What is the GDP growth rate for India in 2019-20 projected by the International Monetary Fund (IMF)?
This question asks for a specific economic projection made by an international organization for a particular fiscal year. To answer this, one needs to recall or be aware of the economic forecasts released by the International Monetary Fund (IMF) for India's GDP growth rate for the 2019-20 fiscal year.
B) 7.5% — The International Monetary Fund (IMF) had projected India's GDP growth rate for the fiscal year 2019-20 to be 7.5% in its various reports during that period. For instance, in its World Economic Outlook update in July 2019, the IMF maintained India's growth projection at 7.5% for 2019-20.
How many rectangles are there in the following figure?
To determine the number of rectangles in the given figure, we need to count all possible rectangles formed by the intersecting lines. A rectangle is defined by selecting two horizontal lines and two vertical lines.
Correct Option: B) 20
Which of the answer figures is formed from the shapes given the problem figure?
Problem figure:
Answer figure:
The task is to determine which answer figure can be formed using the shapes provided in the problem figure.
Correct Option: A) The rectangle and triangle are correctly combined.
The task is to identify which assumption(s) are implicitly conveyed by the given statement. An assumption is something taken for granted or supposed without proof. We need to analyze each assumption in relation to the statement: "Too much urbanisation leads to mass pollution of land and water."
Based on this analysis, only Assumption I is implicit in the statement.
D) Only assumption I is implicit
An object floats in water with one-third of its volume under water. The density of the object is n times the density of water, where n is:
\( \frac{1}{6} \)
\( \frac{1}{3} \)
\( \frac{1}{4} \)
\( \frac{1}{2} \)
When an object floats in a fluid, the buoyant force acting on the object is equal to the weight of the object. This principle is known as Archimedes' principle. We will use this principle to relate the density of the object to the density of the water.
Define variables:
Apply the principle of flotation:
For a floating object, the weight of the object is equal to the buoyant force.
Express weight of the object:
The weight of the object is its mass times the acceleration due to gravity (\(g\)). Mass is density times volume.
Express buoyant force:
According to Archimedes' principle, the buoyant force is equal to the weight of the fluid displaced by the submerged part of the object.
Equate the forces:
Substitute the expressions for weight and buoyant force into the flotation principle equation:
Substitute the submerged volume:
We are given \(V_{sub} = \frac{1}{3}V\). Substitute this into the equation:
Solve for \(\rho_o\) in terms of \(\rho_w\):
Cancel \(V\) and \(g\) from both sides of the equation:
Determine n:
The problem states that the density of the object is \(n\) times the density of water, i.e., \(\rho_o = n \rho_w\). Comparing this with our result, we find:
Correct Option: B) \( \frac{1}{3} \)
The density of the object is one-third the density of water, which means \(n = \frac{1}{3}\).
The question asks to identify the state animal of Haryana. This is a factual question related to the general knowledge of Indian states and their symbols.
Correct Option: B) Blackbuck is the state animal of Haryana. It is an antelope species native to India and Nepal, known for its distinctive spiraling horns and contrasting coat colors.
What is the chemical formula of Alkynes?
This question asks for the general chemical formula of alkynes. To answer this, we need to recall the general formulas for different homologous series of hydrocarbons, specifically alkanes, alkenes, and alkynes, and understand the relationship between the number of carbon atoms (\(n\)) and hydrogen atoms.
C) \(C_nH_{2n-2}\) is the correct general formula for alkynes. This formula indicates that for every \(n\) carbon atoms, there are \(2n-2\) hydrogen atoms, which is characteristic of compounds containing a carbon-carbon triple bond.
The question asks about a specific geopolitical and economic shift in India's oil imports as of 2018. To answer this, one needs to recall the major oil-supplying countries to India and their relative positions around that year.
Correct Option: B) Iraq
As of 2018, Iraq indeed overtook Saudi Arabia to become India's top oil supplier. This was a notable development in India's energy security strategy, aiming to diversify its crude oil sources and secure competitive prices.
The question asks about the factors affecting the resistance of a metallic wire. This can be determined by recalling the formula for electrical resistance, which relates resistance to the material's resistivity, length, and cross-sectional area.
A) directly proportional to its length and inversely proportional to its area of cross-section. This statement accurately describes the relationship derived from the resistance formula \(R = \rho \frac{L}{A}\).
Let us say that the price of a pen has increased from ₹ 10 to ₹ 15. What is the ratio of its original price to the new price?
To find the ratio of the original price to the new price, we need to express the original price as a fraction of the new price and then simplify it to its lowest terms.
Correct Option: B) The ratio of the original price to the new price is \(2 : 3\).