EASY

Earn 100

Everybody, in a class of $30$ students plays at least one of the games between cricket and football. $16$ students play football. There are 7 students who play football but do not play cricket. Find the difference between the number of students who play both the game and the number of students who play cricket only.

71.43% studentsanswered this correctly

Important Questions on Sets

EASY

Mathematics>Algebra>Sets>Sets and Their Representations

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>Sets and Their Representations

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>Sets and Their Representations

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>Sets and Their Representations

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>Sets and Their Representations

A \subset B,

then

A Δ B

is equal to

EASY

Mathematics>Algebra>Sets>Sets and Their Representations

*

is a binary operation such that

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

, then

3 * 5

EASY

Mathematics>Algebra>Sets>Sets and Their Representations

If a set

A

has

4

elements, then the total number of proper subsets of set

A

, is

EASY

Mathematics>Algebra>Sets>Sets and Their Representations

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>Sets and Their Representations

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>Sets and Their Representations

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>Sets and Their Representations

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>Sets and Their Representations

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>Sets and Their Representations

Which one of the following is a correct statement?

EASY

Mathematics>Algebra>Sets>Sets and Their Representations

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

Z

, then

4 * 3 =

_____

EASY

Mathematics>Algebra>Sets>Sets and Their Representations

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>Sets and Their Representations

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>Sets and Their Representations

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>Sets and Their Representations

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>Sets and Their Representations

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>Sets and Their Representations

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

Important Questions on Sets

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