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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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. The apparent stability may therefore result from offsetting movements rather than genuine absence of change. B. An average can remain constant even when the values beneath it change substantially. C. One subgroup may improve by roughly the same amount that another subgroup deteriorates. D. Analysts should consequently inspect the underlying distribution before concluding that nothing changed.
(English): B introduces a stable average. C explains how opposite subgroup movements can cancel out. A states the implication. D gives the analyt…
Arrange the following sentences in the correct order. A. As a result, the published average may systematically differ from the experience of people who are hardest to reach. B. Survey researchers repeatedly contact households until enough responses are collected. C. Households that are difficult to contact may differ in important ways from those that answer quickly. D. Response rates alone therefore do not guarantee that a survey is representative.
(English): B introduces repeated survey contact. C explains that difficult-to-reach households may be systematically different. A states the resu…
Arrange the following sentences in the correct order. A. The resulting improvement may therefore reflect both the intervention and the changing composition of participants. B. A voluntary training programme reports rising average test scores over several months. C. Participants who struggle the most are also the most likely to stop attending. D. Evaluators should consequently examine dropout patterns before attributing the full increase to training.
(English): B introduces the rising scores. C explains that weaker participants may leave. A shows how this can raise the average independently of…
Arrange the following sentences in the correct order. A. This can make the final average look healthier than the experience of many individual households. B. Household income may rise strongly for a small number of high-income families. C. At the same time, income for a much larger group may remain almost unchanged. D. Analysts should therefore examine the distribution of income rather than relying only on the average.
(English): B introduces rapid income growth for a small group. C contrasts this with stagnation for many others. A explains how the average can t…
Arrange the following sentences in the correct order. A. This can make a temporary increase in measured productivity look like a permanent technological improvement. B. During a downturn, firms may reduce hours or dismiss lower-productivity workers first. C. The workers who remain can have a higher average output per hour even without any new technology. D. Analysts should therefore separate cyclical composition effects from structural productivity growth.
(English): B introduces selective labour adjustment during downturns. C explains why average productivity can rise. A states how the rise may be…
Arrange the following sentences in the correct order. A. This makes the apparent stability of the average misleading when the composition of the population changes. B. A country's average household size may remain unchanged even while important demographic shifts are occurring. C. Some regions may experience smaller families while others see an increase in multigenerational households. D. Demographic analysis should therefore examine subgroup patterns rather than rely only on a national mean.
(English): B introduces an apparently stable national average. C explains how opposing regional changes can offset each other. A states why the a…
Arrange the following sentences in the correct order. A. Consequently, an improvement in the average can coexist with deterioration for a substantial minority. B. A national average combines the experiences of groups that may be moving in opposite directions. C. Policymakers should therefore examine distributions and subgroup outcomes in addition to the overall mean. D. Income may rise rapidly for one segment while stagnating or falling for another.
(English): B introduces the limitation of a national average. D gives an example of groups moving differently. A states the consequence. C gives…
Arrange the following sentences in the correct order. A. However, this apparent improvement may arise because weaker firms have already exited the market. B. Average productivity in an industry sometimes rises sharply after an economic downturn. C. Analysts should therefore separate genuine productivity gains from changes in the composition of surviving firms. D. The remaining firms may simply have been more productive even before the downturn began.
(English): B introduces the rise in average productivity. A immediately questions the apparent improvement. D explains that less productive firms…
Arrange the following sentences in the correct order. A. This can cause the average result to improve even if no individual participant becomes better off. B. Average outcomes can change when the composition of a group changes. C. Suppose lower-performing members leave a programme while higher-performing members remain. D. Analysts should therefore check whether changes in averages reflect real improvement or simply changes in who is being measured.
(English): B introduces compositional change. C gives an example. A explains how the average may improve without individual improvement. D gives…
Arrange the following sentences in the correct order. A. Consequently, policies based only on average rainfall may underestimate agricultural risk. B. Farmers are affected not only by the total amount of rainfall but also by when it arrives. C. The same annual rainfall can produce very different harvests if one year receives timely showers and another experiences long dry periods followed by intense rain. D. Agricultural planning should therefore examine rainfall distribution as well as annual totals.
(English): B introduces timing as important. C illustrates why equal annual totals can produce different outcomes. A gives the policy consequence…
Arrange the following sentences in the correct order. A. The same event can therefore affect households very differently. B. Inflation is usually reported as an average change in the prices of a basket of goods and services. C. A family spending a large share of its income on food may feel greater pressure when food prices rise rapidly. D. Personal experience of inflation depends partly on what each household actually buys.
(English): B introduces inflation as an average measure. D explains why individual experience can differ from that average. C gives a household e…
Arrange the following sentences in the correct order. A. As a result, species that once survived comfortably may face stress even before average conditions become extreme. B. Climate change affects ecosystems not only through changes in average temperature. C. It can also alter the frequency of heat waves, droughts, storms and other extreme events. D. Ecological risk assessments therefore need to consider variability and extremes as well as averages.
(English): B introduces the broader climate effect. C explains the role of extremes. A states the ecological consequence, and D gives the assessm…
Arrange the following sentences in the correct order. A. Yet this apparent improvement may partly reflect who remains in the sample. B. Suppose a training programme begins with 100 participants, but many weaker participants drop out. C. If only the strongest participants complete the programme, average performance among finishers may rise sharply. D. Evaluators must therefore distinguish genuine improvement from changes caused by selective dropout.
