List of practice Questions

Read the following statements carefully: Statement 1: China has used the Market system mechanism without losing political commitment to create additional social and economic opportunities. Statement 2: India, Pakistan, and China have similar physical endowments but totally different Political systems.
------ indicator may be defined as the measure of the extent of demographic participation in Social and Political decision making in a Country.
"Opening up of Suez Canal helped in establishing the British monopoly control over India's foreign trade". Justify the given statement with valid arguments.
As per The Economic Times report, dated April 11, 2023: "Electric Vehicle sales cross 10 Lakh mark in financial year 2022-23." Analyse the likely impacts of this news on Gross Domestic Product (GDP) and Welfare.
Suppose, an economy is in equilibrium. From the following data, calculate investment expenditure in the economy: Given: National Income (Y) = 10,000 crore Marginal Propensity to Consume (MPC) = 0.8 Autonomous Consumption (C) = 100 crore
"With an objective to reduce inflation, government may reduce public Expenditure." Discuss the rationale behind such a step which may be taken by the Government.
If in an economy the Balance of Trade is showing a deficit of Rs.200 crore and the value of import is Rs.900 crore, then the value of exports would be Rs.----crore. (Fill up the blank with the correct alternative.)
A ball is dropped from a height ℎ to the ground. If the coefficient of restitution is 𝑒, the time required for the ball to stop bouncing is proportional to:
"In a nation like India, self employment provides an important avenue for employment generation." Defend or refute the given statement with valid arguments.
Define sustainable development.
State the public project areas where Sovereign Green Bonds are focused.
How can businesses benefit from green finance?
"Infrastructural development is an essential element to obtain the full potential of the rural sector in India". Justify the given statement with valid arguments.
"Opening up of Suez Canal helped in establishing the British monopoly control over India's foreign trade". Justify the given statement with valid arguments.
State the meaning of 'unintended accumulation of inventories'.
"With an objective to reduce inflation, government may reduce public Expenditure." Discuss the rationale behind such a step which may be taken by the Government.
The return period of a large earthquake for a given region is 200 years. Assuming that earthquake occurrence follows Poisson's distribution, the probability that it will be exceeded at least once in 50 years is _____ % (rounded off to the nearest integer).
In an underground coal mine, two fatalities and three serious bodily injuries occurred during the year 2022. The average daily employment is 1100 and annual working days is 300. The severity index as per DGMS guideline for the mine is

If ‘\(\rightarrow\)’ denotes increasing order of intensity, then the meaning of the words {charm} ---- {enamor} ------ {bewitch} is analogous to {bored} ----- _________ ---- {weary} . Which one of the given options is appropriate to fill the blank?

Among [Ti(H2O)6]3+,[NiCl4]2−,[CrO4]2−,and [Mn(H2O)6]2+, the complex that exhibits the largest molar absorptivity in the visible region of the electronic absorption spectrum is

Let \( \{(a, b) : a, b \in {R, a<b \} }\) be a basis for a topology \( \tau \) on \( {R} \). Which of the following is/are correct?

Let \( T, S : {R}^4 \to {R}^4 \) be two non-zero, non-identity \( {R} \)-linear transformations. Assume \( T^2 = T \). Which of the following is/are true?

Let \( p_1<p_2 \) be the two fixed points of the function \( g(x) = e^x - 2 \), where \( x \in {R} \). For \( x_0 \in {R} \), let the sequence \( (x_n)_{n \geq 1} \) be generated by the fixed-point iteration \[ x_n = g(x_{n-1}), \quad n \geq 1. \] Which one of the following is/are correct?

Which of the following is/are eigenvalue(s) of the Sturm–Liouville problem \[ y'' + \lambda y = 0, \quad 0 \leq x \leq \pi, \] with the boundary conditions \[ y(0) = y'(0), \quad y(\pi) = y'(\pi)? \]
The problem: Let \( f : \mathbb{R}^2 \to \mathbb{R} \) be a function such that \[ f(x, y) = \begin{cases} \left( 1 - \cos\left(\frac{x^2}{y^2}\right) \right) \sqrt{x^2 + y^2}, & \text{if } y \neq 0, x \in \mathbb{R}, \\ 0, & \text{otherwise.} \end{cases} \] Which of the following is/are correct?