Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

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.

### Question 2

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 3

A, B and C are three numbers. The average of A, B and C is 29. The average of A and B is 16, and the average of B and C is 69, what is the value of number B?

### Question 4

If the average of p and q is 28, the average of q and r is 48, and of r and p is 72, then what is the value of p?

**A**

52.

**B**

53.

**C**

51.

**D**

54.

**Soln.**

**Ans: a**

We have three equations (p + q)/2 = average of pq, (q + r)/2 = average of qr and (r + p)/2 = average of rp. Adding these three we get p + q + r = (average of pq + average of qr + average of rp) = (28 + 48 + 72) = 148. So p = 148 - (q + r) = 148 - (2 × average of q and r) = 148 - 2 × 48 = 52.

### Question 5

Two of the 32 numbers are 32 and 42, If these two are excluded the average of the remaining 30 numbers is 1 more than the average of all the 32 numbers. What is the average of all the 32 numbers?

### More Chapters | See All...

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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 2017-04-07.