Average Complete Notes | औसत सम्पूर्ण नोट्स
Comprehensive notes on Average with formulas, examples, and 30 practice questions for SSC, Railway, and Indian government exam preparation.
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Study Articles (13)
Published explanations and study notes matching your search.
A bullet train covers a fixed distance in 30 minutes at an average speed of 240 km/h. Due to track maintenance, it needs to be diverted, increasing the distance by 20%. If the train needs to arrive at its destination on time (i.e., in 30 minutes), what should its new average speed be in km/h?
Learn how to find the new average speed of a bullet train that covers 20% more distance but must arrive on time. Ideal for SSC, Railway, and government exam prep.
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The average of 15 numbers is 80. The average of the first 6 numbers is 72. The average of the next 6 numbers is 25% more than the average of the first 6 numbers. The 13th number is 8 more than the 15th number, and the 14th number is 10 less than the 15th number. What is the average of the 13th and 14th numbers?
Learn to find the average of the 13th and 14th numbers using given averages and relationships in this SSC CGL PYQ math problem solution.
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What is the average of all integers between 100 and 250 that are exactly divisible by 11?
Learn how to find the average of integers divisible by 11 between 100 and 250 using arithmetic progression, a key concept for SSC, Railway, and government exams.
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During 1991–92 to 1998–99, which industrial sector showed a clear decline in the average annual growth according to the Index of Industrial Production (IIP)?
During 1991–92 to 1998–99, which industrial sector showed a clear decline in the average annual growth according to the Index of Industrial Production (IIP)? 19
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26 August 2026 Current Affairs: UPI 10 Years, India Post App Upgrades
UPI marks 10 years with 66 crore average daily transactions, record volumes and global rollout; Ministry of Communications upgrades Dak MITRA and Dak Sewa apps, serving 1.4 lakh+ b
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SSC CGL 2025 Maths Solution | 15 September Shift 3 | Previous Year Paper
SSC CGL 2025 15 September Shift 3 Maths Questions with complete solutions and answers. Practice important previous year Mathematics questions asked in SSC CGL Tier 1 and improve yo
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SSC CGL 2025 Maths Question Paper Solution | 15 September Shift 1 | Complete Video Solutions
Prepare with the complete SSC CGL 2025 15 September Shift 1 Maths Question Paper Solutions. This article/video contains detailed step-by-step solutions for all Quantitative Aptitud
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50 River and Boat Problems MCQs for SSC CGL, CHSL, MTS & Railway | Bilingual (English + हिन्दी) with Answers
Practice 50 important River and Boat aptitude questions specially designed for SSC CGL, SSC CHSL, SSC MTS, CPO, GD, RRB NTPC, Group D, ALP and other competitive exams. This bilingu
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Top 25 SSC & Railway Maths MCQs with Answers (Bilingual)
Prepare for SSC CGL, SSC CHSL, SSC MTS, SSC GD, RRB NTPC, Railway Group D, and other competitive exams with these Top 25 Maths MCQs in bilingual (English & Hindi). This practice se
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Age Problems Practice Set | SSC, Railway, Banking & Competitive Exams
Practice important Age Problems MCQs for SSC, Railway, Banking and other competitive exams with Vitorr Classes. This set includes questions based on present age, past age, future a
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15 mins Arithmetic Set 4 for SSC & Railway Exams Solution
Detailed solutions for 25 arithmetic problems focused on SSC, Railway, and government exam preparation. Topics include profit, work, speed, averages, and interest calculations.
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SSC GD MATH PRACTICE PAPER
Practice SSC GD 2026 math questions with solutions covering profit, averages, geometry, interest, and more for SSC, Railway, and government exam preparation.
