COMPACT (AVERAGE)

1) Find Average of 84, 97, 53, 59, 79.               74.4

2)  If the average score of 42 boys of a school is 137. While the average score of 98 girls is 124 of the same class. Find the combined average of the class. 127.9

3) If the average score of 39, 91 and 52 students are if the number of students are 79, 56,70 respectively . Find the combined average.               64.93

4) If the average score of 27, 37 and 45 number of students are 83, 76, 85 respectively . Find the combined average.               81.5

5) The average marks of the class X, Y, Z is calculated. The average score of class X, Y, Z are 83, 76, 85. The average score of class X and Y is 79 while the average score of Y and Z is 81. Find the average score of all the three classes.      81.5

6) The average of 9 observations is 87. If the average of first 5 observation is 79 and the average of next three is 92. Find the 9th observation.               112

7) The average of 7 data is 34 and the average of first three data is 28 and the average of next to data is 47. Find the average of last two data.               30

8) The average age of 30 students of a class is 14 years 4 month. Due to admission of 5 new students the average becomes 13 years 9 months, while the age of the younger one in new 5 student is 9 years 11 months. Find the average of remaining four students.    10.4

9) The average of 9 data is 79. The age of first two data is 75. If the average of next data is 87. If the 8th data is 5 more than 7th data and one more than the 9th data. Calculate the 9th observation.          68

10) Average of 8 numbers is 20. The average of first two numbers is 15.5 and the average of next three numbers is 64/3. If the 6th number is 4 and 7 less by the 7th and 8th number. Find the 8th number.                   25

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11) 9 girls and 1 boy go to a restaurant for lunch. If each girl spent ₹30 and boys spent ₹72000 more than the average of expenditure of all. Find the amount spent by the boy ?                      80030

12) 5 years ago the average age of husband and wife was 23 years. Today the average age of husband, wife and child is 20 years. How old is the child ?                   20

13) 3 years ago the average of family of 5 members was 17 years. A baby having been born the average age of the family is the same today. Find the age of the child?                   2

14) The average age of mother, father and son was 42 years at the time of the marriage of the son. After 1 year an Infant was born and after 6 years of marriage the average age of the family become 36 years. Find the age of the bride at the time of the marriage.      36

15) The average weight of A, B, C is 84kg. If D join the average weight becomes 80 Kg. If another person E is 3 kg heavier than D replaces A ,then the average weight of B, C, D, E becomes 79 kg. Find the weight of A.            75

16) The average temperature of Monday, Tuesday, Wednesday & Thursday is 31•C and the average temperature of Tuesday, Wednesday, Thursday and Friday is 29.5°C. If the average temperature of Monday 75/2% more than the average temperature of Friday. Find the temperature of Monday ?      22, 16

17) The average temperature from Monday to Wednesday is 37°C while the average temperature from Tuesday to Thursday is 34°C. The temperature of Thursday is 4/5 times that of Monday . Find the temperature of Thursday ?     36

18) There are 35 students in a hostel. If the number of students increased by 7, The expense of mess increased by ₹42 per day. While the average expenditure per head decreased by ₹1. Find the original expenditure of the mess.     420

19) There were 42 students in a hostel, due to admission of 13 new students , expense of the mess increased by ₹30 per day, While per day expenditure per student is reduced by ₹3. What was the original expenditure of the mess per day?                                   ₹630

20) There are three natural numbers. If average of any two number is added with the third number 24, 20, 18 will be obtained. Find all the natural numbers.    31, 9,5,17

21) There are 4 natural number. If average of any three numbers is added with the fourth number 29, 23, 21,& 17 will be obtained. Find all 4 natural numbers.             21,12,9,3

22) In an examination, the average of 40 students is 72. Afterwards it is found that the marks of three Students are mixed as 68,75 and 73 instead of 64, 62 and 84 respectively. Find the correct average.                          72.1

23) The average of 100 number is 46 but it was found that 2 numbers 16 and 43 are mistakenly calculated a 61 and 34. find his correct average if it was also found that total number are only 90.    50.7

24) The average weight of some students in a class is 43 kg. When 4 new students are included the average weight becomes 42.5 kg and the weight of these students are 42, 36.5, 39 & 42.5. Find the total number of students in the class.               20

25) The average of batsmen in some innings is 21.75 and scores in next three things 28, 34 and 37 runs respectively. Therefore average increased by 1.125. Find the number of innings played by him.           27

26) A batsman scores 87 runs in his 17th innings , due to this his average increased by 3 runs, Find his current average.                                    39

27) A batsman has certain average in his 11 innings. He scores 90 runs in 12th innings, due to this his average decreased by 5 runs. Find his current score.             145

28) The batting average of a batsman in 40 innings is 50 runs, if the difference between his heighest and lowest score is 172. If these both innings are excluded his average becomes 48. Find his highest score ?                          174

29) A batsman has an average of 30 runs in his 42 innings. The difference between maximum and minimum score is 100. If these two innings are removed  his average 40 innings comes down to 28. What is his maximum score?    120

30) if the bowling average of a bowler is 12.4 runs per wicket. He takes 10 wickets in his next innings by giving 52 runs, due to this his bowling average improved by 0.4 runs for wicket. Find the total number of wickets taken by him at present ?                   180

31) In a class the average of boys and girls is 'A'. The ratio of number of boys and number of girl is 3:1 and the average the boys A + 1. Find the average of girls.             

32) The average weight of 8 persons is increased by 2.5 kg when one of them whose weight is 56 kg is replaced by a new man. Find the weight of new man.   76


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