CBSE Past Year MCQ Quiz

Question 1 of 3

CBSE Board Exam 2026

The rate of change of volume of a sphere with respect to its diameter, when its radius is 5 cm, is :

A \(400 \pi \mathrm{~cm}^3 / \mathrm{cm}\) B \(100 \pi \mathrm{~cm}^3 / \mathrm{cm}\) C \(50 \pi \mathrm{~cm}^3 / \mathrm{cm}\) D \(25 \pi \mathrm{~cm}^3 / \mathrm{cm}\)

Select one option. Answers are shown after the test.

Question 2 of 3

CBSE Board Exam 2024

The point of inflexion of a function \(f(x)\) is the point where

A \(f^{\prime}(x)=0\) and \(f^{\prime}(x)\) changes its sign from positive to negative from left to right of that point. B \(f^{\prime}(x)=0\) and \(f^{\prime}(x)\) changes its sign from negative to positive from left to right of that point. C \(f^{\prime}(x)=0\) and \(f^{\prime}(x)\) does not change its sign from left to right of that point. D \(\mathrm{f}^{\prime}(\mathrm{x}) \neq 0\).

Select one option. Answers are shown after the test.

Question 3 of 3

CBSE Board Exam 2025

The function \(\mathrm{f}(x)=x^2-4 x+6\) is increasing in the interval

A \((0,2)\) B \((-\infty, 2]\) C \([1,2]\) D \([2, \infty)\)

Select one option. Answers are shown after the test.

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.

Time remaining 216

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