To find the actual average score, we first need to calculate the initial total score based on the given average. Then, we identify the errors in recording scores and adjust the total score by subtracting the wrongly recorded values and adding the correct values. Finally, we divide the corrected total score by the number of students to get the actual average.
Calculate the initial total score:
Given, number of students \(N = 50\)
Average score (recorded) \(= 45\)
Initial total score \(= N \times \text{Average score}\)
\[ = 50 \times 45 = 2250 \]
Identify the errors and their impact:
First error: A score of 25 was wrongly recorded as 35.
This means 35 was added to the total, but 25 should have been added. The excess added is \(35 - 25 = 10\). To correct this, we need to subtract 10 from the total.
Second error: A score of 30 was wrongly recorded as 28.
This means 28 was added to the total, but 30 should have been added. The deficit added is \(30 - 28 = 2\). To correct this, we need to add 2 to the total.
Calculate the net change in total score:
Net change \(= (\text{Correct values}) - (\text{Wrongly recorded values})\)
Net change \(= (25 + 30) - (35 + 28)\)
Net change \(= 55 - 63 = -8\)
Alternatively, using the individual changes: \(-10\) (from first error) \(+2\) (from second error) \(= -8\).
Calculate the actual total score:
Actual total score \(= \text{Initial total score} + \text{Net change}\)
\[ = 2250 + (-8) = 2250 - 8 = 2242 \]
Calculate the actual average score:
Actual average score \[= \frac{\text{Actual total score}}{\text{Number of students}}\]
\[ = \frac{2242}{50} = 44.84 \]
D) 44.84 is the actual average score after correcting the errors in recording.
The question asks to identify which vehicle category is NOT eligible for demand incentives under the PM E-DRIVE Scheme. This requires knowledge of the scheme's objectives and the types of vehicles it supports.
B) Electric three-wheelers used for personal use are generally not eligible for demand incentives under schemes like PM E-DRIVE. These schemes primarily focus on promoting electric vehicles for commercial purposes (e.g., last-mile connectivity, goods delivery) or specific personal segments (like two-wheelers) to maximize environmental and economic benefits.
To solve this problem, we need to apply the given rules to each digit of the original number: add 2 to even digits and subtract 1 from odd digits. After forming the new number, we will count how many unique digits appear more than once.
A) Two. The digits 8 and 4 appear more than once in the new number 8082644.
What is the maximum percentage of reservation allowed for Economically Weaker Sections (EWS) under the 103rd Amendment Act, 2019?
The question asks about the maximum percentage of reservation for Economically Weaker Sections (EWS) as introduced by the 103rd Amendment Act, 2019. This requires knowledge of the specific provisions of this constitutional amendment.
Correct Option: D) 10% is the maximum percentage of reservation allowed for Economically Weaker Sections (EWS) under the 103rd Amendment Act, 2019. This was a significant constitutional amendment aimed at providing reservation to the economically weaker sections among the general category.
This is a logical reasoning problem involving arrangement. We need to deduce the floor on which each person lives based on the given clues and then determine the number of people between M and N.
Identify the floors: There are six floors, numbered 1 to 6 from bottom to top.
Place T: "T lives on the topmost floor."
Floor 6: T
Place N: "Only three people live between T and N."
If T is on floor 6, and there are three people between T and N, then N must be on floor 2 (6 - 3 - 1 = 2).
Floor 6: T
Floor 5: _
Floor 4: _
Floor 3: _
Floor 2: N
Floor 1: _
Place O: "O lives on a floor below N."
Since N is on floor 2, O must be on floor 1.
Floor 6: T
Floor 5: _
Floor 4: _
Floor 3: _
Floor 2: N
Floor 1: O
Place S: "S lives on an even numbered floor."
The remaining empty floors are 3, 4, and 5. The only even numbered floor available is 4.
Floor 6: T
Floor 5: _
Floor 4: S
Floor 3: _
Floor 2: N
Floor 1: O
Place U: "U lives on an odd numbered floor but not on floor number 5."
The remaining empty floors are 3 and 5. U cannot be on floor 5. The only odd numbered floor available for U is 3.
Floor 6: T
Floor 5: _
Floor 4: S
Floor 3: U
Floor 2: N
Floor 1: O
Place M: The only person left is M, and the only floor left is 5.
Floor 6: T
Floor 5: M
Floor 4: S
Floor 3: U
Floor 2: N
Floor 1: O
Answer the question: "How many people live between M and N?"
M is on floor 5, and N is on floor 2. The people living between them are S (floor 4) and U (floor 3). There are two people between M and N.
A) Two — As determined in the step-by-step analysis, S and U live between M (floor 5) and N (floor 2), making a total of two people.
The question asks for the year in which the New Public Sector Enterprise (PSE) Policy for Atma Nirbhar Bharat was notified. This policy is significant for its guidance on strategic disinvestment and its aim to reduce government presence in PSEs across all sectors.
Correct Option: B) The New Public Sector Enterprise (PSE) Policy for Atma Nirbhar Bharat, which provides overall guidance on strategic disinvestment and aims to minimize government presence in PSEs, was notified in 2021.
The problem presents an analogy where the relationship between the letter-cluster pair on the left side of '::' must be the same as that on the right side. We need to find the missing letter-clusters, # and %, by identifying the pattern or rule applied to transform one cluster into another.
D) # = QTS, % = EHG
The pattern is that each letter in the first cluster is shifted back by 3 positions in the alphabet to get the corresponding letter in the second cluster. For example, if we take QTS: Q (17) - 3 = N (14), T (20) - 3 = Q (17), S (19) - 3 = P (16). Thus, QTS : NQP. Applying the same rule to HKJ: H (8) - 3 = E (5), K (11) - 3 = H (8), J (10) - 3 = G (7). Thus, HKJ : EHG.
The question asks about the frequency at which the Ministry of Statistics & Programme Implementation (MoSPI) releases the Index of Industrial Production (IIP). To answer this, one needs to know the standard reporting periodicity of key economic indicators in India.
Correct Option: A) The Index of Industrial Production (IIP) is released by the Ministry of Statistics & Programme Implementation (MoSPI) on a monthly basis. This allows for regular tracking of industrial performance and helps in economic analysis and policy formulation.
The question asks to identify the head of the committee formed in 1915 to investigate the co-operative movement in India. This requires knowledge of specific historical commissions and their leadership during the British Raj.
Correct Option: D) Sir Edward Maclagan headed the 1915 committee to examine the co-operative movement in India. His committee's report was crucial for the future direction of co-operation in the country.
The problem asks us to find the monthly expenditure of a man given his monthly salary and the percentage of salary he saves. We can determine the percentage of salary he spends by subtracting the saving percentage from 100%. Then, we calculate this percentage of his total salary to find his monthly expenditure.
Since the salary is either saved or spent, the percentage spent is \(100\%\) minus the percentage saved.
\[ \text{Percentage Spent} = 100\% - \text{Percentage Saved} \]\[ \text{Percentage Spent} = 100\% - 45\% \]\[ \text{Percentage Spent} = 55\% \]The monthly expenditure is \(55\%\) of the monthly salary.
\[ \text{Monthly Expenditure} = 55\% \text{ of } \text{₹}2,580 \]\[ \text{Monthly Expenditure} = \frac{55}{100} \times 2580 \]\[ \text{Monthly Expenditure} = 0.55 \times 2580 \]\[ \text{Monthly Expenditure} = \text{₹}1419 \]D) ₹1,419 — The monthly expenditure is calculated as 55% of the salary, which is \(0.55 \times 2580 = \text{₹}1419\).