To find the correct average, we first need to calculate the original sum of observations. Then, we adjust this sum by subtracting the incorrectly read value and adding the correct value. Finally, we divide the corrected sum by the total number of observations to get the correct average.
The formula for average is:
\[ \text{Average} = \frac{\text{Sum of observations}}{\text{Number of observations}} \]Given that the average of 10 observations is 40, we can find the sum:
\[ \text{Original Sum} = \text{Average} \times \text{Number of observations} \]\[ \text{Original Sum} = 40 \times 10 = 400 \]An observation was misread as 33 instead of 50. To correct the sum, we need to subtract the incorrect value and add the correct value.
\[ \text{Corrected Sum} = \text{Original Sum} - \text{Incorrect Value} + \text{Correct Value} \]\[ \text{Corrected Sum} = 400 - 33 + 50 \]\[ \text{Corrected Sum} = 367 + 50 \]\[ \text{Corrected Sum} = 417 \]The number of observations remains the same (10). Now, we divide the corrected sum by the number of observations to find the correct average.
\[ \text{Correct Average} = \frac{\text{Corrected Sum}}{\text{Number of observations}} \]\[ \text{Correct Average} = \frac{417}{10} \]\[ \text{Correct Average} = 41.7 \]D) 41.7 is the correct average after correcting the misread observation.
To solve this problem, we need to calculate the final salary after two consecutive percentage changes. We can assume an initial salary (e.g., 100) to simplify calculations. First, we apply the reduction, and then we apply the increase to the reduced amount. Finally, we compare the final salary with the initial salary to find the percentage difference.
D) 7.6% is the correct answer. The final salary is 7.6% lower than the initial salary.
The question asks for the year when privy purses were officially abolished in India. This is a historical and constitutional fact related to the integration of princely states into the Indian Union.
Correct Option: D) 1971. The 26th Constitutional Amendment Act, which officially abolished privy purses, was passed in 1971.
The problem presents a series of three-letter codes. We need to identify the pattern in the alphabetical positions of the letters within each code and across the codes to find the missing term.
Let's analyze the series term by term:
Combining the letters found, the next term in the series is NID.
A) NID is the correct option as it follows the established pattern for all three positions.
To solve this problem, we need to first identify the odd and even digits in the given number. Then, we apply the specified operations (add 1 to odd digits, subtract 2 from even digits) to form a new number. Finally, we find the highest and lowest digits in this new number and calculate their difference.
Correct Option: A) 6
The question asks to identify the endangered bird species for which the Desert National Park is particularly known. This requires knowledge of the specific fauna protected within this national park.
Correct Option: C) Great Indian Bustard — The Desert National Park in Rajasthan is one of the last remaining natural habitats for the critically endangered Great Indian Bustard (Ardeotis nigriceps). Conservation efforts for this species are heavily concentrated in this park.
The question asks for the primary reason behind the widespread protest against the Simon Commission in 1928. To answer this, we need to recall the historical context and the composition of the Simon Commission.
Correct Option: D) Lack of Indian representation. The Simon Commission was entirely composed of British members, which was seen as an affront to Indian aspirations and a denial of their right to participate in determining their own constitutional future. This led to widespread protests and a boycott by all major Indian political parties.
To find the missing number in the series, we need to identify the pattern of differences between consecutive terms. We will calculate the difference between each adjacent pair of numbers and look for a sequence or rule in these differences.
Therefore, the missing number in the series is 876.
Correct Option: B) 876
The question asks about the type of assistance India provides to Myanmar under Operation Brahma 2025. To answer this, one needs to recall the nature and scope of India's humanitarian and disaster relief operations in its neighborhood, specifically Operation Brahma.
B) Disaster relief material, humanitarian assistance, search & rescue teams. This option accurately reflects the comprehensive nature of India's assistance under Operation Brahma 2025, which encompasses a wide range of support beyond just one type of aid.
The question asks to identify which of the given options is NOT a method to search for and replace text in Microsoft Word. We need to evaluate each option to determine if it's a valid way to access the Find and Replace functionality.
Ctrl + H is a well-known keyboard shortcut in Microsoft Word (and many other applications) to directly open the "Find and Replace" dialog box with the "Replace" tab active. This is a valid method.Alt + Enter is typically used to insert a new line within a cell in Microsoft Excel or to open the properties dialog box for a selected item in Windows. It does not perform a "Find and Replace" function in Microsoft Word.Based on the analysis, Alt + Enter is the only option that does not lead to the Find and Replace functionality in Microsoft Word.
Correct Option: B) Click on Alt + Enter key