Multiple Choice Questions - Union, Intersection, and Complement of Sets (JEE Main)

Which of the following is the correct representation of the union of two sets A and B?
- a) A ∪ B = {x : x ∈ A or x ∈ B}
- b) A ∪ B = {x : x ∈ A and x ∈ B}
- c) A ∪ B = {x : x ∈ A and not x ∈ B}
- d) A ∪ B = {x : x not in A or x in B}
Answer: a)
If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∩ B?
- a) {1, 2, 3, 4, 5}
- b) {1, 2}
- c) {3}
- d) {4, 5}
Answer: c)
Which of the following sets is the complement of set A if the universal set is U = {1, 2, 3, 4, 5} and A = {1, 3, 4}?
- a) {2, 3, 4}
- b) {2, 5}
- c) {1, 4}
- d) {1, 3}
Answer: b)
Which of the following represents the intersection of sets A and B?
- a) A ∩ B = {x : x ∈ A or x ∈ B}
- b) A ∩ B = {x : x ∈ A and x ∈ B}
- c) A ∩ B = {x : x not in A and x in B}
- d) A ∩ B = {x : x ∈ A and not x ∈ B}
Answer: b)
If A = {2, 4, 6} and B = {1, 2, 3}, what is A ∪ B?
- a) {1, 2, 3, 4, 6}
- b) {2, 3, 4, 6}
- c) {2, 4}
- d) {1, 2, 4, 6}
Answer: a)
If A ⊆ B, which of the following is true?
- a) A ∩ B = ∅
- b) A ∪ B = A
- c) A ∪ B = B
- d) A ∩ B = B
Answer: c)
Which of the following represents the complement of the union of sets A and B?
- a) (A ∪ B)' = A' ∪ B'
- b) (A ∪ B)' = A' ∩ B'
- c) (A ∪ B)' = A ∩ B
- d) (A ∪ B)' = A' ∩ B
Answer: b)
If A = {1, 2, 3} and B = {3, 4, 5}, what is the difference A - B?
- a) {1, 2, 3, 4, 5}
- b) {1, 2}
- c) {3, 4}
- d) {4, 5}
Answer: b)
If A = {1, 2, 3}, B = {3, 4}, and C = {3, 5}, what is (A ∪ B) ∩ C?
- a) {1, 2, 3, 4, 5}
- b) {3}
- c) {1, 2, 5}
- d) {3, 4}
Answer: b)
If A = {1, 3, 5} and B = {2, 4, 6}, what is A ∪ B?
- a) {1, 2, 3, 4, 5, 6}
- b) {1, 3, 5}
- c) {2, 4, 6}
- d) ∅
Answer: a)
If the universal set is U = {1, 2, 3, 4, 5} and A = {1, 2}, what is A'?
- a) {1, 2}
- b) {3, 4, 5}
- c) {1, 3, 4}
- d) {2, 5}
Answer: b)
Which of the following represents the set of all elements in set A or in set B but not in both?
- a) A ∪ B
- b) A ∩ B
- c) A - B
- d) A Δ B (Symmetric Difference)
Answer: d)
Which of the following is the Venn diagram representation of A ∪ B?
- a) Two non-overlapping circles
- b) Two circles with no intersection
- c) Two overlapping circles representing the union
- d) Two overlapping circles representing the difference
Answer: c)
If A = {x : x is an integer} and B = {x : x is even}, what is A - B?
- a) {x : x is odd}
- b) {x : x is even}
- c) ∅
- d) {x : x is positive}
Answer: a)
What is the complement of the intersection of sets A and B, denoted by (A ∩ B)?
- a) A' ∪ B'
- b) A' ∩ B'
- c) A ∪ B
- d) A ∩ B
Answer: a)

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Multiple Choice Questions - Union, Intersection, and Complement of Sets (JEE Main)

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