UPSC CSE Prelims CSAT (Paper II) previous year questions on Averages (Quantitative Ability), asked from 2011–2026, with answers. There are 22 questions in this post. Attempt each question, then click Show Answer to check.
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1] The class average x in a test increases by 4 when the score of a student is rectified, whose corrected score is 100 instead of 0. Later, the score of another student was found to have been recorded as 81 in place of 56. If there are no other corrections and the final corrected average is y, then y – x is [2026/25]
(a) 2
(b) 3
(c) 5
(d) 6
Show Answer
Ans: (b) 3
2] The average of three numbers p, q and r is k. p is as much more than the average as q is less than the average. What is the value of r? [2025/78]
(a) k
(b) k − 1
(c) k + 1
(d) k/2
Show Answer
Ans: (a) k
3] Consider the following:
Weight of 6 boys = Weight of 7 girls = Weight of 3 men = Weight of 4 women
If the average weight of the women is 63 kg, then what is the average weight of the boys? [2024/36]
(a) 40 kg
(b) 42 kg
(c) 45 kg
(d) 63 kg
Show Answer
Ans: (b) 42 kg
4] In an examination, the maximum marks for each of the four papers namely P, Q, R and S are 100. Marks scored by the students are in integers. A student can score 99% in n different ways. What is the value of n? [2023/65]
(a) 16
(b) 17
(c) 23
(d) 35
Show Answer
Ans: (d) 35
5] There are large number of silver coins weighing 2 gm, 5 gm, 10 gm, 25 gm, 50 gm each. Consider the following statements:
1. To buy 78 gm of coins one must buy at least 7 coins.
2. To weigh 78 gm using these coins one can use less than 7 coins.
Which of the following statements given above is/are correct? [2023/69]
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2
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Ans: (c) Both 1 and 2
6] On one side of a 1•01 km long road, 101 plants are planted at equal distance from each other. What is the total distance between 5 consecutive plants? [2022/26]
(a) 40 m
(b) 40.4 m
(c) 50 m
(d) 50.5 m
Show Answer
Ans: (b) 40.4 m
7] 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? [2022/80]
(a) 40.5 Kg
(b) 40.80 Kg
(c) 41 Kg
(d) Can not be determined as data is inadequate.
Show Answer
Ans: (c) 41 Kg
8] There are two Classes A and B having 25 and 30 students respectively. In Class-A the highest score is 21 and lowest score is 17. In Class-B the highest score is 30 and lowest score is 22. Four students are shifted from Class-A to Class-B.
Consider the following statements:
1. The average score of Class-B will definitely decrease.
2. The average score of Class-A will definitely increase.
Which of the above statements is/are correct? [2021/37]
(a) 1 only
(b) 2 only
(c) Both 1 and 2
(d) Neither 1 nor 2
Show Answer
Ans: (a) 1 only
9] Consider the following addition problem: 3P + 4P + PP + PP = RQ2; where P, Q and R are different digits. What is the arithmetic mean of all such possible sums? [2021/59]
(a) 102
(b) 120
(c) 202
(d) 220
Show Answer
Ans: (c) 202
10] Consider the following data.
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What is the value of x in the able table? [2020/18]
(a) 7.8
(b) 7.6
(c) 7.4
(d) 7.2
Show Answer
Ans: (a) 7.8
11] The average age of a teacher and three students is 20 years. If all the three students are of same age and the difference between the age of the teacher and each student is 20 years, then what is the age of the teacher? [2020/39]
(a) 25 years
(b) 30 years
(c) 35 years
(d) 45 years
Show Answer
Ans: (c) 35 years
12] In a class, there are three groups A, B and C. If one student from group A and two students from group B are shifted to group C, then what happens to the average weight of the students of the class? [2020/59]
(a) It increases.
(b) It decreases.
(c) It remains the same.
(d) No conclusion can be drawn due to insufficient data.
Show Answer
Ans: (c) It remains the same.
13] The average score of a batsman after his 50th innings was 46.4. After 60th innings, his average Score increases by 2.6. What was his average score in the last ten innings? [2020/69]
(a) 122
(b) 91
(c) 62
(d) 49
Show Answer
Ans: (c) 62
14] The average marks of 100 students are given to be 40. It was found later that marks of one student were 53 which were misread as 83. The corrected mean marks are [2019/40]
(a) 39
(b) 39.7
(c) 40
(d) 40.3
Show Answer
Ans: (b) 39.7
15] A family has two children along with their parents. The average of the weights of the children and their mother is 50 kg. The average of the weights of the children and their father is 52 kg. If the weight of the father is 60 kg, then what is the weight of the mother? [2019/55]
(a) 48 kg
(b) 50 kg
(c) 52 kg
(d) 54 kg
Show Answer
Ans: (d) 54 kg
16] Suppose the average weight of 9 persons is 50 kg. The average weight of the first 5 persons is 45 kg, whereas the average weight of the last 5 persons is 55 kg. Then the weight of the 5th person will be [2017/28]
(a) 45 kg
(b) 47.5 kg
(c) 50kg
(d) 52.5 Kg
Show Answer
Ans: (c) 50kg
17] There are thirteen 2-digit consecutive odd numbers. If 39 is the mean of the first five such numbers, then what is the mean of all the thirteen numbers? [2017/35]
(a) 47
(b) 49
(c) 51
(d) 45
Show Answer
Ans: (a) 47
18] If for a sample data
Mean < Median < Mode
then the distribution is [2017/52]
(a) symmetric
(b) skewed to the right
(c) neither symmetric nor skewed
(d) skewed to the left
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Ans: (d) skewed to the left
19] The average monthly income of a person in a certain family of 5 is Rs. 10,000. What will be the average monthly income of a person in the same family if the income of one person increased by Rs. 1,20,000 per year? [2016/77]
(a) Rs. 12,000
(b) Rs. 16,000
(c) Rs. 20,000
(d) Rs. 34,000
Show Answer
Ans: (a) Rs. 12,000
20] The following table shows the marks obtained by two students in different subjects: [2014/38]
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| English | 60 | 100 | 80 | 150 |
| Psychology | 70 | 100 | 70 | 100 |
| History | 50 | 100 | 60 | 100 |
| Sanskrit | 30 | 50 | 15 | 25 |
The different in the mean aggregate percentage marks of the students is
(a) 2.5%
(b) 13.75%
(c) 1.25%
(d) Zero
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Ans: (d) Zero
21] Four cars are hired at the rate of Rs.6 per km plus the cost of diesel at Rs. 40 a litre. In this context, consider the details given in the following table: [2013/49]
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Which car maintained the maximum average speed?
(a) Car A
(b) Car B
(c) Car C
(d) Car D
Show Answer
Ans: (a) Car A
22] A student on her first 3 tests receives on an average score of N points. If she exceeds her previous average score by 20 points on her fourth test, then what is the average score for the first 4 tests? [2011/49]
(a) N + 20
(b) N + 10
(c) N + 4
(d) N + 5
Show Answer
Ans: (d) N + 5
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