The following section consists of Maths Multiple Choice questions on Set For competitions and exams. Select the correct option to test your Set skills.
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Sets
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Question 1 of 21
1. Question
Empty set is a ?

Question 2 of 21
2. Question
How many rational and irrational numbers are possible between 0 and 1 ?

Question 3 of 21
3. Question
A C B is read as ?

Question 4 of 21
4. Question
Every set is a ___________ of itself

Question 5 of 21
5. Question
A set has n elements, then the, number of elements in its power set is ?

Question 6 of 21
6. Question
The union of sets A and B is expressed as ?

Question 7 of 21
7. Question
The intersection of sets A and B is expressed as ?

Question 8 of 21
8. Question
A—B is read as ?

Question 9 of 21
9. Question
A — B will contain elements in ?

Question 10 of 21
10. Question
A’ will contain how many elements from the original set A

Question 11 of 21
11. Question
(A’)’ = ?

Question 12 of 21
12. Question
If A is not equal to B, then the Cartesian product ?

Question 13 of 21
13. Question
If A = {0,2) and B = {1,3), then Cartesian product ?

Question 14 of 21
14. Question
If A has m elements and B has n elements, then A x B has elements ?

Question 15 of 21
15. Question
In lst quadrant ?

Question 16 of 21
16. Question
In 2nd quadrant ?

Question 17 of 21
17. Question
In 3rd quadrant ?

Question 18 of 21
18. Question
If R = {(1,1),(2,3),(4,5)}, then domain of the function is ?

Question 19 of 21
19. Question
In 4th quadrant ?

Question 20 of 21
20. Question
If R = {(1,1),(2,3),(4,5)}, then domain of the function is ?

Question 21 of 21
21. Question
If A =[5,6,7] and B=[7,8,9]then A U B is equal to:
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Question 1 of 20
1. Question
If A, B and C are any three sets, then A × (B ∪ C) is equal to.

Question 2 of 20
2. Question
The number of proper subsets of the set {1, 2, 3} is.

Question 3 of 20
3. Question
If A and B are any two sets, then A ∪ (A ∩ B) is equal to.

Question 4 of 20
4. Question
If A is any set, then

Question 5 of 20
5. Question
If A and B are any two sets, then A ∩ (A ∪ B) is equal to

Question 6 of 20
6. Question
Out of 800 boys in a school, 224 played cricket, 240 played hockey and 336 played basketball. Of the total, 64 played both basketball and hockey; 80 played cricket and basketball and 40 played cricket and hockey; 24 played all the three games. The number of boys who did not play any game is.

Question 7 of 20
7. Question
If A, B, C be three sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C, then.

Question 8 of 20
8. Question
The set of intelligent students in a class is.

Question 9 of 20
9. Question
In a town of 10,000 families it was found that 40% family buy newspaper A, 20% buy newspaper B and 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three newspapers, then number of families which buy A only is.

Question 10 of 20
10. Question
A = {x: x ≠ x }represents.

Question 11 of 20
11. Question
If A ∩ B = B, then.

Question 12 of 20
12. Question
If A, B and C are any three sets, then A – (B ∪ C) is equal to

Question 13 of 20
13. Question
The smallest set A such that A ∪ {1, 2} = {1, 2, 3, 5, 9} is

Question 14 of 20
14. Question
In a set – builder method, the null set is represented by

Question 15 of 20
15. Question
Two finite sets have n and m elements. The number of elements in the power set of first set is 48 more than the total number of elements in power set of the second set. Then the values of m and n are

Question 16 of 20
16. Question
A set consisting of a definite number of elements is called a

Question 17 of 20
17. Question
If the set has p elements, b has q elements, the no of elements in A x B is

Question 18 of 20
18. Question
In a class of 200 students, 70 played cricket, 60 played hockey and 80 played football. 30 played cricket and football, 30 played hockey and football, 40 played cricket and hockey. Find the maximum number of people playing all three games and also the minimum number of people playing at least one game.

Question 19 of 20
19. Question
A survey showed that 63 % of the Americans like cheese whereas 76 % like apples. If x % of Americans like both cheese and apples, then find the range of x?

