EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>JKCET 2018>Q 10

MEDIUM

JKCET

IMPORTANT

Earn 100

A set $P = {7, 21, 28, 42, 14, 0}$ is given. A relation $R$ holds on elements $a$ and $b$ of set $P$ if either $a$ is a factor of $b$ or $b$ is a factor of $a .$ The relation $R$ on the set $P$ is

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Important Questions on Set Theory and Relations

EASY

JKCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>JKCET 2018>Q 1

A

set

T

is given as

T = \{x \in R ∣ (x - 3) = (x + 4)^{2}, x < 2\} .

Which of these would be TRUE about the set

T ?

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>JKCET 2019>Q 2

If

A

and

B

are two non-empty finite sets having

3

and

4

elements respectively, then what would be the possible number of subsets of

A \times B ?

HARD

JKCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>JKCET 2018>Q 3

There is a set

P

of ordered pairs in which each pair has a vowel as first element and a consonant as second element. It is given that

M = 4^{10} .

How many elements will be there in power set of

P

?

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>JKCET 2019>Q 4

Two sets

A

and

B

have

27

and

33

elements respectively. If

(A \cup B)

contains

48

elements, then how many elements are there in

(A \cap B) ?

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>JKCET 2017>Q 5

If

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) =

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>JKCET 2019>Q 6

If there are

2

elements in a set

A,

then what would be the number of possible relations from the set

A

to set

A ?

EASY

JKCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>JKCET 2019>Q 7

If

A

and

B

are two non-empty finite sets having

3

and

4

elements respectively, then what would be the number of ordered pairs in

A \times B ?

MEDIUM

JKCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 2 - Set Theory and Relations>JKCET 2018>Q 8

Suppose

A, B

and

C

are three sets, each with three elements. The number of subsets of the set

A \times B \times C

that have at least

2

elements is