#### Ratio and Proportion Question & Answers

Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?

A) 10 : 5 | B) 15 : 2 |

C) 20 : 2 | D) 25 : 2 |

Explanation:

Indian stamps are common to both ratios. Multiply both ratios by factors such that the Indian stamps are represented by the same number.

US : Indian = 5 : 2, and Indian : British = 5 : 1. Multiply the first by 5, and the second by 2.

Now US : Indian = 25 : 10, and Indian : British = 10 : 2

Hence the two ratios can be combined and US : British = 25 : 2

Subject:
Ratio and Proportion
- Quantitative Aptitude - Arithmetic Ability

Exam Prep:
GRE

There are two containers, the first one contains 1 litre pure water and the second one contains 1 litre pure milk.Now 5 cups of water from the first container is taken out is mixed well in the second container. Then, 5 cups of this mixture is taken out and is mixed in the first container. Let A denote the proportion of milk in the first container and B denote the proportion of water in the second container then:

A) A |
B) A=B |

C) A>B | D) can't be determined |

Explanation:

Here the ratio of mixtures( i.e milk , water) doesnot matter. But the important point is that whether the total amount ( either pure or mixture ) being transferred is equal or not.Since the total amount ( i.e 5 cups) being transferred from each one to another , hence A =B.

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Submitted By: RajuSubject: Ratio and Proportion - Quantitative Aptitude - Arithmetic Ability

Alloy A contains 40% gold and 60% silver. Alloy B contains 35% gold and 40% silver and 25% copper. Alloys A and B are mixed in the ratio of 1:4 .What is the ratio of gold and silver in the newly formed alloy is?

A) 20% and 30% | B) 36% and 44% |

C) 25% and 35% | D) 49% and 36% |

Explanation:

Assume the weight of alloy a is 100 kg

The weight of alloy B is 400kg

Gold silver copper

A 40kg 60kg 0kg

B 140kg 160kg 100kg

total 180kg 220kg 100kg

Ratio of gold and silver in new alloy =

= 36% :44%

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Submitted By: RajuSubject: Ratio and Proportion - Quantitative Aptitude - Arithmetic Ability

The number of oranges in three baskets are in the ratio of 3 : 4 : 5. In which ratio the no. of oranges in first two baskets must be increased so that the new ratio becomes 5 : 4 : 3?

A) 1:3 | B) 2:1 |

C) 3:4 | D) 2:3 |

Explanation:

B1 : B2 : B3 = 3x : 4x : 5x

again B1 : B2 : B3 = 3y : 4y : 5y

Since there is increase in no.of oranges in first two baskets only, it means the no. of oranges remains constant in the third basket

5x = 3y

Hence 3x : 4x : 5x

and 5y : 4y : 3y 25y : 20y : 15y

Therfore, increase in first basket = 16

ad increase in second basket = 8

Therefore, the required ratio =2:1

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Submitted By: RajuSubject: Ratio and Proportion - Quantitative Aptitude - Arithmetic Ability

In a zoo, there are rabbits and pigeons. If heads are counted, there are 340 heads and if legs are counted there are 1060 legs.How many pigeons are there?

A) 120 | B) 150 |

C) 170 | D) 180 |

Explanation:

Suppose there are all the pigeons then total no of heads are 340 and total no of legs are 680.

Now, since 380 (1060-680) legs are extra, it means there will be 190 (380/2) rabbits.As we know a rabbit has two extra legs than that of a pigeon.

number of rabbits =190

and number of pigeons = 340- 190 = 150

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Submitted By: RajuSubject: Ratio and Proportion - Quantitative Aptitude - Arithmetic Ability

In Maa Yatri Temple every devotee offers fruits to the orphans. Thus every orphan receives bananas, oranges and grapes in the ratio of 3:2:7 in terms of dozens. But the weight of a grape is 24 gm and weight of a banana and an orange are in the ratio of 4:5, while the weight of an orangeis 150gm. Find the ratio of all the three fruits in terms of weight, that an orphan gets

A) 90:75:42 | B) 180:150:82 |

C) 75:42:90 | D) None of these |

Explanation:

Ratio of fruits (by dozen) = 3:2:7

Ratio of fruits (by weight) = 120 :150: 24

Ratio of fruits (combined) by weight = 3 x 120 : 2 x 150 : 7 x 24 = 30 : 25 : 14

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Submitted By: RajuSubject: Ratio and Proportion - Quantitative Aptitude - Arithmetic Ability