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

HARD

11th CBSE

IMPORTANT

Earn 100

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

55.56% studentsanswered this correctly

Important Questions on Sets

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

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>OBJECTIVE TYPE QUESTIONS>Q 12

If

A

is a finite set having

n

elements, then the power set

P (A)

has

EASY

11th CBSE

IMPORTANT

Golden MATHEMATICS CLASS 11>Chapter 1 - Sets>OBJECTIVE TYPE QUESTIONS>Q 13

For any two sets

A

and

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