EASY

Earn 100

If set $A = \{1, 2, 3\}$ . Then number of proper subsets of set A is...

100% studentsanswered this correctly

Important Questions on Sets, Relations and Functions

EASY

Elementary Mathematics>Algebra>Sets, Relations and Functions>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

Elementary Mathematics>Algebra>Sets, Relations and Functions>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

EASY

Elementary Mathematics>Algebra>Sets, Relations and Functions>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

Elementary Mathematics>Algebra>Sets, Relations and Functions>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

Elementary Mathematics>Algebra>Sets, Relations and Functions>Sets

A \subset B,

then

A Δ B

is equal to

EASY

Elementary Mathematics>Algebra>Sets, Relations and Functions>Sets

*

is a binary operation such that

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

, then

3 * 5

EASY

Elementary Mathematics>Algebra>Sets, Relations and Functions>Sets

If a set

A

has

4

elements, then the total number of proper subsets of set

A

, is

EASY

Elementary Mathematics>Algebra>Sets, Relations and Functions>Sets

How many pairs of

(x, y)

can be chosen from the set

\{2, 3, 6, 8, 9\}

such that

\frac{x}{y} + \frac{y}{x} = 2, where x \neq y ?

MEDIUM

Elementary Mathematics>Algebra>Sets, Relations and Functions>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

Elementary Mathematics>Algebra>Sets, Relations and Functions>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

Elementary Mathematics>Algebra>Sets, Relations and Functions>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

Elementary Mathematics>Algebra>Sets, Relations and Functions>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

Elementary Mathematics>Algebra>Sets, Relations and Functions>Sets

Which one of the following is a correct statement?

EASY

Elementary Mathematics>Algebra>Sets, Relations and Functions>Sets

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

Z

, then

4 * 3 =

_____

EASY

Elementary Mathematics>Algebra>Sets, Relations and Functions>Sets

A = \{x : x is a multiple of 7\}, B = \{x : x is a multiple of 5\} and C = \{x : x is a multiple of 35\}

, then which one of the folowing is a null set?

MEDIUM

Elementary Mathematics>Algebra>Sets, Relations and Functions>Sets

Which one of the following is a set of solution of the equation

x^{\sqrt{x}} = \sqrt[n]{x^{x}}

n

is a positive integer?

MEDIUM

Elementary Mathematics>Algebra>Sets, Relations and Functions>Sets

In a competitive examination,

250

students have registered. Out of these,

50

students have registered for Physics,

75

students for Mathematics and

35

students for both Mathematics and Physics. What is the number of students who have registered neither for Physics nor for Mathematics?

EASY

Elementary Mathematics>Algebra>Sets, Relations and Functions>Sets

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

and

A \subseteq B,

then the number of elements in

(A \cup B)

is equal to

EASY

Elementary Mathematics>Algebra>Sets, Relations and Functions>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

Elementary Mathematics>Algebra>Sets, Relations and Functions>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

If set A = 1, 2, 3. Then number of proper subsets of set A is...

Important Questions on Sets, Relations and Functions

Learn and Prepare for any exam you want !

If set $A = \{1, 2, 3\}$ . Then number of proper subsets of set A is...