The question asks to identify the 'extremist leader' among the given options during the Indian Freedom Movement. This requires knowledge of the different factions within the Indian National Congress and their prominent leaders.
C) Bal Gangadhar Tilak was a prominent leader of the Extremist faction within the Indian National Congress. He, along with Lala Lajpat Rai and Bipin Chandra Pal (collectively known as 'Lal-Bal-Pal'), advocated for more aggressive methods to achieve self-rule (Swaraj) and challenged the moderate approach of petitioning the British. His famous slogan was "Swaraj is my birthright, and I shall have it!"
This is a coding-decoding problem where each letter is assigned a specific digit. We need to identify the digit assigned to each unique letter from the given coded words and then apply this mapping to decode the target word.
Correct Option: C) 517563
To find the ratio of the areas of two squares given the ratio of their diagonals, we need to establish a relationship between the diagonal of a square and its area. We will use the properties of a square and the Pythagorean theorem.
Let the side length of a square be \(a\). The diagonal \(d\) of the square can be found using the Pythagorean theorem:
\[ d^2 = a^2 + a^2 \]\[ d^2 = 2a^2 \]\[ d = a\sqrt{2} \]From the above, we can express the side length \(a\) in terms of the diagonal \(d\):
\[ a = \frac{d}{\sqrt{2}} \]The area \(A\) of a square with side length \(a\) is \(A = a^2\). Substitute the expression for \(a\) in terms of \(d\):
\[ A = \left(\frac{d}{\sqrt{2}}\right)^2 \]\[ A = \frac{d^2}{2} \]Now, let's consider two squares. Let their diagonals be \(d_1\) and \(d_2\), and their areas be \(A_1\) and \(A_2\) respectively.
Given that the ratio of their diagonals is \(d_1 : d_2 = 3 : 5\). This can be written as:
\[ \frac{d_1}{d_2} = \frac{3}{5} \]Using the formula for the area in terms of the diagonal, we have:
\[ A_1 = \frac{d_1^2}{2} \]\[ A_2 = \frac{d_2^2}{2} \]The ratio of their areas will be:
\[ \frac{A_1}{A_2} = \frac{\frac{d_1^2}{2}}{\frac{d_2^2}{2}} \]\[ \frac{A_1}{A_2} = \frac{d_1^2}{d_2^2} \]\[ \frac{A_1}{A_2} = \left(\frac{d_1}{d_2}\right)^2 \]Substitute the given ratio of diagonals:
\[ \frac{A_1}{A_2} = \left(\frac{3}{5}\right)^2 \]\[ \frac{A_1}{A_2} = \frac{3^2}{5^2} \]\[ \frac{A_1}{A_2} = \frac{9}{25} \]Therefore, the ratio of their areas is \(9 : 25\).
Correct Option: A) 9 : 25
The question asks to identify the state with the highest graphite reserves in India as per the Geological Survey of India (GSI) data as of 2021. This requires knowledge of the latest mineral reserve statistics published by the GSI.
A) Arunachal Pradesh — As per the Geological Survey of India (GSI) data updated in 2021, Arunachal Pradesh holds the highest graphite reserves in India, accounting for approximately 34% of the country's total estimated reserves.
The problem involves finding the dividend in a division sum given relationships between the divisor, quotient, and remainder. We will use the fundamental division algorithm: \(\text{Dividend} = \text{Divisor} \times \text{Quotient} + \text{Remainder}\) and the given conditions to find the values of the divisor and quotient first.
Identify the given information:
Calculate the Divisor (D):
We know that \(D = 6R\) and \(R = 8\).
Substitute the value of \(R\):
Calculate the Quotient (Q):
We know that \(D = 2Q\). We have found \(D = 48\).
Substitute the value of \(D\):
Calculate the Dividend (N):
Use the division algorithm formula: \(\text{Dividend} = \text{Divisor} \times \text{Quotient} + \text{Remainder}\)
Substitute the values of \(D\), \(Q\), and \(R\):
Perform the multiplication:
\[ 48 \times 24 = 1152 \]Perform the addition:
\[ N = 1152 + 8 = 1160 \]A) 1160 is the correct value for the dividend.
The question asks to identify the winner of the 'ICC Male Cricketer of the Decade' award announced in December 2020. This is a factual question related to sports awards and requires knowledge of recent cricketing accolades.
Correct Option: D) Virat Kohli won the prestigious 'Sir Garfield Sobers Award for ICC Male Cricketer of the Decade' in December 2020 for his outstanding performances across all formats of the game during the period 2011-2020.
The question asks to identify the first beach in Asia to receive the Blue Flag certification. This requires knowledge of environmental certifications for beaches and specific historical achievements in this regard.
The Blue Flag certification is awarded by the Foundation for Environmental Education (FEE), based in Denmark, to beaches, marinas, and sustainable boating tourism operators. It signifies high environmental and quality standards.
Chandrabhaga beach in Odisha, India, was the first beach in Asia to receive the Blue Flag certification in 2018.
C) Chandrabhaga beach — Chandrabhaga beach, located in Konark, Odisha, India, achieved the distinction of being the first beach in Asia to be awarded the Blue Flag certification in 2018. This recognition is a testament to its cleanliness, environmental management, safety, and water quality standards.
This is a coding-decoding question where we need to identify the pattern used to transform "ROAR" into "URDU" and then apply the same pattern to "URDU" to find its coded form.
We are given that ROAR is coded as URDU.
The pattern is consistently adding 3 to the alphabetical position of each letter.
The coded form of URDU is XUGX.
Correct Option: B) XUGX is the correct answer because applying the "add 3 to alphabetical position" rule to each letter of URDU results in XUGX.
To determine the minimum value for 'x' such that the number 2346x45 is exactly divisible by 9, we need to apply the divisibility rule for 9. The divisibility rule for 9 states that a number is divisible by 9 if the sum of its digits is divisible by 9.
\[ \text{Sum} = 24 + x \]
Therefore, the minimum value that should be assigned to 'x' is 3.
B) 3 — When \(x=3\), the sum of the digits is \(2+3+4+6+3+4+5 = 27\). Since 27 is divisible by 9, the number 2346345 is exactly divisible by 9.
The question asks about the annual financial assistance provided to eligible farmers under the Pradhan Mantri Kisan Samman Nidhi (PM-KISAN) scheme. To answer this, one needs to recall the key provisions of the PM-KISAN scheme.
B) 6,000 Rupees is the correct answer. The PM-KISAN scheme provides an annual financial assistance of 6,000 Rupees to eligible farmer families, disbursed in three installments of 2,000 Rupees each.