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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 9 of 15

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Q81.
Let A(1), A(2), A(3),โ€ฆโ€ฆ.., A(100) be 100 sets such that number of elements in A(i)=i+1 and A(1) is subset of A(2), A(2)is subset of A(3),โ€ฆ.., A(99) is subset of A(100). The number of elements in union of the all the sets are: n(A(1) U A(2) U A(3) โ€ฆ..U A(100)).
Discuss
Answer: (c).101
Q82.
A function is said to be ______________ if and only if f(a) = f(b) implies that a = b for all a and b in the domain of f.
Discuss
Answer: (b).One-to-one
Q83.
The function f(x)=x+1 from the set of integers to itself is onto. Is it True or False?
Discuss
Answer: (a).True
Q84.
The value of โŒŠ1/2.โŒŠ5/2โŒ‹ โŒ‹ is ______________
Discuss
Answer: (a).1
Q85.
Which of the following function f: Z X Z โ†’ Z is not onto?
Discuss
Answer: (c).f(a, b) = |b|
Q86.
The domain of the function that assign to each pair of integers the maximum of these two integers is ___________
Discuss
Answer: (d).Zโบ X Zโบ
Q87.
Let f and g be the function from the set of integers to itself, defined by f(x) = 2x + 1 and g(x) = 3x + 4. Then the composition of f and g is ____________
Discuss
Answer: (a).6x + 9
Q88.
__________ bytes are required to encode 2000 bits of data.

a.

1

b.

2

c.

3

d.

8

Discuss
Answer: (b).2
Discuss
Answer: (b).fโป¹ (y) = (y โ€“ 2)โ…“
Q90.
The function f(x) = x³ is bijection from R to R. Is it True or False?
Discuss
Answer: (a).True

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