Set_Theory 15 Comments / By studentseoasis.org / May 3, 2025 Welcome to your Set_Theory Name Email Number 1. Which of the following represents the set of even numbers less than 10 in roster form? a) {0,2,4,6,8} b) {2,4,6,8} c) {x∣x is even,x<10} d) {2,4,6,8,10} None 2. What is the cardinality of the set A={a,b,c,d}? a) 3 b) 5 c) 4 d) 6 None 3. Which symbol represents the universal set? a) ∅ b) U c) N d) ∞ None 4. If A={1,2,3} and B={3,4,5} then A∪B=? a) {1,2,3} b) {3,4,5} c) {1,2,3,4,5} d) {3} None 5. Which of the following is an empty set? a) {0} b) {∅} c) {x∣x is a real number and x2=−1} d) {All prime numbers} None 6. If A={1,2,3} and B={2,3,4} then A∩B=? a) {1,2,3,4} b) {2,3} c) {1,4} d) ∅ None 7. Which of the following is a subset of A={1,2,3}? a) {1,4} b) ∅ c) {3,4} d) {2} None 8. The power set of {a,b} is: a) {{a},{b}} b) {∅,{a},{b},{a,b}} c) {{a,b}} d) {∅,{a,b}} None 9. If A={1,2,3} and B={3,4,5}, then A−B=? a) {1,2} b) {4,5} c) {3} d) ∅ None 10. Which of the following represents the set {x∣x is a positive integer less than 5} in roster form? a) {0,1,2,3,4} b) {1,2,3,4} c) {1,2,3,4,5} d) {x∣x<5} None 11. If A and B are disjoint sets, then: a) A∩B=∅ b) A∪B=U c) A⊆B d) B⊆A None 12. The symmetric difference of A={1,2,3} and B={3,4,5} is: a) {1,2,3,4,5} b) {3} c) {1,2,4,5} d) ∅ None 13. If A⊆B and B⊆C, then: a) A⊆C b) C⊆A c) A=C d) B=C None 14. The number of subsets of a set with n elements is: a) n b) 2^n c) n^2 d) 2n None 15. If A={1,2,3} and B={2,3,4}, then (A∪B)−(A∩B)=? a) ∅ b) {2,3} c) {1,2,3,4} d) {1,4} None 16. Which of the following is equivalent to A∩(B∪C)? a) (A∩B)∪(A∩C) b) (A∪B)∩(A∪C) c) A∪(B∩C) d) None None 17. If U={1,2,3,4,5} and A={2,4}, then A′= ? a) ∅ b) {2,4} c) {1,3,5} d) U None 18. The set A={x∣x∈Z,−2 a) {−1,0,1,2} b) {−2,−1,0,1,2,3} c) {−1,0,1} d) {−2,−1,0,1,2} None 19. If A has 4 elements and B has 5 elements, then the maximum number of elements in A∩Bis: a) 4 b) 5 c) 9 d) 20 None 20. Which of the following is a singleton set? a) {x∣x is even} b) {∅} c) {1,2,3} d) {0} None 21. If A×B={(1,a),(1,b),(2,a),(2,b)}, then A= ? a) {1,2}{1,2} b) {a,b} c) {(1,a),(2,b)} d) ∅ None 22. De Morgan’s Law states that (A∪B)′= ? a) A′∩B′ b) A′∪B′ c) A∩B None 23. If A={1,2,3} and B={3,4,5}, then ∣AΔB∣= ? a) 1 b) 2 c) 4 d) 5 None 24. Which of the following is an infinite set? a) {1,2,3,…,100} b) {All prime numbers} c) {∅} d) {x∣x is a day of the week} None 25. If A∩B=∅ and ∣A∣=3, ∣B∣=4, then ∣A∪B∣= ? a) 7 b) 1 c) 0 None 26. The set {x∣x is a real number and x2=9} is: a) {3} b) {−3,3} c) {9} None 27. If A⊆B, then A∪B= ? a) A b) B c) ∅ d) U None 28. In a survey of 100 people, 60 like tea, 50 like coffee, and 30 like both. How many people like only tea? a) 30 b) 60 c) 90 None 29. If A={1,2,3}A={1,2,3} and B={4,5}B={4,5}, then A×B has how many elements? a) 5 b) 6 c) 8 d) 9 None 30. The complement of the universal set U is: a) U b) ∅ c) Undefined d) Depends on context None None Time's up
Hafsa May 7, 2025 at 5:14 pm There are only 30 Mcqs but channel pe 50 mention hai and 18 number question needs to be considered Thora mere pas incomplete a raha hai ya aise he hai Reply
Mahnoor May 7, 2025 at 9:27 pm Plz share details about|A| |B| |A∆B| thing on ur YouTube channel. Reply
Odharam May 10, 2025 at 7:26 am It was really Amazing and thanks a lot but some Mcqs are wrong as i understand ,, please concern to 20and 27 Reply
Good test
I have attempted to your Quiz Sir
This is my test
Done test
Sir please check the 18th and 20th question.
There are only 30 Mcqs but channel pe 50 mention hai and 18 number question needs to be considered Thora mere pas incomplete a raha hai ya aise he hai
Plz share details about|A| |B| |A∆B| thing on ur YouTube channel.
Excellent
Fantastic
Great work
Waiting for such a good and helpful quiz
Nice test
It was really Amazing and thanks a lot
but some Mcqs are wrong as i understand ,,
please concern to 20and 27
Tharparkar best men aya tha I love my country
excellent