List of practice Questions

\[ \begin{array}{|c|l|r|} \hline \textbf{S.No.} & \textbf{Items} & \textbf{Amount (in $ \text{Rs.} $ Crore)} \\ \hline (i) & \text{Tax Receipts} & 1,200 \\ \hline (ii) & \text{Revenue Expenditure} & 3,700 \\ \hline (iii) & \text{Non-Tax Receipts} & 2,000 \\ \hline (iv) & \text{Recovery of Loans} & 145 \\ \hline (v) & \text{Capital Expenditure} & 500 \\ \hline (vi) & \text{Disinvestment} & 120 \\ \hline (vii) & \text{Interest Payments} & 1,070 \\ \hline \end{array} \]

Distinguish between direct tax and indirect tax with the help of examples.

For a given square, if the area of its incircle is $100 𝑐𝑚^2$ , then the area of its circumcircle is __________ $𝑐𝑚^2$ (rounded off to the nearest integer).

An ocean wave of period 8 s and height 2 m is propagating in the Indian Ocean from south to north. According to linear wave theory, for the wave to be considered as a deep-water wave, the minimum water depth should be …………. (rounded off to the nearest integer).

Complete the following table. Construct the consumption function at ₹ 200 crore level of income. \[ \begin{array}{|c|c|c|c|} \hline \textbf{Income (Y)} & \textbf{Savings (S)} & \textbf{(APC)} & \textbf{(MPS)} \\ \hline 0 & -50 & -- & -- \\ \hline 100 & 0 & 1 & 0.5 \\ \hline 200 & 50 & \frac{3}{4} & 0.5 \\ \hline 300 & 100 & \frac{2}{3} & 0.5 \\ \hline \end{array} \]

"If actual demand for final goods falls short of the actual output of final goods corresponding to full employment level, it may lead to an unintended accumulation of inventories."
Do you agree with the given statement? Give valid reasons in support of your answer.

Reserve Bank of India undertakes the important function of managing the government’s banking transactions.
Discuss the above-stated function performed by the Reserve Bank of India.

"Depreciation of currency may promote exports of a nation."
Defend or refute the given statement with valid arguments.

Consider a gas turbine combustor with air as the working fluid. The flow enters the device at 500 K and leaves at 1400 K with a mass flow rate of 0.1 kg/s. The changes in kinetic energy and potential energy of the flow are neglected. Assuming $ C_p = 0.717 \, \text{kJ/kg-K} $ and $ R = 0.287 \, \text{kJ/kg-K} $, the rate of heat addition is kW (rounded off to the nearest integer).

Consider a circular cylinder of diameter 0.5 m and length 2 m, rotating in clockwise direction at a speed of 100 rpm in a flow of velocity 2 m/s. Assume the density of the fluid as 1.225 kg/m$^3$ and $ \pi = 3.14 $. By Kutta-Joukowski theorem, the lift force on the cylinder is $\_\_\_\_\_$ N (rounded off to the nearest integer).

A new absolute temperature scale is proposed based on a Carnot engine operating between hot and cold reservoirs of temperatures $T_L$ and $T_H$ respectively. Let $Q_L$ and $Q_H$ be the respective heat transfers, with the relation given by $ \frac{T_L}{T_H} = \frac{Q_L}{Q_H} $. On the new scale, the difference between the steam and ice points of water is 500 units and the efficiency of the engine is 0.268. The steam point of water on this scale is .......... units (rounded off to the nearest integer).

"Accommodating transactions are undertaken to maintain stability in the Balance of Payments Account."
Justify the given statement with a valid explanation.

A ship travelling in head seas experiences a bending moment of 200 MN-m. The ship’s cross-section is assumed to be a box girder of 30 m beam and 10 m depth with a 10 mm plate thickness. The maximum bending stress is \_\_\_ MPa (rounded off to the nearest integer).

Consider model testing where $ \lambda $ is the prototype-to-model length scale ratio. Let $ v_p $ and $ v_m $ denote the corresponding fluid kinematic viscosities. If Froude and Reynolds similarities are maintained between the prototype and model, then which one of the following is correct?

In the solution of statically indeterminate problems, Castigliano’s second theorem employs the

A ship with a displacement of 10,000 tonnes has the center of gravity at 4 m above the keel and 1.5 m forward of midship. If 2,000 tonnes of cargo is placed at 10 m above the keel and 1.5 m aft of midship, then the new position of the center of gravity is:

The waterplane area of a ship floating in seawater is $2000 \, \text{m}^2$. The density of seawater is $1025 \, \text{kg/m}^3$. If a mass of $246 \, \text{tonnes}$ is added to the ship, then the TPC (Tonnes Per Centimeter immersion) and increase in draft (in cm) respectively are:

Which of the following statement(s) is/are correct for a thermodynamic closed system?

For a plane strain problem in the $ xy $ plane, it is necessary that:

For positive non-zero real variables $ p $ and $ q $, if \[ \log \left( p^2 + q^2 \right) = \log p + \log q + 2 \log 3, \] then the value of $ \frac{p^4 + q^4}{p^2 q^2} $ is:

A rectangular paper sheet of dimensions $ 54 \, \text{cm} \times 4 \, \text{cm} $ is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken. Then, the ratio of the volume of the cylindrical tube to the volume of the cube is:

If $ \rightarrow $ denotes increasing order of intensity, then the meaning of the words [dry $ \rightarrow $ arid $ \rightarrow $ parched] is analogous to [diet $ \rightarrow $ fast $ \rightarrow $ $\_\_\_\_\_\_\_\_$]. Which one of the given options is appropriate to fill the blank?

Consider the following sample of numbers: \[ 9, 18, 11, 14, 15, 17, 10, 69, 11, 13 \] The median of the sample is:

The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is:

Read the following statements carefully:
Statement 1: Money is a commodity which is generally accepted as a medium of exchange.
Statement 2: Money solved the problem of double coincidence of wants.