The elements of the set {x : x is an integer, x² : 4} can be represent as .....Z..... . Here, Z refers to

If Y = {x : x is a positive factor of the number 2p – 1(2p – 1), where 2p – 1 is a prime number}, then Y can be represent in roster form as

The set {x : x is a positive integer less than 6 and 3x – 1 is an even number} in roster form is

If A B and A B, then

The number of non-empty subsets of the set{1, 2, 3, 4} is

The number of elements of the power set of a set containing m elements is

If A = {x : x = n², n = 1, 2, 3}, then number of proper subsets is

If A = {x : x = 4n + 1, 2 £ n £ 5},then number of subsets of A is

Let A and B be two non-empty subsets of a set X such that A is not a subset of B, then

Which of the following is/are empty set? 
A = {x : x2 + x + 1 = 0 and x Î Z}   B = {x : x is a prime number and 19 < x < 23}

The set {x : x⁴ = 1 and x R} is .....X.... set. Here, X refers to

The universal set for the sets   
A = {x : x² – 5x + 6 = 0} and   
B = {x : x² – 3x + 2 = 0} having least number of elements is

If A = {1, 2, 3}, B = {x € R : x2 – 2x + 1 = 0}, 

If A = (–3, 5) and  B = [–7, 9], then

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

Combine terms: 12a + 26b  - 4b – 16a .

The average of first 50 natural numbers is ………… .

60 Times of 8 Equals to

Consider the sets

If X = {4n – 3n – 1: n Î N} and Y = {9(n – 1): n Î N}; where N is the set of natural numbers, then X È Y is equal to

Consider the following statements :
1. The set of all irrational numbers between √2 and √5 is an infinite set .
2. The set of all odd integers less than 100 is a finite set .
Which of the statements given above is/are correct ?

What is the Next Prime Number after 7 ?

If A and B are two given sets, then A (A B)^C is equal to

121 Divided by 11 is

Let X be the universal set for sets A and B, if n(A) = 200, n(B) = 300 and n = 100, then n is equal to 300 provided n(X) is equal to

Let A = {x : x is a prime factor of 240} B = {x : x is the sum of any two prime factors of 240}, then

If A = {x : x is a multiple of 4 and x N} and B = {x : x is a multiple of 6 and x N}, then A B consists of all multiples of

In a group of 400 people, 250 can speak Hindi and 200 can speak English. Then, people who can speak both Hindi and English are

20 teachers of a school either teach Mathematics or Physics. 12 of them teach Mathematics while 4 teach both the subjects. The number of teacher teaching Physics only, is

In a class of 100 students, 70 have taken Science, 60 have taken Mathematics, 40 have taken both Science and Mathematics. The number of students who have not taken Science or Mathematics or both Science and Mathematics, is equal to

A market research group conducted a survey of 1000 consumers and reported that 720 consumers like product A and 450 consumers like the product B, then least number that must have like both products, is

If there are three athletic teams in a school, 21 are in the basketball team, 26 in hockey team and 29 in the football team. 14 play hockey and basketball, 15 play hockey and football, 12 play football and basketball and 8 play all the games. The total number of members is

A college awarded 38 medals in football, 15 in basketball and 20 in cricket. If these medals went to a total of 58 men and only three men got medals in all the three sports, then number of men who received meal in exactly two of the three sports is

In the class of 175 students, the following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. Then, number of students opted Mathematics alone is

In a city, 20% of the population travles by car, 50% travles by bus and 10% travles by both car and bus. Then, person travelling by car or bus, is

Universal set,
U = {x | x⁵ – 6x⁴ + 11x³ – 6 x 2 = 0}
A = {x | x² – 5x + 6 = 0}
B = {x | x² – 3x + 2 = 0}
What is the value of (A B)?

If P(A) denotes the power set of A and A is the void set, then what is the number of elements in P{P{P{P(A)}}}?

If A = {1, 2, 3, 4, 5}, b = {x : x2 – 5x + 6 = 0} and C = {x : x2 = 4 or x = 1}, then

In a group of 50 people, 35 speak Hindi, 25 speak both English and Hindi and all the people speak atleast one of two languages. The number of people who speak 'English', 'English but not Hindi' are respectively

If P = {1, 2}, then P × P × P = {(1, 1, 1), (1, 1, 2), (1, 2, 1), (2, 1, 2), (2, 2, 1), (2, 2, 2)}. The ordered triplet missing in P × P × P are

If A = {1, 2, 3, 4} and B = {5, 7, 9} then

Let A and B are two sets having 3 elements in common. If n(A) = 5 and n(B) = 4, then n[(A × B) (B × A)] is equal to

If n(A) = 3, n(B) = 4 then, n(A × A × B) is equal to

If A = {1, 2, 3}, B = {3, 8}, then (A B) × (A  B) is equal to

The Cartesian product A × A has 9 elements among which are found (–1, 0) and (0, 1). Then, the remaining elements of A × A are 

Let A = {1, 2, 3}. The total number of distinct relations that can be defined over A, is 

Let A = {x, y, z} and B = {1, 2}. Then, the number of relations from A to B is 

Let A = {x, y, z} and B = {a, b, c, d}. Then, which one of the following is not a relation from A to B?

The relation R defined on the set of natural numbers as {(a, b): a differs from b by 3} is given by

If R is a relation on a finite set A having (n – 1) elements, then the number of relations on A is 

Let R = {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9),
(3, 12), (3, 6)} be a relation on the set A ={3, 6, 9, 12}
The relation is

The relation ' has the same father as ' over the set of children is 

Which of the following functions is inverse of itself?

The number of 3-digit numbers divisible by 6, is ………….. .

If G represents the name of the function in below graph, then G is a/an

Let X = {–1, 0, 1}, Y = {0, 2} and a function f: X → Y defined by y = 2x4, is 

Let f : R→ R be a function defined by

A relation R in a set A is called _______, if (a₁, a₂) ∈ R implies (a₂, a₁) ∈ R, for all a₁, a₂ ∈ A .

If f(x) = [x²] – [x]², where [.] denotes the greatest integer function and x € [0, 2] then the set of values of f(x) is   

If the function gof is defined an onto, then 

a + ib > c + id can be explained only when 

If 3x² + 4x + 2 = 0, then equation has