AVERAGE

1. The average of the seven consecutive natural numbers is 22. What is the product of the
smallest and the highest number?
(a) 490 (b) 480 (c) 475 (d) 450
2. What is the difference between the average of first 148 even positive numbers and the
average of first 129 odd positive numbers?
(a) 21 (b) 20 (c) 23 (d) 19
3.Find the average of first 7 even numbers which are divisible by 11
A) 77 B) 55 C) 66 D) 88
4. The average of four consecutive odd numbers A, B, C and D respectively is 24. What is the
sum of B and D?
(a) 55 (b) 60 (c) 40 (d) 50
5.The average of 32 numbers is 24. If each number is increased by 6, then what will be the
new average?
(a) 30 (b) 40 (c) 25 (d) 35
6.The average of 28 numbers is 25. If each number is multiplied by 3, then what will be the
new average?
(a) 90 (b) 75 (c) 70 (d) 50
7.Sum of 5 consecutive integer is 120, then find the sum of next 5 consecutive integers.
A) 140 B) 125 C) 145 D) 120
8.Sum of 9 consecutive even numbers is 360. Then find the sum of next 9 consecutive even
numbers
A) 532 B) 522 C) 632 D) 622
9.The average of the first 7 integers in a series of 13 consecutive odd integers is 37. What is
the average of the entire series?
a. 37 b. 39 c. 41 d. 43
10. The average age of a class of 40 students is 15 years. When the age of the teacher is
also included, the average will be increased by 1 year. What is the age of the teacher?
(a) 54 (b) 55 (c) 56 (d) 57
11. The average weight of 15 girls was recorded as 54kg. If the weight of the teacher was
added, the average increased by two kg. What was the teacher’s weight?
(a) 90 (b) 80 (c) 86 (d) 70
12. Ram has an average score of 65 runs in 19 innings in cricket matches. Find out how many
runs are to be scored by him in the 20th innings to raise the average score to 67.

(a) 135 (b) 105 (c) 115 (d) 195

13.The average of five numbers is 27. If one number is excluded, the average becomes 25.
The excluded number is
A) 25 B) 27 C) 30 D) 35
14.The average of five numbers is 30. If one number is excluded, the average becomes 31.
What is the excluded number?

A 24 B 26 C 31 D 30

15. The average score of a cricketer for 20 matches is 52 runs. His highest score is more than
its lowest score by 120 runs. If these two innings are excluded, the average of the remaining
18 matches is 50 runs. The highest score of the player is:
A. 130 B.125 C.120 D.140
16. Two years ago the average age of a family of 8 members was 18 years. On the addition
of a child the present average age is still the same. What is the present age of the child?
(a) 02 years (b) 06 years (c) 04 years (d) None of these
17. The average of eleven results is 30. If the average of the first five results is 25 and that of
the last five is 28, then what is the value of the sixth result?
(a) 70 (b) 60 (c) 65 (d) None of these
18. The average of nine numbers is 18. The average of the first five is 21 and that of the last
five is 20. Find the fifth number.
(a) 43 (b) 45 (c) 40 (d) None of these

19. The average temperature of Monday, Tuesday and Wednesday was 41° C and that of
Tuesday, Wednesday and Thursday was 42° C. If the temperature on Thursday was 43° C,
then the temperature(in ° C) on Monday was :...

A) 42 B) 40 C) 43 D) 41

20. The average weight of 15 men has increased by 1kg when one of them whose weight is
60kg is replaced by a new man. What is the weight of the new man (in kg)?
(a) 76 (b) 80 (c) 78 (d) 75

21. The mean of 20 items is 47. Later it is found that the item 62 is wrongly written as 26.
Find the correct mean.
a) 48.8 b) 47.7 c) 49.9 d) 49.6
22. A teacher conducted a science test of 25 students out of which 10 students scored 80
and the rest scored 60. What is the weighted average score of the entire class?
a) 65 b) 61 c) 67 d) 68
23. The average score of a cricketer in 18 matches was 55.5. If he made 111 runs and 125
runs in 19th and 20th match respectively. What is his new average score in all the twenty
matches?
a) 61.25 b) 61.50 c) 61.75 d) 62
24. A bowlers bowling average was 12.4 runs per wicket. He improves his bowling average
by 0.2 runs per wicket when he takes 5 wickets for 26 runs in his last match. The total
number of wickets taken by him before the last match was?
a) 170 b) 175 c) 190 d) 180
25. Seven friends spent Rs.14 each on a project and the eighth friend spent Rs.21 more than
the average expenditure of all eight of them. What is the amount of total money (in Rs.)
spent by them ?
1) 133 2) 136 3) 141 4) 155

