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
Answer:   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

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Raju

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
Answer & Explanation Answer: B) A=B

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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Subject: Ratio and Proportion - Quantitative Aptitude - Arithmetic Ability

Raju

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%
Answer & Explanation Answer: B) 36% and 44%

Explanation:

Assume the weight of alloy a is 100 kg


\inline \fn_jvn \therefore  The weight of alloy B is 400kg


\inline \fn_jvn \therefore               Gold          silver         copper


         A       40kg          60kg          0kg


         B      140kg         160kg        100kg


      total    180kg          220kg        100kg


\inline \fn_jvn \therefore Ratio of gold and silver in new alloy =\inline \fn_jvn \frac{180}{500}:\frac{200}{500}


                                                        = 36% :44%

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Subject: Ratio and Proportion - Quantitative Aptitude - Arithmetic Ability

Raju

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
Answer & Explanation Answer: B) 2:1

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


\inline \fn_jvn \therefore          5x = 3y


Hence    3x : 4x : 5x


\inline \fn_jvn \Rightarrow       \inline \fn_jvn \frac{9y}{5} :\frac{12y}{5}:\frac{15y}{5}=9y:12y:15y


and    5y : 4y : 3y  \inline \fn_jvn \Rightarrow   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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Subject: Ratio and Proportion - Quantitative Aptitude - Arithmetic Ability

Raju

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
Answer & Explanation Answer: B) 150

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.


\inline \fn_jvn \therefore  number of rabbits =190


and number of pigeons = 340- 190 = 150

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Submitted By: Raju
Subject: Ratio and Proportion - Quantitative Aptitude - Arithmetic Ability

Raju

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
Answer & Explanation Answer: D) None of these

Explanation:

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


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


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

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Submitted By: Raju
Subject: Ratio and Proportion - Quantitative Aptitude - Arithmetic Ability