NCERT Exemplar Mathematics - Class 11>Chapter 1 - Sets>EXERCISE>Q 30

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IMPORTANT

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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 $n$ are, respectively,

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Important Questions on Sets

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11th CBSE

IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 1 - Sets>EXERCISE>Q 31

The set

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

is equal to

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IMPORTANT

NCERT Exemplar Mathematics - Class 11>Chapter 1 - Sets>EXERCISE>Q 32

Let

F_{1}

be the set of parallelograms,

F_{2}

the set of rectangles,

F_{3}

the set of rhombuses,

F_{4}

the set of squares and

F_{5}

the set of trapeziums in a plane. Then

F_{1}

may be equal to

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NCERT Exemplar Mathematics - Class 11>Chapter 1 - Sets>EXERCISE>Q 33

Let

S =

set of points inside the square,

T =

the set of points inside the triangle and

C =

the set of points inside the circle. If the triangle and circle intersect each other and are contained in a square. Then

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NCERT Exemplar Mathematics - Class 11>Chapter 1 - Sets>EXERCISE>Q 34

Let

R

be set of points inside a rectangle of sides

a

and

b

(a, b > 1)

. With two sides along the positive direction of

x

-axis and

y

-axis, Then

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NCERT Exemplar Mathematics - Class 11>Chapter 1 - Sets>EXERCISE>Q 35

In a class of

60

students,

25

students play cricket and

20

students play tennis, and

10

students play both the games. Then, the number of students who play neither is

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NCERT Exemplar Mathematics - Class 11>Chapter 1 - Sets>EXERCISE>Q 36

In a town of

840

persons,

450

persons read Hindi,

300

read English and

200

read both. Then the number of persons who read neither is

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NCERT Exemplar Mathematics - Class 11>Chapter 1 - Sets>EXERCISE>Q 37

If

X = \{8^{n} - 7 n - 1 | n \in N\}

and

Y = {49 n - 49 | n \in N}

. Then

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NCERT Exemplar Mathematics - Class 11>Chapter 1 - Sets>EXERCISE>Q 38

A survey shows that

63 %

of the people watch a News Channel whereas

76 %

watch another channel. If

x %

of the people watch both channel, then