Question 20 of 20
20. Question
If x ≠ 1, and f(x) = x + 1 / x – 1 is a real function, then f(f(f(2))) is
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Question 1 of 20
1. Question
If f(x) = Log [(1 + x)/(1x), then f (2x )/(1 + x²) is equal to

Question 2 of 20
2. Question
The range of the function f(x) = x / │x│ is

Question 3 of 20
3. Question
The range of the function f(x) = │x – 1│ is

Question 4 of 20
4. Question
Let f = {(x, x² /1+x² ): x € R } be a function from R into R . range of x is

Question 5 of 20
5. Question
If A = {1, 2, 5} and B = {3, 4, 5, 9}, then A ? B is equal to

Question 6 of 20
6. Question
Solve f(x) = √9x² the range is

Question 7 of 20
7. Question
If A = {1, 2, 5} and B = {3, 4, 5, 9}, then A ? B is equal to If A = {x: x = 3n, n ? 6, n ? N} and B = {x: x = 9n, n ? 4, n ? N}, then which of the following is false?

Question 8 of 20
8. Question
Let R be a relation N define by x + 2y = 8 . The domain of R is

Question 9 of 20
9. Question
If Y is the smallest set such that Y U {1, 2} = {1, 2, 3, 5, 9}, then Y is equal to

Question 10 of 20
10. Question
If R is a relation on a finite set having a elements , then the number of relations on A is

Question 11 of 20
11. Question
If n (A) = 115, n (B) = 326, n (AB) = 47, then n (A U B) is equal to

Question 12 of 20
12. Question
{ (a, b) : a² +b² = 1} on the set S has the following relation

Question 13 of 20
13. Question
A set contains k elements. The power set of this set contains

Question 14 of 20
14. Question
If A and B are two sets containing respectively m and n distinct elements. How many different relations can be defined for A and B?

Question 15 of 20
15. Question
If A = {x ? C: x2 = 1} and B = {x ? C: x4 = 1}, then A ? B is equal to

Question 16 of 20
16. Question
If R is the relation “is greater than” from A ={1,2,3,4,5}to B={1,3,4} , Than R1 is

Question 17 of 20
17. Question
If A Í B, then B’ – A’ is equal to

Question 18 of 20
18. Question
Let R= {(x,y) :x, y belong to N, 2x+y =41}. The range is of the relation R is

Question 19 of 20
19. Question
If for a ? N, aN = {ax: x ? N}, then the set 6 N ? 8 N is equal to

Question 20 of 20
20. Question
A set is known by its _______.
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Question 1 of 20
1. Question
If X = {1, 2, 3, 4, 5, 6, 7, 8, 9} A = {x ? N: 30 < x2 < 70}, B = {x : x is a prime number less than 10}, then which of the following is false:

Question 2 of 20
2. Question
Let A = {x: x is a digit in the number 3591}, B = {x: x ? N, x<10}. Which of the following is false?

Question 3 of 20
3. Question
If for two sets A and B, A U B = A? B = A, then we have

Question 4 of 20
4. Question
If A = {x : x is a multiple of 3} and B = {x 😡 is a multiple of 5}, then AB is equal to

Question 5 of 20
5. Question
The set (A U B U C) ? (A ? B’ ? C’)’ ? C’ is equal to

Question 6 of 20
6. Question
Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. The values of m and n are respectively

Question 7 of 20
7. Question
If A = {4n 3n 1: n ? N} and B = {9(n1): n ? N}, then we have

Question 8 of 20
8. Question
Let X be the universal set for sets A and B. If n (A) = 200, n (B) = 300 and n (A?B) = 100, then n(A’? B’) is equal to 300 provided n(X) is equal to

Question 9 of 20
9. Question
Which of the following is not correct?

Question 10 of 20
10. Question
If A Í B then which of the following are correct?

Question 11 of 20
11. Question
If A = {(x, y) : x2 + y2 = 1; x, y ? R} and B = {(x, y): x2 + y2 = 4; x, y ?R} then

Question 12 of 20
12. Question
Which of the following does not have a proper subset

Question 13 of 20
13. Question
If A U B = AU C and A ? B = A ? C, then

Question 14 of 20
14. Question
If aN = {an : n ? N} and bN ? cN = dN, where a, b, c ? N and b, c are coprime, then

Question 15 of 20
15. Question
If A = {1, 2, 3, 6, 11,18, 21}, B = {5, 7, 9} and N is the universal set, then A’ U ((AU B) ? B’) is equal to

Question 16 of 20
16. Question
Consider the set A of all determinants of order 3 with entries 0 or 1 only. Let B be the subset of A containing all determinants with value ?1?. Let C be the subset of A containing all determinants with value ?1?. Then

Question 17 of 20
17. Question
Which of the following sets are null sets:

Question 18 of 20
18. Question
Which of the following are true:

Question 19 of 20
19. Question
A survey shows that 63% of the Americans like cheese whereas 76% like apples. If x% of the Americans like both cheese and apples, then we have

Question 20 of 20
20. Question
If A = {1, 2, 3, 4, 5}, then the number of proper subsets of A is
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