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## Mixtures and Alligations Aptitude Problems – Information

Quiz Name |
Mixtures and Alligations |

Category |
Aptitude |

Number of Questions |
23 |

Time |
30 Minutes |

Exam Type |
MCQ (Multiple Choice Questions) |

## Mixtures and Alligations Quiz Online Test – Practise Now

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**1. A bottle contains two liquids A and B in the ratio 4 : 5. When 20 liters of the liquid A is taken out and 20liters of liquid B was poured into the bottle, then the new ratio of liquid A to liquid B becomes 3: 4. Find the quantity liquid A in the bottle initially**

a. 560 L

b. 660 L

c. 700 L

d. 480 L

e. 760 L

**Answer: a**

**Explanation: **

**2. A can contains the mixture of milk and water in the ratio 7:3. If 20liters of mixture were taken out and replaced by 9liters of water, then the ratio of milk and water become 4:3. Then, find the initial quantity of water**

a. 11 liters

b. 13 liters

c. 15 liters

d. 18 liters

e. 16 liters

**Answer: d**

**Explanation:**

**3. Two bottles of 48L and 64L are filled with mixtures of milk and water; the proportions in the two casks being equal that is 7 :9. If mixture of two bottles be mixed and 7L of water be added to the whole, what will be the proportion of milk and water in the resulting mixture?**

a. 10:7

b. 11:7

c. 7:9

d. 7:10

e. 7:13

**Answer: d**

**Explanation:**

**4. Tank contains 60-liter mixture of milk and water in the ratio of 7: 5. X liter of mixture is taken out from the mixture and replaced with 15 liters of water. If the final quantity of water in the tank becomes 35 lit, then find the value of X.**

a. 12 lit

b. 18 lit

c. 9 lit

d. 24 lit

e. 36 lit

**Answer: a**

**Explanation: **

**5. A mixture of milk and water containing 40 liters of water and y liters of milk. If 50 liters milk is added to the mixture. Then the ratio of milk and water in the resultant mixture become 3:2. Then find the value of y?**

a. 5 liters

b. 15 liters

c. 25 liters

d. 10 liters

e. 20 liters

**Answer: d**

**Explanation:**

**6. A container contains 30 liters of wine. From this container 3 liters of wine was taken out replaced by water. This process was repeated further two times. How much wine is now contained by container?**

a. 12.45 liters

b. 21.87 liters

c. 29.50 liters

d. 17.65 liters

e. 25.31 liters

**Answer: b**

**Explanation:**

**7. From a vessel of 45 litre which is full of milk, 9 litre milk is taken out and completely replaced with water. Again 9 litre mixture is taken out and completely replaced with water. Find the quantity of milk left in the final mixture?**

a. 32.4 litre

b. 28.8 litre

c. 24 litre

d. 33.6 litre

e. None of these

**Answer: b**

**Explanation: **

Here, the vessel is full of 45 litre milk

9 litre milk is replaced by 9 litre water and this process is repeated one more time

**8. What quantity of water is required to be mixed with a mixture having alcohol & water in ratio 4 : 1 such that final mixture contains equal quantity of both? (final mixture quantity is 50 lit)**

a. 25 lit

b. 20.75 lit

c. 18.75 lit

d. 22.75 lit

e. 18 lit

**Answer: c**

**Explanation:**

**9. A mixture of milk and water in a jar contains 29 Liters milk and 9 Liters water. To this mixture, Y Liters milk and Y Liters water are added. If 60% of the new mixture is 36 L, then find the value of Y.**

a. 7 Litres

b. 11 Litres

c. 13 Litres

d. 15 Litres

e. None of these

**Answer: b**

**Explanation:**

According to the question,

60% of new mixture = 36 L

100% of new mixture = (36/60) × 100 = 60 L

i.e., 29 + 9 + Y + Y = 60

⇒ Y = 22/2 = 11 L

**10. Two vessels A and B contain mixtures of milk and water in the ratios 3 : 7 and 4 : 1 respectively. In a third vessel C, in what ratio should quantities of mixture be taken from vessels A and B are mixed to form a mixture in which ratio of milk and water is 7 : 9?**

a. 3 : 5

b. 7 : 8

c. 11 : 9

d. 11 : 28

e. None of these

**Answer: e**

**Explanation:**

**Solution:**

Using the rule of Alligation, we get

= A : B = 29 : 11

**11. A bottle contains mixture of wine and water in the ratio 7 : 3. If we added 10 litre water in the mixture the ratio of wine and water becomes 3 : 2. Find the initial quantity of wine in the mixture.**

a. 42 litre

b. 45 litre

c. 50 litre

d. 60 litre

e. None of these

**Answer: a**

**Explanation:**

Let initial quantity of wine and water be 7x and 3x respectively.

