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) 56 litres
(b) 63 litres
(c) 49 litres
(d) 40 litres
The correct answers to the above question in:
Answer: (d)
Quantity of milk in 30 litre mixture
= $30/10 × 7$ = 21litres
Quantity of water
= $30/10 × 3 =9$ litres
Suppose x litres more water is added.
According to question,
$21/{9 + x} = 3/7$
9 + x = 49
x = 40 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
In 30 litres mixture of acid, the ratio of acid and water is 2 : 3 . What amount of water should be added to the mixture so that the ratio of acid and water becomes 2 : 5 ?
a) 18 litres
b) 12 litres
c) 15 litres
d) 10 litres
Answer »Answer: (b)
In 30 litres of mixture,
Acid = $2/5 × 30$ = 12 litres
Water = $3/5 × 100$ = 18 litres
$12/{18 + x} = 2/5$
60 = 36 + 2x
2x = 60 - 36 = 24
x = 12 litres of water.
Question : 2
A barrel contains a mixture of wine and water in the ratio 3 : 1. How much fraction of the mixture must be drawn off and substituted by water so that the ratio of wine and water in the resultant mixture in the barrel becomes 1 : 1 ?
a) $3/4$
b) $2/3$
c) $1/3$
d) $1/4$
Answer »Answer: (c)
Let the barrel contain 4 litres of mixture.
Wine = 3 litres
Water = 1 litre
Let x litre mixture is taken out.
Wine in (4 - x) litres mixture
= $3/4(4 - x)$
On adding x litres water, water in mixture
= $(4 - x) × 1/4 + x = 1 - x/4 + x$
= ${4 - x +4x}/4 = {4 + 3x}/4$
$3/4(4 - x) = {4 + 3x}/4$
$3 - {3x}/4 = 1 + {3x}/4$
$2 = {6x}/4$
$x = {2 × 4}/6 = 4/3$
Required answer
= ${4/3}/4 = 1/3$
Question : 3
In an alloy, the ratio of copper and zinc is 5 : 2. If 1.250 kg of zinc is mixed in 17 kg 500 g of alloy, then the ratio of copper and zinc will be
a) 3 : 2
b) 1 : 2
c) 2 : 3
d) 2 : 1
Answer »Answer: (d)
Weight of copper in 17kg 500 gm
i.e. 17500 gm of alloy
= $5/7$ × 17500 = 12500 gm
Weight of zinc = (17500 - 12500) = 5000 gm
1250 gm of zinc is mixed in alloy.
Total weight of zinc
= 1250 + 5000 = 6250 gm.
Required ratio
= 12500 : 6250 = 2 : 1
Question : 4
Zinc and copper are in the ratio of 5 : 3 in 200 gm of an alloy. How much grams of copper be added to make the ratio as 3 : 5?
a) 72
b) 66
c) $1/200$
d) 133$1/3$
Answer »Answer: (d)
Weight of zinc
= $200 × 5/8$= 125 gram
Weight of copper
= $200 × 3/8$ = 75 gram.
Let the ratio of 125 gram zinc and x gram copper be 3 : 5
= $125/x = 3/5$
$x = {125× 5}/3 = 625/3$ gram
Addition of copper in mixture
= $625/3 - 75 = {625 - 225}/3$
= $400/3 = 133{1}/3$ gram.
Question : 5
The milk and water in a mixture are in the ratio 7 : 5. When 15 litres of water are added to it, the ratio of milk and water in the new mixture becomes 7 : 8. The total quantity of water in the new mixture is
a) 60 litres
b) 96 litres
c) 40 litres
d) 35 litres
Answer »Answer: (c)
Let the quantity of milk in the mixture = 7x litres and that of water = 5x litres.
According to the question,
${7x}/{5x + 15} = 7/8$
56x = 35x + 105
56 x - 35 x = 105
21x = 105
$x = 105/21$ =5
Required quantity of water
= (5x + 15) litres
= 5 × 5 + 15 = 40 litres
Question : 6
The ratio in which a man must mix rice at Rs.10.20 per kg and Rs.14.40 per kg so as to make a mixture worth Rs.12.60 per kg, is
a) 18 : 24
b) 3 : 4
c) 2 : 5
d) 4 : 3
Answer »Answer: (b)
Required ratio = 1.8 : 2.4
= 18 : 24 = 3 : 4
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
New 150+ Percentage Questions For IBPS Clerk Prelims 2024
Free Top Percentage Quants Aptitude based Multiple Choice Questions and Answers Practice Test Series, Quiz PDF & Mock Test for IBPS Clerk Prelims 2024 Exam
Continue Reading »
Classification Reasoning MCQ For IBPS Clerk Prelims 2024
Most Important 100+ Classification based Verbal Reasoning Ability Multiple choice questions and answers PDF, Free New Mock tests For IBPS Clerk Prelims 2024
Continue Reading »
Ratio and Proportion Questions with Solutions, IBPS Clerk
New Ratio and Proportion Quants Aptitude based Multiple Choice Questions and Answers Practice Test Series, Quiz & Mock Test for IBPS Clerk Prelims 2024 Exam
Continue Reading »
Top Analogy Reasoning Ability For IBPS Clerk Prelims 2024
Most Important Analogy based Verbal Reasoning Multiple choice questions and answers practice quiz series PDF, Free New Mock tests For IBPS Clerk Prelims 2024
Continue Reading »