type 8 alligation & mixtures based ratio & proportion problems Section-Wise Topic Notes With Detailed Explanation And Example Questions
MOST IMPORTANT quantitative aptitude - 9 EXERCISES
-
199+ Ratio Proportion Basic Concepts MCQ Questions Answers »
-
Top 199+ Ratio Proportion Age Based MCQ Questions Answers »
-
159+ Ratios Proportions Addition Subtraction product MCQ »
-
199+ Ratio Proportion Income, Expenditure Problems MCQS »
-
199+ Partnership Aptitude (Ratio) MCQ Questions Answers »
-
259+ Ratio and Proportion (fractions) Aptitude MCQ Quiz »
-
199+ Ratio and Proportion Aptitude Questions Answers MCQ »
-
299+ Alligation and Mixture Problems Aptitude MCQ Quiz »
-
249+ Ratio and Proportion Coins Based Questions Answers »
The following question based on ratio & proportion topic of quantitative aptitude
(a) 21
(b) 25
(c) 20
(d) 10
The correct answers to the above question in:
Answer: (a)
Let A = 7x litre, B = 5x litre
In 9 litres of mixture,
A = ${7x}/{12x} × 9 = 21/4$ litres
B = ${5x}/{12x} × 9 = 15/4$ litres
In new situation,
${7x - 21/4}/{5x - 15/4 + 9} = 7/9$
${28x - 21}/{20x - 15 + 36} = 7/9$
252x - 189 = 140x + 147
112x = 336
x = 3
Initial quantity of liquid A
= 7x = 7 × 3 = 21 litres
Practice ratio & proportion (type 8 alligation & mixtures based ratio & proportion problems) Online Quiz
Discuss Form
Read more alligation and mixtures problems Based Quantitative Aptitude Questions and Answers
Question : 1
A container contains two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with B, the ratio of A and B becomes 1:1. How many litres of liquid A was in the container initially ?
a) 36$3/4$
b) 26$3/4$
c) 16$1/2$
d) 26
Answer »Answer: (a)
Let Liquid A = 7x litres
Liquid B = 5x litres
In 9 litres,
A = $7/12 × 9 = 21/4$ litres
B = $5/12 × 9 = 15/4$ litres
$7x - 21/4 = 5x - 15/4 + 9$
$2x = 21/4 - 15/4 + 9$
$2x = {21 - 15 + 36}/4 =42/4$
$x = 21/4$
Liquid A = $7 × 21/4$
= $147/4 = 36{3}/4$ litre
Question : 2
A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4 : 5. The quantity of alcohol in the given mixture is
a) 15 litres
b) 10 litres
c) 4 litres
d) 3 litres
Answer »Answer: (b)
In original mixture,
Alcohol = 4x litres
Water = 3x litres
On adding 5 litres of water,
${4x}/{3x + 5} = 4/5$
20x = 12x + 20
8x = 20
$x = 20/8 = 5/2$
Quantity of alcohol
= $4x = 4 × 5/2$ = 10 litres
Question : 3
Two alloys are both made up of copper and tin. The ratio of copper and tin in the first alloy is 1 : 3 and in the second alloy is 2 : 5. In what ratio should the two alloys be mixed to obtain a new alloy in which the ratio of tin and copper be 8 : 3 ?
a) 3 : 8
b) 5 : 11
c) 4 : 7
d) 3 : 5
Answer »Answer: (c)
By rule of alligation
Required ratio
= $1/77 : 1/44$ = 4 7
Question : 4
There are three containers of equal capacity. The ratio of Sulphuric acid to water in the first container is 3 : 2, that in the second container is 7 : 3 and in the third container it is 11 : 4. If all the liquids are mixed together, then the ratio of Sulphuric acid to water in the mixture will be :
a) 60 : 29
b) 59 : 29
c) 61 : 28
d) 61 : 29
Answer »Answer: (d)
In the new vessel, we have.
Sulphuric acid
= $3/5 + 7/10 + 11/15$
=${18 + 21 + 22}/30 = 61/30$
Water = $2/5 + 3/10 + 4/15$
= ${12 + 9 + 8}/30 = 29/30$
Sulphuric acid : Water
= $61/30 : 29/30$= 61 : 29
Question : 5
Two vessels A and B contain milk and water mixed in the ratio 8 : 5 and 5 : 2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing 69$3/13$% milk is:
a) 5 : 7
b) 2 : 7
c) 5 : 2
d) 3 : 5
Answer »Answer: (b)
Milk in the resulting mixture = $9/13$
= ${65 - 63}/{7 × 13} = 2/{7 × 13}$
Required ratio
= $2/{7 × 13} : 1/13$ = 2 : 7
Question : 6
A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup ?
a) $1/5$
b) $1/7$
c) $1/4$
d) $1/3$
Answer »Answer: (a)
Ratio = 4 : 1
Required quantity = $1/5$
GET ratio & proportion PRACTICE TEST EXERCISES
type 1 basic concepts of ratio & proportion
type 2 age based ratio & proportion problems
type 3 addition subtraction product on ratio & proportion
type 4 income & expenditure based ratio & proportion problems
type 5 shares & partnership based ratio & proportion problems
type 6 fractions based ratio & proportion problems
type 7 finding sum difference product based ratio & proportion problems
type 8 alligation & mixtures based ratio & proportion problems
type 9 coins & rupees based ratio & proportion problems
ratio & proportion Shortcuts and Techniques with Examples
Verbal Reasoning
Question & Answer Quiz
Non Verbal Reasoning
Question & Answer Quiz
Quantitative Aptitude
Question & Answer Quiz
Computer MCQ
Question & Answer Quiz
General English
Question & Answer Quiz
History GK
Question & Answer Quiz
Polity GK
Question & Answer Quiz
Geography GK
Question & Answer Quiz
Economy GK
Question & Answer Quiz
General Awareness GK
Question & Answer Quiz
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
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
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
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
Continue Reading »