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### Question 1

There are three sections in school with 20, 40 and 30 students respectively. The average weight of a student in these sections, respectively, is 2, 5 and 2 Kg. What is the average weight of all the the students of the combined sections?

### Question 2

The average age of three friends 3 years ago was 33 years. The average age of two them 5 years ago was 19 years. What is the present age of the third friend?

**A**

60 years.

**B**

61 years.

**C**

59 years.

**D**

58 years.

**Soln.**

**Ans: a**

Let the present ages of the three friends be a, b and c. We are given ${(b - 5) + (c - 5)}/2$ = 19. Which gives b + c = 48. We are also given ${(a - 3) + (b - 3) + (c - 3)}/3$ = 33, which gives a + b + c = 3 * 33 + 9 = 108. Putting b + c here we get a = 108 - (b + c) = 108 - 48 = 60 years.

### Question 3

The average age of three friends 3 years ago was 31 years. The average age of two them 5 years ago was 12 years. What is the present age of the third friend?

**A**

68 years.

**B**

69 years.

**C**

67 years.

**D**

66 years.

**Soln.**

**Ans: a**

Let the present ages of the three friends be a, b and c. We are given ${(b - 5) + (c - 5)}/2$ = 12. Which gives b + c = 34. We are also given ${(a - 3) + (b - 3) + (c - 3)}/3$ = 31, which gives a + b + c = 3 * 31 + 9 = 102. Putting b + c here we get a = 102 - (b + c) = 102 - 34 = 68 years.

### Question 4

The sales(in rupees) of a gift shop for six consecutive days is 3594, 4422, 1800, 2724, 732 and 4164. What is the overall average sale for these six days?

### Question 5

The average weight of 19 students of a class is 39 Kg, whereas the average weight of remaining 12 students is 38 Kg. What is the average weight of all 31 students?

**A**

$38{19/31}$.

**B**

$39{9/10}$.

**C**

$37{13/32}$.

**D**

$41{8/29}$.

**Soln.**

**Ans: a**

Total weight of 19 students is 19 × 39 = 741. Similarly, the total weight of remaining 12 students is 12 × 38 = 456. The total weight of all 31 students is 741 + 456 = 1197. So the average = 1197/31 = $38{19/31}$.

### More Chapters | See All...

Cubes and Dice | Paper Cutting | Simple Interest | Hidden Figures | Bricks and Blocks | abba Series | Inequalities | Percentages | Analogies | Time and Work | More...

This Blog Post/Article "Averages Quiz Set 016" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2020-01-21. Published on: 2016-04-22