EASY

JEE Advanced

IMPORTANT

Earn 100

If $n (A) = 4$ and $n (B) = 7$ , then the minimum and maximum values of $n (A \cup B)$ are respectively

50% studentsanswered this correctly

Important Questions on Sets

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?

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 1 - Sets>Target Exercises>Q 24

20

teachers of a school either teaching mathematics or physics.

12

of them teaching mathematics, while

4

teaching both the subjects. Then, the number of teachers teaching physics only are

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 1 - Sets>Target Exercises>Q 25

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

MEDIUM

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 1 - Sets>Entrances Gallery>Q 3

Let

A

and

B

be two sets containing four and two elements respectively. Then, the number of subsets of the set

A \times B

, each having at least three elements, is

EASY

JEE Advanced

IMPORTANT

Complete Study Pack for Engineering Entrances Objective Mathematics Vol 1>Chapter 1 - Sets>Entrances Gallery>Q 4

X = \{4^{n} - 3 n - 1 : n \in N\}

and

Y = \{9 (n - 1) : n \in N\}

where

N

is the set of natural numbers, then

X \cup Y

is equal to

If nA=4 and nB=7, then the minimum and maximum values of nA∪B are respectively

Important Questions on Sets

Learn and Prepare for any exam you want !

If $n (A) = 4$ and $n (B) = 7$ , then the minimum and maximum values of $n (A \cup B)$ are respectively