The question asks to identify the animal for which Kaziranga National Park is famous. This requires knowledge of the prominent wildlife species found in major Indian national parks.
Correct Option: D) One-horn rhino — Kaziranga National Park holds two-thirds of the world's great one-horned rhinoceros population, making it the most famous sanctuary for this species.
The question asks to identify the first person to travel into space. This is a historical fact related to space exploration. We need to recall the pioneers of human spaceflight.
The first human to journey into outer space was Yuri Gagarin, a Soviet cosmonaut. He made history on April 12, 1961, aboard the Vostok 1 spacecraft, completing one orbit of Earth.
C) Yuri Gagarin was the first human to travel into space on April 12, 1961, aboard the Vostok 1 spacecraft.
The question asks to identify the "energy currency" of the cell. This is a fundamental concept in biology, referring to the molecule that directly provides energy for most cellular processes. We need to recall the primary energy-carrying molecule in biological systems.
B) ATP (Adenosine Triphosphate) is the principal molecule for storing and transferring energy in cells. It is often referred to as the "energy currency" because it can be spent and regenerated, much like money, to power cellular processes.
This problem can be solved using the fundamental relationship between the Least Common Multiple (LCM) and the Highest Common Factor (HCF) of two numbers. The product of two numbers is always equal to the product of their LCM and HCF.
D) 297 is the correct value for \(y\).
This is a question based on Syllogism. We need to analyze the given statements and determine which of the conclusions logically follow. We can use Venn diagrams to represent the relationships described in the statements and then check the validity of each conclusion.
A) Neither conclusion I nor II follows.
The question asks for the birthplace of Amir Khusrau in Uttar Pradesh. This requires knowledge of historical figures and their geographical origins, a common topic in Indian competitive exams.
A) Patiyali — Amir Khusrau was indeed born in Patiyali, which is now in the Kasganj district of Uttar Pradesh. He is often referred to as "Tuti-e-Hind" (Parrot of India) and is credited with the invention of the sitar and tabla, and for his contributions to Hindustani classical music and literature.
If the value of \( \frac{1}{36.18} \) is 0.0276, then what is the value of \( \frac{1}{0.0003618} \) ?
The problem provides the value of a fraction and asks for the value of another fraction. We can solve this by manipulating the given fraction to match the form of the fraction whose value is required. This involves adjusting the decimal point by multiplying or dividing by powers of 10.
The value of \( \frac{1}{0.0003618} \) is \(2760\).
Correct Option: A) 2760
The problem asks us to find the principal amount (sum invested) given the simple interest rate, time period, and the total amount on maturity. We will use the formula for simple interest and the formula for the total amount to solve this problem.
Identify the given values:
Recall the formula for Simple Interest (SI):
\[ \text{SI} = \frac{P \times R \times T}{100} \]where \(P\) is the Principal amount.
Recall the formula for the Total Amount (A):
\[ A = P + \text{SI} \]
Substitute the SI formula into the Amount formula:
\[ A = P + \frac{P \times R \times T}{100} \]
Factor out \(P\):
\[ A = P \left(1 + \frac{R \times T}{100}\right) \]
Substitute the given values into the equation:
\[ 175 = P \left(1 + \frac{5 \times 8}{100}\right) \]
Calculate the term inside the parenthesis:
\[ 175 = P \left(1 + \frac{40}{100}\right) \]
\[ 175 = P \left(1 + 0.40\right) \]
\[ 175 = P \left(1.40\right) \]
Solve for \(P\):
\[ P = \frac{175}{1.40} \]
To simplify the division, multiply the numerator and denominator by 100:
\[ P = \frac{17500}{140} \]
\[ P = \frac{1750}{14} \]
Divide 1750 by 14:
\[ P = 125 \]
So, the sum invested was ₹125.
B) ₹125 — The calculation shows that the principal amount (sum invested) is ₹125. If ₹125 is invested for 8 years at 5% simple interest, the simple interest would be \[\frac{125 \times 5 \times 8}{100} = \frac{5000}{100} = \text{₹}50\]. The total amount on maturity would then be \(\text{₹}125 + \text{₹}50 = \text{₹}175\), which matches the given information.
This problem involves the concept of work and time, where the amount of work done is constant (sweeping the floor). We can use the Man-Days-Brooms formula or the concept of work rate to solve this. The key is to understand that the number of brooms is directly proportional to the number of people and the work done, and inversely proportional to the time taken.
The amount of work done is constant. The work done is proportional to the number of people, the number of brooms, and the number of days. We can express this relationship as:
\[ \frac{\text{People}_1 \times \text{Brooms}_1 \times \text{Days}_1}{\text{Work}_1} = \frac{\text{People}_2 \times \text{Brooms}_2 \times \text{Days}_2}{\text{Work}_2} \]Since the 'work' (sweeping the floor) is the same in both cases, we can simplify this to:
\[ \text{People}_1 \times \text{Brooms}_1 \times \text{Days}_1 = \text{People}_2 \times \text{Brooms}_2 \times \text{Days}_2 \]So, the equation becomes:
\[ 12 \times 12 \times 4 = 8 \times 8 \times x \]The problem states "12 people can sweep the floor in 4 days with 12 brooms." This implies that each person has one broom. If the number of brooms is equal to the number of people, then the number of brooms becomes redundant information in the calculation of the time taken, as each person is assumed to be working with one broom. The efficiency per person remains constant.
Therefore, we only need to consider the number of people and the number of days. This is an inverse proportionality problem: fewer people will take more days to complete the same amount of work.
A) 6 — By considering that the number of brooms is equal to the number of people in both scenarios, the brooms effectively cancel out, and the problem reduces to a simple inverse proportionality between the number of people and the number of days. Thus, 8 people will take 6 days.
The question asks for the year in which Queen Victoria's Proclamation declared that India would be governed by the British Monarch through a Secretary of State. This significant event marked a major shift in the administration of British India following the Revolt of 1857.
D) 1858 — Queen Victoria's Proclamation, which transferred the governance of India from the East India Company to the British Crown, was issued in 1858. This proclamation also established the position of the Secretary of State for India.