If f(x) =\(\frac{x+1}{x-1}\) find the value of f(f(f(2))).
The question asks to identify the computer generation characterized by bulky size, vacuum tube technology, and high cost. This requires knowledge of the characteristics of different computer generations.
C) First generation — Computers of the first generation (1940s-1950s) were indeed characterized by their use of vacuum tubes, which made them bulky, consumed a lot of power, generated much heat, and were very costly to build and maintain. Examples include ENIAC and UNIVAC.
This question tests knowledge of famous Indian authors and their literary works. To answer correctly, one needs to identify the author associated with the novel 'Untouchable'.
The novel 'Untouchable' (1935) is a powerful and poignant work that addresses the issue of untouchability and the caste system in India. It was written by Mulk Raj Anand, one of the pioneers of Indian English fiction.
C) Mulk Raj Anand — Mulk Raj Anand is the author of the critically acclaimed novel 'Untouchable', published in 1935. The novel vividly portrays a single day in the life of Bakha, a young 'untouchable' sweeper, and exposes the harsh realities of caste discrimination.
The task is to identify the odd word out of four given words. This typically involves understanding the meanings of the words and finding a common theme or category for three of them, while one word does not fit that category.
Correct Option: A) Instruct — This word means to teach or give directions. It describes an action of imparting knowledge or orders, which is different from the act of conceptualizing or outlining a future course of action (design, plan, scheme).
The question asks for the location of the 5th ABU Media Summit on Climate Action and Disaster Preparedness in 2019. This is a factual question requiring knowledge of specific international events and their venues.
Correct Option: C) The 5th ABU Media Summit on Climate Action and Disaster Preparedness was held in Kathmandu, Nepal, from September 11-13, 2019. The theme of the summit was "Media Solutions for Sustainable Future: Saving Lives, Building Resilient Communities."
The question asks to identify the author of the influential economic book 'Wealth of Nations'. This requires knowledge of prominent economists and their seminal works.
Correct Option: A) Adam Smith is widely recognized as the author of 'An Inquiry into the Nature and Causes of the Wealth of Nations', often shortened to 'The Wealth of Nations'. Published in 1776, this book is considered one of the earliest descriptions of what builds nations' wealth and is a fundamental work in classical economics.
To find the least number that must be added to 6412 to make it a perfect square, we need to find the smallest perfect square greater than 6412. We can do this by finding the square root of 6412 and then considering the next whole number's square.
We know that:
Since \(80^2 = 6400\) is less than 6412, and \(81^2 = 6561\) is greater than 6412, the number 6412 lies between the squares of 80 and 81.
The smallest perfect square greater than 6412 is \(81^2\).
\[ 81^2 = 6561 \]To find the least number that must be added to 6412 to get 6561, we subtract 6412 from 6561.
\[ \text{Number to be added} = 6561 - 6412 \] \[ \text{Number to be added} = 149 \]Thus, 149 must be added to 6412 to make it a perfect square (6561).
D) 149 is the correct answer because adding 149 to 6412 results in 6561, which is the square of 81, making it the smallest perfect square greater than 6412.
The question asks to identify a physician who served in the Bengal Medical Service between 1794 and 1815 and was known for pioneering survey explorations in India. This requires knowledge of prominent historical figures associated with British India and their specific roles and contributions.
Correct Option: C) Francis Buchanan
Francis Buchanan (later Buchanan-Hamilton) perfectly fits the description. He was a physician who served in the Bengal Medical Service from 1794 to 1815 and is renowned for his extensive and pioneering survey explorations across diverse regions of India, documenting its natural history, geography, and socio-economic conditions.
The question asks for the economic term that describes the value of investment needed to cover the regular wear and tear of capital. This concept is fundamental to understanding national income accounting and the true net addition to a country's capital stock.
D) depreciation — Depreciation (also known as Consumption of Fixed Capital) is the accounting method used to allocate the cost of a tangible asset over its useful life. In macroeconomics, it represents the value of capital that has been used up or worn out in the process of producing goods and services. Therefore, the gross investment required to accommodate this regular wear and tear is essentially covering depreciation.
If the income of Richa is 9 \( \frac{1}{11} \) % more than that of Meena, then the income of Meena is less than that of Richa by:
8 \( \frac{10}{12} \) %
8 \( \frac{3}{12} \) %
7 \( \frac{10}{12} \) %
8 \( \frac{4}{12} \) %
This problem involves percentage increase and decrease. We are given that Richa's income is a certain percentage more than Meena's income. We need to find by what percentage Meena's income is less than Richa's income. This can be solved by converting the given percentage to a fraction and then applying the formula for percentage decrease.
First, convert the given percentage to a fraction:
\[ 9 \frac{1}{11} \% = \frac{9 \times 11 + 1}{11} \% = \frac{99 + 1}{11} \% = \frac{100}{11} \% \]To convert a percentage to a fraction, divide by 100:
\[ \frac{100}{11} \% = \frac{100}{11 \times 100} = \frac{1}{11} \]Let Meena's income be \(M\) and Richa's income be \(R\). The problem states that Richa's income is \( \frac{1}{11} \) more than Meena's income. This means:
\[ R = M + \frac{1}{11} M = M \left(1 + \frac{1}{11}\right) = M \left(\frac{11+1}{11}\right) = \frac{12}{11} M \]Now, we need to find by what percentage Meena's income is less than Richa's income. We can express Meena's income in terms of Richa's income:
\[ M = \frac{11}{12} R \]The difference between Richa's income and Meena's income is:
\[ R - M = R - \frac{11}{12} R = R \left(1 - \frac{11}{12}\right) = R \left(\frac{12-11}{12}\right) = \frac{1}{12} R \]To find the percentage by which Meena's income is less than Richa's income, we divide the difference by Richa's income and multiply by 100:
\[ \text{Percentage less} = \frac{R - M}{R} \times 100 \% = \frac{\frac{1}{12} R}{R} \times 100 \% = \frac{1}{12} \times 100 \% \]Calculate the value:
\[ \frac{1}{12} \times 100 \% = \frac{100}{12} \% \]Simplify the fraction:
\[ \frac{100}{12} = \frac{25}{3} \]Convert this improper fraction to a mixed fraction:
\[ \frac{25}{3} = 8 \frac{1}{3} \% \]Now, we need to check the options. The options are given with a denominator of 12. So, let's convert \( \frac{1}{3} \) to a fraction with a denominator of 12:
\[ \frac{1}{3} = \frac{1 \times 4}{3 \times 4} = \frac{4}{12} \]So, the percentage is \( 8 \frac{4}{12} \% \).
D) \( 8 \frac{4}{12} \% \)