Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 2>Q 14

MEDIUM

JEE Main

IMPORTANT

Earn 100

Let $R$ and $S$ be two equivalence relations in a set $A$ . Then

50% studentsanswered this correctly

Important Questions on Set Theory and Relations

EASY

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 1

Which one of the following is a null set?

EASY

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 2

Which of the following set is not a null set?

EASY

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 3

The set of all prime numbers is

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 4

In a group if

60 %

of people drink tea and

70 %

drink coffee, what is the maximum possible percentage of people drinking either tea or coffee but not both?

EASY

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 5

If

A = {x ∣ x

is a multiple of

2,

x \in N},

B = {x ∣ x

is a multiple of

5,

x \in N},

C = {x ∣ x

is a multiple of

10,

x \in N},

then

(A \cap B) \cap C =

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JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 6

Out of

800

boys in a school,

224

played cricket,

240

played hockey and

336

played basketball. Of the total,

64

played both basketball and hockey;

80

played cricket and basketball,

40

played cricket and hockey and

24

player all the three games. The number of boys who did not play any game is

EASY

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 7

Let

U

be the universal set and

A \cup B \cup C = U,

then

{\{(A - B) \cup (B - C) \cup (C - A)\}}^{'}

is equal to

EASY

JEE Main

IMPORTANT

Mathematics Crash Course JEE Main>Chapter 26 - Set Theory and Relations>Level 1>Q 8

There are

3

electives offered to the students in class of

92

(The students have a choice of not choosing any electives).

60

students opted for marketing,

80

for finance and

50

for systems,

40

students opted for both marketing and systems,

50

for both marketing and finance and

45

for both finance & systems. What is the maximum number of students who opted for all

3

electives