Test: Relations and Functions- Case Based Type Questions- 1 - JEE MCQ

Direction: Read the following text and answer the following questions on the basis of the same:

Sherlin and Danju are playing Ludo at home during Covid-19. While rolling the dice, Sherlin’s sister Raji observed and noted the possible outcomes of the throw every time belongs to set {1, 2, 3, 4, 5, 6}. Let A be the set of players while B be the set of all possible outcomes.

A = {S, D}, B = {1, 2, 3, 4, 5, 6}

Let R be a relation on B defined by R = {(1, 2), (2, 2), (1, 3), (3, 4), (3, 1), (4, 3), (5, 5)}. Then R is

Direction: Read the following text and answer the following questions on the basis of the same:

A general election of Lok Sabha is a gigantic exercise. About 911 million people were eligible to vote and voter turnout was about 67%, the highest ever Let I be the set of all citizens of India who were eligible to exercise their voting right in general election held in 2019. A relation ‘R’ is defined on I as follows:

ONE – NATION

ONE – ELECTION

FESTIVAL OF DEMOCRACY

GENERAL ELECTION - 2019

R = {(V₁, V₂) : V₁, V₂ ∈ I and both use their voting right in general election – 2019}

The above defined relation R is __________

Direction: Read the following text and answer the following questions on the basis of the same:

Sherlin and Danju are playing Ludo at home during Covid-19. While rolling the dice, Sherlin’s sister Raji observed and noted the possible outcomes of the throw every time belongs to set {1, 2, 3, 4, 5, 6}. Let A be the set of players while B be the set of all possible outcomes.

A = {S, D}, B = {1, 2, 3, 4, 5, 6}

Let R : B → B be defined by R = {(x, y) : y is divisible by x} is

Direction: Read the following text and answer the following questions on the basis of the same:

A general election of Lok Sabha is a gigantic exercise. About 911 million people were eligible to vote and voter turnout was about 67%, the highest ever Let I be the set of all citizens of India who were eligible to exercise their voting right in general election held in 2019. A relation ‘R’ is defined on I as follows:

ONE – NATION

ONE – ELECTION

FESTIVAL OF DEMOCRACY

GENERAL ELECTION - 2019

R = {(V₁, V₂) : V₁, V₂ ∈ I and both use their voting right in general election – 2019}

Mr. Shyam exercised his voting right in General Election - 2019, then Mr. Shyam is related to which of the following?

Direction: Read the following text and answer the following questions on the basis of the same:

Sherlin and Danju are playing Ludo at home during Covid-19. While rolling the dice, Sherlin’s sister Raji observed and noted the possible outcomes of the throw every time belongs to set {1, 2, 3, 4, 5, 6}. Let A be the set of players while B be the set of all possible outcomes.

A = {S, D}, B = {1, 2, 3, 4, 5, 6}

Raji wants to know the number of relations possible from A to B. How many numbers of relations are possible?

Direction: Read the following text and answer the following questions on the basis of the same:

A general election of Lok Sabha is a gigantic exercise. About 911 million people were eligible to vote and voter turnout was about 67%, the highest ever Let I be the set of all citizens of India who were eligible to exercise their voting right in general election held in 2019. A relation ‘R’ is defined on I as follows:

ONE – NATION

ONE – ELECTION

FESTIVAL OF DEMOCRACY

GENERAL ELECTION - 2019

R = {(V₁, V₂) : V₁, V₂ ∈ I and both use their voting right in general election – 2019}

Three friends F₁, F₂ and F₃ exercised their voting right in general election-2019, then which of the following is true?

Direction: Read the following text and answer the following questions on the basis of the same:

Sherlin and Danju are playing Ludo at home during Covid-19. While rolling the dice, Sherlin’s sister Raji observed and noted the possible outcomes of the throw every time belongs to set {1, 2, 3, 4, 5, 6}. Let A be the set of players while B be the set of all possible outcomes.

A = {S, D}, B = {1, 2, 3, 4, 5, 6}

Raji wants to know the number of functions from A to B. How many number of functions are possible?