Averages Problems

1. In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the run rate in the remaining 40 overs to reach the target of 282 runs?
A. 6.25
B. 5.5
C. 7.4
D. 5

2. A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?
A. 4800
B. 4991
C. 5004
D. 5000

3. The average of 20 numbers is zero. Of them, How many of them may be greater than zero, at the most?
A. 1
B. 20
C. 0
D. 19

4. The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. Find out the average age of the team.
A. 23 years
B. 20 years
C. 24 years
D. 21 years

5. The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A?
A. 2000
B. 3000
C. 4000
D. 5000

6. A car owner buys diesel at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of diesel if he spends Rs. 4000 each year?
A. Rs. 8
B. Rs. 7.98
C. Rs. 6.2
D. Rs. 8.1

7. In Kiran's opinion, his weight is greater than 65 kg but less than 72 kg. His brother does not agree with Kiran and he thinks that Kiran's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Kiran?
A. 70 kg
B. 69 kg
C. 61 kg
D. 67 kg

8. The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
A. 48.55
B. 42.25
C. 50
D. 51.25

9. A library has an average of 510 visitors on Sundays and 240 on other days. What is the average number of visitors per day in a month of 30 days beginning with a Sunday?
A. 290
B. 304
C. 285
D. 270

10. A student's mark was wrongly entered as 83 instead of 63. Due to that the average marks for the class got increased by 12. What is the number of students in the class?
A. 45
B. 40
C. 35
D. 30

11. A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. The average age of the family is
A. 3227 years
B. 3157 years
C. 2817 years
D. 3057 years

12. The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, what is the weight of B?
A. 31 kg
B. 2812 kg
C. 32 kg
D. 3012 kg

13. If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55, 60, what is the average marks of all the students?
A. 53.23
B. 54.68
C. 51.33
D. 50

14. The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. What is the present age of the husband?
A. 40
B. 32
C. 28
D. 30

15. The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What is the weight of the new person?
A. 75 Kg
B. 50 Kg
C. 85 Kg
D. 80 Kg

16. There are two divisions A and B of a class, consisting of 36 and 44 students respectively. If the average weight of divisions A is 40 kg and that of division b is 35 kg. What is the average weight of the whole class?
A. 38.25
B. 37.25
C. 38.5
D. 37

17. A batsman makes a score of 87 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?
A. 39
B. 35
C. 42
D. 40.5

18. A student needed to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What is the value of x?
A. 12
B. 5
C. 7
D. 9

19. Arun obtained 76, 65, 82, 67 and 85 marks (out in 100) in English, Mathematics, Chemistry, Biology and Physics. What is his average mark?
A. 53
B. 54
C. 72
D. 75

20. Distance between two stations A and B is 778 km. A train covers the journey from A to B at 84 km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of the train during the whole journey?
A. 69.0 km /hr
B. 69.2 km /hr
C. 67.2 km /hr
D. 67.0 km /hr

21. The average age of boys in a class is 16 years and that of the girls is 15 years. What is the average age for the whole class?
A. 15
B. 16
C. 15.5
D. Insufficient Data

22. The average age of 36 students in a group is 14 years. When teacher's age is included to it, the average increases by one. Find out the teacher's age in years?
A. 51 years
B. 49 years
C. 53 years
D. 50 years

23. The average of five numbers id 27. If one number is excluded, the average becomes 25. What is the excluded number?
A. 30
B. 40
C. 32.5
D. 35

24. The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. Find out the highest score of the player.
A. 150
B. 174
C. 180
D. 166

25. The average score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 42, what is the average for the last four matches?
A. 34.25
B. 36.4
C. 40.2
D. 32.25

26. The average of six numbers is x and the average of three of these is y. If the average of the remaining three is z, then
A. None of these
B. x = y + z
C. 2x = y + z
D. x = 2y + 2z

27. Suresh drives his car to a place 150 km away at an average speed of 50 km/hr and returns at 30 km/hr. What is his average speed for the whole journey ?
A. 32.5 km/hr.
B. 35 km/hr.
C. 37.5 km/hr
D. 40 km/hr

28. The average age of a husband and his wife was 23 years at the time of their marriage. After five years they have a one year old child. What is the average age of the family ?
A. 21 years
B. 20 years
C. 18 years
D. 19 years

29. In an examination, a student's average marks were 63. If he had obtained 20 more marks for his Geography and 2 more marks for his history, his average would have been 65. How many subjects were there in the examination?
A. 12
B. 11
C. 13
D. 14

30. The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.12000 and the average salary of the rest is Rs.6000. How many workers are there in the workshop ?
A. 21
B. 22
C. 23
D. 24

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