Teachoo MCQ Test

Case Based MCQ Quiz

Preparing for CBSE

Chapter 1 Class 12 Relation and Functions | 10 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 960
Question 1 of 10
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Question 1 of 10
A general election
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?
Select one option. Answers are shown after the test.
Question 2 of 10
A general election
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?
Select one option. Answers are shown after the test.
Question 3 of 10
A general election
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?
Select one option. Answers are shown after the test.
Question 4 of 10
A general election
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 \(\_\_\_\_\)
Select one option. Answers are shown after the test.
Question 5 of 10
A general election
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?
Select one option. Answers are shown after the test.
Question 6 of 10
An organization conducted
An organization conducted
An organization conducted bike race under 2 different categories-boys and girls. Totally there were 250 participants. Among all of them finally three from Category 1 and two from Category 2 were selected for the final race. Ravi forms two sets B and G with these participants for his college project.
Let \(B=\left\{b_1, b_2, b_3\right\} G=\left\{g_1, g_2\right\}\) where \(B\) represents the set of boys selected and G the set of girls who were selected for the final race.
Ravi decides to explore these sets for various types of relations \& functions
Ravi wishes to form all the relations possible from B to G. How many such relations are possible?
Select one option. Answers are shown after the test.
Question 7 of 10
An organization conducted
An organization conducted
An organization conducted bike race under 2 different categories-boys and girls. Totally there were 250 participants. Among all of them finally three from Category 1 and two from Category 2 were selected for the final race. Ravi forms two sets B and G with these participants for his college project.
Let \(B=\left\{b_1, b_2, b_3\right\} G=\left\{g_1, g_2\right\}\) where \(B\) represents the set of boys selected and G the set of girls who were selected for the final race.
Ravi decides to explore these sets for various types of relations \& functions
Let \(\mathrm{R}: \mathrm{B} \rightarrow \mathrm{B}\) be defined by \(\mathrm{R}=\{(x, y): x\) and y are students of same sex\}. Then this relation \(R\) is \(\_\_\_\_\)
Select one option. Answers are shown after the test.
Question 8 of 10
An organization conducted
An organization conducted
An organization conducted bike race under 2 different categories-boys and girls. Totally there were 250 participants. Among all of them finally three from Category 1 and two from Category 2 were selected for the final race. Ravi forms two sets B and G with these participants for his college project.
Let \(B=\left\{b_1, b_2, b_3\right\} G=\left\{g_1, g_2\right\}\) where \(B\) represents the set of boys selected and G the set of girls who were selected for the final race.
Ravi decides to explore these sets for various types of relations \& functions
Ravi wants to know among those relations, how many functions can be formed from B to G?
Select one option. Answers are shown after the test.
Question 9 of 10
An organization conducted
An organization conducted
An organization conducted bike race under 2 different categories-boys and girls. Totally there were 250 participants. Among all of them finally three from Category 1 and two from Category 2 were selected for the final race. Ravi forms two sets B and G with these participants for his college project.
Let \(B=\left\{b_1, b_2, b_3\right\} G=\left\{g_1, g_2\right\}\) where \(B\) represents the set of boys selected and G the set of girls who were selected for the final race.
Ravi decides to explore these sets for various types of relations \& functions
Let \(R: B \rightarrow G\) be defined by \(\mathrm{R}=\left\{\left(\mathrm{b}_1, \mathrm{~g}_1\right),\left(\mathrm{b}_2, \mathrm{~g}_2\right),\left(\mathrm{b}_3, \mathrm{~g}_1\right)\right\}\), then R is \(\_\_\_\_\)
Select one option. Answers are shown after the test.
Question 10 of 10
An organization conducted
An organization conducted
An organization conducted bike race under 2 different categories-boys and girls. Totally there were 250 participants. Among all of them finally three from Category 1 and two from Category 2 were selected for the final race. Ravi forms two sets B and G with these participants for his college project.
Let \(B=\left\{b_1, b_2, b_3\right\} G=\left\{g_1, g_2\right\}\) where \(B\) represents the set of boys selected and G the set of girls who were selected for the final race.
Ravi decides to explore these sets for various types of relations \& functions
Ravi wants to find the number of injective functions from B to G. How many numbers of injective functions are possible?
Select one option. Answers are shown after the test.