List of practice Questions

Which statement was the Indian Rebellion of 1857 based on?
Who wrote the book Tahqiq-i-Hind?
Who is associated with the Chittagong Armoury Raid?
Which country is the world’s leading producer of manganese?
What is the volume occupied by 2 moles of an ideal gas at standard temperature and pressure (STP)?
A parallel plate capacitor was made with two rectangular plates, each with a length of \( l = 3 \, {cm} \) and breadth of \( b = 1 \, {cm} \). The distance between the plates is \( d = 3 \, \mu{m} \). Out of the following, which are the ways to increase the capacitance by a factor of 10?
  • A. l = 30 cm, b = 1 cm, d = 1 μm
  • B. l = 3 cm, b = 1 cm, d = 30 μm
  • C. l = 6 cm, b = 5 cm, d = 3 μm
  • D. l = 1 cm, b = 1 cm, d = 10 μm
  • E. l = 5 cm, b = 2 cm, d = 1 μm


Consider the above reaction, what mass of CaCl₂ will be formed if 250 ml of 0.76 M HCl reacts with 1000 g of CaCO₃?

A satellite is launched into a circular orbit of radius \( R \) around the earth. A second satellite is launched into an orbit of radius \( 1.03R \). The time period of revolution of the second satellite is larger than the first one approximately by:
Marks obtained by all the students of class 12 are presented in a frequency distribution with classes of equal width. Let the median of this grouped data be 14 with median class interval 12-18 and median class frequency 12. If the number of students whose marks are less than 12 is 18, then the total number of students is:
Elaborate any two components of the Capital Account under the Balance of Payments Account.
Explain any two precautions pertaining to the Value Added Method of Estimation of National Income in a country.
In the line "it is indeed a single instrument, but it contains an arsenal of tools…", what does the phrase “arsenal of tools” refer to?
A reaction is of second order with respect to a reactant. How is the rate of reaction affected if the concentration of the reactant is (i) doubled, (ii) reduced to half?
Ebright's journey of becoming a leading scientist conveys a strong message to us. His inquisitiveness and competency drove him to become a great scientist. In what manner does Richard Ebright's perseverance, dedication, and inquisitiveness inspire you to pursue your dreams? (The Making of a Scientist)

A point particle of charge \( Q \) is located at \( P \) along the axis of an electric dipole 1 at a distance \( r \) as shown in the figure. The point \( P \) is also on the equatorial plane of a second electric dipole 2 at a distance \( r \). The dipoles are made of opposite charge \( q \) separated by a distance \( 2a \). For the charge particle at \( P \) not to experience any net force, which of the following correctly describes the situation?


 

Let \( \langle a_n \rangle \) be a sequence such that \( a_0 = 0 \), \( a_1 = \frac{1}{2} \), and \( 2a_{n+2} = 5a_{n+1} - 3a_n \).n= 0,1,2,3.... Then \( \sum_{k=1}^{100} a_k \) is equal to:
Rakesh and Somesh were partners in a firm sharing profits and losses in the ratio of 2 : 3. Moksh was admitted as a new partner for \( \frac{3}{5} \) share in the profits of the firm. Moksh brought \(₹~3,00,000\) as his share of capital and \(₹~6,00,000\) as his share of goodwill premium. The value of the firm’s goodwill was:
Giving valid reasons, state whether the following statements are true or false.
(i) India followed unbalanced growth during the colonial rule.
(ii) The economic policies implemented in India between 1950–1990 sought to promote regional equality.
(iii) India has become a favourable destination of outsourcing in the post-1991 period.
Explain how, Goods and Services Tax (GST) has simplified the multiplicity of taxes on goods and services.
Describe briefly a rationale behind choosing 'Self-reliance' as a planning objective for the Indian economy.
"Bio-pesticides help to reduce the ill-impacts of green revolution on soil and water bodies while promoting sustainable development." Justify the given statement with valid explanation.
Trace the relationship between Human capital and Economic growth.
A compound 'X' absorbs 2 moles of hydrogen and 'X' upon oxidation with KMnO4 - H⁺ gives the following products:
A compound 'X' absorbs 2 moles of hydrogen and 'X' upon oxidation with KMnO4
The total number of \(\sigma\) bonds present in the compound 'X' is ----.
Give reasons:
(a) Cooking is faster in a pressure cooker than in an open pan.
(b) On mixing liquid X and liquid Y, volume of the resulting solution decreases. What type of deviation from Raoult's law is shown by the resulting solution? What change in temperature would you observe after mixing liquids X and Y?
From the following information obtained from the books of KVK Ltd., calculate Net Assets Turnover Ratio and Debt Equity Ratio:

Information Table

Information Amount (₹)
Preference Share Capital8,00,000
Equity Share Capital12,00,000
General Reserve2,00,000
Balance in Statement of Profit and Loss6,00,000
15% Debentures4,00,000
12% Loan4,00,000
Revenue from Operations72,00,000