1
GATE CSE 2007
MCQ (Single Correct Answer)
+1
-0.3
What is the maximum number of different Boolean functions involving $$n$$ Boolean variables?
A
$${n^2}\,$$
B
$${2^n}$$
C
$${2^{{2^n}}}$$
D
$${2^{{n^2}}}$$
2
GATE CSE 2007
MCQ (Single Correct Answer)
+1
-0.3
Let $$S$$ be a set6 of $$n$$ elements. The number of ordered pairs in the largest and the smallest equivalence relations on $$S$$ are
A
$$n$$ and $$n$$
B
$${n^2}\,$$ and $$n$$
C
$${n^2}\,$$ and $$0$$
D
$$n$$ and $$1$$
3
GATE CSE 2006
MCQ (Single Correct Answer)
+1
-0.3
A relation $$R$$ is defined on ordered pairs of integers as follows: $$\left( {x,y} \right)R\left( {u,v} \right)\,if\,x < u$$ and $$y > v$$. Then $$R$$ is
A
Neither a Partial Order nor an Equivalence Relation
B
A Partial Order but not a Total Order
C
A Total Order
D
An Equivalence relation
4
GATE CSE 2006
MCQ (Single Correct Answer)
+1
-0.3
Let $$X,. Y, Z$$ be sets of sizes $$x, y$$ and $$z$$ respectively. Let $$W = X x Y$$ and $$E$$ be the set of all subjects of $$W$$. The number of functions from $$Z$$ to $$E$$ is
A
$${2^{{2^{xy}}}}$$
B
$$2 \times {2^{xy}}$$
C
$${2^{{2^{x + y}}}}$$
D
$${2^{xyz}}$$
GATE CSE Subjects
Software Engineering
Web Technologies
EXAM MAP
Joint Entrance Examination
JEE MainJEE AdvancedWB JEEBITSAT
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN