If aN = { ax : x ∈ N } then the set 4 N ∩ 6 N is

The shaded region in the given figure is

If A , B and C are non-empty sets, then ( A − B ) ∪ ( B − A ) =

The shaded region in the given figure is

Which of the following is not the solution of | x + 3 | + x x + 2 >1?

Which of the following is a null set?

If a N = { a x : x ∈ N } , then the set 3 N ∩ 7 N is

The number of integral values of x is 5 x − 1 < ( x + 1 ) 2 < 7 x − 3 , is

If A and B are two given sets, then A ∩ ( A ∩ B ) c is equal to

Let U be the universal set and A ∪ B ∪ C = U . Then [ ( A − B ) ∪ ( B − C ) ∪ ( C − A ) ] C equals

If A = { 2 , 3 , 5 } , B = { 2 , 5 , 6 } , then ( A − B ) × ( A ∩ B ) is

If x satisfies | x − 1 | + | x − 2 | + | x − 3 | ≥ 6 , then

If R = x , y | x , y ∈ z , x 2 + y 2 ≤ 4 is a relation in Z, then domain of R is

If A = [ x , y : x 2 + y 2 = 25 ] and B = x , y : x 2 + 9 y 2 = 144 , then A ∩ B contains

Set A and B have 3 and 6 elements respectively. What can be the minimum number of elements in A ∪ B

The set A = { x : | 2 x + 3 | < 7 } is equal to

When A=∅, then number of elements in P(A) is

If X ∪ { 1 , 2 } = { 1 , 2 , 3 , 5 , 9 } , then which of the following is not true?

The largest interval for which x 12 − x 9 + x 4 − x + 1 > 0 is

Let A and B be two sets, then ( A ∪ B ) C ∪ A C ∩ B equals

Solution set of the inequality 1 2 x − 1 > 1 1 − 2 x − 1 is

The set of all real numbers x for which x 2 − | x + 2 | + x > 0 is

If n ( A − B ) = 14 , n ( A ∪ B ) = 29 and n ( A ∩ B ) = 9 , then n ( B − A ) is

Let A and B be two sets, then ( A ∪ B ) C ∪ A C ∩ B equals

If ‘ R ′ be a relation defined as a R b iff | a − b | > 0 , then the relation is ( a , b ∈ R )

Given log 10 2 = a and log 10 3 = b . If 3 x + 2 = 45 , then the value of 1 − a b =

Let U be the universal set and . Then [ ( A − B ) ∪ ( B − C ) ∪ ( C − A ) ] ′ equals

Number of integers satisfying the inequality, x 4 − 29 x 2 + 100 ≤ 0 is

Let n ( A ) = n . Then the number of all relations on A is

The number of reflexive relations of a set with four elements is equal to

If X = 8 n – 7 n – 1 ; n ∈ N and Y = { 49 ( n – 1 ) ; n ∈ N } , then

If N a = an : n ∈ N , then N 3 ∩ N 4 =

Let A = {1 {2, 3}}. Then, the number of subsets of A, is

The set A = x : x ∈ R , x 2 = 16 and 2 x = 6 is equal to

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

Let A, B and C be sets such that ϕ ≠ A ∩ B ⊆ C .Then which of the following statements is not true?

If A = { 2 , 3 } , B = { 4 , 5 } and C = { 5 , 6 } , then n { ( A × B ) ∪ ( B × C ) } is

Let A = {1,2,3} and B= {2,3,4}, then which of the following relations is a function from A to B

If A, B, C are three sets such that A ∩ B = A ∩ C a n d A ∪ B = A ∪ C , then

If X and Y are two sets such that X ∩ Y = X ∪ Y , then

If A and B both contain same number of elements and are finite sets then

If A , B , C are three non-empty sets such that A ∩ B = ϕ , B ∩ C = ϕ , then

If a set A has n elements then the number of all relations on A is

If n ( A ) = n then n { ( x , y , z ) ; x , y , z ∈ A x ≠ y , y ≠ z , z ≠ x } =

If A = 3 n : n ∈ N , n ≤ 6 , B = 9 n : n ∈ N , n ≤ 4 then which of the following is false

Let U be the universal set and A ∪ B ∪ C = U . Then ( A − B ) ∪ ( B − C ) ∪ ( C − A ) C equals

