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## Ratios and Proportions

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Question 1 |

**The average age of three boys is 25 years and their ages are in the proportion 3 : 5**

**: 7. The age of the youngest boy is:**

21 years | |

18 years | |

15 years | |

9 years | |

None of these |

Question 2 |

**A box contains 1-rupee, 50-paise and 25-paise coins in the ration 8 : 5 : 3. If the**

**total amount of money in the box is ` 112.50, the number of 50-paise coins is**

80 | |

50 | |

30 | |

42 | |

None of These |

Question 3 |

**Two natural numbers are in the ratio 3 : 5 and their product is 2160. The smaller**

**of the numbers is**

36 | |

24 | |

18 | |

12 | |

None of these |

Question 4 |

**What must be added to each term of the ratio 7 : 11 so as to make it equal to 3 : 4**

8 | |

7.5 | |

6.5 | |

5 | |

None of these |

Question 5 |

**If W1 : W2 = 2 : 3 and W1 : W3 = 1 : 2 then W2 : W3 is**

3 : 4 | |

4 : 3 | |

2 : 3 | |

4 : 5 | |

None of These |

Question 6 |

**` 2040 are divided among A, B and C such that A gets**

**of what B gets and B**

**Gets**

**of what C gets. Then B’s share is:**

` 180 | |

` 240 | |

` 360 | |

` 480 | |

None of These |

Question 7 |

**` 1870 are divided into three parts in such a way that half of the first part, onethird**

**of the second part and one-sixth of the third part are equal. The third part is:**

` 510 | |

` 680 | |

` 850 | |

` 1020 | |

None of These |

Question 8 |

**The ages of X and Y are in the ratio of 3 : 1. Fifteen years hence, the ratio will be 2**

**: 1. Their present ages (in years) are:**

30, 10 | |

45, 15 | |

21, 7 | |

60, 20 | |

None of These |

Question 9 |

**A and B are two alloys of gold and copper prepared by mixing metals in the ratio**

**7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third**

**alloy C, the ratio of gold and copper in C will be:**

5 : 9 | |

5 : 7 | |

7 : 5 | |

9 : 5 | |

None of These |

Question 10 |

**A mixture contains milk and water in the ratio of 5 : 1. On adding 5 litres of water,**

**the ratio of milk to water becomes 5 : 2. The quantity of milk in the original mixture**

**is:**

16 liters | |

25 liters | |

22.75 liters | |

32.5 liters | |

None of These |

Question 11 |

**Two equal glasses are respectively**

**and**

**full of milk. They are then filled with**

**water and the contents mixed in a tumbler. The ratio of milk and water in a tumbler**

**is:**

7 : 5 | |

7 : 17 | |

9 : 21 | |

11 : 23 | |

None of These |

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