PRACTICE EXERCISE

1. 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?'
(a) N + 20 (b) N + 10 (c) N + 4 (d) N + 5 (CSAT 2011)
2. Consider the following information regarding the performance of class of 1000 students
in four different tests:

If a student scores 74 marks in each of the four tests, in which one of the following tests is
her performance the best comparatively?
a) Test I b) Test II c) Test III d) Test IV (CSAT 2012)

3. 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
(a) 75% (b) 80% (c) 85% (d) 90% (CSAT 2016)

4. 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 ?
(a) 6 months (b) 1 year (c) 2 years (d) 2 years and 6 months (CSAT 2016)

5. 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?
(a) Rs. 12,000 (b) Rs. 16,000 (c) Rs. 20,000 (d) Rs. 34,000 (CSAT 2016)
6. 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?
(a) 0.60 inch (b) 0.70 inch (c) 0.80 inch (d) 0.90 inch (CSAT 2017)

7. 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
(a) 45 kg b) 47.5 kg (c) 50 kg (d) 52.5 Kg (CSAT 2017)

8. 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?
(a) 47 (b) 49 (c) 51 (d) 45 (CSAT 2017)

9. 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
(a) 39 (b) 39.7 (c) 40 (d) 40.3 (CSAT 2019)

10. Sunita cuts a sheet of paper into three pieces. Length of first piece is equal to the
average of the three single digit odd prime numbers. Length of the second piece is equal to
that of the first plus one-third the length of the third. The third piece is as long as the other
two pieces together. The length of the original sheet of paper is
(a) 13 units (b) 15 units (c) 16 units (d) 30 units (CSAT 2019)

11. 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 ?
(a) 48 kg (b) 50 kg (c) 52 kg (d) 54 kg (CSAT 2019)

12. Consider the following data:

Average marks in English Average marks in Hindi
Girls 9 8
Boys 8 7
Overall average marks 8.8 X

What is the value of x in the above table?

(a) 7.8 (b) 7.6 (c) 7.4 (d) 7.2 (CSAT 2020)
13. 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?
(a) 25 years (b) 30 years (c) 35 years (d) 45 years (CSAT 2020)
14. 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?
(a) It increases. (b) It decreases. (c) It remains the same.
(d) No conclusion can be drawn due to insufficient data (CSAT 2020)

15. 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?
(a) 122 (b) 91 (c) 62 (d) 49 (CSAT 2020)
16. 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 ?
(a) l only (b) 2 only
(c) Both 1 and 2 (d) Neither 1 nor 2 (CSAT 2021)
17. A student appeared in 6 papers. The maximum marks are the same for each paper.
His marks in these Papers are in the proportion of 5 : 6 : 7 : 8 : 9 : 10. Overall he scored 6O%.
In how many number of papers did he score less than 60% of the maximum marks?

(a) 2 (b) 3 (c) 4 (d) 5 (CSAT 2021)

18) 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?
a) 40-5 kg b) 40-8 kg c) 41 kg
d) Cannot be determined as data is inadequate (CSAT 2022)
19. What is the middle terms of the sequence Z, Z, Y, Y, Y, X, X, X, X, W, W, W, W, W,
…….,A?
(a) H (b) I (c) J (d) M (CSAT 2023)
20. For five children with ages a < b < c < d < e; any two successive ages differs by 2 years.
Question: What is the age of the youngest child? (CSAT 2023)
Statement-1: The age of the eldest is 3 times the youngest.
Statement-2: The average age of the children is 8 years
Which one of the following is correct in respect of the above Question and the Statements?
(a) The Question can be answered by using one of the Statement alone.
(b) The Question can be answered by using either Statement alone.
(c) The Question can be answered by using both the Statement together, but cannot be
answered using either Statement alone.
(d) The Question cannot be answered even by using both the Statements together.