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Maths Relations and Functions Class 12 Case Based MCQ Questions | CBSE Case Based MCQ Quiz

Question 1 of 10

A general election

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:
$\mathrm{R}=\left\{\left(V_1, V_2\right): V_1, V_2 \in I\right.$ and both use their voting right in general election - 2019\}

Two neighbors $\mathrm{X} \& \mathrm{Y} \in \mathrm{I} . \mathrm{X}$ exercised his voting right while Y did not cast her vote in general election- 2019. Which of the following is true?

A $(X, Y) \in R$ B $(Y, X) \in R$ C $(X, X) \notin R$ D $(X, Y) \notin R$

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Question 2 of 10

A general election

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:
$\mathrm{R}=\left\{\left(V_1, V_2\right): V_1, V_2 \in I\right.$ and both use their voting right in general election - 2019\}

Mr. ' $X$ ' and his wife ' $W$ ' both exercised their voting right in general election -2019. Which of the following is true?

A both $(X, W)$ and $(W, X) \in R$ B $(X, W) \in R$ but $(W, X) \notin R$ C both $(\mathrm{X}, \mathrm{W})$ and $(\mathrm{W}, \mathrm{X}) \notin \mathrm{R}$ D $(W, X) \in R$ but $(X, W) \notin R$

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Question 3 of 10

A general election

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:
$\mathrm{R}=\left\{\left(V_1, V_2\right): V_1, V_2 \in I\right.$ and both use their voting right in general election - 2019\}

Three friends $F_1, F_2$ and $F_3$ exercised their voting right in general election-2019, then which of the following is true?

A $\left(F_1, F_2\right) \in R,\left(F_2, F_3\right) \in R$ and $\left(F_1, F_3\right) \in R$ B $\left(F_1, F_2\right) \in R,\left(F_2, F_3\right) \in R$ and $\left(F_1, F_3\right) \notin R$ C $\left(F_1, F_2\right) \in R,\left(F_2, F_2\right) \in R$ but $\left(F_3, F_3\right) \notin R$ D $\left(F_1, F_2\right) \notin R,\left(F_2, F_3\right) \notin R$ and $\left(F_1, F_3\right) \notin R$

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Question 4 of 10

A general election

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:
$\mathrm{R}=\left\{\left(V_1, V_2\right): V_1, V_2 \in I\right.$ and both use their voting right in general election - 2019\}

The above defined relation $R$ is $\_\_\_\_$

A Symmetric and transitive but not reflexive B Universal relation C Equivalence relation D Reflexive but not symmetric and transitive

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Question 5 of 10

A general election

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:
$\mathrm{R}=\left\{\left(V_1, V_2\right): V_1, V_2 \in I\right.$ 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?

A All those eligible voters who cast their votes B Family members of Mr. Shyam C All citizens of India D Eligible voters of India

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Question 6 of 10

Sherlin and Danju

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 $R: B \rightarrow B$ be defined by $\mathrm{R}=\{(x, y): y$ is divisible by $x\}$ is

A Reflexive and transitive but not symmetric B Reflexive and symmetric and not transitive C Not reflexive but symmetric and transitive D Equivalence

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Question 7 of 10

Sherlin and Danju

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?

A $6^2$ B $2^6$ C 6 ! D $2^{12}$

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Question 8 of 10

Sherlin and Danju

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

A Symmetric B Reflexive C Transitive D None of these three

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Question 9 of 10

Sherlin and Danju

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?

A $6^2$ B $2^6$ C 6 ! D $2^{12}$

Select an option to see the answer, or skip this question.

Question 10 of 10

Sherlin and Danju

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 $R: B \rightarrow B$ be defined by $\mathrm{R}=\{(1,1),(1,2),(2,2),(3,3),(4,4),(5,5)$, $(6,6)\}$, then $R$ is

A Symmetric B Reflexive and Transitive C Transitive and symmetric D Equivalence

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