MEDIUM

Earn 100

Let $U$ be the universal set, $A$ and $B$ are the subsets of $U$ . If $n (U) = 650, n (A) = 310$ , $n (A \cap B) = 95$ and $n (B) = 190$ , then $n (\bar{A} \cap \bar{B})$ is equal to ( $\bar{A}$ and $\bar{B}$ are the complement of $A$ and $B$ , respectively)

50% studentsanswered this correctly

Important Questions on Sets, Relations and Functions

EASY

Quantitative Aptitude>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

Quantitative Aptitude>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

Quantitative Aptitude>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

Quantitative Aptitude>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

Quantitative Aptitude>Algebra>Sets, Relations and Functions>Sets and Relations

A \subset B,

then

A Δ B

is equal to

EASY

Quantitative Aptitude>Algebra>Sets, Relations and Functions>Sets and Relations

*

is a binary operation such that

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

, then

3 * 5

EASY

Quantitative Aptitude>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

EASY

Quantitative Aptitude>Algebra>Sets, Relations and Functions>Sets and Relations

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

Quantitative Aptitude>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

Quantitative Aptitude>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

Quantitative Aptitude>Algebra>Sets, Relations and Functions>Sets and Relations

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

Quantitative Aptitude>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

=

…

EASY

Quantitative Aptitude>Algebra>Sets, Relations and Functions>Sets and Relations

Which one of the following is a correct statement?

EASY

Quantitative Aptitude>Algebra>Sets, Relations and Functions>Sets and Relations

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

Z

, then

4 * 3 =

_____

EASY

Quantitative Aptitude>Algebra>Sets, Relations and Functions>Sets and Relations

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

Quantitative Aptitude>Algebra>Sets, Relations and Functions>Sets and Relations

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

Quantitative Aptitude>Algebra>Sets, Relations and Functions>Sets and Relations

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

Quantitative Aptitude>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

Quantitative Aptitude>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

Quantitative Aptitude>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

Let U be the universal set, A and B are the subsets of U. If nU=650, nA=310, nA∩B=95 and nB=190, then nA¯∩B¯ is equal to (A¯ and B¯ are the complement of A and B, respectively)

Important Questions on Sets, Relations and Functions

Learn and Prepare for any exam you want !

Let $U$ be the universal set, $A$ and $B$ are the subsets of $U$ . If $n (U) = 650, n (A) = 310$ , $n (A \cap B) = 95$ and $n (B) = 190$ , then $n (\bar{A} \cap \bar{B})$ is equal to ( $\bar{A}$ and $\bar{B}$ are the complement of $A$ and $B$ , respectively)