Initial quantity of wine =7x = 42 litre.

**12. A vessel of 80 l is filled with milk and water in parts separately. 75% of milk and 25% of water is taken out of the vessel. It is found that the vessel is vacated by 60%. Find the initial quantity of water.**

a. 24 litres

b. 27 litres

c. 32 litres

d. 36 litres

e. 40 litres

**Answer: a**

**Explanation:**

Let the initial volume of water be ‘w’ litres and the volume of milk = ‘m’ litres

m + w = 80

On removing 75% of milk and 25% of water from the vessel,

0.25m + 0.75w = 80 * 0.4 = 32

= m + 3w = 128

Using the pairs of equations, m = 56, w = 24

**13. An alloy contains a mixture of Zinc, Copper and Iron in the ratio of 4 : 5 : 7. If 24 kg of mixture is taken out and 5 kg of Zinc and 12 kg of Iron is mixed in the alloy. In the resultant mixure quantity of Iron is 26 kg more than Copper, then what is total quantity of initial mixtures?**

a. 106 kg

b. 112 kg

c. 121 kg

d. 136 kg

e. none of these

**Answer: d**

**Explanation:**

Let after 24 kg of alloy is taken out, the quantity of Zinc, Copper, and Iron be 4x, 5x and 7x kg respectively.

According to question

(7x + 12) – 5x = 26

Therefore, x = 7

∴ Total quantity of initial alloy = 24 + (4x + 5x + 7x) = 24 + 16 × 7= 136 kg.

**14. How many litres of a 90% of concentrated acid needs to be mixed with a 75% Solution of concentrated acid to get a 30 liter Solution of 78% concentrated acid?**

a. 8

b. 9

c. 7

d. 6

e. None of these

**Answer: d**

**Explanation:**

The concentration is given which is wrt 100, hence we can take x lt of 90% and (30-x)of 75% x*90 + (30-x)*75 = 30*78 hence the ans is 6 liters.

**15. A zookeeper counted the heads of the animals in a zoo and found it to be 80. When he counted the legs of the animals he found it to be 260. If the zoo had either pigeons or horses, how many horses were there in the zoo? In the zoo, each horse had four legs and each pigeon had two legs.**

a. 40

b. 30

c. 50

d. 60

e. None of these

**Answer: c**

**Explanation:**

Let the number of horses = x

Then the number of pigeons = 80 – x.

Each pigeon has 2 legs and each horse has 4 legs.

Therefore, total number of legs = 4x + 2(80-x) = 260

4x + 160 – 2x = 260

2x = 100

x = 50.

**16. There are two types of sugar. One is priced at Rs 62 per kg and the other is priced at Rs 72 per kg. If the two types are mixed together, the price of new mixture will be Rs 64.50 per kg. Find the ratio of the two types of sugar in this new mixture**

**a. 2:5**

**b. 3:1**

**c. 6:7**

**d. 3:2**

**e. None of these**

**Answer: b**

**Explanation:**

Cost Price of 1kg of Type 1 sugar = 6200 p.

Cost Price of 1kg of Type 2 sugar = 7200 p.

Mean Price of 1 kg of mixture = 6450 p.

According to the Rule of Alligation,

(Quantity of Cheaper) : (Quantity of Dearer) = (CP of dearer – Mean Price):(Mean Price – CP of cheaper)

Therefore, the required ratio = (7200-6450):(6450-6200) = 750:250 = 3:1.

**17. A certain quantity of water is mixed with milk priced at Rs 12 per litre. The price of mixture is Rs 8 per litre. Find out the ratio of water and milk in the new mixture.**

a. 3:2

b. 1:2

c. 5:2

d. 2:1

e. None of these

**Answer: b**

**Explanation:**

Cost Price of 1 litre of water = Rs 0.

Cost Price of 1 litre of milk = Rs 12.

Mean Price of Mixture = Rs 8.

According to the Rule of Alligation,

(Quantity of Cheaper) :(Quantity of Dearer) = (CP of dearer – Mean Price):(Mean Price – CP of cheaper)

Therefore, Water : Milk = (12-8):(8-0) = 4:8 = 1:2.

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## Mixtures and Alligations Questions and Answers

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## Mixtures and Alligations Formulas and Tricks

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