CBSE Past Year MCQ Quiz

Question 1 of 3

CBSE Board Exam 2026

Assertion (A) : A relation R on the set \(\{1,2,3\}\) defined as \(\mathrm{R}=\{(1,1),(1,2),(2,1),(2,2),(3,3)\}\) is an equivalence relation.

Reason (R) : A relation that is reflexive, symmetric and transitive is an equivalence relation.

A Both A and R are true, and R is the correct explanation of A. B Both A and R are true, but R is not the correct explanation of A. C A is true, but R is false. D A is false, but R is true.

Select one option. Answers are shown after the test.

Question 2 of 3

CBSE Board Exam 2026

A relation \(R\) on set \(A=\{1,2,3\}\) is defined as \(R=\{(1,3),(3,3),(1,1),(2,2)\), (3, 1)\} is

A only reflexive and symmetric B reflexive only C only reflexive and transitive D reflexive, symmetric and transitive

Select one option. Answers are shown after the test.

Question 3 of 3

CBSE Board Exam 2024

A function \(f: R \rightarrow A\) defined as \(f(x)=x^2+1\) is onto, if \(A\) is :

A \((-\infty, \infty)\) B \((1, \infty)\) C \([1, \infty)\) D \([-1, \infty)\)

Select one option. Answers are shown after the test.

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