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### Question 1

The sales(in rupees) of a karyana store for five consecutive days is 2262, 666, 1740, 3216, 4926. What should be the sale on the sixth day so that the overall average sale is 2281?

### Question 2

There is a sequence of 57 consecutive odd numbers. The average of first 13 of them is 203. What is the average of all the 57 numbers?

**A**

247.

**B**

248.

**C**

246.

**D**

245.

**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 13 terms as 203. So a + 13 - 1 = 203, which gives a = 191. The average of first 57 terms would be a + 57 - 1 = 191 + 57 - 1 = 247.

### Question 3

What is the increase in the average of 10 numbers if the number 5 is replaced by 85?

### Question 4

What is the average of first 343 natural numbers?

### Question 5

Average weight of a group of 44 boys is 28 Kg. Later it was found that the weighing machine was showing 2 Kg more than the actual weight. What is the actual average weight?

**A**

26.

**B**

27.

**C**

25.

**D**

24.

**Soln.**

**Ans: a**

Let the total weight of the group as measured with the faulty machine be x. Then, by average formula $28 = x/44$, which gives x = $28 × 44 = 1232$. When weight of each of the 44 boys is reduced by 2 Kg, the new total becomes $1232 - 44 × 2 = 1144$, the new average becomes $1144/44 = 26$. TIP: As a shortcut, the new average = old average - error in weighing machine.

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This Blog Post/Article "Averages Quiz Set 004" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-06-24.