Mathematics Crash Course KCET (UG)>Chapter 4 - Set Theory and Relations>Exercise 1>Q 42

MEDIUM

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IMPORTANT

Earn 100

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:

36.36% studentsanswered this correctly

Important Questions on Set Theory and Relations

EASY

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IMPORTANT

Mathematics Crash Course KCET (UG)>Chapter 4 - Set Theory and Relations>Exercise 1>Q 43

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

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IMPORTANT

Mathematics Crash Course KCET (UG)>Chapter 4 - Set Theory and Relations>Exercise 1>Q 44

A = \{x | x^{2} - 9 x + 20 = 0\},

B = \{x ∣ x^{2} + 13 x + 42 = 0\},

C = \{x ∣ x^{2} - 3 x - 70 = 0\}

and the universal set

X = \{- 7, - 6, 4, 5, 10, 12\},

then

A \cap (B \cap C) =

EASY

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IMPORTANT

Mathematics Crash Course KCET (UG)>Chapter 4 - Set Theory and Relations>Exercise 1>Q 45

If

A = \{1, 2, 5, 6\}

and

B = \{1, 2, 3\}

, then what is

(A \times B) \cap (B \times A)

equal to?

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IMPORTANT

Mathematics Crash Course KCET (UG)>Chapter 4 - Set Theory and Relations>Exercise 1>Q 46

Let

R = {x ∣ x \in N, x

is a multiple of

3

and

x \leq 100}

,

S = {x ∣ x \in N, x

is a multiple of

5

and

x \leq 100}

. What is the number of elements in

(R \times S) \cap (S \times R) ?

EASY

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IMPORTANT

Mathematics Crash Course KCET (UG)>Chapter 4 - Set Theory and Relations>Exercise 1>Q 47

If

R = \{(x, y) ∣ x, y \in Z, x^{2} + y^{2} \leq 4\}

is a relation in

Z,

then domain of

R

is

EASY

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IMPORTANT

Mathematics Crash Course KCET (UG)>Chapter 4 - Set Theory and Relations>Exercise 1>Q 48

If

A = \{1, 2\}, B = \{2, 3\}

and

C = \{3, 4\}

, then what is the cardinality of

(A \times B) \cap (A \times C) ?

EASY

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IMPORTANT

Mathematics Crash Course KCET (UG)>Chapter 4 - Set Theory and Relations>Exercise 1>Q 49

If

A

is a finite set having

n

elements, then the number of relations which can be defined in

A

is

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IMPORTANT

Mathematics Crash Course KCET (UG)>Chapter 4 - Set Theory and Relations>Exercise 1>Q 50

Let

A = \{2, 3, 4, 5, \dots, 16, 17, 18\}

and

' *'

be an equivalence relation on

A \times A

defined by

(a, b) * (c, d)

if

a d = b c

. Then, the number of ordered pairs of an equivalence class of

(3, 2)

is