1
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Consider the following Hasse diagrams.
GATE CSE 2007 Discrete Mathematics - Set Theory & Algebra Question 40 English 1
GATE CSE 2007 Discrete Mathematics - Set Theory & Algebra Question 40 English 2
GATE CSE 2007 Discrete Mathematics - Set Theory & Algebra Question 40 English 3
GATE CSE 2007 Discrete Mathematics - Set Theory & Algebra Question 40 English 4

Which all of the above represent a lattice?

A
(i) and (iv) only
B
(ii) and (iii) only
C
(iii) only
D
(i), (ii) and (iv) only
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 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
$${2^{{n^2}}}$$
4
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
How many different non-isomorphic Abelian groups of order 4 are there?
A
2
B
3
C
4
D
5
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