EASY

JEE Advanced

IMPORTANT

Earn 100

Let $A$ and $B$ be two sets, such that $A \cup B = A$ . Then, $A \cap B$ is equal to

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Important Questions on Sets

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 1 - Sets>Target Exercises>Q 15

Let

A

and

B

be two sets, then

{(A \cup B)}^{'} \cup (A^{'} \cap B)

is equal to

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 1 - Sets>Target Exercises>Q 16

Let

U

be the universal set and

A \cup B \cup C = U

. Then,

{\{(A - B) \cup (B - C) \cup (C - A)\}}^{'}

is equal to

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 1 - Sets>Target Exercises>Q 18

A = \{y : y = 2 x, x \in N\}, B = \{y : y = 2 x - 1, x \in N\}

, then

{(A \cap B)}^{'}

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 1 - Sets>Target Exercises>Q 19

n (A) = 4

and

n (B) = 7

, then the minimum and maximum values of

n (A \cup B)

are respectively

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 1 - Sets>Target Exercises>Q 20

Let

X

be the universal set for sets

A

and

B

. If

n (A) = 200, n (B) = 300

and

n (A \cap B) = 100

, then

n (A^{'} \cap B^{'})

is equal to

300

provided

n (X)

is equal to

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 1 - Sets>Target Exercises>Q 21

Suppose

A_{1}, A_{2}, \dots, A_{30}

are thirty sets each with five elements and

B_{1}, B_{2}, \dots, B_{n}

are

n

sets each with three elements. Let

\cup_{i = 1}^{30} A_{i} = \cup_{j = 1}^{n} B_{j} = S

. Assume that each element of

S

belongs to exactly

10

of the

{A_{i}}^{'} s

and exactly

9

{B_{j}}^{'} s

. The value of

n

must be

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 1 - Sets>Target Exercises>Q 22

If there are three athletic teams in a school; out of all team members

21

are in the basketball team,

26

are in the hockey team and

29

are in the football team;

14

members play hockey and basketball,

15

play hockey and football,

12

members play football and basketball and

8

members play all the games. Then the total number of members is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 1 - Sets>Target Exercises>Q 23

In a certain town, $25 %$ families own a phone and $15 %$ own a car, $65 %$ families own neither a phone nor a car. $2000$ families own both a car and a phone.

Consider the following statements in this regard:

I. $10 %$ families own both a car and a phone.

II. $35 %$ families own either a car or a phone.

III. $40000$ families live in the town.

Which of the above statements are correct?

Let A and B be two sets, such that A∪B=A. Then, A∩B is equal to

Important Questions on Sets

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Let $A$ and $B$ be two sets, such that $A \cup B = A$ . Then, $A \cap B$ is equal to