If A = { ϕ , { ϕ } } , then the power set of A is

If A and B are two sets then ( A − B ) ∪ ( B − A ) ∪ ( A ∩ B ) =

If X = 8 n − 7 n − 1 , n ∈ N and y = { 49 n − 49 , n ∈ N } t h e n

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

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

If n ( A ) = 4 , n ( B ) = 3 , n ( A × B × C ) = 24 , then n ( C ) =

If A = [ − 3 , 7 ] and B = [ 2 , 9 ] then which of the following is not true

Number of integral values of x satisfying the inequation x x + 2 ≤ 1 | x | is

Number of real solution(s) of the equation | x − 3 | 3 x 2 − 10 x + 3 = 1 is

The value of log 9 4 1 2 3 6 − 1 2 3 6 − 1 2 3 6 − 1 2 3 ⋯ ∞ is

Set of all values of x satisfying the equation | x + 1 | = 5 − | x − 4 | is

The number of integers satisfying log 1 x 2 ( x − 2 ) ( x + 1 ) ( x − 5 ) ≥ 1 is

When A = ϕ , then number of elements in P ( A ) is ….. here P(A) is set of all subsets of A

If sets A and B are disjoint sets, such that n ( A ∪ B ) = 30 and n ( A ) = 14 , then n ( B ) =

If ( x − 3 a ) ( x − a − 3 ) < 0 ∀ x ∈ [ 1 , 3 ] then exhaustive set of values of a is

If n ( A ) = 3 , n ( B ) = 6 and A ⊆ B . Then the number of elements in A ∪ B is equal to

Solution of 0 < 3 x + 1 < 1 3 is

Which of the following Venn diagrams is not correct for the set given?

If n(A) = 3, n(B) = 6 and A ⊆ B . Then the number of elements in A ∪ B is equal to

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

The set A ∩ B ′ ′ ∪ ( B ∩ C ) is equal to

For sets A and B, ( A ∪ B ) ′ ∪ A ′ ∩ B equals

complete solution set of inequality ( x + 2 ) ( x + 3 ) ( x − 2 ) ( x − 3 ) ≤ 1 is

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

If A and B are two sets, then A × B = B × A if

Let A and B be subsets of a set X. Then

Let A and B be two sets in the universal set. Then A – B equals

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

If A, B, C are three sets, then A ∩ B ∪ C is equal to

If A = 1 , 2 , 4 , B = 2 , 4 , 5 , C = 2 , 5 , then A – B × B – C is

A = 1 , 2 , 3 and B = 3 , 8 , then A ∪ B × A ∩ B is

If A = 2 , 3 , 5 , B = 2 , 5 , 6 , then A – B × A ∩ B is

If n ( A ) = 4 , n ( B ) = 3 , n ( A × B × C ) = 24 , then n ( C ) =

If A = 1 , 2 , 3 , 4 , 5 , B = 2 , 4 , 6 , C = 3 , 4 , 6 , then A ∪ B ∩ C is

If A = 1 , 2 , 3 , 4 ; B = a , b and f is a mapping such that f : A B , then A × B is

If A = x , y then the power set of A is

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

The relation R is defined on the set of natural numbers as a , b : a = 2 b . The R – 1 is given by

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

R is a relation from 11 , 12 , 13 to 8 , 10 , 12 defined by y = x – 3 . Then R – 1 is

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

Solution set of x ≡ 3 ( mod 7 ) , p ∈ Z , is given by

If A = x : x 2 – 5 x + 6 = 0 , B = 2 , 4 , C = 4 , 5 , then A × ( B ∩ C )

If A = { ϕ , { ϕ } } then the power set of A is

If A and B are two sets, then A = B ∩ C and B = C ∩ A then

Let A ={1, 2,3, 4}, B = {2, 4, 6}. Then, the number of sets C such that A ∩ B ⊆ C ⊆ A ∪ B is

If P, Q and R are subsets of a set A, then R × P c ∪ Q c c

If aN = { ax : x ∈ N } and bN ∩ cN = dN , where b , c ∈ N are relatively prime, then

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

If A = [ x : f ( x ) = 0 ] and B = [ x : g ( x ) = 0 ] then A ∩ B will be

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

If n ( A ) = 3 and n ( B ) = 6 and A ⊆ B Then the number of elements in A ∩ B is equal to

Which of the following equality is not true.

If, B ⊂ ≠ A ‘ , then which of the following sets is equal to A ‘ ,.

If x 2 + x 3 = 5 x 6 , then x is any term of the following

If A = { 2 x : x ∈ N } , B = { 3 x : x ∈ N } and C = { 5 x : x ∈ N ) then A ∩ ( B ∩ C ) is equal to

If X , Y and A are three sets such that A ∩ X = A ∩ Y and A ∪ X = A ∪ Y then

Let X = x : x = n 3 + 2 n + 1 , n ∈ N and Y = x : x = 3 n 2 + 7 , n ∈ N then

For non-empty subsets A and B ,

If n ∣ q and A = z ∈ C : z n = 1 B = z : z q = 1 then