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145 matching questions
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Arrange the following sentences in the correct order. A. This distinction was important because a lower average cost per passenger did not necessarily imply a lower total operating cost. B. A metro operator reported that operating cost per passenger had fallen significantly. C. Passenger numbers had risen much faster than the system's total operating expenditure. D. Analysts therefore examined total expenditure and passenger volume separately. Options:
(English): B introduces the falling unit cost. C explains that passenger growth exceeded expenditure growth. D describes separating the two measu…
Arrange the following sentences in the correct order. A. The adjustment showed that the apparent improvement was partly due to the exclusion of incomplete applications. B. A government department reported that the average time required to approve applications had fallen. C. Under the new procedure, incomplete applications were returned before being entered into the processing-time database. D. Analysts recalculated processing time from the date applications were first received, including those requiring correction. Options:
(English): B introduces the reported improvement. C identifies the exclusion of incomplete applications. D describes recalculating from initial r…
Arrange the following sentences in the correct order. A. The apparent improvement therefore required further examination before being attributed to the new policy. B. A municipality reported a significant reduction in average household waste after introducing a recycling programme. C. The municipality had also changed its reporting method to exclude certain commercial waste collected alongside household waste. D. Investigators reconstructed the earlier figures using the new reporting definition. Options:
(English): B introduces the reported reduction. C reveals the change in statistical definitions. A explains why the improvement cannot immediatel…
Arrange the following sentences in the correct order. A. The students then calculated the average height of the plants in each group. B. A biology class investigated whether light affected the growth of seedlings. C. After two weeks, the height of every seedling was measured. D. Two groups of similar seedlings were placed under different light conditions. Options:
(English): B introduces the investigation. D describes the experimental setup. C gives the measurements after two weeks, and A describes analysin…
Arrange the following sentences in the correct order. A. The comparison therefore provides a more credible estimate of the intervention's effect than the simple before-and-after change. B. A city introduces a programme intended to reduce household energy consumption, after which average consumption falls. C. Energy use also falls in comparable neighbouring cities during the same unusually mild season. D. Evaluators compare the decline in the programme city with the declines observed in those cities. Options:
(English): B introduces the programme and subsequent decline. C identifies a broader seasonal change affecting comparison cities as well. D descr…
Arrange the following sentences in the correct order. A. Such a pattern would be difficult to explain if the programme alone were responsible for the improvement. B. A district introduces a reading programme, after which children's average test scores increase. C. Scores rise by a similar amount in neighbouring districts that did not introduce the programme. D. Researchers therefore investigate regional changes in curriculum and examination design. Options:
(English): B introduces the programme and subsequent improvement. C shows a similar increase where the programme was absent. A explains why this…
Arrange the following sentences in the correct order. A. Researchers therefore hesitate to interpret the pattern as evidence of a biological shift until the sampling history is reconstructed. B. Recent specimens of a marine organism appear smaller on average than specimens preserved from earlier decades. C. Museum records reveal that older collectors preferentially preserved unusually large specimens. D. Such selective collection would make the historical sample systematically different from the population from which it came. Options:
(English): B introduces the apparent decrease in organism size. C identifies selective historical collection. D explains how this biases the old…
Arrange the following sentences in the correct order. A. The result implies that much of the apparent improvement arose from excluding the most difficult transactions. B. A bank reports that the average time needed to process customer requests has fallen after automation. C. Complex requests that cannot be processed automatically are now transferred to a separate specialist queue and excluded from the main statistic. D. When analysts include those requests, the reduction in overall processing time becomes substantially smaller. Options:
(English): B introduces the reported improvement after automation. C reveals that difficult requests were moved out of the main statistic. D desc…
Arrange the following sentences in the correct order. A. This result suggests that the apparent relationship may largely reflect differences in experience. B. A company observes that employees working remotely complete certain tasks faster than employees working in the office. C. Remote workers in the sample have, on average, considerably more experience in those tasks. D. When employees with similar experience are compared, the performance gap becomes much smaller. Options:
(English): B introduces the performance difference. C identifies unequal experience. D gives the controlled comparison, and A interprets the redu…
Arrange the following sentences in the correct order. A. Researchers then examine whether this pattern remains after accounting for differences in age and occupation. B. A survey finds that people living closer to a city centre use public transport more frequently. C. Central residents are also, on average, younger and more likely to work in areas well served by transit. D. These differences could independently influence how often people use public transport. Options:
(English): B introduces the location-transit relationship. C identifies age and occupation differences. D explains why those factors matter, and…
Arrange the following sentences in the correct order. A. The finding suggests that the apparent efficiency gain partly reflects which requests remain in the system. B. A public agency reports that the average processing time for completed cases has fallen. C. Investigators find that unusually complex cases are increasingly left pending beyond the reporting period. D. When pending cases are included in an age-of-case analysis, the improvement becomes considerably smaller. Options:
(English): B introduces improved processing time. C reveals that difficult cases remain pending. D includes those cases in a broader analysis, an…
Arrange the following sentences in the correct order. A. The comparison reveals that the apparent acceleration occurs mainly because recent observations are concentrated in faster-moving sections. B. Scientists report that a glacier's average movement appears faster in recent measurements. C. Older measurements were taken across a broad range of locations, whereas newer instruments monitor only selected sections. D. Researchers compare historical and recent observations from the same parts of the glacier. Options:
