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In which of the following days, all places on the Earth experience $12$ hours of day and $12$ hours of the night?

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Important Questions on Sets, Relations and Functions

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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

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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:

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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 $A \cap B = ?$

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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 ?

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?

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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

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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

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

*

is a binary operation such that

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

, then

3 * 5

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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

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

A \subset B,

then

A Δ B

is equal to

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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 ?

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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

=

…

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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) =

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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

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

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

Z

, then

4 * 3 =

_____

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Mathematics>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?

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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

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:

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?

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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

In which of the following days, all places on the Earth experience 12 hours of day and 12 hours of the night?

Important Questions on Sets, Relations and Functions

Learn and Prepare for any exam you want !

In which of the following days, all places on the Earth experience $12$ hours of day and $12$ hours of the night?