The question asks to identify the famous biologist associated with the Galapagos Islands. This requires knowledge of key figures in biology and their significant contributions or areas of study.
Correct Option: D) Charles Darwin is famously associated with the Galapagos Islands. His observations of the unique flora and fauna, particularly the finches, on these islands during his voyage on HMS Beagle (1831-1836) played a crucial role in the development of his theory of evolution by natural selection. The variations he observed among species on different islands helped him formulate his ideas on adaptation and speciation.
To find the mean (average) of a set of numbers, we sum all the numbers and then divide by the count of the numbers. This fundamental definition of mean will be applied to the given algebraic expressions.
Identify the given numbers: The numbers are \(m + 3\), \(m + 5\), \(m + 6\), \(m + 9\), and \(m + 12\).
Count the number of terms: There are 5 terms in the given set.
Sum the terms: Add all the given expressions together.
\[ \text{Sum} = (m + 3) + (m + 5) + (m + 6) + (m + 9) + (m + 12) \]Combine the 'm' terms and the constant terms separately:
\[ \text{Sum} = (m + m + m + m + m) + (3 + 5 + 6 + 9 + 12) \] \[ \text{Sum} = 5m + 35 \]Calculate the mean: Divide the sum by the number of terms.
\[ \text{Mean} = \frac{\text{Sum}}{\text{Number of terms}} \] \[ \text{Mean} = \frac{5m + 35}{5} \]Factor out 5 from the numerator:
\[ \text{Mean} = \frac{5(m + 7)}{5} \]Cancel out the common factor 5:
\[ \text{Mean} = m + 7 \]Correct Option: C) m + 7
The question asks to identify the President of the Constituent Assembly of India after independence. This requires knowledge of key figures and their roles in the formation of the Indian Constitution.
D) Dr. Rajendra Prasad was elected as the permanent President of the Constituent Assembly on December 11, 1946, and continued in that position after India gained independence in 1947.
The question asks to identify the financial inclusion scheme launched in June 2015 specifically to encourage the unorganised workforce to join the National Pension Scheme. We need to recall the objectives and launch dates of the given options.
C) Atal Pension Yojana (APY) was launched in June 2015 (though announced in May 2015) with the objective of providing social security benefits, specifically a guaranteed pension, to workers primarily from the unorganised sector. It encourages them to save for retirement and is administered by the Pension Fund Regulatory and Development Authority (PFRDA) under the overall administrative and institutional architecture of the National Pension System (NPS).
The question asks for the country where the Taklamakan Desert is located. This is a factual geography question. To answer it, one needs to recall the geographical location of major deserts around the world.
C) China. The Taklamakan Desert is indeed located in the Xinjiang Uyghur Autonomous Region of China, specifically in the Tarim Basin. It is one of the largest sandy deserts in the world.
To find the net change when a number is first decreased by a certain percentage and then increased by the same percentage, we can assume an initial value for the number (e.g., 100) or use a general algebraic approach. We will calculate the value after the decrease and then the value after the subsequent increase, finally determining the overall percentage change.
Alternatively, using the formula for successive percentage changes: If a quantity is first changed by \(x\%\) and then by \(y\%\), the net percentage change is given by:\[ \left(x + y + \frac{xy}{100}\right)\% \]In this case, the first change is a decrease of 5%, so \(x = -5\). The second change is an increase of 5%, so \(y = +5\).\[ \text{Net change} = \left(-5 + 5 + \frac{(-5)(5)}{100}\right)\% \]\[ \text{Net change} = \left(0 + \frac{-25}{100}\right)\% \]\[ \text{Net change} = -0.25\% \]This indicates a 0.25% decrease.
A) 0.25% decrease
As calculated, the net effect of decreasing a number by 5% and then increasing the result by 5% is a 0.25% decrease.
The decimal expression of \( \frac{3}{8} \) comes to an end after how many digits after the decimal?
To determine after how many digits the decimal expression of a fraction terminates, we can either perform long division or express the denominator as a product of powers of 2 and 5. A fraction \(\frac{p}{q}\) (in its simplest form) will have a terminating decimal expansion if and only if the prime factorization of its denominator \(q\) contains only powers of 2 and/or 5. The number of decimal places will be the maximum of the powers of 2 and 5 in the denominator.
Both methods confirm that the decimal expression of \(\frac{3}{8}\) terminates after 3 digits.
Correct Option: A) 3
To find Mohan's score, we first need to calculate Rakhi's actual score. Rakhi's score is given as a percentage of the maximum marks. Once Rakhi's score is known, we can find Mohan's score by subtracting 12 marks from Rakhi's score, as Rakhi scored 12 marks more than Mohan.
The maximum marks are 200.
Rakhi scored 54% of the maximum marks.
\[ \text{Rakhi's score} = 54\% \text{ of } 200 \] \[ \text{Rakhi's score} = \frac{54}{100} \times 200 \] \[ \text{Rakhi's score} = 54 \times 2 \] \[ \text{Rakhi's score} = 108 \text{ marks} \]We are given that Rakhi scored 12 marks more than Mohan.
This means Mohan's score is Rakhi's score minus 12 marks.
\[ \text{Mohan's score} = \text{Rakhi's score} - 12 \] \[ \text{Mohan's score} = 108 - 12 \] \[ \text{Mohan's score} = 96 \text{ marks} \]Correct Option: D) 96 marks
The question asks for the location of the headquarters of the International Rice Research Institute (IRRI). This is a factual question requiring knowledge of international organizations and their geographical locations.
C) Los Banos — The International Rice Research Institute (IRRI) has its headquarters in Los Baños, Laguna, Philippines. It is a leading global research center dedicated to improving rice varieties and farming practices.
The question asks to identify the CEO of NITI Aayog as of October 2020. This requires knowledge of current affairs and the administrative structure of key government bodies in India.
Correct Option: A) Amitabh Kant