The diameter of a wheel is 88 cm. Find the number of revolutions in which it will cover a distance of 8712 m. (Use π = \( \frac{22}{7} \))
To find the number of revolutions, we first need to calculate the distance covered by the wheel in one revolution. This distance is equal to the circumference of the wheel. Once we have the circumference, we can divide the total distance to be covered by the circumference to get the number of revolutions.
Given:
Step 1: Convert diameter to meters.
Since \(1 \text{ m} = 100 \text{ cm}\),
\[ D = 88 \text{ cm} = \frac{88}{100} \text{ m} = 0.88 \text{ m} \]Step 2: Calculate the circumference of the wheel.
The circumference \(C\) is given by \(\pi D\).
\[ C = \pi D = \frac{22}{7} \times 0.88 \text{ m} \]\[ C = \frac{22 \times 0.88}{7} \text{ m} = \frac{19.36}{7} \text{ m} \]Step 3: Calculate the number of revolutions.
Number of revolutions \[N = \frac{\text{Total Distance}}{\text{Circumference}}\]
\[ N = \frac{8712 \text{ m}}{\frac{19.36}{7} \text{ m}} \]\[ N = \frac{8712 \times 7}{19.36} \]\[ N = \frac{60984}{19.36} \]To simplify the division, we can multiply the numerator and denominator by 100 to remove the decimal:
\[ N = \frac{6098400}{1936} \]Now, perform the division:
\[ N = 3150 \]Thus, the wheel will make 3150 revolutions to cover a distance of 8712 m.
C) 3150 is the correct number of revolutions calculated by dividing the total distance by the circumference of the wheel.
The question asks about who can introduce a Government Bill in the Indian Parliament. Understanding the classification of bills and the roles of different members of Parliament is key to answering this question.
Correct Option: C) Minister in any house of the Parliament
A Government Bill is defined as a bill introduced by a Minister. Ministers can be members of either the Lok Sabha or the Rajya Sabha. Therefore, a Minister can introduce a Government Bill in whichever house they are a member, or in either house if the rules permit and they are a member of that house. This option correctly encompasses the ability of a Minister to introduce such a bill in either the Lok Sabha or the Rajya Sabha.
The question asks to identify which major Himalayan range the Dhauladhar range belongs to. This requires knowledge of the geographical divisions of the Himalayas.
Correct Option: B) Lesser Himalayas
The question asks about the region with the largest wildlife population loss according to the Living Planet Report 2020. This requires knowledge of the key findings of this specific report.
D) Latin America. The Living Planet Report 2020 explicitly stated that Latin America and the Caribbean experienced the largest regional decline in average population size, with an alarming 94% drop since 1970.
The question asks to identify the 'Father of Civil Services' in India. This is a direct historical fact related to the British administration in India. We need to recall the key figures associated with the establishment and reform of the civil services during the British Raj.
Correct Option: C) Charles Cornwallis is known as the 'Father of Civil Services' in India. He introduced significant reforms, including the separation of commercial and administrative functions, increasing the salaries of civil servants to reduce corruption, and establishing a system based on merit and seniority. These measures professionalized the civil services and formed the bedrock of the Indian administrative system.
The question asks to identify the individual who received the Bharat Ratna award before becoming the President of India. This requires knowledge of the recipients of the Bharat Ratna and their tenures as President.
Dr. S. Radhakrishnan was awarded the Bharat Ratna in 1954. He subsequently became the President of India in 1962, serving until 1967. Thus, he received the award before becoming President.
Correct Option: D) S Radhakrishnan — He received the Bharat Ratna in 1954 and became the President of India in 1962.
The question asks about the ecological consequences of bamboo flowering. This phenomenon, often called "bamboo death" or "Mautam" in certain regions, has significant environmental impacts, particularly on local wildlife populations.
A) an increase in the population of rats — The mass flowering of bamboo leads to a huge availability of bamboo seeds, which are a primary food source for rats. This causes a significant and rapid increase in the rat population, often resulting in a rat plague.
The question asks us to find the analogous relationship between 'Tennis' and one of the given options, based on the relationship between 'Cricket' and 'Bat'. This is a classic analogy question, testing general knowledge and logical reasoning.
A) Racquet — A racquet is the primary equipment used by a player to hit the ball in Tennis, just as a bat is used in Cricket.
The question asks to identify the term for an imaginary line on a map or chart that connects points of equal depth below a water surface. This is a definition-based question related to geographical and oceanographic terminology.
C) Isobath — An isobath is indeed an imaginary line or a line on a map or chart that connects all points having the same depth below a water surface, such as seawater. This term is fundamental in bathymetry and oceanography.
To find the percentage increase in daily earnings, we need to calculate the new daily earnings and compare them to the original daily earnings. We can assume initial values for working hours and wages per hour to simplify calculations.
Let the original working hours per day be \(H = 10\) hours.
Let the original wages per hour be \(W = \$10\).
Original Daily Earnings \(= H \times W = 10 \times 10 = \$100\).
Working hours increased by 35%.
\[ \text{New Hours} = H + 0.35H = H(1 + 0.35) = 1.35H \]New Hours \(= 1.35 \times 10 = 13.5\) hours.
Wages per hour decreased by 25%.
\[ \text{New Wages} = W - 0.25W = W(1 - 0.25) = 0.75W \]New Wages \(= 0.75 \times 10 = \$7.5\).
New Daily Earnings \(= \text{New Hours} \times \text{New Wages} = 13.5 \times 7.5 = \$101.25\).
Correct Option: C) 1.25%