List of practice Questions

If \( y = \tan(\log x) \), then \( \frac{d^2y}{dx^2} \) is given by:

What letter replaces the question mark?

Draft an E-mail to the manager of a company to request him/her to give you an opportunity as an apprentice to serve you as an experience for your career development.

One example of the use of an S-R flip-flop is

If the mean and variance of a binomial distribution are \( 18 \) and \( 12 \) respectively, then the value of \( n \) is __________.

Choose the correct coordinating clause: 'It stopped raining and the traffic started rushing.'

Spot the error in the given sentence:
\(\underline{\text{He will not} }\)\(\underline{\text{escape punishment unless}}\) \(\underline{\text{he does not speak}}\) \(\underline{\text{the truth}. }\)

If \( A \subseteq \mathbb{Z} \) and the function \( f: A \to \mathbb{R} \) is defined by \[ f(x) = \frac{1}{\sqrt{64 - (0.5)^{24+x- x^2} }} \] then the sum of all absolute values of elements of \( A \) is:

If a ray of light takes \(t_1\) and \(t_2\) times in two media of absolute refractive indices \(\mu_1\) and \(\mu_2\) respectively to travel same distance, then the relation between the times and refractive indices is:

cos \( A \cos 2A \) is equal to:

The standard electrode potential for Ni²⁺/Ni couple is -0.25 V and for Ag⁺/Ag couple is 0.80 V. These two couples are connected to make an electrochemical cell. The redox reaction is spontaneous. The cell potential will be:

Explain the changes that were observed in India's occupational structure during the British rule.

If sin²θ+ cosec²θ = 6, then sin θ + cosec θ =

If the maximum number of neighbours of a nucleon within the range of nuclear force is \( p \) and \( k \) is a constant, then the binding energy per nucleon is approximately:

Calculate the number density of free carriers in silver, assuming that each atom contributes one carrier. The density of silver is \( 10.5 \times 10^3 \, \text{kg/m}^3 \) and the atomic weight is 107.8.

Find the integrating factor of the differential equation \( \sin x \frac{dy}{dx} - y \cos x = 1 \):

When 54 g of ice at \(-20^\circ C\) is mixed with 25 g of steam at \(100^\circ C\), then the final mixture at thermal equilibrium contains:

Which enzyme converts glucose and fructose both into ethanol?

A ball falls freely from rest from a height of 6.25 m onto a hard horizontal surface. If the ball reaches a height of 81 cm after the second bounce from the surface, the coefficient of restitution is:

What is the correct IUPAC name for the following compound?

What is the major product formed when phenol is treated with sodium dichromate (\( \text{Na}_2\text{Cr}_2\text{O}_7 \)) and sulfuric acid (\( \text{H}_2\text{SO}_4 \))?

Consider the statements P and P: Client’s Preliminary Estimate is used for budgeting costs toward the end of planning and design phase. Q: Client’s Detailed Estimate is used for controlling costs during the execution of the project. Which one of the following options is CORRECT?

Match the minerals in Group I with their highest order of interference color in Group II (for 0.03 mm mineral thickness).

Group I	Group II
P. Sillimanite	1. First order
Q. Quartz	2. Second order
R. Muscovite	3. Greater than third order
S. Calcite	4. Third order variegated

The camber prescribed by the I.R.C. for cement concrete or high type bituminous roads in percentage is

Identify the ulcer: