Alligation And Mixtures Pdf Model Questions & Answers, Practice Test for ssc chsl tier 1 2024
ssc chsl tier 1 2024 SYLLABUS WISE SUBJECTS MCQs
Number System
Simplification
Power, Indices And Surds
Time & Work
Time & Distance
Mensuration
Profit & Loss
Alligation & Mixtures
Simple Interest
Probability
Permutations & Combination
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 ?
Answer: (c)
According to the question,
Wine | : | Water | Total | |
Initial Ratio | 3 | : | 1 | 4 |
Final Ratio | 1 | : | 1 | 2 × 2 |
1 unit taken out and added
Hence Required part of quantity = $1/3$
Alternative :
Let the quantity of liquid drawn out = x
${3 - 3/4 x}/{1 - 1/4 x + x} = 1/1$
12 - 3x = 4 - x + 4x
8 = 6x
x = $4/3$
Hence required part of quantity = ${4/3}/4 = 1/3$
A mixture of 80 litres of wine and water contains 60 percent wine how much water must be added to make it 50 percent wine in the new mixture?
Answer: (d)
According to the question
Given :
Mixture of wine and water = 80 liters
Initial winer concentration = 60 %
Calculations:
Amount of wine in 80 litre of mixture = 60% of 80 = 48 litres
Amount of water in 80 litre of mixture = 80 - 48 = 32 litres
Also, 50 percent wine in the new mixture means 50 percent water in the new mixture
According to the question,
32 + x = 50/100 × (80 + x)
2 (32 + x) = (80 + x)
64 + 2x = 80 + x
x = 16
∴ x = 16 litres
∴ 16 litres water must be added to make it 50 percent wine in the new mixture.
Water initial mixture pure water
In a mixture of 25 litres, the ratio of acid to water is 4: 1. Another 3 litres of water is added to the mixture. The ratio of acid to water in the new mixture is:
Answer: (d)
According to the question,
Mixture = 25 liters
Ratio of ${Acid}/{Water} = 4/1$ > 5 units
∴ 5 units → 25 liters
1 unit → 5 liters
∴ ${Acid}/{Water} = {4 × 5}/{1 × 5} = 20/5$
Acid | Water | ||
Initial | 20 | : | 5 |
+ 3 | |||
Final Ratio | 20 | : | 8 |
[5 : 2]
In a 40 litres mixture of milk and water the ratio of milk to water is 7: 1. In order to make the ratio of milk and water 3: 1, the quantity of water (in litres) that should be added to the mixture will be
Answer: (d)
According to the question,
Milk | : | Water | |
Initial Ratio | 7 × 3 | : | 1 × 3 |
Final Ratio | 7 × 3 | : | 1 × 7 |
Thus, Remember, water is added, not milk, so make milk equal
24 units = 40 liters
1 Unit = $40/24$ liters
4 units = $40/24 × 4$
= $40/6 = 24/3 = 6{2}/3$ liters
How many kg. of salt at 42 Paise per kg must a man mix with 25 kg of salt at 24 Paise per kg, so that he may, on selling the mixture at 40 Paise per kg. gain 25% on the outlay?
Answer: (d)
According to the question,
S.P. of the mixture = 40P per kg.
C.P. of the mixture = 40 × $100/125$ = 32 P per kg
Now using Alligation.
Ratio of Quantity 4 : 5
5 units → 25 kg
1 unit → 5 kg
4 units → 5 × 4 = 20 kg
∴ Salt at 42 P per kg was = 20 kg
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