(English): B presents the situation. C explains how selective dropout can raise the average. A refers to “this apparent improvement” and qualifie…
Consider the following statements regarding India's fisheries sector: 1. India is the world's second-largest fish producer. 2. India contributes 8% of global fish output. 3. Average aquaculture productivity reached 4.77 tonnes per hectare. 4. Seafood exports reached ₹62,408 crore in FY 2024-25. 5. Value-added seafood exports grew by 56% over the previous five years. Which of the statements given above are correct?
India के fisheries sector के संबंध में निम्नलिखित statements पर विचार कीजिए:
1. India world का second-largest fish producer है।
2. India global fish output में 8% contribute करता है।
3. Average aquaculture productivity 4.77 tonnes per hectare तक पहुंची।
4. FY 2024-25 में seafood exports ₹62,408 crore तक पहुंचे।
5. Previous five years में value-added seafood exports 56% बढ़े।
उपरोक्त में से कौन-से statements सही हैं?
All five statements are supported by the source. India is the world's second-largest fish producer with an 8% share of global output. Average aqu…
What average inflation rate did Fitch project for India for the fiscal year?
Fitch ने चालू वित्तीय वर्ष के लिए भारत की औसत inflation rate कितनी अनुमानित की?
Fitch projected India's inflation to average 1.5% during the fiscal year.
Arrange the following sentences in the correct order. A. A country's average income may rise even when many citizens experience little improvement in their lives. B. This can happen when most of the additional income goes to a relatively small section of the population. C. Average figures can therefore hide significant differences between groups. D. Measures of inequality are needed to obtain a fuller picture of economic well-being.
(English): A presents the apparent contradiction. B explains how it can occur. C points out the limitation of averages, and D gives the analytica…
Arrange the following sentences in the correct order. A. The researchers therefore distinguished between a change in actual rainfall and a change in the amount of rainfall captured by the network. B. Historical records suggested that a mountainous region had experienced a substantial increase in average annual rainfall. C. The newer network included several high-altitude stations that had not contributed to the earlier records. D. Since precipitation often varies with elevation, the expansion of the monitoring network could itself influence the regional average. Options:
(English): B introduces the apparent rainfall increase. C identifies new high-altitude monitoring stations. D explains why elevation matters. A c…
Arrange the following sentences in the correct order. A. Such differences can substantially alter the meaning of an average national figure. B. National statistics often combine regions with very different economic and social conditions. C. One region may have high incomes and strong infrastructure while another struggles with poverty and weak services. D. Regional analysis is therefore important when national averages conceal local disparities.
(English): B introduces national aggregation. C illustrates regional variation. A refers to “Such differences” and explains their effect. D concl…
Arrange the following sentences in the correct order. A. A statistical average can change even when the condition of most individuals remains unchanged. B. This may happen if a small number of extremely high or low values shift dramatically. C. Looking only at the average can therefore create a misleading picture of what happened to the typical person. D. Analysts often examine the distribution of values in addition to the average.
(English): A introduces a limitation of averages. B explains how extreme values create the effect. C states the risk of misleading interpretation…
The average age of a husband and wife at the time of their marriage was 28 years. Their daughter was born two years after their marriage. If the present average age of all three family members is 24 years, how many years ago did the couple get married? / एक पति और पत्नी की शादी के समय उनकी औसत आयु 28 वर्ष थी। उनकी बेटी का जन्म शादी के दो वर्ष बाद हुआ। यदि वर्तमान में परिवार के तीनों सदस्यों की औसत आयु 24 वर्ष है, तो दंपति की शादी कितने वर्ष पहले हुई थी?
At the time of marriage, the total age of the husband and wife was 28 × 2 = 56 years. Let they got married x years ago. Their present total age i…
Arrange the following sentences in the correct order. A. A comparison of raw averages could therefore make the second hospital appear less efficient. B. One hospital treats mostly routine cases. C. Fair evaluation requires adjusting for differences in patient complexity. D. Another hospital serves as a referral centre for unusually difficult cases.
(English): B introduces the routine-case hospital. D contrasts it with the referral hospital. A explains the misleading effect on raw averages. C…
Arrange the following sentences in the correct order. A. The apparent contradiction disappears once the different levels of analysis are separated. B. A relationship observed among individuals need not appear in the same way when entire regions are compared. C. Regional averages combine many individuals with different characteristics and circumstances. D. Analysts must therefore avoid assuming that patterns at one level automatically apply at another.
(English): B introduces different patterns at individual and regional levels. C explains why aggregation changes relationships. A resolves the ap…
Arrange the following sentences in the correct order. A. This enabled the researchers to identify whether the apparent improvement was consistent across different patient groups. B. A hospital reported shorter average waiting times after introducing an appointment system. C. The hospital served both scheduled patients and emergency patients, whose waiting patterns differed considerably. D. Researchers analysed waiting times separately for the two groups. Options:
(English): B introduces shorter waiting times. C identifies two patient groups with different waiting patterns. D describes analysing them separa…
Arrange the following sentences in the correct order. A. The result indicated that the apparent reduction in pollution was partly influenced by the locations selected for measurement. B. A regional report showed that average air pollution had fallen substantially. C. Several monitoring stations near industrial facilities had been discontinued during the comparison period. D. Analysts calculated pollution trends using only stations that had operated continuously throughout the period. Options:
(English): B introduces the reported decline. C identifies the removal of industrial-area stations. D describes using consistently operating stat…