Class 10 Maths Chapter 5 Sets and Functions MCQs

Description:

Practice Class 10 Maths Chapter 5 MCQs (Sets and Functions) based on FBISE pattern. These MCQs cover relations, functions, domain, range, and types of functions for board exam preparation

These Class 10 Maths Chapter 5 Sets and Functions MCQs are prepared according to the FBISE syllabus. This chapter covers sets, operations on sets, functions, and De Morgan’s laws.

These MCQs help students understand important concepts and practice exam questions. All questions come with answers for better learning.

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1. A set is:

A) Collection of numbers only B) Well-defined collection of objects C) Group of variables D) Equation

2. The empty set is denoted by:

A) \emptyset B) {0} C) [] D) { }

3. The set {1,2,3} is:

A) Infinite set B) Null set C) Finite set D) Equal set

4. A subset is:

A) Larger set B) Set whose elements belong to another set C) Equal set D) Empty set

5. Number of subsets of a set with n elements is:

A) 2^n B) n² C) n D) n!

6. Union of sets means:

A) Common elements B) Difference C) All elements from both sets D) None

7. Intersection of sets means:

A) Common elements B) All elements C) Difference D) Union

8. If A ⊂ B and B ⊂ A, then:

A) A is empty B) A = B C) A ⊄ B D) None

9. Cartesian product A × B consists of:

A) Single elements B) Ordered pairs C) Subsets D) Numbers

10. A relation is a subset of:

A) A B) B C) A × B D) Universal set

11. A function is:

A) Relation with unique output B) Any relation C) Set only D) Equation only

12. Domain of a function is:

A) Output values B) Input values C) Range D) Relation

13. Range of a function is:

A) Inputs B) Domain C) Output values D) Set

14. If each element of domain maps to one element of codomain, it is:

A) Function B) Relation C) Set D) Equation

15. If one input has two outputs, it is:

A) Function B) Not a function C) Relation D) Set

16. A one-to-one function is:

A) Different inputs give different outputs B) Same outputs for different inputs C) All inputs same D) None

17. Onto function means:

A) One-to-one B) Every element of codomain has a pre-image C) No mapping D) Many outputs

18. A function which is both one-one and onto is:

A) Identity B) Constant C) Bijective D) None

19. Identity function is:

A) f(x) = x B) f(x) = 1 C) f(x) = x² D) f(x) = 0

20. Constant function is:

A) f(x) = x B) f(x) = c C) f(x) = x² D) f(x) = 1/x

21. The range of constant function is:

A) All real numbers B) Domain C) Single value D) Infinite

22. If f(x) = x², then f(-2) is:

A) -4 B) 4 C) 2 D) -2

23. If f(x) = 2x + 1, then f(3) is:

A) 7 B) 6 C) 5 D) 8

24. Relation from A to B is subset of:

A) A B) B C) A × B D) Universal set

25. If A has 3 elements and B has 2 elements, then A × B has:

A) 6 elements B) 5 elements C) 3 elements D) 2 elements

26. Number of elements in power set of A with 4 elements is:

A) 4 B) 16 C) 8 D) 2

27. Universal set contains:

A) All elements under consideration B) Only subsets C) Empty elements D) Numbers only

28. Complement of set A is:

A) Elements in A B) Elements not in A C) Common elements D) Subset

29. If A ∩ B = ∅, sets are:

A) Equal B) Subsets C) Disjoint D) Universal

30. If A ⊆ B and B ⊆ C, then:

A) A ⊄ C B) C ⊆ A C) B ⊆ A D) A ⊆ C

16. A one-to-one function is:

A) Different inputs give different outputs B) Same outputs for different inputs C) All inputs same D) None

17. Onto function means:

A) One-to-one B) Every element of codomain has a pre-image C) No mapping D) Many outputs

18. A function which is both one-one and onto is:

A) Identity B) Constant C) Bijective D) None

19. Identity function is:

A) f(x) = x B) f(x) = 1 C) f(x) = x² D) f(x) = 0

20. Constant function is:

A) f(x) = x B) f(x) = c C) f(x) = x² D) f(x) = 1/x

21. The range of constant function is:

A) All real numbers B) Domain C) Single value D) Infinite

22. If f(x) = x², then f(-2) is:

A) -4 B) 4 C) 2 D) -2

23. If f(x) = 2x + 1, then f(3) is:

A) 7 B) 6 C) 5 D) 8

24. Relation from A to B is subset of:

A) A B) B C) A × B D) Universal set

25. If A has 3 elements and B has 2 elements, then A × B has:

A) 6 elements B) 5 elements C) 3 elements D) 2 elements

26. Number of elements in power set of A with 4 elements is:

A) 4 B) 16 C) 8 D) 2

27. Universal set contains:

A) All elements under consideration B) Only subsets C) Empty elements D) Numbers only

28. Complement of set A is:

A) Elements in A B) Elements not in A C) Common elements D) Subset

29. If A ∩ B = ∅, sets are:

A) Equal B) Subsets C) Disjoint D) Universal

30. If A ⊆ B and B ⊆ C, then:

A) A ⊄ C B) C ⊆ A C) B ⊆ A D) A ⊆ C

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