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Two finite sets respectively have $x$ and $y$ number of elements. The total number of sub sets of the first is $56$ more than the total no. of sub sets of the second. The value of $x, y$ are respectively __________

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Important Questions on Sets

EASY

Mathematics>Algebra>Sets>Types of Sets

Let

A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} .

Then the number of subsets of

A

containing two or three elements is

EASY

Mathematics>Algebra>Sets>Types of Sets

A \subset B,

then

A Δ B

is equal to

EASY

Mathematics>Algebra>Sets>Types of Sets

A survey shows that

73 %

of the persons working in an office like coffee, whereas

65 %

like tea. If

x

denotes the percentage of them, who like both coffee and tea, then

x

cannot be:

EASY

Mathematics>Algebra>Sets>Types of Sets

If a set

A

has

4

elements, then the total number of proper subsets of set

A

, is

EASY

Mathematics>Algebra>Sets>Types of Sets

The set of cubes of natural numbers is

EASY

Mathematics>Algebra>Sets>Types of Sets

In a class of

175

students the following data shows the number of students opting one or more subjects. Mathematics

100

, Physics

70

, Chemistry

40

, Mathematics and Physics

30,

Mathematics and Chemistry

28

, Physics and Chemistry

23

, Mathematics, physics and Chemistry

18

. The number of students who have opted Mathematics alone is

MEDIUM

Mathematics>Algebra>Sets>Types of Sets

A survey shows that

63 %

of the people in a city read newspaper

A

whereas

76 %

read news paper

B

. If

x %

of the people read both the newspapers, then a possible value of

x

can be:

EASY

Mathematics>Algebra>Sets>Types of Sets

*

is a binary operation such that

a * b = a^{2} + b^{2}

, then

3 * 5

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Mathematics>Algebra>Sets>Types of Sets

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

and

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

, then

X \cap Y =

EASY

Mathematics>Algebra>Sets>Types of Sets

A = {x | x \in N, x

is a prime number less than

12}

and

B = {x |

x \in N

x

is factor of

10}

, then

A \cap B

=

…

EASY

Mathematics>Algebra>Sets>Types of Sets

In an examination,

53 %

of the candidates failed in science and

48 %

failed in mathematics. If

40 %

failed in both subjects, what percentage passed in both subjects ?

EASY

Mathematics>Algebra>Sets>Types of Sets

Which of the following is an empty set?

EASY

Mathematics>Algebra>Sets>Types of Sets

In an examination,

54 %

of the candidates passed in science and

42 %

failed in mathematics. If

32 %

failed in both subjects, what percentage passed in both subjects ?

EASY

Mathematics>Algebra>Sets>Types of Sets

n (A) = 3, n (B) = 6

and

A \subseteq B,

then the number of elements in

(A \cup B)

is equal to

EASY

Mathematics>Algebra>Sets>Types of Sets

a * b = a^{2} + b^{2} + a b + 2

Z

, then

4 * 3 =

_____

EASY

Mathematics>Algebra>Sets>Types of Sets

In an examination,

35 %

of students who failed in Hindi,

45 %

of students failed in English and

20 %

of students failed in both subjects. What is the percentage of students passing in both the subjects?

EASY

Mathematics>Algebra>Sets>Types of Sets

In a class, students are assigned roll numbers from I to

140

. All students with even roll numbers opted for cricket, all those whose roll numbers are divisible by

5

opted for football, and all those whose roll numbers are divisible by

3

opted for basketball. The number of students who did not opt for any of the three sports is

EASY

Mathematics>Algebra>Sets>Types of Sets

Two finite sets have

m

and

n

elements. The number of subsets of the first set is

112

more than that of the second. The values of

m

and

n

are respectively

EASY

Mathematics>Algebra>Sets>Types of Sets

The following Venn diagram indicates

Question Image

HARD

Mathematics>Algebra>Sets>Types of Sets

Let

a > 0, a \neq 1

. Then, the set

S

of all positive real numbers

b

satisfying

(1 + a^{2}) (1 + b^{2}) = 4 a b

Two finite sets respectively have x and y number of elements. The total number of sub sets of the first is 56 more than the total no. of sub sets of the second. The value of x, y are respectively __________

Important Questions on Sets

Learn and Prepare for any exam you want !

Two finite sets respectively have $x$ and $y$ number of elements. The total number of sub sets of the first is $56$ more than the total no. of sub sets of the second. The value of $x, y$ are respectively __________