The question asks to identify the historical figure known as the 'Grand Old Man of India'. This is a direct factual recall question from Indian history, specifically related to the freedom struggle and prominent leaders.
D) Dadabhai Naoroji
Dadabhai Naoroji (1825–1917) was a prominent Indian political leader, merchant, scholar, and politician who served as a Liberal Party Member of Parliament in the United Kingdom House of Commons between 1892 and 1895. He is widely credited with being the first Indian to be elected to the British Parliament. He was a key figure in the early Indian nationalist movement and is best known for his 'Drain of Wealth' theory, which critiqued British economic exploitation of India. His long and distinguished career in public service and his pioneering efforts in the Indian freedom struggle earned him the affectionate title of the 'Grand Old Man of India'.
The question asks to identify the rural housing scheme that was restructured into the Pradhan Mantri Gramin Awas Yojana (PMGAY). This requires knowledge of major government housing and rural development schemes and their evolution.
Correct Option: A) Indira Awas Yojana — The Indira Awas Yojana (IAY) was a major social welfare flagship programme, created by the Indian Government, to provide housing for the rural poor. It was launched in 1985. In November 2016, the IAY was restructured into the Pradhan Mantri Gramin Awas Yojana (PMGAY) with the aim of providing a pucca house with basic amenities to all houseless households and those living in kutcha and dilapidated houses in rural areas by 2022.
This problem involves logical deduction based on seating arrangements around a rectangular table. We need to visualize the positions of the four friends based on the given clues to determine Ankita's position relative to Mahak.
Correct Option: B) Diagonally opposite
The question asks to identify the essential element required for the synthesis of thyroxine. This requires knowledge of the biochemical composition of thyroid hormones.
Correct Option: B) Iodine is an essential trace element directly incorporated into the structure of thyroxine and is crucial for its synthesis.
The question asks for the minimum voting age in India as of 2020, according to the Election Commission of India. This is a factual question related to Indian polity and constitutional provisions.
Correct Option: B) 18 years
The question asks to identify the author of a specific book among the given options. This requires knowledge of ancient Indian literature and their authors.
Based on this information, Vishnu Sharma is the author of the Panchatantra.
Correct Option: C) Panchatantra was written by Vishnu Sharma, a collection of inter-connected animal fables in Sanskrit verse and prose.
John, Johnny and Janardan can finish a task in a field in 6, 12, and 24 days, respectively. In how many days will they finish the task working together?
2 \( \frac{3}{7} \) days
6 \( \frac{3}{7} \) days
3 \( \frac{3}{7} \) days
5 \( \frac{3}{7} \) days
This problem involves calculating the combined work rate of three individuals to find out how long it will take them to complete a task together. We will determine the individual work rates (fraction of work done per day) and then sum them up to find the combined work rate. Finally, we will take the reciprocal of the combined work rate to find the total number of days.
When they work together, their work rates add up.
\[ \text{Combined 1-day work} = \frac{1}{6} + \frac{1}{12} + \frac{1}{24} \]The least common multiple (LCM) of 6, 12, and 24 is 24.
\[ \text{Combined 1-day work} = \frac{4}{24} + \frac{2}{24} + \frac{1}{24} \]If they complete \( \frac{7}{24} \) of the task in one day, then the total number of days to complete the entire task is the reciprocal of their combined 1-day work.
\[ \text{Total days} = \frac{1}{\text{Combined 1-day work}} = \frac{1}{\frac{7}{24}} = \frac{24}{7} \text{ days} \]Divide 24 by 7:
\[ 24 \div 7 = 3 \text{ with a remainder of } 3 \]\[ \text{Total days} = 3 \frac{3}{7} \text{ days} \]C) 3 \( \frac{3}{7} \) days is the correct answer, as calculated by summing their individual work rates and finding the reciprocal.
Narendra finishes a job in 10 days. Amit completes the same job in 12 days. How many days will it take for both of them to finish the job while working together?
5 \( \frac{5}{11} \)
6 \( \frac{5}{11} \)
5 \( \frac{6}{11} \)
6\( \frac{6}{11} \)
To find the time it takes for two individuals to complete a job together, we first determine their individual work rates. The work rate is the reciprocal of the time taken to complete the job. Then, we sum their individual work rates to get their combined work rate. Finally, the reciprocal of the combined work rate gives the total time taken to complete the job together.
Calculate Narendra's work rate:
Narendra finishes the job in 10 days. So, in one day, Narendra completes \(\frac{1}{10}\) of the job.
\[ \text{Narendra's work rate} = \frac{1}{\text{Time taken by Narendra}} = \frac{1}{10} \text{ job/day} \]Calculate Amit's work rate:
Amit completes the same job in 12 days. So, in one day, Amit completes \(\frac{1}{12}\) of the job.
\[ \text{Amit's work rate} = \frac{1}{\text{Time taken by Amit}} = \frac{1}{12} \text{ job/day} \]Calculate their combined work rate:
When working together, their work rates add up.
\[ \text{Combined work rate} = \text{Narendra's work rate} + \text{Amit's work rate} \] \[ \text{Combined work rate} = \frac{1}{10} + \frac{1}{12} \]To add these fractions, find a common denominator, which is the Least Common Multiple (LCM) of 10 and 12. The LCM of 10 and 12 is 60.
\[ \text{Combined work rate} = \frac{1 \times 6}{10 \times 6} + \frac{1 \times 5}{12 \times 5} \] \[ \text{Combined work rate} = \frac{6}{60} + \frac{5}{60} \] \[ \text{Combined work rate} = \frac{6 + 5}{60} = \frac{11}{60} \text{ job/day} \]Calculate the total time taken to finish the job together:
The time taken to complete the job together is the reciprocal of their combined work rate.
\[ \text{Time together} = \frac{1}{\text{Combined work rate}} = \frac{1}{\frac{11}{60}} \] \[ \text{Time together} = \frac{60}{11} \text{ days} \]Convert the improper fraction to a mixed number:
Divide 60 by 11:
\[ 60 \div 11 = 5 \text{ with a remainder of } 5 \]So, \(\frac{60}{11}\) days can be written as \(5 \frac{5}{11}\) days.
Correct Option: A) \(5 \frac{5}{11}\)
The question asks about the percentage of Earth's land surface covered by forests, according to NASA. This is a factual question requiring knowledge of global forest cover statistics.
Correct Option: B) 30%
To find the value of the expression \(160.342 - 32.124\), we need to perform a simple subtraction of decimal numbers. We will align the decimal points and subtract column by column, starting from the rightmost digit.
Combining these results, we get:
\[ \begin{array}{r} 160.342 \ - \quad 32.124 \ \hline 128.218 \end{array} \]The result is \(128.218\), which is already correct to three decimal places.
D) 128.218 is the correct result of the subtraction.