Chapter Exam

Chapter-1 Set Language — Online MCQ Test

Q: What is a set?

Answer: A. A well-defined collection of objects — A set is a well-defined collection of objects. The objects are called elements or members of the set.

Q: Which of the following is an empty set?

Answer: B. {x : x is a natural number less than 1} — There is no natural number less than 1, so the set has no elements. Hence it is an empty set.

Q: Which of the following is a subset of {1, 2, 3, 4}?

Answer: A. {2, 4} — Every element of {2, 4} is in the given set, so it is a subset. The other options contain elements not in the set.

Q: If A ⊂ B and B ⊂ C, which of the following must be true?

Answer: B. A ⊂ C — If A is a subset of B and B is a subset of C, then every element of A is also an element of C. Hence A ⊂ C.

Q: Which of the following can be represented by a Venn diagram with one circle inside another circle?

Answer: B. A subset relationship — A circle inside another circle shows that one set is a subset of the other. This indicates that all elements of one set are contained in the larger set.

MATHS · Samacheer Kalvi 9th · Tamil Nadu State Board

Practice Chapter-1 Set Language with a free chapter-wise online MCQ test for Tamil Nadu State Board Samacheer Kalvi 9th MATHS. This chapter covers: Description Introduces sets their types operations and Venn diagrams for representing relationships Keywords Sets Union Intersection Subset Venn Diagram. AI-generated questions from basic to board-exam level, with instant results and explanations.

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Chapter-1 Set Language — Important Questions & Answers (FAQ)

Frequently asked questions from Tamil Nadu State Board Samacheer Kalvi 9th MATHS — Chapter-1 Set Language, with answers and explanations. These are sample questions; the exam has its own separate question set.

What is a set?

A. A well-defined collection of objects ✓
B. A collection of random objects only
C. A group of numbers only
D. A set of equations

Answer: A. A well-defined collection of objects
A set is a well-defined collection of objects. The objects are called elements or members of the set.

Which of the following is an empty set?

A. {1, 2, 3}
B. {x : x is a natural number less than 1} ✓
C. {a, e, i, o, u}
D. {2, 4, 6}

Answer: B. {x : x is a natural number less than 1}
There is no natural number less than 1, so the set has no elements. Hence it is an empty set.

Which of the following is a subset of {1, 2, 3, 4}?

A. {2, 4} ✓
B. {5, 6}
C. {1, 2, 3, 4, 5}
D. {0, 4}

Answer: A. {2, 4}
Every element of {2, 4} is in the given set, so it is a subset. The other options contain elements not in the set.

If A ⊂ B and B ⊂ C, which of the following must be true?

A. C ⊂ A
B. A ⊂ C ✓
C. B ⊂ A
D. A ∪ B = ∅

Answer: B. A ⊂ C
If A is a subset of B and B is a subset of C, then every element of A is also an element of C. Hence A ⊂ C.

Which of the following can be represented by a Venn diagram with one circle inside another circle?

A. Two disjoint sets
B. A subset relationship ✓
C. Two equal sets only
D. An empty set and a universal set

Answer: B. A subset relationship
A circle inside another circle shows that one set is a subset of the other. This indicates that all elements of one set are contained in the larger set.

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Chapter-2 Real Numbers