Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

If the average of p and q is 38, the average of q and r is 56, and of r and p is 72, then what is the value of p?

**A**

54.

**B**

55.

**C**

53.

**D**

56.

**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) = (38 + 56 + 72) = 166. So p = 166 - (q + r) = 166 - (2 × average of q and r) = 166 - 2 × 56 = 54.

### Question 2

Each of the 5 items of a sample has a value 78 units. If a new item with a value 55 units more than the average of all 6 items is added, what is the sum total of the values of all 6 items?

**A**

534 units.

**B**

535 units.

**C**

533 units.

**D**

532 units.

**Soln.**

**Ans: a**

Let the average of all 6 items be x, then the required total is T = 6x. By averages, $x = {5 × 78 + (x + 55)}/6$ which is same as $x × 6 = {5 × 78 + (x + 55)}$, which is same as $T = {5 × 78 + (T/6 + 55)}$, solving for T we get 534 units.

### Question 3

What is the increase in the average of 16 numbers if the number 2 is replaced by 34?

### Question 4

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 5

A box contains 5 marbles each having a weight of 144 grams. The box also contains 25 marbles each having a weight of 114 grams. What is the average weight of all the marbles in the box?

### More Chapters | See All...

Venn Diagrams | Volume and Surface Areas | Averages | Stocks and Shares | Verification of truth | Essential Part | Logarithms | Data Sufficiency | Basic Simplification | Matrix Test | More...

This Blog Post/Article "Averages Quiz Set 017" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.