type 8 alligation & mixtures based ratio & proportion problems Section-Wise Topic Notes With Detailed Explanation And Example Questions

MOST IMPORTANT quantitative aptitude - 9 EXERCISES

Top 10,000+ Aptitude Memory Based Exercises

The following question based on ratio & proportion topic of quantitative aptitude

Questions : There is 81 litres pure milk in a container. One-third of milk is replaced by water in the container. Again one-third of mixture is extracted and equal amount of water is added. What is the ratio of milk to water in the new mixture?

(a) 2 : 1

(b) 4 : 5

(c) 1 : 1

(d) 1 : 2

The correct answers to the above question in:

Answer: (b)

Quantity of milk in the last

= $81(1 - 27/81)^2 = 81(1 - 1/3)^2$

= $81 × 2/3 × 2/3$ = 36

Quantity of water in the last

= 81 - 36 = 45

Ratio = $36/45 = 4/5 = 4 : 5$

Practice ratio & proportion (type 8 alligation & mixtures based ratio & proportion problems) Online Quiz

Discuss Form

Valid first name is required.
Please enter a valid email address.
Your genuine comment will be useful for all users! Each and every comment will be uploaded to the question after approval.

Read more alligation and mixtures problems Based Quantitative Aptitude Questions and Answers

Question : 1

In a 729 litres mixture of milk and water, the ratio of milk to water is 7 : 2. To get a new mixture containing milk and water in the ratio 7 : 3, the amount of water to be added is

a) 56 litres

b) 50 litres

c) 71 litres

d) 81 litres

Answer: (d)

Quantity of milk in 729 litres of mixture

= $7/9 × 729$ = 567 litres

Quantity of water

= (729 - 567) litres = 162 litres.

Let x litres of water is mixed to get the required ratio of 7 : 3

$567/{162 + x} =7/3$

7x + 1134 = 1701

7x = 1701 - 1134 = 567

$x = 567/7$ = 81 litres

Question : 2

Two vessels A and B contain milk and water mixed in the ratio 4 : 3 and 2 : 3. The ratio in which these mixtures be mixed to form a new mixture containing half milk and half water is

a) 5 : 6

b) 4 : 3

c) 6 : 5

d) 7 : 5

Answer: (d)

Required ratio

= $1/10 : 1/14$ = 7 : 5

Question : 3

Vessels A and B contain mixtures of milk and water in the ratios 4 : 5 and 5 : 1 respectively. In what ratio should quantities of mixture be taken from A and B to form a mixture in which milk to water is in the ratio 5 : 4?

a) 5 : 2

b) 2 : 3

c) 4 : 3

d) 2 : 5

Answer: (a)

First of all we write the fraction of milk present in three mixtures.

In A; $4/9$ and In B; $5/6$

In combination of A and B; $5/9$

From alligation rule,

= $5/18 : 1/9$

$5/18 : 2/18$ ⇒ 5 : 2

So, ratio of

A : B = 5 : 2

Question : 4

A and B are two alloys of gold and copper prepared by mixing metals in ratios 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 ;

a) 9 : 5

b) 5 : 7

c) 5 : 9

d) 7 : 5

Answer: (d)

Gold = $7/9 : 7/18 = 14/18 : 7/18$

Gold in new mixture

= 14 + 7 = 21

and copper = 18 × 2 - 21

= 36 - 21 = 15

Required ratio

= 21 : 15 = 7 : 5

Recently Added Subject & Categories For All Competitive Exams

Most Important Antonyms Vocabulary - IBPS Clerk Prelims 2024

Latest Antonyms multiple choice questions and answers with free PDFfor IBPS Clerk Prelims 2024. English Vocabulary practice exercise for all bank exam

17-May-2024 by Careericons

Continue Reading »

Syllogism Practice Questions Answers PDF - IBPS Clerk 2024

Practice Verbal Reasoning Syllogism multiple choice questions and answers with Fully solved explanation, PDF for the IBPS Clerk Prelims 2024 Bank Exam

16-May-2024 by Careericons

Continue Reading »

IBPS Clerk Prelims 2024 Synonyms Questions Solved Answers

Most important IBPS Clerk Prelims 2024 Synonyms and Antonyms multiple choice questions and answers with detailed solutions, English vocabulary PDF Download

14-May-2024 by Careericons

Continue Reading »

New Cloze Test Questions and Answers PDF - IBPS Clerk 2024

The most important Cloze Test questions with detailed answers for upcoming IBPS Clerk prelims 2024. Latest English verbal ability practice MCQs, PDF

13-May-2024 by Careericons

Continue Reading »