1) The average score of 30 students in standard VII A is 62 marks. The average score of the 40 students in standard VII B is 72.5 marks. The average score of both classes combined is *clue 1*.
2) The average weight a group of 6 people is *clue 1* in kg. When one new person joins the group, the average weight of the group now becomes 70 kg. The weight of the new person who joined is *clue 2*.
3) Total 9 girls were standing in a line. The average height of the first 5 girls is *(clue 2 + 38)* cm while that of the last 5 is 140 cm. The average height of all the girls is 125. The height of the 5th girl is *clue 3*?
4) There are three numbers p, q and r. It is known that p is half of q while r is thrice of q. The average of the three numbers is *(clue 3 + 5)/12*. The largest number of the three numbers is clue 4.
5) A data entry operator enters *Clue 4* numbers and computes the average as 25. By mistake, one of the numbers was entered as 38 instead of 98. The correct average is *clue 5*.
6) The average runs scored by a batsman per inning was *clue 5* in the first 15 innings and 30 in the first 20 innings. His average score in the last 5 innings is *clue 6*.
7) The average weight of a group of 7 people is *clue 6* kg. When one of them leaves the group, the average weight of the rest increases by 0.5 kg. The weight of the person who left is *clue 7*.
8) The average age of a class was 8 years. If the *clue 7*-year old teacher is also included, the average age becomes 9 years. The number of students in the class is *clue 8*.
9) The average of ten distinct natural numbers is the number of whole numbers till the sum of digits in *clue 8*. The maximum value the largest of these numbers is *clue 9*.
10) Rohan bought dry peas from the market having *clue 9*% water in them; he soaks them in water, at home such that water in the peas grow to 80% if the quantity of peas after soaking is 45 kg them what is the quantity of dry peas he purchased from the market?
Answers
Given : The average score of 30 students in standard VII A is 62 marks. The average score of the 40 students in standard VII B is 72.5 marks
To find : average score of both classes combined
Solution:
The average score of 30 students in standard VII A is 62 marks.
=> Total marks of VIIA Students = number of Students * Average Marks
= 30 * 62
= 1860
The average score of the 40 students in standard VII B is 72.5 marks
=> Total marks of VIIB Students = number of Students * Average Marks
= 40 * 72.5
= 2900
Total Students in VIIA & VIIB = 30 + 40 = 70
Total Marks of Students in VIIA & VIIB = 1860 + 2900 = 4760
Average score of both classes combined is = 4760/70
= 68
The average score of both classes combined is 68
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