This problem involves calculating the time required for a sum of money to double itself under simple interest. We will use the formula for simple interest to find the number of years.
Correct Option: A) 16
The question asks to identify the author of the book "Economic Nightmare of India: its cause and cure". This requires knowledge of prominent Indian economists and political figures and their published works.
Correct Option: B) Charan Singh is the author of the book "Economic Nightmare of India: its cause and cure". This book, published in 1981, reflects his critical views on India's economic policies, particularly those related to industrialization at the expense of agriculture, and proposes solutions focused on rural development.
Who was the 1st Indian woman to preside over Indian National Congress?
Annie Besant
Rajkumari Amrit Kaur
Sarojini Naidu
Vijaya Laxmi Pandit
The question asks to identify the first Indian woman to preside over the Indian National Congress. This requires knowledge of the history of the Indian National Congress and its presidents.
Correct Option: C) Sarojini Naidu was the first Indian woman to preside over the Indian National Congress. She achieved this distinction in 1925 at the Kanpur session.
A sum becomes its double in 8 years. The annual rate of simple interest is:
9 \( \frac{1}{2} \) %
12 \( \frac{1}{2} \) %
8%
10%
This problem involves simple interest. We are given that a sum of money doubles in a certain number of years. We need to find the annual rate of simple interest. We will use the formula for simple interest to solve this problem.
Let the principal amount be \(P\). If the sum doubles, the amount \(A\) after 8 years will be \(2P\).
The simple interest (\(SI\)) earned is the difference between the amount and the principal:
\[ SI = A - P = 2P - P = P \]The time period (\(T\)) is given as 8 years.
The formula for simple interest is:
\[ SI = \frac{P \times R \times T}{100} \]Where \(R\) is the annual rate of interest.
Substitute the known values into the formula:
\[ P = \frac{P \times R \times 8}{100} \]Now, we need to solve for \(R\). We can cancel \(P\) from both sides (assuming \(P \neq 0\)):
\[ 1 = \frac{R \times 8}{100} \]Multiply both sides by 100:
\[ 100 = 8R \]Divide by 8 to find \(R\):
\[ R = \frac{100}{8} \] \[ R = \frac{25}{2} \% \] \[ R = 12.5 \% \]Or, as a mixed fraction:
\[ R = 12 \frac{1}{2} \% \]Correct Option: B) 12 \( \frac{1}{2} \) %
The question asks to identify the chairperson of the National Green Tribunal (NGT) of India as of December 2020. This requires knowledge of the appointments and tenures of the chairpersons of the NGT.
Correct Option: D) Adarsh Kumar Goel
Justice Adarsh Kumar Goel was appointed as the Chairperson of the National Green Tribunal on July 6, 2018, and held the position throughout December 2020. He retired from this post in July 2023.
The question asks about the contribution of nuclear power to India's total electricity generation. To answer this, we need to recall the current energy mix of India, specifically the share of nuclear power.
Correct Option: D) Less than 5%
To find the possible values of \(x\), we will use the distance formula between two points in a Cartesian coordinate system. The distance formula is given by \(D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\). We are given the coordinates of two points and the distance between them. We will substitute these values into the formula and solve for \(x\).
Correct Option: A) 7, -5 is the correct set of values for \(x\) derived from the distance formula.
The question asks to identify the recipient of the Padma Vibhushan award in 2021 in the field of medicine. This requires knowledge of the Padma Awards given in 2021 and their respective categories.
In 2021, seven individuals were awarded the Padma Vibhushan. Among them, Dr. B. M. Hegde was recognized for his contributions to Medicine.
B) B Monaappa Hegde (also known as B. M. Hegde) was conferred the Padma Vibhushan in 2021 for his distinguished service in the field of Medicine.
The problem involves calculating the initial quantities of water and milk in a mixture, then determining how much milk needs to be added to achieve a new desired ratio. The key is to recognize that the amount of water remains constant while only milk is added.
A) 24 L is the correct amount of milk to be added to make the ratio 3:6 (or 1:2).
The question asks to identify the office for which the impeachment process is NOT applicable for removal in India. We need to recall the constitutional provisions for the removal of various high-ranking officials.
Correct Option: B) the Prime Minister
The Prime Minister is removed if they lose the confidence of the Lok Sabha, or can be dismissed by the President (though this is rare and usually follows a loss of confidence). There is no impeachment process for the Prime Minister.