List of practice Questions

The following information has been extracted from the books of Ram Lal Ltd.:

Comparative Financial Data as on 31^st March, 2024 and 2023

Particulars	31.03.2024 (₹)	31.03.2023 (₹)
Surplus (P&L)	17,00,000	8,00,000
Patents	--	50,000
Sundry Debtors	5,80,000	4,20,000
Sundry Creditors	1,40,000	60,000
Cash and Cash Equivalents	2,00,000	90,000

Additional Information: Interim dividend paid during the year was \textrupee{ 1,20,000}.

“Under the British rule, India underwent systematic economic exploitation with its resources and wealth being diverted to Britain.” Justify the given statement with valid explanation.

What shows that Charley was clumsy and absent-minded? (The Third Level)

In the context of Beck's Cognitive Behavior Therapy, arrange the following circumstances in sequence that lead towards psychological disorder.
A. Negative affect
B. Illogical ideas
C. Depression
D. Negative thoughts, memories, ideas
Choose the correct answer from the options given below:

Let the points \( \left( \frac{11}{2}, \alpha \right) \) lie on or inside the triangle with sides \( x + y = 11 \), \( x + 2y = 16 \), and \( 2x + 3y = 29 \). Then the product of the smallest and the largest values of \( \alpha \) is equal to:

If the orthocentre of the triangle formed by the lines $ y = x + 1 $, $ y = 4x - 8 $, and $ y = mx + c $ is at $ (3, -1) $, then $ m - c $ is:

Rearrange the following phrases into a meaningful sentence. The beginning of the sentence has been given below. Read the options and find out which of the four combinations is correct:-
Premature greying of the workforce...
(A) on productivity and
(B) long term economic growth
(C) has a negative effect
(D) required for large economies
Choose the correct answer from the options given below:

Solve the following Linear Programming Problem using graphical method : Maximize \( Z = 100x + 50y \) subject to the constraints \[ 3x + y \leq 600, \quad x + y \leq 300, \quad y \leq x + 200, \quad x \geq 0, \quad y \geq 0. \]

A "Career Guidance and Counselling" workshop is to be held in your school. As the president of the cultural club, write a notice to inform the students about it and invite registrations from classes XI - XII. Include other necessary details. Put your notice in a box.

The integrating factor of the differential equation \( \frac{dy}{dx} + y = \frac{1 + y}{x} \) is:

The Maximum number of RBr producing 2-methylbutane by above sequence of reaction

Direction cosines of a vector perpendicular to $ \mathbf{a} = \hat{i} + 2\hat{j} + 3\hat{k} $ and $ \mathbf{b} = 2\hat{i} - \hat{j} + \hat{k} $ are:

For a Linear Programming Problem, find min \( Z = 5x + 3y \) (where \( Z \) is the objective function) for the feasible region shaded in the given figure.

Choose the word that best fits the blank in the sentence below: "Despite his remarks, the audience found his ideas intriguing and thought-provoking."

The first isolated restriction endonuclease was:

AB and CD are diameters of a circle with centre O and radius 7 cm. If \(\angle BOD = 30^\circ\), then find the area and perimeter of the shaded region.

Explain the role of public facilities for quality of life.

Find the correct statement/statements. (A) Goods which are consumed together are called complementary goods.
(B) The market demand curve can be derived as a vertical summation of the individual demand curves.
(C) Price elasticity of demand is a measure of the responsiveness of the demand for a good to changes in its price.
(D) If the consumer’s preferences change in favor of a good, the demand curve for such a good shifts leftward.

In a code language, 'TIGER' is written as 'JUISF'. How will 'EQUAL' be written in that language?

What is the standard electrode potential for the reduction half-reaction \( \text{Cu}^{2+} + 2e^- \rightarrow \text{Cu} \)?

Analyze how Wells employs humour, rhyme, and exaggerated traits to not only entertain, but also educate readers about various wild animals. Explain.
(How to Tell Wild Animals)

In case of association, abnormal molar mass of solute will:

Find the focal length of the plano-convex lens of refractive index 1.5 and radius of curvature 10 cm when it is immersed in a liquid of refractive index 1.25.

If $ \tan \theta + \cot \theta = 4 $, then find the value of $ \tan^3 \theta + \cot^3 \theta $.

Which of the following circuits has the same output as that of the given circuit?

circuits has the same output as that of the given circuit