(English): B introduces the apparent acceleration. C identifies a change in measurement locations. D describes a like-for-like comparison, and A…
Arrange the following sentences in the correct order. A. The apparent contradiction disappears when output is expressed relative to the amount of land cultivated. B. A district reports record agricultural production despite a decline in average yield per hectare. C. The total area brought under cultivation has expanded considerably. D. Thus, lower productivity per unit of land has been offset by farming a larger area. Options:
(English): B presents the apparent contradiction. C provides the crucial increase in cultivated area. D explains how total production can rise de…
Arrange the following sentences in the correct order. A. The revised estimate therefore describes the change in purchasing power rather than merely the change in nominal income. B. Workers receive an average wage increase of eight per cent over a year. C. During the same period, however, the prices of goods and services also rise substantially. D. Economists adjust the wage figures for inflation before assessing whether workers can actually purchase more. Options:
(English): B introduces the nominal wage increase. C adds the simultaneous rise in prices. D describes adjusting wages for inflation, and A expla…
Arrange the following sentences in the correct order. A. The observation suggests that the apparent advantage may depend on the conditions under which each variety is grown. B. An agricultural trial initially shows that one crop variety produces a higher average yield than another. C. Researchers notice that the higher-yielding variety was planted mainly in fields with better soil quality. D. When both varieties are compared within similar soil conditions, the difference in yield becomes smaller. Options:
(English): B introduces the yield difference. C identifies unequal soil quality. D describes the controlled comparison, and A interprets the resu…
Arrange the following sentences in the correct order. A. The records reveal that the apparent fall occurred mainly because several expensive procedures were reclassified under a different category. B. A health department reports that average spending in one treatment category has declined. C. Analysts compare the classification rules used before and after the reporting change. D. They conclude that the figures do not represent an equivalent reduction in the underlying cost of treatment. Options:
(English): B introduces the spending decline. C describes examining classification rules. A reveals reclassification as the reason, and D states…
Arrange the following sentences in the correct order. A. The revised measure shows a smaller improvement than the original average suggested. B. A hospital reports that its average waiting time has fallen substantially. C. Analysts discover that patients who leave before being seen are excluded from the waiting-time calculation. D. They recalculate the measure while accounting for those who left after waiting. Options:
(English): B introduces the improved waiting-time figure. C identifies an excluded group. D describes a broader recalculation, and A gives the re…
Arrange the following sentences in the correct order. A. The resulting figures allow the organisation to distinguish changes in service quality from changes in the difficulty of the cases it handles. B. A legal-aid organisation reports that its average case-resolution time has increased. C. Staff discover that a greater proportion of recent cases involve complicated disputes requiring several hearings. D. The organisation begins reporting resolution times separately for different categories of cases. Options:
(English): B introduces the longer resolution time. C identifies the changing case mix. D describes category-specific reporting, and A explains i…
Arrange the following sentences in the correct order. A. The researchers therefore examine whether the change is concentrated in particular types of transactions. B. A bank observes that the average time required to process customer requests has fallen. C. The analysis reveals that simple requests are increasingly handled through automated channels. D. They then report processing times separately for automated requests and those requiring staff assistance. Options:
(English): B introduces the shorter processing time. A describes the investigation. C identifies the growing use of automation, and D gives the m…
Arrange the following sentences in the correct order. A. A comparison restricted to customers who remained active consequently gives an incomplete account of the policy's effects. B. A subscription service increases its monthly fee and later reports higher average revenue per active customer. C. However, a considerable number of price-sensitive customers cancel their subscriptions after the increase. D. A fuller assessment considers both the additional revenue from remaining customers and the revenue lost through cancellations. Options:
(English): B introduces the fee increase and revenue figure. C identifies the cancellations. A explains the limitation of examining only active c…
Arrange the following sentences in the correct order. A. The difference indicates that the overall average concealed a substantial change in the kinds of work being performed. B. A company reports that employees now complete more tasks per hour than before. C. Analysts discover that the company has automated several complicated tasks while leaving simpler tasks to employees. D. When productivity is examined separately for comparable tasks, the reported increase becomes much smaller. Options:
(English): B introduces the productivity claim. C identifies the change in task composition. D gives the like-for-like comparison, and A explains…
Arrange the following sentences in the correct order. A. The results show that the treatment's apparent benefit is concentrated among patients who began receiving it early. B. Researchers initially report that patients receiving a particular treatment recover faster on average. C. This finding prompts them to distinguish the treatment's overall association with recovery from the influence of when it is administered. D. They divide the treated patients into groups according to the stage of illness at which treatment began. Options:
(English): B introduces the initial finding. D describes the stage-based analysis. A gives its result, and C explains the resulting distinction.…
Arrange the following sentences in the correct order. A. The apparent contradiction disappears once the researchers distinguish the number of transactions from their average value. B. A market report shows that online purchases have become more frequent while total spending has remained nearly unchanged. C. Further analysis reveals that consumers are making smaller purchases more often. D. The increase in transaction frequency is therefore offset by a decline in expenditure per transaction. Options:
(English): B presents the apparently conflicting figures. C identifies the change in purchasing behaviour. D explains how the figures can coexist…
Arrange the following sentences in the correct order. A. The resulting estimate is less affected by unusually high or low sales during a single week. B. A retailer wants to forecast demand for a product with fluctuating weekly sales. C. The manager calculates average sales over several comparable weeks rather than relying on the most recent week alone. D. The forecast is then used to decide how much stock to order. Options:
(English): B introduces the forecasting problem. C describes the averaging method. A explains its benefit, and D gives the practical use of the f…