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.
Read article →
Search questions and study articles on Vitorr.
Find published questions and learning articles by topic, exam or keyword. Article results are shown separately when searching across all subjects.
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.
Read article →
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.
Read article →
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.
Read article →
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
Read article →
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
Read article →
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
Read article →
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
Read article →
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
Read article →
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
Read article →
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
Read article →
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.
Read article →
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.
Read article →
145 matching questions
Search-result pages are kept out of Google’s index; the individual permanent question pages remain the canonical pages.
Arrange the following sentences in the correct order. A. The analysis reveals that the overall decline is concentrated in a small number of heavily industrialised locations. B. A regional environmental report records a decrease in average river pollution. C. Researchers compare pollution measurements at individual monitoring stations rather than relying solely on the regional average. D. They consequently caution that the regional figure does not establish improvement along every stretch of the river. Options:
(English): B introduces the regional decrease. C describes examining individual stations. A gives the uneven pattern, and D states the limitation…
Arrange the following sentences in the correct order. A. The evaluation therefore considers both the speed of completed deliveries and the proportion of orders successfully delivered. B. A courier service reports that its average delivery time has improved after changing its routing system. C. Further examination reveals that more difficult deliveries are now returned to the sender after fewer attempts. D. Faster completion of the remaining deliveries may consequently conceal a reduction in the service's success rate. Options:
(English): B introduces the improved average. C identifies the change in handling difficult deliveries. D explains why the improvement may be mis…
Arrange the following sentences in the correct order. A. The revised analysis reveals that the overall increase was driven largely by a small number of exceptionally expensive transactions. B. An economist notices that the average price of houses sold in a city has risen sharply. C. She therefore examines the median price and the distribution of transactions across price categories. D. However, the number of homes sold in the highest price category has also increased. Options:
(English): B introduces the higher average price. D identifies a possible reason for the increase. C describes the additional statistical analysi…
Arrange the following sentences in the correct order. A. The researchers therefore avoid assuming that all areas experienced the same change. B. A regional report shows that average household income has increased. C. A closer examination reveals substantial growth in a few urban districts but little change elsewhere. D. The team presents district-level figures alongside the regional average. Options:
(English): B introduces the regional average. C reveals uneven growth. A explains why the average cannot represent every area, and D gives the re…
Arrange the following sentences in the correct order. A. The change may therefore make the average response time appear better without improving access for everyone. B. An emergency service begins prioritising calls from locations close to its response centres. C. Calls from distant locations consequently account for a smaller share of completed responses during the reporting period. D. Evaluators examine response times separately for nearby and distant communities. Options:
(English): B introduces the prioritisation rule. C explains how the reported group changes. A identifies the possible effect on the average, and…
Arrange the following sentences in the correct order. A. The apparent improvement may therefore reflect a change in the composition of the workforce rather than an increase in individual productivity. B. A company reports that its average output per employee has increased. C. During the same period, several departments with relatively low output per employee were outsourced. D. Analysts examine whether the reported average includes the workers performing those outsourced activities. Options:
(English): B introduces the productivity increase. C identifies the organisational change. A explains how outsourcing could affect the average, a…
Arrange the following sentences in the correct order. A. As a result, the reported average may overstate the experience of a typical participant. B. A charity reports the average amount donated during its annual campaign. C. A small number of exceptionally large contributions account for much of the total collected. D. The charity also reports the median donation to provide a clearer picture of the distribution. Options:
(English): B introduces the average donation. C identifies the unusually large contributions. A explains how they affect the average, and D provi…
Arrange the following sentences in the correct order. A. The change may improve the average delivery time for completed orders while leaving some customers without service. B. A delivery platform stops accepting orders from locations that regularly require long journeys. C. Its reported average delivery time subsequently falls. D. Evaluating the change requires considering service coverage alongside delivery speed. Options:
(English): B introduces the restriction. C gives the lower average delivery time. A identifies the effect on excluded customers, and D gives the…
Arrange the following sentences in the correct order. A. The reduction may partly reflect the exclusion of difficult cases rather than a general improvement in processing speed. B. An office announces that the average time required to process applications has fallen. C. The office has recently transferred its most complicated applications to a separate specialist unit. D. A meaningful comparison should therefore consider which categories of applications are included in the average. Options:
(English): B introduces the shorter average processing time. C explains the transfer of complex cases. A interprets the reduction, and D gives th…
Arrange the following sentences in the correct order. A. Consequently, the average waiting time among completed appointments may fall even though some patients now wait longer to receive care. B. A clinic begins giving priority to appointments that can be completed quickly. C. Patients requiring lengthy consultations are increasingly assigned later appointment dates. D. Evaluators should therefore examine delays before appointments as well as waiting times during clinic visits. Options:
(English): B introduces the prioritisation rule. C describes its effect on patients needing longer consultations. A explains the potentially misl…
Arrange the following sentences in the correct order. A. The average quality score consequently rises because the least successful cases are no longer included. B. A company begins evaluating customer service using only cases marked as successfully resolved. C. Cases abandoned by dissatisfied customers are excluded from the calculation. D. The reported improvement may therefore reflect the evaluation rule rather than better service. Options:
