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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 2 of 19

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Q11.
Which of the following permutations can be obtained in the output using a stack of size 3 elements assuming that input, sequence is 1, 2, 3, 4, 5 ?

a.

3, 2, 1, 5, 4

b.

5, 4, 3, 2, 1

c.

3, 4, 5, 2, 1

d.

3, 4, 5, 1, 2

Discuss
Answer: (c).3, 4, 5, 2, 1
Q12.
How many solutions do the following equation have x1 + x2 + x3 = 11
where x1 ≥ 1, x2 ≥2, x3 ≥ 3

a.

C(7, 11)

b.

C(11, 3)

c.

C(14, 11)

d.

C(7, 5)

Discuss
Answer: (c).C(14, 11)
Q13.
The number of distinct bracelets of five beads made up of red, blue, and green beads (two bracelets are indistinguishable if the rotation of one yield another) is,

a.

243

b.

81

c.

51

d.

47

Discuss
Answer: (c).51
Q14.
58 lamps are to be connected to a single electric outlet by using an extension board each of which has four outlets. The number of extension boards needed to connect all the light is

a.

29 

b.

28

c.

20

d.

19

Discuss
Answer: (d).19
Q15.
The power set of AUB, where A = {2, 3, 5, 7} and B = {2, 5, 8, 9} is

a.

256

b.

64

c.

16

d.

4

Discuss
Answer: (b).64
Q16.
Which is not the correct statement ?

a.

The class of regular sets is closed under homomorphisms.

b.

The class of regular sets is not closed under inverse homomorphisms.

c.

The class of regular sets is closed under quotient.

d.

The class of regular sets is closed under substitution.

Discuss
Answer: (b).The class of regular sets is not closed under inverse homomorphisms.
Q17.
Given the following statements :

(i) Recursive enumerable sets are closed under complementation.
(ii) Recursive sets are closed under complementation.

Which is/are the correct statements ?

a.

only (i)

b.

only (ii)

c.

both (i) and (ii)

d.

neither (i) nor (ii)

Discuss
Answer: (b).only (ii)
Q18.
Let θ(x, y, z) be the statement “x + y = z” and let there be two quantifications given as

(i) ∀x ∀y  Z ∃ θ(x, y, z)
(ii) ∃Z ∀x ∀y θ(x, y, z)
 
Where x, y, z are real numbers. Then which one of the following is correct ?

a.

(i) is true and (ii) is true

b.

(i) is true and (ii) is false

c.

(i) is false and (ii) is true

d.

(i) is false and (ii) is false

Discuss
Answer: (b).(i) is true and (ii) is false
Q19.
Let P(rn, n) be the statement if "m divides n" where the universe of discourse for both the variables is the set of positive integers. Determine the truth values of each of the-following propositions:

I. ∀m ∀n P(m,n)
II. ∃m  ∀n P(m,n)

a.

Both I and II are true

b.

Both I and II are false

c.

I -false & II -true

d.

I -true & II-false

Discuss
Answer: (c).I -false & II -true
Q20.
Big O estimate for
( f(x) = (x + 1) log(x2 + 1) +3x2 is given as

a.

O(x log x)

b.

O(x^2)

c.

O(x^3)

d.

O(x^2 log x)

Discuss
Answer: (b).O(x^2)
Page 2 of 19

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