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### Question 1

If X is 70% more than Z, and Y is 50% more than Z, what is the ratio of X to Y?

### Question 2

A mixture of milk and water contains 43 parts of milk and 9 parts of water. How much fraction of the mixture should be removed and replaced by water so that ratio of water and milk becomes equal?

**A**

${17/43}$.

**B**

$1{3/7}$.

**C**

$2{13/45}$.

**D**

$3{11/45}$.

**Soln.**

**Ans: a**

Let the volume of the mixture be 43 + 9 = 52 liters. If x liters of the mixture is removed and replaced by water, the volume of water in the new mixture is $9 - {9x}/52 + x$. The volume of the milk in the new mixture would be $43 - {43x}/52.$ Equating the two volumes and solving for x we get x = ${52 × 34}/{2 × 43}$. The fraction that must be removed = $1/52$ × ${52 × 34}/{2 × 43}$, which gives $34/{2 × 43}$ = ${17/43}$.

### Question 3

A mixture of milk and water contains 14 parts of milk and 1 parts of water. How much fraction of the mixture should be removed and replaced by water so that ratio of water and milk becomes equal?

**A**

${13/28}$.

**B**

$1{14/27}$.

**C**

$2{3/10}$.

**D**

$3{7/30}$.

**Soln.**

**Ans: a**

Let the volume of the mixture be 14 + 1 = 15 liters. If x liters of the mixture is removed and replaced by water, the volume of water in the new mixture is $1 - {1x}/15 + x$. The volume of the milk in the new mixture would be $14 - {14x}/15.$ Equating the two volumes and solving for x we get x = ${15 × 13}/{2 × 14}$. The fraction that must be removed = $1/15$ × ${15 × 13}/{2 × 14}$, which gives $13/{2 × 14}$ = ${13/28}$.

### Question 4

If a : b is 17 : 9, then what is (4a - 3b) : (7a - 8b)?

### Question 5

The sides of a triangle are in the ratio 2 : 14 : 13, which is the longest side, if the perimeter is 580?

### More Chapters | See All...

Data Sufficiency | Statements and Conclusions | Problems on Trains | Permutations and Combinations | Areas | Partnerships | Percentages | Square and Cube Roots | Paper Folding | Blood Relations | More...

This Blog Post/Article "Ratio and Proportion Quiz Set 020" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2017-10-26.