The question asks for the ideal soil composition for plant growth. Healthy soil for plants requires a balance of different components to provide nutrients, water retention, aeration, and structural support. We need to evaluate how different combinations of soil components contribute to these requirements.
Correct Option: D) Humus, sand and clay. This combination provides the best balance for plant growth. Humus enriches the soil with nutrients and improves water retention and structure. Sand ensures good drainage and aeration, preventing waterlogging. Clay particles retain water and nutrients effectively. Together, they create a fertile and well-structured soil environment.
If \( \frac{3}{5} \)th of a cistern is filled in 1 minute, how much more time will be required to fill the rest of it?
This problem involves calculating the time required to fill the remaining portion of a cistern, given the time taken to fill a certain fraction of it. We will first determine the fraction of the cistern that remains to be filled and then use the given rate to find the additional time needed.
Identify the filled portion: The problem states that \( \frac{3}{5} \) of the cistern is filled.
Fraction filled \( = \frac{3}{5} \)
Calculate the remaining portion: The total capacity of the cistern can be considered as 1 (or \( \frac{5}{5} \)). So, the remaining fraction to be filled is:
\[ \text{Remaining fraction} = 1 - \frac{3}{5} = \frac{5}{5} - \frac{3}{5} = \frac{2}{5} \]
Determine the rate of filling: We are given that \( \frac{3}{5} \) of the cistern is filled in 1 minute.
\[ \text{Time taken to fill } \frac{3}{5} \text{ part} = 1 \text{ minute} = 60 \text{ seconds} \]
From this, we can find the time taken to fill 1/5th of the cistern:
\[ \text{Time to fill } \frac{1}{5} \text{ part} = \frac{60 \text{ seconds}}{3} = 20 \text{ seconds} \]
Calculate the time for the remaining portion: Since \( \frac{2}{5} \) of the cistern remains to be filled, and each \( \frac{1}{5} \) part takes 20 seconds, the time required will be:
\[ \text{Time required} = 2 \times \text{Time to fill } \frac{1}{5} \text{ part} = 2 \times 20 \text{ seconds} = 40 \text{ seconds} \]
Correct Option: A) 40 sec
The question asks about the characteristics of days and nights during an equinox. Understanding the definition of an equinox and its astronomical implications is key to answering this question.
Correct Option: C) Days and nights are of almost equal duration. This is the defining characteristic of an equinox, as the Earth's tilt is perpendicular to the Sun's rays, causing the Sun to be directly over the equator and illuminating both hemispheres equally.
The question asks to identify the types of trees that were historically promoted for specific industrial uses like shipbuilding and railway construction. This requires knowledge of the properties of different timber types and their historical applications, particularly in the context of colonial India and industrial development.
Correct Option: C) Teak and Sal — These trees provide strong, durable, and rot-resistant timber, which was highly sought after for shipbuilding and railway sleepers during the colonial era in India due to their excellent structural properties and resistance to decay and pests.
The difference between the compound interest and simple interest on a sum of money at rate of 10% per annum for 2 years is Rs 50. The Principal amount is :
We need to find the principal amount given the difference between compound interest (CI) and simple interest (SI) for 2 years at a specific rate. We can use the standard formulas for SI and CI, or a direct formula for the difference between CI and SI for 2 years.
Rainfall is a crucial part of the water cycle. To understand what causes it, we need to consider the processes that lead to the formation of clouds and the subsequent release of water from them. These processes involve changes in the state of water.
C) Both evaporation and condensation. Both processes are essential for rainfall. Evaporation lifts water into the atmosphere, and condensation forms clouds from which rain eventually falls.
The question asks about Mahatma Gandhi's participation in the Round Table Conferences in England in 1931. To answer this, one needs to recall the historical timeline of the Round Table Conferences and the key figures involved in each.
Correct Option: B) Gandhiji went to England in 1931 to attend the Second Round Table Conference. He attended as the sole representative of the Indian National Congress after the Gandhi-Irwin Pact.
This problem involves calculating the speed of a boat in still water and the speed of the current. We will use the formulas for upstream and downstream speeds to find the boat's speed in still water and then calculate the time required to cover a given distance.
Let the speed of the boat in stationary water be \(v_b\) km/hr and the speed of the stream be \(v_s\) km/hr.
When the boat goes against the current (upstream), its effective speed is \(v_b - v_s\).
Given: Distance = 2 km, Time = 1 hour.
So, the upstream speed is:
\[ v_b - v_s = \frac{\text{Distance}}{\text{Time}} = \frac{2 \text{ km}}{1 \text{ hr}} = 2 \text{ km/hr} \quad \text{(Equation 1)} \]When the boat goes along the current (downstream), its effective speed is \(v_b + v_s\).
Given: Distance = 1 km, Time = 10 minutes.
Convert 10 minutes to hours:
\[ 10 \text{ minutes} = \frac{10}{60} \text{ hours} = \frac{1}{6} \text{ hours} \]So, the downstream speed is:
\[ v_b + v_s = \frac{\text{Distance}}{\text{Time}} = \frac{1 \text{ km}}{1/6 \text{ hr}} = 6 \text{ km/hr} \quad \text{(Equation 2)} \]Now we have a system of two linear equations:
Equation 1: \(v_b - v_s = 2\)
Equation 2: \(v_b + v_s = 6\)
Add Equation 1 and Equation 2:
\[ (v_b - v_s) + (v_b + v_s) = 2 + 6 \] \[ 2v_b = 8 \] \[ v_b = \frac{8}{2} = 4 \text{ km/hr} \]The speed of the boat in stationary water is 4 km/hr.
We need to find the time it will take to go 5 km in stationary water.
Using the formula: \(\text{Time} = \frac{\text{Distance}}{\text{Speed}}\)
\[ \text{Time} = \frac{5 \text{ km}}{4 \text{ km/hr}} = \frac{5}{4} \text{ hours} \]Convert the time from hours to minutes:
\[ \text{Time in minutes} = \frac{5}{4} \times 60 \text{ minutes} = 5 \times 15 \text{ minutes} = 75 \text{ minutes} \]75 minutes can also be expressed as 1 hour and 15 minutes.
C) 1 hour 15 mins
A) 40 mins — This would imply a faster speed or shorter distance, which is not consistent with our calculations.
B) 1 hour — This would mean the boat travels at 5 km/hr in stationary water, but we calculated its speed as 4 km/hr.
D) 1 hour 30 mins — This would imply a slower speed or longer distance, which is not consistent with our calculations.
The question asks about the number of times Australia had won the Sultan Azlan Shah Hockey Tournament by the year 2013. This requires specific knowledge of the tournament's history and past winners.
Correct Option: A) Seventh time
The question asks about the participants in the Third Battle of Panipat. This is a direct historical fact question. Recalling the key players and the context of this significant battle is essential.
Correct Option: C) Ahmad Shah Abdali and the Marathas
The Third Battle of Panipat was fought on January 14, 1761, between the Maratha Empire and the Durrani Afghan Empire (led by Ahmad Shah Abdali), supported by various Indian Muslim allies (Rohillas, Afghans of the Doab, and Shuja-ud-Daula, the Nawab of Awadh). The Marathas suffered a decisive defeat, which significantly weakened their power and temporarily halted their expansion.