List of practice Questions

Sucrose, which is dextrorotatory in nature, after hydrolysis gives glucose and fructose, among which:
(i) Glucose is laevorotatory and fructose is dextrorotatory.
(ii) Glucose is dextrorotatory and fructose is laevorotatory.
(iii) The mixture is laevorotatory.
(iv) Both are dextrorotatory.

In the given figure, two equal positive point charges $ q_1 = q_2 = 2.0 \mu C $ interact with a third point charge $ Q = 4.0 \mu C $. The magnitude and direction of the net force on $ Q $ is:
\includegraphics[width=0.5\linewidth]{35.png}

Which of the following cannot be made by using Williamson's synthesis?

$ P_A $ and $ P_B $ are the vapor pressures of pure liquid components A and B, respectively, in an ideal binary solution. If $ X_A $ represents the mole fraction of component A, the total pressure of the solution will be:

In which of the following situations Indian Penal Code, 1860 may not apply?
i. An offence committed by Indians outside India.
ii. An offence committed by any person on any ship registered in India.
iii. Any person committing offence targeting computer resources located in any country.

Which one of the following curves represents the variation of impedance $ (Z) $ with frequency $ f $ in a series LCR circuit?

A convex lens has power $ P $. It is cut into two halves along its principal axis. Further, one piece (out of the two halves) is cut into two halves perpendicular to the principal axis (as shown in figure). Choose the incorrect option for the reported pieces.
\includegraphics[width=0.5\linewidth]{27.png}

A Carnot engine takes $ 3 \times 10^6 $ cal of heat from a reservoir at $ 627^\circ C $, and gives it to a sink at $ 27^\circ C $. The work done by the engine is:

Assertion :
The binding energy of the nucleus increases with the increase in atomic number.
Reason :
Heavier elements have a greater number of non-radioactive isotopes than radioactive isotopes.

Two identical blocks A and B, each of mass 'm' resting on a smooth floor are connected by a light spring of natural length L and spring constant K, with the spring at its natural length. A third identical block 'C' (mass m) moving with a speed v along the line joining A and B collides with A. the maximum compression in the spring is

Light of wavelength $ \lambda_A $ and $ \lambda_B $ falls on two identical metal plates A and B respectively. The maximum kinetic energy of photoelectrons is $ K_A $ and $ K_B $ respectively. Given that $ \lambda_A = 2\lambda_B $, which one of the following relations is true?

The shortest distance between the lines $ x = y + 2 = 6z - 6 $ and $ x + 1 = 2y = -12z $ is:

What is the approximate percentage increase in the production of Monopoly from 1993 to 1995?

Which of the following is material for deciding the jurisdiction of the Civil Court in the light of the Code of Civil Procedure, 1908?

The molar conductivities at infinite dilution for Na₂SO₄,K₂S0_4,KCl, HCl and HCOONa at 300K are 260, 308, 150, 426, and 105 S cm² mol^-1, respectively. What will be A⁺m for formic acid in the same unit?

A disc is rolling without slipping on a surface. The radius of the disc is $ R $. At $ t = 0 $, the topmost point on the disc is $ A $ as shown in the figure. When the disc completes half of its rotation, the displacement of point $ A $ from its initial position is:

What is biodiversity hotspot?

Minimise $z = 3x + 8y$ subject to: \[ 3x + 4y \geq 8, 5x + 2y \geq 11, x \geq 0,\; y \geq 0. \]

Let f(z) = u + iv be an analytic function, where u = x³-3xy² +3x² -3y², then the imaginary part v of f(z) is

Calculate the current flowing through two long parallel wires carrying equal currents and separated by a distance of 1.35 cm, experiencing a force per unit length of $ 4.76 \times 10^{-2} \, \text{N/m} $.

Shown in the image above is an example of a bus stop during the busy hours. Draw and annotate FIVE distinct design problems in this context.
Use only one visual for each problem.
Answer in the given space only.

Evaluation Criteria:
Severity of the identified problem
Ability to make distinct observations
Ability to communicate through visuals

An abstract three-dimensional form is shown below. Visualize the form of a cutlery set (fork, bowl, and glass) for 3-6 years old children based on the image of the given form. It should match the design language with relevant details. Sketch and render the form of the cutlery set.

Evaluation Criteria:
Consistency with the visual language of the form
Form should complement function
Relevant details of the product
Surface shading
Quality of lines/strokes