1
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
2
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
$${2^{xyz}}$$
3
GATE CSE 2006
MCQ (Single Correct Answer)
+1
-0.3
The set $$\left\{ {1,\,\,2,\,\,3,\,\,5,\,\,7,\,\,8,\,\,9} \right\}$$ under multiplication modulo 10 is not a group. Given below are four plausible reasons.

Which one of them is false?

A
It is not closed
B
2 does not have an inverse
C
3 does not have an inverse
D
8 does not have an inverse
4
GATE CSE 2005
MCQ (Single Correct Answer)
+1
-0.3
The following is the Hasse diagram of the poset $$\left[ {\left\{ {a,b,c,d,e} \right\}, \prec } \right]$$

The poset is:

GATE CSE 2005 Discrete Mathematics - Set Theory & Algebra Question 42 English
A
not a lattice
B
a lattice but not a distributive lattice
C
a distributive lattice but not a Boolean algebra
D
a Boolean algebra
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