#### 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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- 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)/(1-x), 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) = √9-x² 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 (A-B) = 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 R-1 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 A-B 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(n-1): 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