HARD

Earn 100

The symmetric difference of set A and B is denoted by-

50% studentsanswered this correctly

Important Questions on Sets, Relations and Functions

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

=

…

MEDIUM

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

In a certain town,

25 %

of the families own a phone and

15 %

own a car;

65 %

families own neither a phone nor a car and

2000

families own both a car and a phone. Consider the following three statements:

(i)

5 %

families own both a car and a phone.

(i i)

35 %

families own either a car or a phone.

(i i i)

40000

families live in the town.

Then,

EASY

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

Let

X = \{n \in N : 1 \leq n \leq 50\}

. If

A = \{n \in X : n is a multiple of 2\}

and

B = \{n \in X : n is a multiple of 7\}

, then the number of elements in the smallest subset of

X

, containing both

A

and

B

, 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

Out of

80

students who appeared for the school exams in Mathematics

(M)

, Physics

(P)

and Chemistry

(C)

50

passed

M, 30

passed

P

and

40

passed

C

. At most

20

students passed

M

and

P

, at most

20

students passed

P

and

C

and at most

20

students passed

C

and

M

. The maximum number of students who could have passed all three exams is

EASY

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

U

is the universal set with

100

elements;

A

and

B

are two sets such that

n (A) = 50, n (B) = 60

n (A \cap B) = 20

then

n (A^{'} \cap B^{'}) =

MEDIUM

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

Two newspapers

A

and

B

are published in a city. It is known that

25 %

of the city population reads

A

and

20 %

reads

B

while

8 %

reads both

A

and

B .

Further,

30 %

of those who read

A

but not

B

look into advertisements and

40 %

of those who read

B

but not

A

also look into advertisements, while

50 %

of those who read both

A

and

B

look into advertisements. Then the percentage of the population who look into advertisements is:

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:

HARD

Quantitative Aptitude>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?

MEDIUM

Quantitative Aptitude>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?

HARD

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

In a group of

100

persons,

80

people can speak Malayalam and

60

can speak English. Then the number of people who speak English only is

EASY

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

Let the set

P = {2, 3, 4, \dots, 25}

. For each

k \in P

, define

Q (k) = {x \in P

such that

x > k

and

k

divides

x}

. Then, the number of elements in the set

P - \cup_{k = 2}^{25} Q (k)

HARD

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

Let

A

and

B

be finite sets such that

n (A - B) = 18, n (A \cap B) = 25

and

n (A \cup B) = 70

. Then

n (B)

is equal to

MEDIUM

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

A = \{x \in R : |x| < 2\}

and

B = \{x \in R : |x - 2| \geq 3\};

then

MEDIUM

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

If $A = {1, 2, 3, 4, 5}$ and $B = {2, 4, 6}$ , then $A - B =$

HARD

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

Let $\cup_{i = 1}^{50} X_{i} = \cup_{i = 1}^{n} Y_{i} = T$ , where each $X_{i}$ contains $10$ elements and each $Y_{i}$ contains $5$ elements. If each element of the set $T$ is an element of exactly $20$ of sets $X_{i}$ 's and exactly $6$ of sets $Y_{i}$ 's then $n$ is equal to :

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:

MEDIUM

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

In a class of

140

students numbered

1

140

, all even numbered students opted Mathematics course, those whose number is divisible by

3

opted Physics course and those whose number is divisible by

5

opted Chemistry course. Then the number of students who did not opt for any of the three courses is:

MEDIUM

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

You have been asked to select a positive integer

N

which is less than

1000

, such that it is either a multiple of

4

, or a multiple of

6

, or an odd multiple of

9

. The number of such numbers is

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

The symmetric difference of set A and B is denoted by-

Important Questions on Sets, Relations and Functions

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