EASY

Earn 100

In a market survey you have obtained the following data which you like to examine regarding its correctness:

Did not use the brand April May June April &
May May & June April &
June April May June

Percentage answering 'Yes' $59$ $62$ $62$ $35$ $33$ $31$ $22$

50% studentsanswered this correctly

Important Questions on Sets

EASY

Mathematics>Algebra>Sets>Practical Problems on Union and Intersection of Two 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>Practical Problems on Union and Intersection of Two 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

Mathematics>Algebra>Sets>Practical Problems on Union and Intersection of Two 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>Practical Problems on Union and Intersection of Two 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>Practical Problems on Union and Intersection of Two Sets

A \subset B,

then

A Δ B

is equal to

EASY

Mathematics>Algebra>Sets>Practical Problems on Union and Intersection of Two Sets

*

is a binary operation such that

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

, then

3 * 5

EASY

Mathematics>Algebra>Sets>Practical Problems on Union and Intersection of Two Sets

If a set

A

has

4

elements, then the total number of proper subsets of set

A

, is

EASY

Mathematics>Algebra>Sets>Practical Problems on Union and Intersection of Two 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

Mathematics>Algebra>Sets>Practical Problems on Union and Intersection of Two 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>Practical Problems on Union and Intersection of Two 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>Practical Problems on Union and Intersection of Two 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>Practical Problems on Union and Intersection of Two 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>Practical Problems on Union and Intersection of Two Sets

Which one of the following is a correct statement?

EASY

Mathematics>Algebra>Sets>Practical Problems on Union and Intersection of Two Sets

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

Z

, then

4 * 3 =

_____

EASY

Mathematics>Algebra>Sets>Practical Problems on Union and Intersection of Two 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

Mathematics>Algebra>Sets>Practical Problems on Union and Intersection of Two 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

Mathematics>Algebra>Sets>Practical Problems on Union and Intersection of Two 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

Mathematics>Algebra>Sets>Practical Problems on Union and Intersection of Two 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>Practical Problems on Union and Intersection of Two 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>Practical Problems on Union and Intersection of Two 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

Did not use the brand	April	May	June	April & May	May & June	April & June	April May June
Percentage answering 'Yes'	$59$	$62$	$62$	$35$	$33$	$31$	$22$

In a market survey you have obtained the following data which you like to examine regarding its correctness: Did not use the brand April May June April & May May & June April & June April May June Percentage answering 'Yes' 59 62 62 35 33 31 22

Important Questions on Sets

Learn and Prepare for any exam you want !

In a market survey you have obtained the following data which you like to examine regarding its correctness:

Did not use the brand April May June April &
May May & June April &
June April May June

Percentage answering 'Yes' $59$ $62$ $62$ $35$ $33$ $31$ $22$