The question asks to identify the book for which Shashi Tharoor received the Sahitya Akademi Award in 2019. This is a factual recall question related to current affairs and literary awards.
A) An Era of Darkness: Shashi Tharoor was indeed awarded the Sahitya Akademi Award 2019 for his non-fiction book "An Era of Darkness: The British Empire in India." The book critically examines the impact of British colonial rule on India.
This problem involves simple interest calculations. We need to divide a total sum into two parts such that the simple interest earned on each part, with different rates and times, is equal. We will use the simple interest formula \(SI = \frac{P \times R \times T}{100}\) to set up an equation and solve for the unknown parts.
Let the total sum be \(P = \text{₹}2,700\).
Let the first part of the sum be \(P_1\). Then the second part will be \(P_2 = P - P_1 = 2700 - P_1\).
For the first part:
For the second part:
According to the problem, the simple interest on both parts is equal: \(SI_1 = SI_2\).
\[ \frac{60 P_1}{100} = \frac{60 (2700 - P_1)}{100} \]We can cancel out \(\frac{60}{100}\) from both sides:
\[ P_1 = 2700 - P_1 \]Now, solve for \(P_1\):
\[ P_1 + P_1 = 2700 \]\[ 2 P_1 = 2700 \]\[ P_1 = \frac{2700}{2} \]\[ P_1 = 1350 \]The part of the sum lent out at 15% is \(P_1 = \text{₹}1,350\).
Correct Option: C) ₹1,350
The question asks to identify the sport associated with the Ezra Cup. This is a general knowledge question that tests recall of famous sports trophies and their respective sports.
Correct Option: B) Polo
The Ezra Cup is a prestigious polo tournament, particularly known in India. It was first played in 1880 and is considered one of the oldest polo trophies.
This is a coding-decoding question. We need to identify the pattern or rule used to code "PEN" as "8" and then apply the same rule to "PENCIL". The common patterns in such questions involve the positional values of letters in the English alphabet.
The Constituent Assembly formed the Drafting Committee to prepare a Draft Constitution of India on:
29th August 1947
29th August 1949
29th August 1948
29th August 1950
The question asks for the specific date when the Constituent Assembly formed the Drafting Committee to prepare the Draft Constitution of India. This is a factual question related to the historical timeline of India's constitution-making process.
Correct Option: A) 29 th August 1947
The Drafting Committee, chaired by Dr. B.R. Ambedkar, was indeed constituted by the Constituent Assembly on August 29, 1947, to prepare a Draft Constitution for India. This was a crucial step in the constitution-making process.
The question asks about the chairperson of a specific committee constituted by the RBI related to the housing finance securitisation market. This is a factual question requiring knowledge of recent financial committees and their leadership.
Correct Option: B) Harsh Vardhan
Dr. Harsh Vardhan was indeed the chairperson of the RBI constituted committee on the development of the housing finance securitisation market. This committee was formed in 2019 to review the existing state of the market and recommend measures for its development.
This question asks us to evaluate the strength of two arguments regarding the necessity of employee unions in government institutions. We need to determine if each argument presents a valid and significant point for or against the proposition.
Correct Option: D) 1 and 2 both are strong.
To find the remainder when \(17^{200}\) is divided by 18, we can use the concept of modular arithmetic. We need to find a relationship between the base (17) and the divisor (18).
We have \(17\) and \(18\). We can write \(17\) as \(18 - 1\).
We want to find the remainder of \(17^{200}\) when divided by \(18\). This can be written as:
\[ 17^{200} \pmod{18} \]Since \(17 \equiv -1 \pmod{18}\) (because \(17 = 1 \times 18 - 1\)), we can substitute \(-1\) for \(17\) in the expression:
\[ 17^{200} \equiv (-1)^{200} \pmod{18} \]Since \(200\) is an even number, \( (-1)^{200} \) will be \(1\).
\[ (-1)^{200} = 1 \]Therefore,
\[ 17^{200} \equiv 1 \pmod{18} \]The remainder when \(17^{200}\) is divided by \(18\) is \(1\).
Correct Option: A) 1
The value of \(\frac{\sqrt{625}}{11}\) ×\(\frac{14}{\sqrt{25}}\) × \(\frac{11}{\sqrt{196}}\) is:
To solve this problem, we need to simplify each square root term and then perform the multiplication of the fractions. We will find the square root of each number and then cancel out common terms in the numerator and denominator.
We need to find the values of \(\sqrt{625}\), \(\sqrt{25}\), and \(\sqrt{196}\).
The given expression is:
\[ \frac{\sqrt{625}}{11} \times \frac{14}{\sqrt{25}} \times \frac{11}{\sqrt{196}} \]Substitute the calculated square root values:
\[ \frac{25}{11} \times \frac{14}{5} \times \frac{11}{14} \]Now, we can multiply the numerators and denominators. It's often easier to cancel out common factors before multiplying.
\[ \frac{25}{\cancel{11}} \times \frac{\cancel{14}}{5} \times \frac{\cancel{11}}{\cancel{14}} \]The terms \(11\) in the denominator of the first fraction and in the numerator of the third fraction cancel each other out. Similarly, \(14\) in the numerator of the second fraction and in the denominator of the third fraction cancel each other out.
The expression simplifies to:
\[ \frac{25}{1} \times \frac{1}{5} \times \frac{1}{1} \] \[ = \frac{25}{5} \]Correct Option: D) 5
This problem involves two trains traveling between two stations at different times and speeds. To find when they cross each other, we need to determine their relative speed and the distance between them when both are in motion. We will calculate the time taken by each train, assume a common distance, and then find their individual speeds. Finally, we'll calculate the time until they meet.
To avoid fractions, we can assume the distance is the Least Common Multiple (LCM) of the travel times. However, since the times are 7 and 10.5, it's easier to work with a common multiple or directly with speeds. Let the distance between Chennai and Vijayawada be \(D\) km.
Train R starts at 5 a.m. and Train S starts at 7 a.m. We need to find their positions at 7 a.m. when Train S starts its journey.
Since the trains are moving towards each other, their relative speed is the sum of their individual speeds.
The trains meet 3 hours after 7 a.m.
\[ \text{Meeting Time} = 7:00 \text{ a.m.} + 3 \text{ hours} = 10:00 \text{ a.m.} \]C) 10 a.m. is the correct time when the two trains cross each other.