Chapter Exam

Chapter 2: Sets — Online MCQ Test

Q: Which of the following is the correct definition of a set?

Answer: A. A collection of well-defined distinct objects — A set is defined as a collection of well-defined, distinct objects called elements. The elements must be clearly identifiable and unique.

Q: Which notation is used to represent that an element belongs to a set?

Answer: B. ∈ — The symbol ∈ (epsilon) is used to denote that an element belongs to a set, while ⊂ denotes subset relationship.

Q: If A = {1, 2, 3} and B = {2, 3, 4}, then A ∪ B equals?

Answer: B. {1, 2, 3, 4} — The union of two sets contains all elements that belong to either set A or set B or both. Therefore, A ∪ B = {1, 2, 3, 4}.

Q: If A = {1, 2} and B = {1, 2, 3, 4}, then which statement is true?

Answer: B. A ⊂ B — Since every element of A is also in B, but B has additional elements (3 and 4), A is a proper subset of B, denoted as A ⊂ B.

Q: In a class of 100 students, 60 like Mathematics and 75 like Science. If every student likes at least one subject, how many students like both subjects?

Answer: B. 35 — Using n(M ∪ S) = n(M) + n(S) - n(M ∩ S), we get 100 = 60 + 75 - n(M ∩ S), so n(M ∩ S) = 135 - 100 = 35.

MATHS · CLASS 10th · Telangana State Board

Practice Chapter 2: Sets with a free chapter-wise online MCQ test for Telangana State Board CLASS 10th MATHS. This chapter covers: This chapter introduces the fundamental language of set theory. AI-generated questions from basic to board-exam level, with instant results and explanations.

Questions

20m

Time Limit

Attempts Left

10 random questions from this chapter (mixed difficulty)
Questions you've seen before won't repeat until the pool resets
You have 20 minutes — exam auto-submits when time is up
Maximum 3 attempts per chapter
Results and explanations shown immediately after submission

New here? Register free — includes 3 free chapter exams.

Chapter 2: Sets — Important Questions & Answers (FAQ)

Frequently asked questions from Telangana State Board CLASS 10th MATHS — Chapter 2: Sets, with answers and explanations. These are sample questions; the exam has its own separate question set.

Which of the following is the correct definition of a set?

A. A collection of well-defined distinct objects ✓
B. A group of similar numbers only
C. Any arrangement of elements in order
D. A list of random items

Answer: A. A collection of well-defined distinct objects
A set is defined as a collection of well-defined, distinct objects called elements. The elements must be clearly identifiable and unique.

Which notation is used to represent that an element belongs to a set?

A. ⊂
B. ∈ ✓
C. ⊆
D. ≠

Answer: B. ∈
The symbol ∈ (epsilon) is used to denote that an element belongs to a set, while ⊂ denotes subset relationship.

If A = {1, 2, 3} and B = {2, 3, 4}, then A ∪ B equals?

A. {2, 3}
B. {1, 2, 3, 4} ✓
C. {1, 4}
D. { }

Answer: B. {1, 2, 3, 4}
The union of two sets contains all elements that belong to either set A or set B or both. Therefore, A ∪ B = {1, 2, 3, 4}.

If A = {1, 2} and B = {1, 2, 3, 4}, then which statement is true?

A. A ⊃ B
B. A ⊂ B ✓
C. A = B
D. A and B are disjoint sets

Answer: B. A ⊂ B
Since every element of A is also in B, but B has additional elements (3 and 4), A is a proper subset of B, denoted as A ⊂ B.

In a class of 100 students, 60 like Mathematics and 75 like Science. If every student likes at least one subject, how many students like both subjects?