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. Yet the fall in average response time may partly occur because the hardest requests disappear from the measured queue. B. A service centre creates a separate specialist team for unusually complex requests. C. Average response time for the main team subsequently falls. D. Managers should therefore consider changes in case allocation before claiming an efficiency gain.
(English): B introduces the specialist team. C gives the improved average for the main team. A explains the case-allocation effect. D gives the m…
Arrange the following sentences in the correct order. A. The average can therefore decline even if the wages of existing workers remain unchanged. B. A rapidly expanding industry hires large numbers of entry-level employees. C. These new workers initially earn less than the industry's experienced workforce. D. Analysts should consequently distinguish wage changes from changes in workforce composition.
(English): B introduces rapid hiring. C explains the lower wages of new workers. A shows how the industry average can decline. D gives the analyt…
Arrange the following sentences in the correct order. A. The improvement may therefore reflect easier questions rather than greater student knowledge. B. Average scores on an entrance examination rise substantially in one year. C. The examination that year contains fewer difficult questions than previous versions. D. Comparisons across years should therefore account for differences in test difficulty.
(English): B introduces higher scores. C explains the easier examination. A gives the alternative interpretation. D provides the comparison princ…
Arrange the following sentences in the correct order. A. The increase in average output may therefore partly result from a change in what the factory produces. B. A factory reports that output per worker has increased significantly. C. During the same period, production shifts from complex customised items to simpler standard products. D. Analysts should consequently compare productivity within similar product categories.
(English): B introduces higher measured productivity. C explains the shift toward simpler products. A identifies the composition effect. D gives…
Arrange the following sentences in the correct order. A. This can create the illusion that the intervention benefited everyone equally. B. A national programme reports only its average effect across all participants. C. Positive effects in one large group offset negative effects in a smaller group. D. Subgroup analysis is therefore necessary when effects may vary substantially across populations.
(English): B introduces the average effect. C shows offsetting subgroup effects. A explains the misleading impression. D gives the analytical rec…
Arrange the following sentences in the correct order. A. If losses are concentrated among poorer households, the same average effect may carry much greater social significance. B. Two policies produce the same average monetary loss per household. C. Under one policy, losses are spread evenly; under the other, they fall mainly on low-income households. D. Distribution therefore matters even when the mean effect is identical.
(English): B introduces identical average losses. C shows different distributions. A explains why concentrated losses matter more socially. D giv…
Arrange the following sentences in the correct order. A. Therefore, a strategy that performs well under average conditions may still be dangerous if failure under rare conditions is catastrophic. B. Two investment strategies have similar average returns over many years. C. One, however, experiences much larger losses during extreme market events. D. Risk assessment should consequently consider the distribution of outcomes rather than the mean alone.
(English): B introduces similar averages. C reveals different extreme-risk profiles. A explains why averages are insufficient. D gives the risk-a…
Arrange the following sentences in the correct order. A. However, hospitals may respond by discharging borderline patients earlier than they otherwise would. B. A health authority sets a strict target for average hospital stay. C. The reported average falls after the target is introduced. D. The indicator should therefore be assessed alongside readmission rates and patient outcomes.
(English): B introduces the target. C gives the improved metric. A explains a possible strategic response. D gives the balanced evaluation. व्याख…
Arrange the following sentences in the correct order. A. Yet the same increase may have very different consequences depending on who receives it. B. A policy raises average disposable income by a fixed amount. C. For a low-income household, the increase may cover essential needs, whereas for a wealthy household it may have little practical effect. D. Distributional analysis is therefore necessary even when the average gain is identical.
(English): B introduces the equal average increase. A warns that consequences differ. C gives the contrast between households. D gives the distri…
Arrange the following sentences in the correct order. A. A reduction in average waiting time may therefore partly reflect fewer difficult cases rather than better service. B. A hospital opens a separate unit for patients requiring lengthy procedures. C. Routine patients continue to be measured in the original department. D. Performance reports should account for this change in case mix.
(English): B introduces the separate unit. C explains that difficult cases leave the original department. A gives the effect on average waiting t…
Arrange the following sentences in the correct order. A. A comparison based only on the final averages can therefore confuse demographic change with genuine improvement. B. The average test score of a district rises over several years. C. During the same period, the share of older students in the tested group declines sharply. D. Analysts should standardise for changes in group composition before interpreting the trend.
(English): B introduces the rising average. C adds a change in the tested population. A explains why the comparison may be misleading. D gives th…
Arrange the following sentences in the correct order. A. The higher average can therefore result from a shift in customer mix rather than an increase in prices. B. A hotel reports a substantial increase in the average amount spent per guest. C. During the same period, a larger share of its guests begin booking premium rooms. D. Analysts should consequently examine spending within comparable room categories.
