1
GATE CSE 2024 Set 1
MCQ (More than One Correct Answer)
+2
-0.66
Consider the operators $\diamond$ and $\square$ defined by $a \diamond b=a+2 b, a \square b=a b$, for positive integers. Which of the following statements is/are TRUE?
2
GATE CSE 2023
MCQ (More than One Correct Answer)
+2
-0.67
Let $$f:A \to B$$ be an onto (or surjective) function, where A and B are nonempty sets. Define an equivalence relation $$\sim$$ on the set A as
$${a_1} \sim {a_2}$$ if $$f({a_1}) = f({a_2})$$,
where $${a_1},{a_2} \in A$$. Let $$\varepsilon = \{ [x]:x \in A\} $$ be the set of all the equivalence classes under $$\sim$$. Define a new mapping $$F:\varepsilon \to B$$ as
$$F([x]) = f(x)$$, for all the equivalence classes $$[x]$$ in $$\varepsilon $$.
Which of the following statements is/are TRUE?
3
GATE CSE 2023
MCQ (More than One Correct Answer)
+2
-0.67
Let X be a set and 2$$^X$$ denote the powerset of X. Define a binary operation $$\Delta$$ on 2$$^X$$ as follows:
$$A\Delta B=(A-B)\cup(B-A)$$.
Let $$H=(2^X,\Delta)$$. Which of the following statements about H is/are correct?
4
GATE CSE 2021 Set 1
MCQ (More than One Correct Answer)
+2
-0.67
A relation R is said to be circular if aRb and bRc together imply cRa. Which of the following options is/are correct?
Questions Asked from Set Theory & Algebra (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE CSE 2024 Set 2 (1)
GATE CSE 2024 Set 1 (1)
GATE CSE 2023 (2)
GATE CSE 2021 Set 1 (1)
GATE CSE 2019 (1)
GATE CSE 2018 (1)
GATE CSE 2016 Set 2 (2)
GATE CSE 2016 Set 1 (1)
GATE CSE 2015 Set 3 (1)
GATE CSE 2015 Set 2 (2)
GATE CSE 2014 Set 2 (1)
GATE CSE 2014 Set 3 (2)
GATE CSE 2014 Set 1 (1)
GATE CSE 2012 (1)
GATE CSE 2009 (1)
GATE CSE 2007 (4)
GATE CSE 2006 (4)
GATE CSE 2005 (3)
GATE CSE 2004 (2)
GATE CSE 2002 (1)
GATE CSE 2001 (2)
GATE CSE 2000 (2)
GATE CSE 1999 (1)
GATE CSE 1998 (3)
GATE CSE 1996 (3)
GATE CSE 1995 (1)
GATE CSE 1994 (1)
GATE CSE 1989 (1)
GATE CSE 1988 (1)
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