1
GATE CSE 1995
MCQ (Single Correct Answer)
+2
-0.6
Let A be the set of all nonsingular matrices over real numbers and let * be the matrix multiplication operator. Then
A
A is closed under * but $$ < A,\,* > $$ is not a semigroup.
B
$$ < A,\,* > $$ is a semigroup but not a monoid.
C
$$ < A,\,* > $$ is a monoid but not a group.
D
$$ < A,\,* > $$ is a group but not an abelian group
2
GATE CSE 1994
MCQ (Single Correct Answer)
+2
-0.6
Some group (G, o) is known to be abelian. Then, which one of the following is true for G?
A
$$g = {g^{ - 1}}\,$$ for every $$g\, \in \,G$$.
B
$$g = {g^{ 2}}\,$$ for every $$g\, \in \,G$$.
C
$${(goh)^2} = \,{g^2}\,o\,\,{h^2}$$ for every g, $$h\, \in \,G$$.
D
G is of finite order.
3
GATE CSE 1989
Fill in the Blanks
+2
-0
The transitive closure of the relation
$$\left\{ {\left( {1,2} \right)\left( {2,3} \right)\left( {3,4} \right)\left( {5,4} \right)} \right\}$$
on the set $$A = \left\{ {1,2,3,4,5} \right\}$$ is ________ .
4
GATE CSE 1988
Fill in the Blanks
+2
-0
The complement(s) of the element 'a' in the lattice shown in Fig. is (are) ........... . GATE CSE 1988 Discrete Mathematics - Set Theory & Algebra Question 32 English
GATE CSE Subjects
Software Engineering
Web Technologies
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12