Averages

2011 · Q49

A student on her first 3 tests received 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?

1. (a)N + 20
2. (b)N + 10
3. (c)N + 4
4. (d)N + 5UPSC key

2016 · Q33

The monthly average salary paid to all the employees of a company was Rs. 5000. The monthly average salary paid to male and female employees was Rs. 5200 and Rs. 4200 respectively. Then the percentage of males employed in the company is:

1. (a)75%
2. (b)80%UPSC key
3. (c)85%
4. (d)90%

2016 · Q51

The sum of the ages of 5 members comprising a family, 3 years ago was 80 years. The average age of the family today is the same as it was 3 years ago, because of an addition of a baby during the intervening period. How old is the baby?

1. (a)6 months
2. (b)1 yearUPSC key
3. (c)2 years
4. (d)2 years and 6 months

2016 · Q77

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?

1. (a)Rs. 12,000UPSC key
2. (b)Rs. 16,000
3. (c)Rs. 20,000
4. (d)Rs. 34,000

2017 · Q28

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

1. (a)45 kg
2. (b)47·5 kg
3. (c)50 kgUPSC key
4. (d)52·5 kg

2017 · Q35

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?

1. (a)47UPSC key
2. (b)49
3. (c)51
4. (d)45

2017 · Q52

If for a sample data

Mean < Median < Mode

then the distribution is

1. (a)symmetric
2. (b)skewed to the right
3. (c)neither symmetric nor skewed
4. (d)skewed to the leftUPSC key

2017 · Q68

The average rainfall in a city for the first four days was recorded to be 0·40 inch. The rainfall on the last two days was in the ratio of 4: 3. The average of six days was 0·50 inch. What was the rainfall on the fifth day?

1. (a)0·60 inch
2. (b)0·70 inch
3. (c)0·80 inchUPSC key
4. (d)0·90 inch

2019 · Q40

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

1. (a)39
2. (b)39·7UPSC key
3. (c)40
4. (d)40·3

2019 · Q55

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?

1. (a)48 kg
2. (b)50 kg
3. (c)52 kg
4. (d)54 kgUPSC key

2020 · Q18

Consider the following data:

What is the value of x in the above table?

1. (a)7·8UPSC key
2. (b)7·6
3. (c)7·4
4. (d)7·2

2020 · Q39

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?

1. (a)25 years
2. (b)30 years
3. (c)35 yearsUPSC key
4. (d)45 years

2020 · Q59

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?

1. (a)It increases.
2. (b)It decreases.
3. (c)It remains the same.UPSC key
4. (d)No conclusion can be drawn due to insufficient data.

2020 · Q69

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?

1. (a)122
2. (b)91
3. (c)62UPSC key
4. (d)49

2021 · Q37

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?

1. (a)1 onlyUPSC key
2. (b)2 only
3. (c)Both 1 and 2
4. (d)Neither 1 nor 2

2022 · Q80

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?

1. (a)40·5 kg
2. (b)40·8 kg
3. (c)41 kgUPSC key
4. (d)Cannot be determined as data is inadequate

2024 · Q36

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?

1. (a)40 kg
2. (b)42 kgUPSC key
3. (c)45 kg
4. (d)63 kg

2025 · Q77

Consider a set of 11 numbers:

Value-I = Minimum value of the average of the numbers of the set when they are consecutive integers ≥ −5.

Value-II = Minimum value of the product of the numbers of the set when they are consecutive non-negative integers.

Which one of the following is correct?

1. (a)Value-I < Value-II
2. (b)Value-II < Value-I
3. (c)Value-I = Value-IIUPSC key
4. (d)Cannot be determined due to insufficient data

2025 · Q78

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?

1. (a)kUPSC key
2. (b)k − 1
3. (c)k + 1
4. (d)k/2

2026 · Q25

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

1. (a)2
2. (b)3UPSC key
3. (c)5
4. (d)6