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Important Questions on Sets, Relations and Functions

EASY

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

If $A = \{x / x \leq 10, x \in N\}$ and $B = \{x / x \leq 10, x \in W\}$ , then $A \cap B = ?$

MEDIUM

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

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, Relations and Functions>Sets and Relations

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, Relations and Functions>Sets and Relations

If a set

A

has

4

elements, then the total number of proper subsets of set

A

, is

HARD

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

In an examination

51 %

students fail in English and

45 %

fail in Maths. If

21 %

students fail in both the subjects, then

169

students pass the examination. What is the total number of students taking the exam?

EASY

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

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

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

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, Relations and Functions>Sets and Relations

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

Z

, then

4 * 3 =

_____

MEDIUM

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

In a group of boys,

25

play volleyball,

20

play badminton and

10

boys play cricket. Five boys play all the three games. 8 boys play atleast two of the three games. How many of them play only one game?

EASY

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

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, Relations and Functions>Sets and Relations

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, Relations and Functions>Sets and Relations

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, Relations and Functions>Sets and Relations

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, Relations and Functions>Sets and Relations

A

and

B

are disjoint sets, then

B \cap A^{'}

, where

A^{'}

is complement of

A

, is equal to

EASY

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

n (P) = 8, n (Q) = 10

and

n (R) = 5

(

' n'

denotes cardinality) for three disjoint sets

P, Q, R

, then

n (P U Q U R) =

EASY

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

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, Relations and Functions>Sets and Relations

*

is a binary operation such that

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

, then

3 * 5

EASY

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

A \subset B,

then

A Δ B

is equal to

EASY

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

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

=

…

MEDIUM

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

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

and

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

, then

X \cap Y =

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Important Questions on Sets, Relations and Functions

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