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### Question 1

A box contains 5 marbles each having a weight of 108 grams. The box also contains 25 marbles each having a weight of 72 grams. What is the average weight of all the marbles in the box?

### Question 2

Each of the 8 girls of a class has a score 28 marks. If a new girl with a score 56 marks more than the average of all 9 girls is added, what is the sum total of the values of all 9 girls?

**A**

315 marks.

**B**

316 marks.

**C**

314 marks.

**D**

313 marks.

**Soln.**

**Ans: a**

Let the average of all 9 girls be x, then the required total is T = 9x. By averages, $x = {8 × 28 + (x + 56)}/9$ which is same as $x × 9 = {8 × 28 + (x + 56)}$, which is same as $T = {8 × 28 + (T/9 + 56)}$, solving for T we get 315 marks.

### Question 3

The average weight of the 17 bogies of a train increases by 13 Kg when a new bogie replaces a bogie of weight 9 Kg. What is the weight of the new bogie.

### Question 4

387 men and 258 women are employed in a farm. The average wage per person is Rs. 128. What is the wage of a man if women are paid Rs. 5 less?

### Question 5

The average weight of 16 students of a class is 31 Kg, whereas the average weight of remaining 16 students is 28 Kg. What is the average weight of all 32 students?

**A**

$29{1/2}$.

**B**

$30{14/31}$.

**C**

$28{20/33}$.

**D**

$31{7/15}$.

**Soln.**

**Ans: a**

Total weight of 16 students is 16 × 31 = 496. Similarly, the total weight of remaining 16 students is 16 × 28 = 448. The total weight of all 32 students is 496 + 448 = 944. So the average = 944/32 = $29{1/2}$.

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This Blog Post/Article "Averages Quiz Set 010" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.