List of practice Questions

Choose the correct statements regarding the Mukhyamantri Gram Sadak Evam Vikas Yojana (Chief Minister's Rural Road and Development Scheme): (I) This scheme has been implemented in the state since 23 April 2011.
(II) It is 100% state-funded.
(III) Under this scheme, rural unemployed persons are provided employment for 100 days.
(IV) Its management is based on public participation.

Arrange the following educational events in chronological order (year-wise):
1948-49, 1952-53, 1964-66, 2020
(a) Indian Education Commission
(b) University Education Commission
(c) Secondary Education Commission
(d) National Education Policy

Which sector contributes the most (highest percentage) to the Gross Domestic Product of Chhattisgarh?

Direction : For the below Assertion [As] and Reason [R] choose the correct alternative- Assertion [As] : There has been huge increase in the frequency of water inundation and floods in the Brahmaputra Plaine. Reason [R] : The slope of the Brahmaputra Plaine is very slow. Options :

Sequence the following stages in the correct order for promoting value education in schools as per NCF 2023-
(a) Encouraging critical thinking and reflection.
(b) Building a value-based school culture.
(c) Integrating values into the curriculum.
(d) Assessing student learning and progress.
Options :

What is a key benefit of sports-integrated learning, as emphasized in NEP 2020?

NCF 2005 gives importance to which other curriculum areas, apart from various subjects? (A) Art Education
(B) Health and Physical Education
(C) Work and Education
(D) Education for Peace

A car accelerates uniformly from rest to a speed of 20 m/s in 8 seconds. What is the distance covered by the car during this time?

Evaluate $ \lim_{x \to 2} \frac{x^2 - 4}{x - 2} $.

A current of 2 A is passed through molten CaCl$_2$ for 1930 seconds. What is the mass of calcium deposited at the cathode? (Ca molar mass = 40 g/mol, valency = 2, Faraday's constant = 96500 C/mol)

The general solution of the equation \[ 2\sin^2 \theta - \cos^2 \theta = \sin \theta \]

Let $z_1 = 3 + 4i$ and $z_2 = 1 - 2i$. Then the argument of $\frac{z_1}{z_2}$ is:

The mean of 6 numbers is 15, and the standard deviation is 2. If each number is increased by 5, what is the new standard deviation?

The sum of the first 10 terms of an arithmetic progression is 145, and the first term is 1. Find the common difference.

A total charge $q$ is uniformly distributed over a circular ring of radius $R$. The ring is rotated about its axis with angular velocity $\omega$. Find the magnetic dipole moment of the ring.

A charged particle of mass $ m $ and charge $ q $ moves with a velocity $ \vec{v} $ perpendicular to a magnetic field $ \vec{B} $. The radius of the circular path it follows is:

If the arithmetic mean of the terms $a, a + d, a + 2d, ..... a + (2n)d$ is 35 and the sum of the series is 735, then the value of $n$ is:

If $ \sin \theta = \frac{3}{5} $ and $ \theta $ is in the first quadrant, find the value of $ \tan \theta $.

Calculate the volume occupied by 4.4 g of CO$_2$ gas at 27°C and 1 atm pressure. ($ R = 0.0821 \, \text{L-atm/mol-K} $, Molar mass of CO$_2$ = 44 g/mol)

In a redox titration, 25 mL of 0.1 M KMnO$_4$ is required to completely react with oxalic acid in acidic medium. The volume of 0.2 M oxalic acid used is:
(Balanced reaction: $ 2\text{MnO}_4^- + 5\text{C}_2\text{O}_4^{2-} + 16\text{H}^+ \rightarrow 2\text{Mn}^{2+} + 10\text{CO}_2 + 8\text{H}_2\text{O} $)

One mole of an ideal gas at 300 K is compressed isothermally from a volume of $V_1$ to $V_2$. Calculate:
The work done on the gas
The change in internal energy
The heat exchanged with the surroundings
Use $R = 8.314\, \text{J/molK}$, $ \ln(2.5) = 0.916$