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Welcome to the Sets and Functions MCQs Page

Dive deep into the fascinating world of Sets and Functions with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Sets and Functions, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Sets and Functions, 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 Discrete Mathematics.

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Check out the MCQs below to embark on an enriching journey through Sets and Functions. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Discrete Mathematics.

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

Sets and Functions MCQs | Page 10 of 15

Explore more Topics under Discrete Mathematics

Q91.
The g⁻¹({0}) for the function g(x)= ⌊x⌋ is ___________

a.

{x | 0 ≤ x < 1}

b.

{x | 0 < x ≤ 1}

c.

{x | 0 < x < 1}

d.

{x | 0 ≤ x ≤ 1}

Discuss
Answer: (d).{x | 0 ≤ x ≤ 1}
Q92.
If f(x) = (x³ – 1) / (3x + 1) then f(x) is?

a.

O(x²)

b.

O(x)

c.

O(x² / 3)

d.

O(1)

Discuss
Answer: (a).O(x²)
Q93.
If f(x) = 3x² + x³logx, then f(x) is?

a.

O(x²)

b.

O(x³)

c.

O(x)

d.

O(1)

Discuss
Answer: (b).O(x³)
Q94.
The big-O notation for f(n) = (nlogn + n²)(n³ + 2) is?

a.

O(n²)

b.

O(3ⁿ)

c.

O(n⁴)

d.

O(n⁵)

Discuss
Answer: (d).O(n⁵)
Q95.
The big-theta notation for function f(n) = 2n³ + n – 1 is?

a.

n

b.

n²

c.

n³

d.

n⁴

Discuss
Answer: (c).n³
Q96.
The big-theta notation for f(n) = nlog(n² + 1) + n²logn is?

a.

n²logn

b.

n²

c.

logn

d.

nlog(n²)

Discuss
Answer: (a).n²logn
Q97.
The big-omega notation for f(x, y) = x⁵y³ + x⁴y⁴ + x³y⁵ is?

a.

x⁵y³

b.

x⁵y⁵

c.

x³y³

d.

x⁴y⁴

Discuss
Answer: (c).x³y³
Q98.
If f1(x) is O(g(x)) and f2(x) is o(g(x)), then f1(x) + f2(x) is?

a.

O(g(x))

b.

o(g(x))

c.

O(g(x)) + o(g(x))

d.

None of the mentioned

Discuss
Answer: (a).O(g(x))
Q99.
The little-o notation for f(x) = xlogx is?

a.

x

b.

x³

c.

x²

d.

xlogx

Discuss
Answer: (c).x²
Q100.
The big-O notation for f(n) = 2log(n!) + (n² + 1)logn is?

a.

n

b.

n²

c.

nlogn

d.

n²logn

Discuss
Answer: (d).n²logn
Page 10 of 15

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