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Sets and Relations — BITSAT Mathematics PYQs

20 previous year questions from Sets and Relations with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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Sets and Relations — BITSAT Mathematics PYQs

In a statistical investigation of 1003 families of Calcutta, it was found that 63 families has neither a radio nor a TV, 794 families has a radio and 187 has TV. The number of fami

Let R be the relation "is congruent to" on the set of all triangles in a plane is

Number of subsets of set of letter of word 'MONOTONE'.

In an examination, 62 % of the candidates failed in English, 42% in Mathematics and 20% in both. The number of those who passed in both the subjects is

If n( ~A )=1000, n( ~B )=500 and if n( ~A B ) 1 and n( ~A B )=p , then

A set A has 3 elements and another set B has 6 elements. Then

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

In a statistical investigation of 1003 families of Calcutta, it was found that 63 families has neither a radio nor a T.V, 794 families has a radio and 187 has T.V. The number of fa

Let A = 1 , 2 , 3 , 4 , 5 and R be a relation defined by R = ( x , y ) : x , y ∈ A , x + y = 5 . Then, R is

Let A and B be two sets such that A ∩ X = B ∩ X = ϕ and A ∪ X = B ∪ X for same set X . Then,

Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n respectively are,

Universal set, U= x x⁵-6 x⁴+11 x³-6 x²=0 A= x x²-5 x+6=0 B = x x ²-3 x +2=0 What is (A B)^ equal to ?

If = (x, y) x²+y²=1 ; x, y R . Then, is

The set (A B) (B A) is equal to]

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 . Then, the relation is

A class has 175 students. The following data shows the number of students obtaining one or more subjects. Mathematics 100 , Physics 70 , Chemistry 40; Mathematics and Physics 30 ,

Let R be the relation on the set R of all real numbers, defined by a R b If |a-b| 1 . Then, R is

Let A and B be two sets then ( A B ) ( A ^ B ) is equal to

Let ( A = x: x R ,|x| < 1 ); ( B = x: x R ,|x-1| 1 and A B = R - D , ) then the set ( D ) is

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

Sets and Relations — BITSAT Mathematics PYQs

In a statistical investigation of 1003 families of Calcutta, it was found that 63 families has neither a radio nor a TV, 794 families has a radio and 187 has TV. The number of fami

Let R be the relation "is congruent to" on the set of all triangles in a plane is

Number of subsets of set of letter of word 'MONOTONE'.

In an examination, 62 % of the candidates failed in English, 42% in Mathematics and 20% in both. The number of those who passed in both the subjects is

If n( ~A )=1000, n( ~B )=500 and if n( ~A B ) 1 and n( ~A B )=p , then

A set A has 3 elements and another set B has 6 elements. Then

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

In a statistical investigation of 1003 families of Calcutta, it was found that 63 families has neither a radio nor a T.V, 794 families has a radio and 187 has T.V. The number of fa

Let A = 1 , 2 , 3 , 4 , 5 and R be a relation defined by R = ( x , y ) : x , y &#8712; A , x + y = 5 . Then, R is

Let A and B be two sets such that A &#8745; X = B &#8745; X = &#981; and A &#8746; X = B &#8746; X for same set X . Then,

Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n respectively are,

Universal set, U= x x⁵-6 x⁴+11 x³-6 x²=0 A= x x²-5 x+6=0 B = x x ²-3 x +2=0 What is (A B)^ equal to ?

If = (x, y) x²+y²=1 ; x, y R . Then, is

The set (A B) (B A) is equal to]

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 . Then, the relation is

A class has 175 students. The following data shows the number of students obtaining one or more subjects. Mathematics 100 , Physics 70 , Chemistry 40; Mathematics and Physics 30 ,

Let R be the relation on the set R of all real numbers, defined by a R b If |a-b| 1 . Then, R is

Let A and B be two sets then ( A B ) ( A ^ B ) is equal to

Let ( A = x: x R ,|x| < 1 ); ( B = x: x R ,|x-1| 1 and A B = R - D , ) then the set ( D ) is

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

Let A = 1 , 2 , 3 , 4 , 5 and R be a relation defined by R = ( x , y ) : x , y ∈ A , x + y = 5 . Then, R is

Let A and B be two sets such that A ∩ X = B ∩ X = ϕ and A ∪ X = B ∪ X for same set X . Then,