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Previous Year Topic Wise Questions With Solutions: Averages | CSAT Preparation - UPSC PDF Download
Q1. In a T20 cricket match, three players X, Y and Z scored a total of 37 runs. The ratio of number of runs scored by X to the number of runs scored by Y is equal to the ratio of number of runs scored by Y to number of runs scored by Z. (2025)
Value-I = Runs scored by X
Value-II = Runs scored by Y
Value-III = Runs scored by Z
Which one of the following is correct?
(a) Value-I < Value-II < Value-III
(b) Value-III < Value-II < Value-I
(c) Value-I < Value-III < Value-II
(d) Cannot be determined due to insufficient data
View Answer 
Ans: (d)
As per the question,
X + Y + Z = 37
And, X/Y = Y/Z
Or Y2 = XZ
If Y = 12, then X = 9 or 16, Z = 16 or 9
So, X < Y < Z OR Z < Y < X
i.e. Value-I < Value-II < Value-III OR Value-III < Value-II < Value-I
Hence, option (d) is correct.
Note: No questions being asked from this topic in the year 2024, 2023.
Q2. The average weight of A, B, C is 40 kg, the average weight of B, D, E is 42 kg and the weight of F is equal to that of B. What is the average weight of A, B, C, D, E and F? (2022)
(a) 40.5 kg
(b) 40.8 kg
(c) 41 kg
(d) Cannot be determined as data is inadequate
View Answer Ans: (c)
According to the question,
(A + B + C)/3 = 40
Or (A + B + C) = 120 ………(i)
(B + D + E)/3 = 42
Or (B + D + E) = 126 ..……(ii)
F = B .…….(iii)
From equations (i) and (ii), we get:
A + B + C + B + D + E = 120 + 126
Or A + B + C + D + E + B = 246
Or A + B + C + D + E + F = 246 (as F = B)
So, average weight of A + B + C + D + E + F = 246/6 = 41
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FAQs on Previous Year Topic Wise Questions With Solutions: Averages - CSAT Preparation - UPSC
| 1. What are the key concepts involved in calculating averages for competitive exams like UPSC? |  |
Ans. The key concepts involved in calculating averages include understanding the definition of average, types of averages (mean, median, mode), and the formulas used for their calculation. The mean is calculated by dividing the sum of all values by the number of values. The median is the middle value when data is arranged in order, and the mode is the value that appears most frequently in a dataset. Familiarity with these concepts helps in solving problems efficiently in competitive exams.
| 2. How can the concept of averages be applied in problem-solving during the UPSC exams? | |
Ans. Averages can be applied in various problem-solving scenarios during UPSC exams, such as in data interpretation, statistics, and quantitative aptitude sections. For instance, candidates may encounter questions that require them to find the average of given numbers, analyze trends in data, or compare averages of different groups. Understanding how to manipulate and interpret averages can significantly enhance analytical skills needed for the exam.
| 3. What are some common mistakes to avoid when solving average-related problems in exams? | |
Ans. Common mistakes include miscalculating the sum of values, forgetting to adjust for the number of values when calculating the mean, and confusing the median with the mean. Additionally, assuming that the average represents the most common value can lead to errors. Candidates should ensure careful reading of questions and double-check their calculations to avoid such pitfalls.
| 4. How does the understanding of averages contribute to effective time management in the UPSC exam? | |
Ans. A solid understanding of averages allows candidates to quickly assess and solve problems, thus saving time during the exam. Problems related to averages often have straightforward solutions or shortcuts. Efficiently calculating averages can help candidates manage their time better by allowing them to focus on more complex questions without getting bogged down in simpler calculations.
| 5. What strategies can be employed to improve proficiency in solving average-related questions for the UPSC exams? | |
Ans. To improve proficiency, candidates can practice a variety of problems related to averages from past UPSC papers and other competitive exams. Engaging in timed practice sessions can help simulate exam conditions. Additionally, studying concepts in depth, including the impact of outliers on averages and the differences between various types of averages, can enhance understanding and retention. Regular revision and self-assessment through mock tests are also effective strategies.
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Sep 27, 2025
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