(English): B introduces the higher average spend. C reveals the shift toward premium rooms. A explains the composition effect. D gives the analyt…
Arrange the following sentences in the correct order. A. The headline figure may therefore conceal substantial differences in who benefited. B. A government programme raises average household income in a district. C. Most of the increase, however, is concentrated among a relatively small group of households. D. Distributional data should consequently be examined alongside averages.
(English): B introduces the increase in average income. C reveals concentration of gains. A explains what the headline average hides. D gives the…
Arrange the following sentences in the correct order. A. This can make the project appear more efficient even though no process has improved. B. A construction project reports lower average cost per completed unit in its second phase. C. The second phase contains a larger share of simple units that are cheaper to build. D. Cost comparisons should therefore account for differences in project complexity.
(English): B introduces lower average cost. C explains the simpler project mix. A states why efficiency may only appear to improve. D gives the c…
Arrange the following sentences in the correct order. A. The average can therefore rise even if no individual worker becomes more productive. B. A factory closes one of its least efficient production units. C. The remaining units already had higher productivity than the closed unit. D. Analysts should consequently check whether changes in averages reflect real improvement or changes in composition.
(English): B introduces closure of the least efficient unit. C explains that the remaining units were already more productive. A gives the effect…
Arrange the following sentences in the correct order. A. Yet a narrow focus on that average can ignore whether losses are concentrated among already vulnerable groups. B. A policy is evaluated by calculating its average financial effect across the entire population. C. The overall average is slightly positive. D. Distributional analysis may therefore reach a different conclusion from an analysis based solely on the mean.
(English): B introduces average-effect evaluation. C gives a positive mean. A warns that distribution may still be highly unequal. D gives the br…
Arrange the following sentences in the correct order. A. A highly accurate average forecast may therefore still be unsuitable for planning if extreme outcomes matter greatly. B. Some forecasting methods are judged mainly by their average prediction error. C. A method can perform well on ordinary days while repeatedly missing rare but severe events. D. Evaluation should consequently consider tail risk as well as average accuracy.
(English): B introduces average-error evaluation. C gives the weakness of missing extreme events. A explains why good average accuracy can still…
Arrange the following sentences in the correct order. A. The apparent improvement may therefore be partly statistical rather than behavioural. B. A school removes its lowest-performing students from an examination cohort before final results are calculated. C. The average score of the remaining students rises substantially. D. Evaluators should check whether the population being measured remained comparable over time.
(English): B introduces removal of low performers. C gives the higher average. A interprets that rise as partly compositional. D gives the evalua…
Arrange the following sentences in the correct order. A. If all borrowers are charged the same rate, low-risk customers may leave while high-risk customers remain. B. A lender cannot perfectly observe how risky each borrower is. C. The average risk of the remaining borrowers can then increase. D. Pricing decisions should therefore consider how customers may sort themselves in response to the terms offered.
(English): B introduces information asymmetry. A describes the response to uniform pricing. C gives the worsening average-risk consequence. D pro…
Arrange the following sentences in the correct order. A. The apparent improvement may therefore partly reflect who is being measured rather than what happened to them. B. A health survey reports that average fitness among participants has improved over five years. C. During the same period, participation gradually shifts toward younger respondents. D. Researchers should consequently adjust for demographic changes before interpreting the trend.
(English): B introduces improved average fitness. C explains the demographic shift. A identifies the composition effect. D gives the analytical s…
Arrange the following sentences in the correct order. A. The increase in average performance may therefore reflect sorting rather than genuine improvement. B. A selective school begins admitting a larger proportion of already high-performing students. C. Its average examination score subsequently rises. D. Evaluators should distinguish changes in student intake from changes in teaching effectiveness.
(English): B introduces a stronger intake. C gives the higher average score. A explains that selection may account for the rise. D gives the eval…
Arrange the following sentences in the correct order. A. The average price paid may then rise even though no seller changed the price of any individual product. B. Consumers buy both inexpensive and premium versions of a product. C. Over time, they begin purchasing a larger share of premium versions. D. Analysts should therefore separate changes in product mix from actual price changes.
(English): B introduces the two product categories. C describes a shift toward premium versions. A explains the increase in average paid price. D…
Arrange the following sentences in the correct order. A. People may then conclude that the treatment is highly effective because they see only successful stories. B. Online communities often contain posts from people who experienced dramatic improvement after a treatment. C. Those who experienced no benefit may be less motivated to post about it. D. Personal testimonials should therefore not be treated as a representative measure of average effectiveness.
(English): B introduces visible success stories. C explains why unsuccessful cases may be underrepresented. A gives the resulting perception bias…
Arrange the following sentences in the correct order. A. Yet the overall decline may hide significant increases among particular age groups. B. A national report shows that smoking rates have fallen over ten years. C. Researchers should therefore examine subgroup trends before concluding that every section of society improved. D. The average combines the behaviour of many groups whose trends may differ.
(English): B introduces the national decline. D explains that the national average combines many groups. A gives the possible hidden increase amo…