The question asks about the function of the "Alt + Tab" key combination on a computer. This is a common keyboard shortcut used for managing open applications and windows.
A) Switches between open applications. This is the primary and intended function of the Alt + Tab keyboard shortcut in most operating systems, particularly Windows. It allows users to quickly navigate between different programs or windows they have open without using the mouse.
To find the ratio of expenditure, we need to understand that expenditure is calculated as the product of price and quantity. We are given the ratio of market prices and the ratio of quantities consumed. We will multiply the corresponding terms of these ratios to find the ratio of expenditures.
Let the market price of gram be \(P_g\) and the market price of pea be \(P_p\). The given ratio of their prices is:
\[ \frac{P_g}{P_p} = \frac{2}{5} \]Let the quantity of gram consumed be \(Q_g\) and the quantity of pea consumed be \(Q_p\). The given ratio of their quantities is:
\[ \frac{Q_g}{Q_p} = \frac{4}{3} \]The expenditure on gram (\(E_g\)) is the product of its price and quantity: \(E_g = P_g \times Q_g\).
The expenditure on pea (\(E_p\)) is the product of its price and quantity: \(E_p = P_p \times Q_p\).
We need to find the ratio of the expenditure on gram to pea, which is \(\frac{E_g}{E_p}\).
Substitute the expressions for \(E_g\) and \(E_p\):
\[ \frac{E_g}{E_p} = \frac{P_g \times Q_g}{P_p \times Q_p} \]This can be rewritten as:
\[ \frac{E_g}{E_p} = \left(\frac{P_g}{P_p}\right) \times \left(\frac{Q_g}{Q_p}\right) \]Now, substitute the given ratios:
\[ \frac{E_g}{E_p} = \frac{2}{5} \times \frac{4}{3} \]Multiply the fractions:
\[ \frac{E_g}{E_p} = \frac{2 \times 4}{5 \times 3} = \frac{8}{15} \]Therefore, the ratio of the expenditure on gram to pea is 8 : 15.
C) The calculation shows that the ratio of expenditure on gram to pea is 8 : 15.
To find the average of the first 13 whole numbers, we first need to identify what whole numbers are and then list the first 13 of them. After that, we will use the formula for the average, which is the sum of all numbers divided by the count of the numbers.
Identify Whole Numbers: Whole numbers are non-negative integers (0, 1, 2, 3, ...).
List the First 13 Whole Numbers: The first 13 whole numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.
Calculate the Sum of these Numbers: We need to find the sum \(S = 0 + 1 + 2 + ... + 12\). This is the sum of an arithmetic progression. The sum of the first \(n\) non-negative integers (starting from 0) can be calculated using the formula for the sum of an arithmetic series, or more simply, the sum of the first \(n-1\) natural numbers is \(\frac{(n-1)n}{2}\). Here, we have 13 numbers, so \(n=13\). The sum of the first \(N\) natural numbers (starting from 1) is \(\frac{N(N+1)}{2}\). Since our series starts from 0 and goes up to 12, it's equivalent to the sum of the first 12 natural numbers.
\[ S = \frac{12 \times (12+1)}{2} = \frac{12 \times 13}{2} = 6 \times 13 = 78 \]Calculate the Average: The average is the sum of the numbers divided by the count of the numbers. We have 13 numbers.
\[ \text{Average} = \frac{\text{Sum of numbers}}{\text{Count of numbers}} = \frac{78}{13} = 6 \]Correct Option: A) 6 is the average of the first 13 whole numbers.
The classification of towns and cities in India is based on their population size, as defined by the Census of India. Understanding these population categories is crucial for answering this question.
C) Class V is the correct classification for a city with a population of less than 10,000 and more than 5,000. Specifically, this class includes towns with a population ranging from 5,000 to 9,999.
The question asks to identify a groundwater-based irrigation source among the given options. We need to understand the difference between surface water sources and groundwater sources for irrigation.
Based on this analysis, open-wells are the only option that directly utilizes groundwater for irrigation.
