Average – Set 6

1) The average of 4 positive integers is 59. The highest integer is 83 and the lowest integer is 29. The difference between the remainning two integers is 28. Which of the following integers is higher of the remaining two integers?

2) The average age of a husband and his wife was 23 years at the times of their marriage. After five years they have a one-years old child. The average age of the family now is?

3) Avrage score of a class of 60 students, in an exam, was 43. Average score of the students who had passed is 52 and the average score of students who had failed is 16. How many failed the exam?

4) The average height of 25 boys is 1.4 m. When 5 boys leave the group, then the average height increased by 0.15m. What is the average height of the 5 boys who leave?

5) A pupil’s marks were wrongly entered as 83 instead of 63. Due to that average marks for the class got increased by half 1/2. The class number of pupils in the class is?

6) Out of 10 teachers of a school, on teacher retires amd in place of him a new teacher 25 years old joins. As a result of it average age of the teacher reduces by 3 years. Age of the retired teacher(in years) is?

7) The average marks obtained by 22 candidates in an examination are 45. The average marks of the first ten are 55 and that of the last eleven are 40. The number of marks obtained by the 11th candidates is?

8) 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. The total number of workers in the workshop is?

9) The mean monthly salary paid to 75 workers in a factory is Rs.5680. The mean salary of 25 of them is Rs.5400 and that of 30 others is Rs.5700. The meam salary of the remaining workers is?

10) The average age of a husband and wife at the time of their marriage was 25 years. A son was born to them two years after their marriage. The present average age of all three of them is 24 years. How many years is it since the couple got married?

11) The average of 12 numbers is 15 and the average of the first two is 14. What is the average of the rest?

12) If the average of m numbers is n2 and that n numbers is m2, then the average of (m+n) numbers is?

13) The average weight of a group of 75 girls was calculated as 47 kgs. It was later discovered that the weight of one of the girls was read as 45 kgs. Whereas her actual weight was 25 kgs. What is the actual average weight of the group of 75 girls? ( Rounded off to two digits after decimal).

14) In a primary school the average weight of male students is 65.9 kg and the average weight of female students is 57 kg. If the average weight of all the students ( both male and female ) is 60.3 kg and the number of male students in the school is 66, what is the number of female students in the school?

15) There are 3 groups of students, each containing 25, 50 and 25 students respectively. The mean marks obtained by the first two groups are 60 and 55. The combined mean of all the three groups is 58. What is the mean of the marks scored by the third group?

16) A car owner buys petrol 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 petrol if he spends Rs.4000 each years?

17) The average weight of A,B and C is 45kg. If the average weight of A and B be 40kg and that of B and C 43kg, then the weight of B is?

18) The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his innings so as to increase his average of runs by 4?

19) The average of 10 numbers is 40.2. Later it is found that two numbers have been wrongly added. The first is greater than the actual number and the second number added is 13 instead of 33. Find the correct average ?

20) The body weight of seven students of a class is recorded as 54kg,78kg,43kg,82kg,67kg,43kg and 75kg. What is the average body weight of call the seven students ?

21) The average age of a group of persons going for picnic is 16 years. Twenty new persons with an average age of 15 years join the group on the spot due to which their average age become 15.5 years. The number of persons initially going for picnic is?

22) Out of 9 persons spent Rs.30 each for their meals. The ninth one spent Rs.20 more than the average expenditure of all the nine. The total money spent by all of them was?

23) Of the three numbers, the average of the first and the second is greater than the second and the third by 15. What is the difference between the first and the third of the three numbers ?

24) Visitor to a show were charged Rs.15 each on the first day, Rs.7.50 each on the second day and Rs.2.50 each on the third day. The attendance on the three days was in the ratio 2:5:13. The average charge per person for the whole show was?

25) The captain of a cricket team of 11numbers 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 average of the whole team. What is the average age of the team?

26) There were 24 students in a class. One of them, who was 18 years old, left the class and his place was filled up by a newcomer. If the average of the class thereby, was lowered by one month, the age of the newcomer is?

27) The average weight of 16 boys in class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the boys in the class?

28) A certian factory employed 600 men and 400 women and the average wage was Rs.25.50 per day. If women got Rs.5 less than a man, then what are their daily wages?

29) Of the three numbers, the frist 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?

30) A person purchase 1kg of tomatoes from each of the 4 places at the rate of 1kg,2kg,3kg,4kg per rupee respectively. On an average, he has purchased X kg of tomatoes per rupee. Then the value of X is?

31) The mean of 5 numbers is 18. If one number is excluded, their mean is 16. Find the excluded number ?

32) The average age of seven boys sitting in a row facing  is 26 years. If the average age of the first three boys is 19 years and the average age of the last three boys is 32 years, what is the age of the boy who is sitting in the middle of the row?

33) Average age of ten persons learing yoga is 32 years. When the age of their instructor is added, the average age becames 34 years. The age of their instructor is?

34) A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is?

35) If the average marks of three batches of 55, 60 and 45 students respectively is 50,55,60,then the average marks of all the students is?

36) The average weight of boys in a class is 30kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25kg, what could be the possible strength of boys and girls respectively in the same class?

37) Find the average of the following sets of scores: 385, 441, 876, 221, 536, 46, 291, 428?

38) The marks of six boys in a group are 48,59,87,37,78 and 57. What are the average marks of all six boys?

39) A company produces on an average 4000 items per must for the first 3 months. How many items it must produce on an average per months, to average 4375 items per month over the whole?

40) Six numbers are arranged in decreasing order. The average of the first five numbers is 30 and the average of the last five numbers is 25. The difference of the first and the last numbers is?

41) A motorist travels to a plcae 150 km away at an average speed of 50km/hr. His average speed for the whole journey in km/hr is?

42) The monthly incomes of five persons are Rs. 1132,Rs.1140,Rs.1144,Rs1136 and Rs1148 respectively. What id their arithmetic mean?

43) The average monthly income of a family of four earning members was Rs.15130. One of the daughter’s in the family got married and left home, so the average monthly income of the family came down to Rs.14660. What is the monthly income of the married daughter ?

44) There were 35 students in a hostel. If the number of the students is increased by 7,then the expenses of the mess increased by Rs.42 per day, while the average expenditure per head diminishes by Rs.1. The original expenditure of the mess per day was?

45) The arithmetic mean of 15 numbers is 41.4. Then the sum of these numbers is?

46) There are three positive numbers. One third of the average of all the three numbers is 8 less than the lowest and the second lowest number is 8. What is the highest number?

47) A student obtained the following marks in percentage in his semester examination English 50,Maths 65, Statistics 70, Economics 58 and Accountancy 63. The weights of these subjects are 2,2,1,1 and 1 respectively. What is the weighted arithmetic mean?

48) Kunal bought 65books for Rs.1050 from one shop and 50 books for Rs.1020 from another. What is the average price he paid per book ?

49) The average weight of A,B and C is 45kg. If the average weight of A and B be 40 kg and that of B and C be 43kg, then the weight of B is?