List of practice Questions

Principle: The impact of leadership styles on historical events can shape the course of nations and influence the outcomes of conflicts.
Facts: During the late 20th century, two prominent leaders emerged during a territorial dispute: X advocated for peaceful negotiations and diplomacy, while Y supported aggressive military action to assert dominance. After a series of failed internal talks, Y’s approach led to a major conflict, resulting in significant casualties and territorial loss for both sides. In contrast, X’s proposed solution, although initially rejected, eventually gained support and led to de-escalation of the conflict.
Based on the above, which of the following statements is most accurate?

Tickets for a concert were sold at Rs. 2, Rs. 4, and Re. 1. Twelve more tickets were sold at Rs. 4 instead of Rs. 2, and twice tickets were sold at Re. 1. If the total amount collected is Rs. 288, then how many tickets of Rs. 2 were sold?

Find the direction cosines of a line joining two points \( (-2, 4, -5) \) and \( (1, 2, 3) \).

Identify the correct matching pair to Calvin cycle:

If \( 3 \log x = 2 \log y = \log x + \log y + 1/5 \), then what is the value of \( xy \)?

State and prove the law of conservation of angular momentum.

If a body cools from 80°C to 50°C at room temperature of 25°C in 30 minutes, find the temperature of the body after 1 hour.

Sanjana is attempting to create an exercise plan for a 5-day week. She has decided on the following exercises – A, X, B, Y, C, in accordance with the following conditions.
I. A and Y cannot be on the consecutive days
II. C must always be followed by B
III. B and A cannot be done on alternate days
IV. X cannot be done on the first day of the week
V. No exercise can be repeated in the week
Which of the following is a valid plan?

A box is formed by a 3 m x 8 m rectangular steel-sheet on cutting the squares of length x m from its each corner to form the box without cover. Then find the maximum volume of the box so formed.

Read the following extract carefully and answer the questions that follow:
Perhaps the Earth can teach us
as when everything seems dead
and later proves to be alive.
Now I'll count up to twelve
and you keep quiet and I will go.
(a) What remains alive when everything seems dead?

The standard electrode potential for Sn\(^{4+}\)/Sn\(^{2+}\) couple is \(+0.15\ \text{V}\) and for Cu\(^{2+}\)/Cu couple is \(+0.73\ \text{V}\). These two couples are connected to make an electrochemical cell. The redox reaction is spontaneous. The cell potential will be:

Explain consumer's equilibrium by utility analysis. OR When the price of a commodity decreases from Rs. 5 per unit to Rs. 4 per unit, its demand increases from 100 units to 110 units. Calculate elasticity of demand.

Write preparation of glucose from sucrose.

What will be the output if the input is 26?

Tt alleles are pair of:

Luv and Kush were partners in a firm sharing profits and losses in the ratio of 5 : 4. On 1^st April, 2024, Rishi was admitted as a new partner for $\dfrac{2}{9}$ share in profits which he acquired equally from Luv and Kush. On the date of Rishi’s admission, the Balance Sheet of Luv and Kush showed debtors of ₹ 9,00,000 and provision for bad and doubtful debts of ₹ 90,000.
Pass necessary journal entries for treatment of provision for bad and doubtful debts on the date of Rishi’s admission in each of the following cases:
(i) Bad debts amounted to ₹ 60,000.
(ii) Bad debts amounted to ₹ 90,000.
(iii) Bad debts amounted to ₹ 1,00,000.

A, B and C are partners sharing profits in the ratio 3:2:1. C retires and his share is taken equally by A and B. The goodwill of the firm is valued at Rs 60,000. Pass journal entry for goodwill adjustment without raising Goodwill A/c.

Use any one of the following pairs of words in your own sentences to make the difference in their meanings clear:
(i) Later - Latter

When two compounds — sodium chloride and calcium chloride — are burned in a flame one by one, the flame turns into different colours.
(i) Write the name of the flame colours produced by:
Sodium chloride
Calcium chloride
(ii) Are these compounds soluble in non-polar solvents like kerosene or petrol? Justify your answer.

In which of the following reactions is a combination reaction taking place?
I. CuO + H$_2$ $\xrightarrow{\Delta}$ Cu + H$_2$O
II. ZnO + C → Zn + CO
III. 4Na + O$_2$ → 2Na$_2$O
IV. CH$_4$ + 2O$_2$ → CO$_2$ + 2H$_2$O