D) Open-well — Open-wells are dug into the ground to reach the water table, thus drawing water from underground aquifers, which is groundwater.
The problem involves compound interest. We are given the total amount Ashish has, the interest rate, and the time periods for which Arun and Mahesh invest their respective shares. The key information is that both Arun and Mahesh receive the same final amount after their respective investment periods. We need to find the initial amount given to Mahesh.
B) The amount Ashish gave to Mahesh is ₹580.
This question tests knowledge of basic file system operations, specifically how operating systems handle attempts to delete non-empty directories without explicit recursive options. Standard file system commands are designed to prevent accidental data loss.
rmdir in Unix-like systems or the default delete action in graphical interfaces) is typically designed to remove only empty directories. This is a safety mechanism.rm -r or rmdir /s) is usually required, which explicitly tells the system to delete everything inside. The question specifies that no such recursive options are used.Correct Option: D) The operating system will return an error indicating that the directory is not empty.
rm -ri), a standard non-recursive delete command on a non-empty directory will simply fail with an error, not initiate a per-item confirmation process.The question asks for the full form of OCI in the context of Indian citizenship. This is a direct recall question related to common terms used in Indian administrative and legal frameworks, particularly concerning non-resident Indians and persons of Indian origin.
Correct Option: C) Overseas Citizen of India
The term OCI stands for "Overseas Citizen of India". It is an immigration status permitting a foreign citizen of Indian origin to live and work in the Republic of India indefinitely. It is not considered dual citizenship by the Indian constitution but offers many of the benefits of being an Indian citizen, excluding the right to vote, hold constitutional office, or acquire agricultural land.
The question asks to identify the leader who presided over the 1929 Lahore Session of the Indian National Congress, where the 'Purna Swaraj' resolution was adopted. This requires knowledge of key historical events and the presidencies of important Congress sessions.
B) Jawaharlal Nehru — Jawaharlal Nehru was indeed the president of the 1929 Lahore Session of the Indian National Congress, where the historic 'Purna Swaraj' resolution was passed.
This problem involves calculating the combined rate of filling and emptying pipes. We will determine the individual filling/emptying rates, combine them to find the net filling rate, and then use this net rate to calculate the time required to fill half the tank.
Calculate the filling rate of the first pipe:
The first pipe can fill the tank in 9 minutes. So, its filling rate is:
\[ \text{Rate}_1 = \frac{1}{\text{Time taken}} = \frac{1}{9} \text{ tank/minute} \]Calculate the emptying rate of the second pipe:
The second pipe can empty the tank in 90 minutes. So, its emptying rate is:
\[ \text{Rate}_2 = \frac{1}{\text{Time taken}} = \frac{1}{90} \text{ tank/minute} \]Since this pipe empties the tank, its contribution to filling is negative.
Calculate the net filling rate when both pipes are open:
The net rate is the filling rate minus the emptying rate:
\[ \text{Net Rate} = \text{Rate}_1 - \text{Rate}_2 = \frac{1}{9} - \frac{1}{90} \]To subtract these fractions, find a common denominator, which is 90:
\[ \text{Net Rate} = \frac{10}{90} - \frac{1}{90} = \frac{10 - 1}{90} = \frac{9}{90} = \frac{1}{10} \text{ tank/minute} \]This means that with both pipes open, the tank fills at a rate of \(1/10\) of the tank per minute.
Calculate the time to fill the entire tank:
If the net rate is \(1/10\) tank/minute, the time to fill the entire tank is the reciprocal of the net rate:
\[ \text{Time to fill full tank} = \frac{1}{\text{Net Rate}} = \frac{1}{1/10} = 10 \text{ minutes} \]Calculate the time to fill half of the tank:
We need to find the time to fill half of the tank. So, we divide the time to fill the full tank by 2:
\[ \text{Time to fill half tank} = \frac{\text{Time to fill full tank}}{2} = \frac{10}{2} = 5 \text{ minutes} \]A) 5 — As calculated, it will take 5 minutes to fill half of the tank.