
Your input ____
4
GATE CSE 2019
MCQ (Single Correct Answer)
+1
-0.33
Let G be an arbitrary group. Consider the following relations on G :
R1: ∀a,b ∈ G, aR1b if and only if ∃g ∈ G such that a = g-1bg
R2: ∀a,b ∈ G, aR2b if and only if a = b-1
Which of the above is/are equivalence relation/relations?
R1: ∀a,b ∈ G, aR1b if and only if ∃g ∈ G such that a = g-1bg
R2: ∀a,b ∈ G, aR2b if and only if a = b-1
Which of the above is/are equivalence relation/relations?
Questions Asked from Set Theory & Algebra (Marks 1)
Number in Brackets after Paper Indicates No. of Questions
GATE CSE 2024 Set 2 (1)
GATE CSE 2024 Set 1 (1)
GATE CSE 2020 (2)
GATE CSE 2019 (2)
GATE CSE 2015 Set 1 (1)
GATE CSE 2015 Set 2 (2)
GATE CSE 2015 Set 3 (1)
GATE CSE 2014 Set 3 (1)
GATE CSE 2013 (2)
GATE CSE 2010 (2)
GATE CSE 2009 (2)
GATE CSE 2008 (1)
GATE CSE 2007 (2)
GATE CSE 2006 (4)
GATE CSE 2005 (4)
GATE CSE 2004 (3)
GATE CSE 2001 (1)
GATE CSE 1999 (1)
GATE CSE 1998 (3)
GATE CSE 1997 (1)
GATE CSE 1996 (4)
GATE CSE 1995 (2)
GATE CSE 1993 (2)
GATE CSE 1987 (2)
GATE CSE Subjects
Theory of Computation
Operating Systems
Algorithms
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages