1
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
$${2^{xyz}}$$
2
GATE CSE 2005
MCQ (Single Correct Answer)
+1
-0.3
The set $$\left\{ {1,\,\,2,\,\,4,\,\,7,\,\,8,\,\,11,\,\,13,\,\,14} \right\}$$ is a group under multiplication modulo $$15$$. The inverse of $$4$$ and $$7$$ are respectively:
A
$$3$$ and $$13$$
B
$$2$$ and $$11$$
C
$$4$$ and $$13$$
D
$$8$$ and $$14$$
3
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
4
GATE CSE 2005
MCQ (Single Correct Answer)
+1
-0.3
Let $$A$$, $$B$$ and $$C$$ be non-empty sets and let $$X = (A - B) - C$$ and $$Y = (A - C) - (B - C)$$

Which one of the following is TRUE?

A
$$X = Y$$
B
$$X \subset Y$$
C
$$Y \subset X$$
D
None of these
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