Chapter-1 Set Language — Online MCQ Test
MATHS · Samacheer Kalvi 9th · Tamil Nadu State Board
Practice Chapter-1 Set Language with a free chapter-wise online MCQ test.
This chapter covers: Description Introduces sets their types operations and Venn diagrams for representing relationships Keywords Sets Union Intersection Subset Venn Diagram.
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Chapter-1 Set Language — Important Questions & Answers
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.
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.
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.
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.
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.
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.