type 8 alligation & mixtures based ratio & proportion problems Practice Questions Answers Test with Solutions & More Shortcuts
ratio & proportion PRACTICE TEST [9 - 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
Question : 16 [SSC CGL Tier-1 2011]
A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. Litres of liquid A contained by the can initially was
a) 21
b) 25
c) 20
d) 10
Answer »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
Question : 17 [SSC CHSL 2011]
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 : 18 [SSC CHSL 2013]
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 : 19 [SSC CHSL 2013]
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 : 20 [SSC CHSL 2012]
A container contains 60 kg of milk. From this container 6 kg of milk was taken out and replaced by water. This process was repeated further two times. The amount of milk left in the container is
a) 43.74 kg
b) 47.6 kg
c) 39.64 kg
d) 34.24 kg
Answer »Answer: (a)
Amount of milk left
= Initial amount ×
$(1-\text”Amount taken out in each operation”/\text”Initial amount”)^3$
= $60(1 - 6/60)^3$
= $60(1 - 1/10)^3$
= $60 × 9/10 × 9/10 × 9/10$
= 43.74 kg.
IMPORTANT quantitative aptitude EXERCISES
-
199+ Ratio Proportion Basic Concepts MCQ Questions Answers »
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Top 199+ Ratio Proportion Age Based MCQ Questions Answers »
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159+ Ratios Proportions Addition Subtraction product MCQ »
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199+ Ratio Proportion Income, Expenditure Problems MCQS »
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199+ Partnership Aptitude (Ratio) MCQ Questions Answers »
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259+ Ratio and Proportion (fractions) Aptitude MCQ Quiz »
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199+ Ratio and Proportion Aptitude Questions Answers MCQ »
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299+ Alligation and Mixture Problems Aptitude MCQ Quiz »
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249+ Ratio and Proportion Coins Based Questions Answers »
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