(English): B introduces the restricted evaluation method. C identifies excluded cases. A explains the effect on the average score. D gives the in…
Arrange the following sentences in the correct order. A. This changes the characteristics of the patients included in the hospital's performance statistics. B. A hospital establishes a specialist unit for patients with particularly severe conditions. C. The hospital's average recovery time increases after the unit begins operating. D. The increase should therefore be interpreted alongside the greater complexity of the patients being treated. Options:
(English): B introduces the specialist unit. A explains how it changes the patient population. C gives the increase in average recovery time. D p…
Arrange the following sentences in the correct order. A. Such an outcome may indicate that the programme has reached people who were previously excluded. B. A public library introduces free membership for residents who could not afford the earlier fee. C. Average borrowing per member initially falls after the change. D. Many new members borrow only occasionally, while existing members continue borrowing at their previous rates. Options:
(English): B introduces free membership. C presents the lower average borrowing rate. D explains the changing membership composition. A gives the…
Arrange the following sentences in the correct order. A. The decline in the average consequently appears to indicate that customers are spending less. B. A supermarket opens several smaller outlets in residential neighbourhoods. C. Customers tend to make frequent purchases of a few items at these outlets rather than large weekly purchases. D. Average spending per transaction falls after the new outlets open. Options:
(English): B introduces the smaller outlets. C describes the change in shopping behaviour. D gives the fall in average transaction value. A expla…
Arrange the following sentences in the correct order. A. The company begins serving a larger proportion of customers who require expensive technical support. B. A telecommunications company reports that its average service cost per customer has increased. C. Managers should therefore distinguish rising costs within each service category from changes in the customer mix. D. The increase may partly reflect the changing composition of customers rather than declining operational efficiency. Options:
(English): B introduces the increase in average cost. A explains the shift toward more expensive customers. D interprets the increase as a possib…
Arrange the following sentences in the correct order. A. As a result, the average customer spending increased. B. A restaurant added several premium dishes to its menu. C. Managers then examined whether the higher spending was accompanied by higher ingredient costs. D. Some customers began choosing these dishes instead of the less expensive options. Options:
(English): B introduces the premium dishes. D describes customers' response. A gives the increase in average spending. C explains the subsequent…
Arrange the following sentences in the correct order. A. Yet a rare event can still produce catastrophic losses that dominate many years of ordinary gains. B. A strategy earns small positive returns in almost every normal year. C. Average annual performance consequently appears highly attractive. D. Risk assessment should therefore examine extreme downside scenarios rather than rely only on typical outcomes.
(English): B introduces regular small gains. C explains the attractive average. A reveals catastrophic tail risk. D gives the appropriate risk-an…
Arrange the following sentences in the correct order. A. The comparison may consequently make the new procedure look slower even if it improves efficiency for comparable cases. B. Simple applications are increasingly processed automatically and disappear from the manual queue. C. A department compares the average processing time of its manual applications before and after automation. D. The applications remaining for manual processing are disproportionately complex.
(English): C introduces the before-and-after comparison. B explains that simple cases leave the manual queue. D states that the remaining cases a…
Arrange the following sentences in the correct order. A. The policy consequently appears to improve average performance substantially. B. A programme removes participants from its official statistics after they miss several sessions. C. Those participants are disproportionately likely to have poor outcomes. D. The apparent improvement may therefore arise partly from excluding difficult cases.
(English): B introduces the exclusion rule. C identifies the type of participants excluded. A gives the improvement in the reported average. D ex…
Arrange the following sentences in the correct order. A. The overall average consequently changes even though neither group's own rate changes. B. A country's employment rate is calculated from two demographic groups with very different employment levels. C. Over time, the population share of the higher-employment group increases. D. Analysts should therefore distinguish within-group changes from changes caused by population composition.
(English): B introduces two groups with different rates. C explains the changing population share. A gives the effect on the overall average. D p…
Arrange the following sentences in the correct order. A. The observed association can therefore exaggerate the benefits experienced by an average user. B. Heavy users are also more likely to remain active long enough to appear in the dataset. C. Researchers find that users who spend more time on an educational platform achieve better results. D. Analysts should examine whether inactive and early-departing users are systematically missing.
(English): C introduces the observed relationship. B identifies the selection mechanism. A explains why the association may be exaggerated. D giv…
Arrange the following sentences in the correct order. A. The national average remains almost unchanged. B. Economic conditions improve rapidly in several large cities. C. Regional data are therefore necessary to understand the changes hidden by the stable average. D. At the same time, employment deteriorates in several rural areas.
(English): B introduces urban improvement. D contrasts it with rural deterioration. A explains that the effects offset in the national average. C…
Arrange the following sentences in the correct order. A. After the rule is introduced, the average duration falls quickly. B. Some departments begin dividing complex cases into several shorter recorded cases. C. An organisation sets a target requiring every case to be completed within a fixed period. D. The improved statistic may therefore partly reflect reclassification rather than faster work.
(English): C introduces the target. A gives the apparent improvement. B explains strategic reclassification. D interprets the improved statistic.…
Arrange the following sentences in the correct order. A. The average improvement may therefore hide the fact that some participants gained little or even became worse off. B. A financial-literacy programme reports a substantial increase in participants' average savings. C. Most of the increase comes from a relatively small number of participants who begin saving very large amounts. D. Evaluators should therefore examine the distribution of individual outcomes as well as the mean.
(English): B introduces the increase in average savings. C explains that the increase is concentrated among a small group. A states what the aver…