Average – Set 7

1) The average weight of three boys A,B and C is 163/3 kg, while the average weight of three boys B, D and E is 53 kg. What is the average weight of A,B,C,D and D?

2) 3 Years ago the average of a family of 5 members was 17years. A baby having been born, the average age of the family is the same today. The present age of the baby is?

3) 19 people went to a hotel for combine dinner party 13 of them spent Rs.79 each on their dinner and rest spent 4 more than thr average expenditure of all the 19. What was the total money spent by them?

4) In a set of three numbers, the average of first two numbers is 2, the average of the last two numbers is 3, and the average of the first and the last numbers is 4. What is the average of three numbers ?

5) A man started his journey from Kathmandu to pokhara,which is 200km, at the speed of 40km/h then he went to parwat which is 300km, at the speed of 20km/h. Further he went to Kanchanpur which is 500km, at the speed of 20km/h. The average speed of the man is?

6) The average of runs of a cricket player of 10 innings was 32. How many runes must be made in his next innings so as to increase his average of runs by 4?

7) The average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65kg. What might be the weight of the new person ?

8) When a student weighing 45 kgs left a class, the average weight of the remaining 59 students increased by 200g. What is the average weight of the remaining 59 students ?

9) There are five boxes in cargo hold. The weight of the firsr box is 200 kg and the weight of the second box is 20% higher than the weight of the third box, whose weight is 25% higher than the first box’s weight. The fourth box at 350 kg is 30% lighter than fifth box. Find the difference in the average weight of the four heaviest boxes and the four lightest boxes?

10) The average of 50 numbers is 30. If two numbers, 35 and 40 are discarded, then the average of the remaining numbers is nearly ?

11) A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3. Find his average after 17th inning ?

12) The average of 20 numbers is zero. Of them,at the most, how many may be greater than zero?

13) A has 50 coins of 10 paisa denominations. While B has 10 coins of 50 paisa denominations. C has 20 coins of 25 paisa denominations while D has 25 coins of 20 paisa denomations. The average number of paisa per person is?

14) The average weight of 47 balls is 4 g. If we weight of the bag(in which the balls are kept) be included; the calculated average weight per ball increase by 0.3g. What is the weight of the bag?

15) Of the three numbers, the first is twice the second and the second is twice the third. The average of the reciprocal of the numbers is 7/72. The numbers are?

16) The average income of A,B and C is Rs.12,000 per month and average income of B,C and D is Rs. 15,000 Per month. If the average salary of D be twice that of A, then the average salary of B and C is in Rs.?

17) Which one of the following numbers can be removed from the set S={0,2,4,5,9}without  changing the average of set S?

18) Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of 7 apples and 8 mangoes is Rs.48. Find the total cost of 24 apples and 24 mangoes?

19) A cricketer scored some runs in his 21st innings,as a result, his average runs increased by 3. If the present average run is 40, how many runs he scored in the final innings?

20) Average of ten positive numbers is x. If each number is increased by 10%, then X?

21) A passenger travels from Kathmandu to Janakpur at a speed of 30km/h and return with a speed of 60km/h. What is the average speed?

22) In the first 10 overs of a cricket game, the run rate was only3.2. Ehat should be the run rate in the remaining 40 overs to reach the target of 282 runs?

23) The average of runs of a cricket player of 10 innings was 32. How many runes must be made in his next innings so as to increase his average of runs by 4?

24) There were 35 students ina hostel. Due to admission of 7 new students the expenses of the mess were increased by Rs.42 per day while the average expenditure per head diminished by Rs.1. What was the original expenditure of the mess?

25) One-fourth of certain journey is covered at the rate of 25km/h,one-third at the rate of 30km/h and the average speed for the whole journey ?

26) The difference between two angles of a triangle is 25°. The average of the same two angles is 54°. Which one of the following is the value of the greatest angle of the triangle ?

27) The average of 20 students is 12years, if the teacher’s age is included, average increases by one. The age of the teacher is?

28) Distamce between two stations A and B is 778km. A train covers the journey from A to B at 84km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of train during the whole journey ?

29) The average of 50 numbers is 30. If two numbers, 35 and 40 are discarded, then the average of the remaining numbers is nearly ?

30) The average score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 42, then find the average for the last four matches ?

31) The average price of 10 books is Rs.12 while the average price of 8 of these books is Rs.11.75. Of the remaining two books,if the price of one book is 60% more than the price of the other, what is the price of each of these two books?

32) The average salary of all the workers in a workshop is Rs.8,000. The average salary of 7 technicians is Rs.12,000 and the average salary of the rest is Rs.6,000. The total number of workers in the workshop is?

33) The average score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 42, then find the average for the last four matches ?

34) The average wages of a worker during of fortnight comprising 15 consecutive working days was Rs.90 Per day. During the first 7 days, his average wages was Rs.87/day and the average wages during the last 7days was Rs.92/day. What was his wage on the 8th day?

35) The average of first five multiple of 3 is?

36) The average monthly income of P and Q is Rs.5050. The average monthly income of Q and R is Rs.6250 and the average monthly income of P and R is Rs.5200. The monthly income of P is?

37) There are two sections A and B of a class, consisting of 36 and 44 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class?

38) David obtained 76,65,82,67 and 85 marks (out of 100) in English,Mathmatics,physics,chemistry and biology. What are his average marks?

39) The mean weight of 100 students in a class is 46 kg. The mean weight of boys is 50 and of girls is 40 kg. Therefore, the number of boys is?

40) 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?

41) There are two sections A and B of a class, consisting of 36 and 44 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, find the average weight of the whole class?

42) Distance between two stations A and B is 778km. A train covers the journey from A and B at 84km per hour and returns back to A with a uniform speed of 56km per hour. Find the average speed of train during the whole journey ?

43) Nine persons went to a hostel for taking their meals. Eight of them spent Rs.12 each on their meals and the ninth spent Rs.8 more than the average expenditure of all the nine. What was the total money spent by them?

44) The average monthly salary of 12 workers and 3 managers in a factory was Rs.6000. When one of the manager whose salary was Rs.720,was replaced with a new manager, then the average salary of the team went down to 580. What is the salary of the new manager?

45) A school has only four classes that contain 10,20,30 and 40 students respectively. The pass percentage of these classes are 20%,30%,60%, and 100% respectively. Find the pass % of the entire school?

46) The average price of 10 books is Rs.12 while the average price of 8 of these books is Rs.11.75. Of the remaining two books, if the price of one book 60% more than the price of the other, what is the price of each of these two books?

47) The average age of husband, wife and their child 3 years ago 27 years and that of wife and the child 5 years ago was 20 years. The present age of the husband is?

48) The average age of a family of 5 members is 20 years. If the age of youngest member be 10 years then what the average age of the birth of the youngest member ?

49) The average age of A,B,C,D and Eis 40 years. The average age of A and B is 35 years and the average of C and D is 42 years. Age of E is?

50) The average of five different positive numbers is 25.  X is the decrease in the average when the smallest number among them is replaced by 0. What can be said about X?