Average, Mixture & Alligation - SSC
In an examination, the average marks of 7 children was 20, that of 3 children was 45, that of another 4 children was 15 and that of 2 children was 0. What is the average marks of all the 16 children?
(Correct to one decimal place)
- A.
20
- B.
20.9
- C.
4
- D.
4.9
Answer: Option B
Explanation :
Average of all 16 children = = = 20.9
Hence, option (b).
Workspace:
What is the average of first 10 multiples of 6?
- A.
55
- B.
66
- C.
60
- D.
33
Answer: Option D
Explanation :
The first 10 multiples of 6 are:
6, 12, 18, ..., 54 and 60
Since these numbers are in Arithmetic Progression, their average is same as average of first and last terms
∴ Required Average = (6 + 60)/2 = 33
Hence, option (d).
Workspace:
Two grandparents, two parents, and three grandchildren make up a family. The average present age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years.What is the present age of the family (in years)?
- A.
- B.
- C.
- D.
Answer: Option B
Explanation :
Workspace:
The average weight of 18 persons increases by 2.5 kg when a new person comes in place of one of them weighing 72 kg. The weight of the new person is:
- A.
107 kg
- B.
127 kg
- C.
117 kg
- D.
77 kg
Answer: Option C
Explanation :
Workspace:
The average of the four numbers, given in a particular order, is 48. The average of the first three numbers is 42, while the average of the last three numbers is 50. What is the average of the first and last numbers?
- A.
54
- B.
55
- C.
56
- D.
53
Answer: Option A
Explanation :
Workspace:
The average run of 8 players is 6.5.The average run increases by 1 when 2 new players are included. What is the average run of new players?
- A.
10.5
- B.
11.5
- C.
12.5
- D.
9.5
Answer: Option B
Explanation :
Workspace:
What will be the average of the odd numbers from 21 to 81?
- A.
61
- B.
51
- C.
79
- D.
29
Answer: Option B
Explanation :
Workspace:
Find the average of the numbers 61, 51, 41, 31, 21 and 11.
- A.
36
- B.
42
- C.
32
- D.
22
Answer: Option A
Explanation :
Workspace:
The average score of a cricket team (of ten players and one captain) is 32. The scores of ten players are: 22, 11, 5, 34, 21, 32, 0, 28, 9 and 53. What is the score of the captain?
- A.
129
- B.
137
- C.
115
- D.
121
Answer: Option B
Explanation :
Workspace:
The average of 16 numbers is 23. The average of the first 7 numbers is 21 and that of the last 8 numbers is 24. Find the 8th number.
- A.
28
- B.
27
- C.
29
- D.
26
Answer: Option C
Explanation :
Workspace:
A group of 36 students has an average present age of 14 years. When the age of the teacher is included, the average age rises by one. Calculate the teacher's age (in years).
- A.
53
- B.
54
- C.
52
- D.
51
Answer: Option D
Explanation :
Workspace:
The average age of a group is increased by 6 years when a person whose age is 24 years was replaced by a person whose age is 66. Find the number of persons in the group.
- A.
7
- B.
8
- C.
6
- D.
9
Answer: Option A
Explanation :
Workspace:
The ratio of the ages of two friends is 7:9. After 10 years, it will be 19:23. What will be the average age after 7 years from now?
- A.
33 years
- B.
35 years
- C.
36 years
- D.
39 years
Answer: Option D
Explanation :
Workspace:
15 boys and a certain number of girls appeared for a test. The average score of the boys was 26; the average score of the girls was 36, while the combined average score was 30. How many girls appeared for the test?
- A.
10
- B.
8
- C.
12
- D.
9
Answer: Option A
Explanation :
Workspace:
The average age of a group is increased by 4 years when a person of whose age is 32 years was replaced by a person whose age is 56. Find the number of people in the group
- A.
6
- B.
7
- C.
8
- D.
9
Answer: Option A
Explanation :
Workspace:
In a class, there are 29 boys and 21 girls. The average score of boys in Maths is 89, whereas the average score of girls in maths is 91. What is the average of the whole class in maths?
- A.
91
- B.
89
- C.
91.84
- D.
89.84
Answer: Option D
Explanation :
Workspace:
The average of the first 43 natural numbers is:
- A.
33
- B.
44
- C.
43
- D.
22
Answer: Option D
Explanation :
Workspace:
In a decade, a town's population grew from 1,75,000 to 2,62,500. What is the average annual percentage increase in population?
- A.
8%
- B.
3%
- C.
5%
- D.
10%
Answer: Option C
Explanation :
Workspace:
The average weight of A, B and C is 65 kg. If the average weight of A and B is 62 kg and that of B and C is 66 kg, then the weight (in kg) of B is:
- A.
64
- B.
63
- C.
62
- D.
61
Answer: Option D
Explanation :
Workspace:
A family consists of two grandparents, two parents and four grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 9 years. What is the average age of the family?
- A.
40 years
- B.
30 years
- C.
36 years
- D.
45 years
Answer: Option B
Explanation :
Workspace:
The average weight of 52 girls is 47 kg. What will be the sum of their weights?
- A.
2544 kg
- B.
2458 kg
- C.
2454 kg
- D.
2444 kg
Answer: Option D
Explanation :
Workspace:
The average age of a man and his son is 56 years. The ratio of their ages is 11 : 5. What is the son's age?
- A.
40 years
- B.
35 years
- C.
30 years
- D.
32 years
Answer: Option B
Explanation :
Workspace:
Admissions into a commerce course of a university increase by 5% every year. If the number of admissions presently is 2400 into that course, after three years, the number of admissions is Nearest to an integer :
- A.
2778
- B.
2770
- C.
2775
- D.
2780
Answer: Option A
Explanation :
Workspace:
In a class of 45 students, there are 20 girls who scored an average of 42 marks in a test of 50 marks. If the class average is 36, what are the average marks of the boys?
- A.
32.50
- B.
32.10
- C.
30.80
- D.
31.20
Answer: Option D
Explanation :
Workspace:
The average weight of 15 athletes and three trainers is 60 kg. When four more athletes of average weight 63 kg are included in the group, what is the average weight (in kg, rounded off to the nearest integer) of the group?
- A.
61
- B.
62
- C.
59
- D.
60
Answer: Option A
Explanation :
Workspace: