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Welcome to the Discrete Structures MCQs Page

Dive deep into the fascinating world of Discrete Structures with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Discrete Structures, a crucial aspect of UGC CBSE NET Exam. In this section, you will encounter a diverse range of MCQs that cover various aspects of Discrete Structures, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within UGC CBSE NET Exam.

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Check out the MCQs below to embark on an enriching journey through Discrete Structures. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of UGC CBSE NET Exam.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Discrete Structures. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Discrete Structures MCQs | Page 8 of 19

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Q71.
Which of the following is/are not true?

(a) The set of negative integers is countable.
(b) The set of integers that are multiples of 7 is countable.
(c) The set of even integers is countable.
(d) The set of real numbers between 0 and 1/2 is countable.

a.

(a) and (c)

b.

(b) and (d)

c.

(b) only

d.

(d) only

Discuss
Answer: (d).(d) only
Q72.
Consider the graph given below. The two distinct sets of vertices, which make the graph bipartite are:

a.

(v1, v4, v6); (v2, v3, v5, v7, v8)

b.

(v1, v7, v8); (v2, v3, v5, v6)

c.

(v1, v4, v6, v7); (v2, v3, v5, v8)

d.

(v1, v4, v6, v7, v8); (v2, v3, v5)

Discuss
Answer: (c).(v1, v4, v6, v7); (v2, v3, v5, v8)
Q73.
A data cube C, has n dimensions, and each dimension has exactly p distinct values in the base cuboid. Assume that there are no concept hierarchies associated with the dimensions. What is the maximum number of cells possible in the data cube, C?

a.

p^n

b.

p

c.

(2^n-1)p+1

d.

(p+1)^n

Discuss
Answer: (d).(p+1)^n
Q74.
Suppose that from given statistics, it is known that meningitis causes stiff neck 50% of the time, that the proportion of persons having meningitis is 1/50000, and that the proportion of people having stiff neck is 1/20. Then the percentage of people who had meningitis and complain about stiff neck is:

a.

0.01%

b.

0.02%

c.

0.04%

d.

0.05%

Discuss
Answer: (b).0.02%
Q75.
How many solutions are there for the equation x+y+z+u=29 subject to the constraints that x≥1, y≥2, z≥3 and u≥0?

a.

4960

b.

2600

c.

23751

d.

8855

Discuss
Answer: (b).2600
Q76.
Given two sequences X and Y:

X = < a, b, c, b, d, a, b >
Y = < b, d, c, a, b, a >

The longest common subsequence of X and Y is:

a.

< b, c, a >

b.

< c, a, b >

c.

< b, c, a, a >

d.

< b, c, b, a >

Discuss
Answer: (d).< b, c, b, a >
Q77.
If there are n integers to sort, each integer has d digits and each digit is in the set {1,2, ..., k}, radix sort can sort the numbers in:

a.

O(d n k)

b.

O(d n^k)

c.

O((d+n)k)

d.

O(d(n+k))

Discuss
Answer: (d).O(d(n+k))
Q78.
The solution of the following recurrence relation is:

a.

O(lg n)

b.

O(n)

c.

O(n lg n)

d.

None of the above

Discuss
Answer: (d).None of the above
Q79.
A bell-shaped membership function is specified by three parameters (a, b, c) as follows:

a.

A

b.

B

c.

C

d.

D

Discuss
Answer: (b).B
Q80.
Consider the given graph given below. Its Minimum Cost Spanning Tree is ..................

a.

A

b.

B

c.

C

d.

D

Discuss
Answer: (b).B
Page 8 of 19

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