Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>OBJECTIVE TYPE QUESTIONS>Q 3

MEDIUM

11th CBSE

IMPORTANT

Earn 100

If $A$ and $B$ are two sets such that $n (A) = 12, n (A - B) = 5$ and $n (A \cup B) = 23$ , then maximum number of subsets of $A \cap B$ is

47.92% studentsanswered this correctly

Important Questions on Sets

MEDIUM

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>OBJECTIVE TYPE QUESTIONS>Q 4

If

P

and

Q

are two well defined and finite sets and

Q

has

90

elements,

P \cap Q

has

30

elements and

P \cup Q

has

108

elements, the cardinality of

P - Q

is

HARD

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>OBJECTIVE TYPE QUESTIONS>Q 5

There is a certain number of students in a school. Of them,

130

students passed subject

A

,

113

passed subject

B

,

117

passed subject

C

. But

60

of the students passed exactly two of the subjects whereas

20

students passed all the three. Further

70

students failed in all subjects. The total number of students is

MEDIUM

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>OBJECTIVE TYPE QUESTIONS>Q 6

If

A = \{(x, y) : x^{2} + y^{2} = 25\}

and

B = \{(x, y) : x^{2} + 9 y^{2} = 144\}

, where

x, y

are integers, the number of elements in

A \cup B

is

MEDIUM

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>OBJECTIVE TYPE QUESTIONS>Q 7

If

A

and

B

are two finite sets such that

n [P (A)] = n [P (B)] + 992, n (A) + n (B)

is

MEDIUM

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>OBJECTIVE TYPE QUESTIONS>Q 8

If the sets

A

and

B

have

3

and

6

elements respectively, the minimum number of elements in

A \cup B

is

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>OBJECTIVE TYPE QUESTIONS>Q 9

Let

A

and

B

are two sets with

m

and

n

elements, respectively. If the number of subsets of first set is

56

more than the number of subsets of the second set, then

(m, n)

is

MEDIUM

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>OBJECTIVE TYPE QUESTIONS>Q 10

If

N_{k} = {k n : n \in N}, N_{4} \cap N_{6}

is equal to

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>OBJECTIVE TYPE QUESTIONS>Q 11

If

A

and

B

are two sets, then

A \cap (A \cup B)

equals