The question asks to identify the river among the given options that does not originate from the Western Ghats. This requires knowledge of the origin points of major peninsular rivers of India.
Correct Option: B) Tapti
This question asks to identify the weakest among the given forces. We need to compare the relative strengths of the fundamental forces of nature and other common forces.
Correct Option: B) Gravitational force is the weakest of the four fundamental forces. Its strength is negligible compared to the other forces at the atomic and subatomic scales, and even at macroscopic scales, it requires very large masses to become significant.
The question asks to identify which of the given options is NOT a scalar quantity. To answer this, we need to understand the definitions of scalar and vector quantities.
C) Force — Force is a vector quantity because it possesses both magnitude and direction. For instance, a force of \(10 \text{ N}\) applied to an object must also specify the direction in which it is applied (e.g., \(10 \text{ N}\) downwards, or \(10 \text{ N}\) to the right).
The question asks to identify the place in India famous for hosting the world's largest Camel Fairs. This requires knowledge of prominent cultural and trade fairs in India, particularly those involving livestock like camels.
Correct Option: D) Pushkar is a town in the Ajmer district of Rajasthan, India. It is famous for the Pushkar Camel Fair (also known as Pushkar Mela), which is one of the world's largest camel fairs. Held annually over seven days in autumn, it attracts thousands of camels, horses, and cattle, along with hundreds of thousands of tourists and devotees. The fair is a significant cultural and economic event, featuring livestock trading, cultural performances, and religious rituals at the Pushkar Lake.
This problem can be solved using the Pythagorean theorem. When the tree breaks, the broken part forms the hypotenuse of a right-angled triangle, the height at which it broke forms one leg, and the distance from the foot of the tree to where the broken part touches the ground forms the other leg.
Let the height at which the tree broke be \(h\) meters. This is one leg of the right-angled triangle.
The length of the broken upper part is given as 10 m. This broken part forms the hypotenuse of the right-angled triangle.
The distance from the foot of the tree to where the broken part touches the ground is 6 m. This is the other leg of the right-angled triangle.
According to the Pythagorean theorem, for a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides:
\[ \text{hypotenuse}^2 = \text{leg}_1^2 + \text{leg}_2^2 \]Substitute the given values into the theorem:
\[ 10^2 = h^2 + 6^2 \]Calculate the squares:
\[ 100 = h^2 + 36 \]Solve for \(h^2\):
\[ h^2 = 100 - 36 \] \[ h^2 = 64 \]Find the value of \(h\):
\[ h = \sqrt{64} \] \[ h = 8 \text{ m} \]So, the tree broke at a height of 8 m from the foot.
The total height of the tree before it broke is the sum of the height at which it broke and the length of the broken upper part:
\[ \text{Total height} = \text{height at which it broke} + \text{length of broken part} \] \[ \text{Total height} = h + 10 \text{ m} \] \[ \text{Total height} = 8 + 10 \text{ m} \] \[ \text{Total height} = 18 \text{ m} \]D) 18 m — The total height of the tree is the sum of the height where it broke (8 m) and the length of the broken part (10 m), which equals 18 m.
The question asks to identify the Buddhist tradition in which the worship of images of Buddha became a significant practice. This requires knowledge of the different schools of Buddhism and their core tenets, particularly regarding the representation and veneration of the Buddha.
C) Mahayana — Mahayana Buddhism, which translates to "Great Vehicle," emerged around the 1st century CE. It introduced the concept of the Bodhisattva and the idea that the Buddha was a divine being. This led to the widespread creation and worship of Buddha images and statues, making image worship a distinctive feature of Mahayana practice.
At the 91st Oscar Awards, which of the following received the Best Picture award?
The question asks to identify the Best Picture winner at the 91st Academy Awards. This requires knowledge of major film awards, specifically the Oscars, and their recipients for a particular year.
Correct Option: D) Green Book received the Best Picture award at the 91st Oscar Awards ceremony.
This problem involves inverse proportionality between the number of men and the number of days provisions will last. We need to calculate the remaining provisions after 10 days and then determine how long these provisions will last for the reduced number of men.
Calculate total initial provisions: Initially, there are 150 men and provisions for 45 days. The total "man-days" of provisions can be calculated as:
\[ \text{Total Provisions} = \text{Number of Men} \times \text{Number of Days} \\ = 150 \text{ men} \times 45 \text{ days} = 6750 \text{ man-days} \]Calculate provisions consumed in the first 10 days: For the first 10 days, all 150 men were present. So, provisions consumed are:
\[ \text{Provisions Consumed} = 150 \text{ men} \times 10 \text{ days} = 1500 \text{ man-days} \]Calculate remaining provisions: Subtract the consumed provisions from the total initial provisions:
\[ \text{Remaining Provisions} = 6750 \text{ man-days} - 1500 \text{ man-days} = 5250 \text{ man-days} \]Calculate the number of remaining men: After 10 days, 25 men left. So, the number of men remaining is:
\[ \text{Remaining Men} = 150 - 25 = 125 \text{ men} \]Calculate how long the remaining provisions will last: Now, divide the remaining provisions (in man-days) by the number of remaining men to find the number of days they will last:
\[ \text{Days Remaining} = \frac{\text{Remaining Provisions}}{\text{Remaining Men}} \\ = \frac{5250 \text{ man-days}}{125 \text{ men}} = 42 \text{ days} \]Correct Option: C) 42 days
The Indian Constitution divides legislative powers between the Union and State governments into three lists: the Union List, the State List, and the Concurrent List. There are also 'Residuary Subjects' for matters not covered in any of these lists. The question asks to identify which list the subject 'Marriage' falls under.
Correct Option: B) concurrent list. The subject 'Marriage and Divorce' is explicitly mentioned in Entry 5 of List III (Concurrent List) of the Seventh Schedule to the Constitution of India. This allows both the Parliament and the State Legislatures to make laws on this subject.
The question asks for the approximate distance between the Sun and the Earth. This is a fundamental astronomical fact that candidates for competitive exams are expected to know. The distance is often referred to as one Astronomical Unit (AU).
Correct Option: A) 150 million km is the closest and most commonly accepted approximate value for the average distance between the Sun and the Earth.