Maths MCQ on Sets

Empty set is a ?

How many rational and irrational numbers are possible between 0 and 1 ?

A C B is read as ?

Every set is a ___________ of itself

A set has n elements, then the, number of elements in its power set is ?

The union of sets A and B is expressed as ?

The intersection of sets A and B is expressed as ?

A—B is read as ?

A — B will contain elements in ?

A’ will contain how many elements from the original set A

(A’)’ = ?

If A is not equal to B, then the Cartesian product ?

If A = {0,2) and B = {1,3), then Cartesian product ?

If A has m elements and B has n elements, then A x B has elements ?

In lst quadrant ?

In 2nd quadrant ?

In 3rd quadrant ?

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

In 4th quadrant ?

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

If A =[5,6,7] and B=[7,8,9]then A U B is equal to:

If A, B and C are any three sets, then A × (B ∪ C) is equal to.

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

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

If A is any set, then

If A and B are any two sets, then A ∩ (A ∪ B) is equal to

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.

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

The set of intelligent students in a class is.

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.

A = {x: x ≠ x }represents.

If A ∩ B = B, then.

If A, B and C are any three sets, then A – (B ∪ C) is equal to

The smallest set A such that A ∪ {1, 2} = {1, 2, 3, 5, 9} is

In a set – builder method, the null set is represented by

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

A set consisting of a definite number of elements is called a

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

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.

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?

If x ≠ 1, and f(x) = x + 1 / x – 1 is a real function, then f(f(f(2))) is

If f(x) = Log [(1 + x)/(1-x), then f (2x )/(1 + x²) is equal to

The range of the function f(x) = x / │x│ is

The range of the function f(x) = │x – 1│ is

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

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

Solve f(x) = √9-x² the range is

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?

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

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

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

If n (A) = 115, n (B) = 326, n (A-B) = 47, then n (A U B) is equal to

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

A set contains k elements. The power set of this set contains

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?

If A = {x ? C: x2 = 1} and B = {x ? C: x4 = 1}, then A ? B is equal to

If R is the relation “is greater than” from A ={1,2,3,4,5}to B={1,3,4} , Than R-1 is

If A Í B, then B’ – A’ is equal to

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

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

A set is known by its _______.

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:

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

If for two sets A and B, A U B = A? B = A, then we have

If A = {x : x is a multiple of 3} and B = {x 😡 is a multiple of 5}, then A-B is equal to

The set (A U B U C) ? (A ? B’ ? C’)’ ? C’ is equal to

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

If A = {4n -3n -1: n ? N} and B = {9(n-1): n ? N}, then we have

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

Which of the following is not correct?

If A Í B then which of the following are correct?

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

Which of the following does not have a proper subset

If A U B = AU C and A ? B = A ? C, then

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

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

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

Which of the following sets are null sets:

Which of the following are true:

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

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