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### Question 1

In a cricket match of 50 overs a team has to chase a target of 270 runs. During the first 10 overs it has scored at the rate of 3 runs per over. What is the required run rate for the remaining 40 overs?

### Question 2

The average number of visitors at a zoo on a Monday is 72, whereas it is 108 on other days of the week. What will be the average number of visitors in a 30-day month that begins on a Monday?

### Question 3

A box contains 5 marbles each having a weight of 66 grams. The box also contains 25 marbles each having a weight of 96 grams. What is the average weight of all the marbles in the box?

### Question 4

370 men and 555 women are employed in a farm. The average wage per person is Rs. 97. What is the wage of a man if women are paid Rs. 5 less?

### Question 5

There is a sequence of 60 consecutive odd numbers. The average of first 18 of them is 78. What is the average of all the 60 numbers?

**A**

120.

**B**

121.

**C**

119.

**D**

118.

**Soln.**

**Ans: a**

The consecutive odd numbers form an AP with a common difference of 2. If the first term is a, then the average of first n terms of this AP is ${a + (a + (n-1) × 2)}/2$ which is = a + n-1. We are given the average of first 18 terms as 78. So a + 18 - 1 = 78, which gives a = 61. The average of first 60 terms would be a + 60 - 1 = 61 + 60 - 1 = 120.

This Blog Post/Article "Averages Quiz Set 007" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.