The question asks to identify the Governor General who took office in 1798 and constructed the Government House in Calcutta. This requires knowledge of the timelines and key architectural projects associated with British Governors-General in India.
Lord Wellesley served as the Governor-General of Bengal from 1798 to 1805. During his tenure, he initiated the construction of the grand Government House (now Raj Bhavan) in Calcutta, which was completed in 1803. He envisioned a palace befitting the ruler of a vast empire, reflecting the imperial ambitions of the British.
Correct Option: D) Lord Wellesley
We need to determine the possible sequence of the top three runners after three months of training based on the given conditions. We will establish the initial speed hierarchy, then adjust it based on the training outcomes, and finally evaluate the options.
Correct Option: B) Hardik, Ram and Sumit
This question tests knowledge of significant constitutional amendments related to India's electoral system. Specifically, it asks about the reduction of the voting age. Identifying the correct constitutional amendment and the year it was enacted is key to answering this question.
Correct Option: D) 1988 — The 61st Constitutional Amendment Act, which lowered the voting age from 21 to 18 years for Lok Sabha and State Legislative Assembly elections, was passed in 1988.
This problem involves two people moving towards each other, meeting, and then continuing their journeys. A standard formula relates their speeds and the time taken after meeting. We will use this formula to find the unknown speed of Shyam.
Let \(S_R\) be the speed of Ram and \(S_{Sh}\) be the speed of Shyam.
Let \(t_R\) be the time Ram takes to reach B after meeting Shyam, and \(t_{Sh}\) be the time Shyam takes to reach A after meeting Ram.
Given values are:
There is a standard formula for such problems: The ratio of their speeds is inversely proportional to the square root of the ratio of the times they take after meeting.
\[ \frac{S_R}{S_{Sh}} = \sqrt{\frac{t_{Sh}}{t_R}} \]
Substitute the given values into the formula:
\[ \frac{40}{S_{Sh}} = \sqrt{\frac{8}{2}} \]
Simplify the square root:
\[ \frac{40}{S_{Sh}} = \sqrt{4} \]
\[ \frac{40}{S_{Sh}} = 2 \]
Solve for \(S_{Sh}\):
\[ S_{Sh} = \frac{40}{2} \]
\[ S_{Sh} = 20 \text{ km/h} \]
A) 20 km/h
The question asks to identify the Chef de Mission of the Indian contingent at the 2018 Asian Games. This is a factual recall question related to sports administration and current affairs. To answer correctly, one needs to know the key officials appointed for major international sporting events.
A) Brij Bhushan Saran Singh was indeed the Chef de Mission for the Indian contingent at the 2018 Asian Games. He was the then-President of the Wrestling Federation of India.
The question asks to identify the issuing authority for Aadhaar, which is a 12-digit unique identification number in India. This requires knowledge of the specific government body responsible for its issuance and management.
Correct Option: B) Unique Identification Authority of India
The question asks for the home state of the famous singer and Bharat Ratna awardee, Bhupen Hazarika. This is a factual question related to Indian personalities and geography, often tested in general knowledge sections of competitive exams.
Correct Option: D) Assam — Bhupen Hazarika was an iconic figure from Assam, known for his immense contributions to Assamese culture, music, and cinema. He was born in Sadiya, Assam.
The question describes a system that manages interrelated files and provides tools for users to interact with these files. We need to identify the term that best fits this description among the given options.
Correct Option: C) Database management system
We are given the ratio of the perimeter to the length of a rectangle and its area. We need to find the length of the rectangle. We will use the formulas for the perimeter and area of a rectangle to set up equations and solve for the length.
Let the length of the rectangle be \(L\) and the breadth be \(B\).
The perimeter of the rectangle is given by the formula: \(\text{Perimeter} = 2(L + B)\).
The area of the rectangle is given by the formula: \(\text{Area} = L \times B\).
We are given that the ratio of the perimeter to the length is 5 : 1.
\[ \frac{2(L + B)}{L} = \frac{5}{1} \]Simplify the ratio equation:
\[ 2(L + B) = 5L \]\[ 2L + 2B = 5L \]\[ 2B = 5L - 2L \]\[ 2B = 3L \]\[ B = \frac{3L}{2} \]We are also given that the area of the rectangle is 216 cm².
\[ L \times B = 216 \]Substitute the expression for \(B\) from step 5 into the area equation:
\[ L \times \left(\frac{3L}{2}\right) = 216 \]\[ \frac{3L^2}{2} = 216 \]Solve for \(L^2\):
\[ 3L^2 = 216 \times 2 \]\[ 3L^2 = 432 \]\[ L^2 = \frac{432}{3} \]\[ L^2 = 144 \]Solve for \(L\):
\[ L = \sqrt{144} \]\[ L = 12 \text{ cm} \]Correct Option: D) 12
To find the number of valid votes polled in favour of candidate A, we need to first calculate the total number of valid votes. This is done by subtracting the percentage of invalid votes from the total votes. Then, we calculate 75% of these valid votes, as candidate A received that percentage.
Given, the total number of votes is 560000.
15% of total votes were declared invalid.
\[ \text{Invalid votes} = 15\% \text{ of } 560000 \]\[ \text{Invalid votes} = \frac{15}{100} \times 560000 \]\[ \text{Invalid votes} = 15 \times 5600 \]\[ \text{Invalid votes} = 84000 \]Valid votes are the total votes minus the invalid votes.
\[ \text{Valid votes} = \text{Total votes} - \text{Invalid votes} \]\[ \text{Valid votes} = 560000 - 84000 \]\[ \text{Valid votes} = 476000 \]Candidate A got 75% of the total valid votes.
\[ \text{Votes for A} = 75\% \text{ of Valid votes} \]\[ \text{Votes for A} = \frac{75}{100} \times 476000 \]\[ \text{Votes for A} = \frac{3}{4} \times 476000 \]\[ \text{Votes for A} = 3 \times 119000 \]\[ \text{Votes for A} = 357000 \]B) 357000 is the correct number of valid votes polled in favour of A.