Competitive Exams : Quantitative Aptitude - Alligation (Set 2)

Question 1

Two vessels contain mixtures of milk and water in the ratio 3:2 and 4:1 respectively. In what ratio must these mixtures be mixed to get a new mixture containing 70% milk?

Find the required ratio.

Accepted Answer

A) 2:3

Answer

B) 3:2

Answer

C) 1:4

Answer

D) 4:1

Question 2

A container has 50 liters of pure spirit. 10 liters are removed and replaced with water. This process is repeated twice more.

What is the final amount of spirit in the container?

Accepted Answer

B) 25.6 liters

Answer

A) 24.5 liters

Answer

C) 28 liters

Answer

D) 32 liters

Question 3

A merchant mixes two types of rice costing Rs. 40/kg and Rs. 60/kg in the ratio 2:3. He sells the mixture at Rs. 60/kg.

What is his profit percentage?

Accepted Answer

A) 15.38%

Answer

B) 20%

Answer

C) 25%

Answer

D) 10%

Question 4

In a 40 liter mixture of milk and water, the ratio of milk to water is 7:1. How much water must be added to make the ratio 3:1?

Calculate the added water quantity.

Accepted Answer

C) 2.66 liters

Answer

A) 2 liters

Answer

B) 3 liters

Answer

D) 4 liters

Question 5

A vessel contains 60 liters of milk. 12 liters are taken out and replaced by water. This is done again.

What is the final ratio of milk to water?

Accepted Answer

B) 16:9

Answer

A) 16:9

Answer

C) 9:16

Answer

D) 1:1

Question 6

Pure milk costs Rs. 20 per liter. A vendor adds water to milk and sells it at cost price, earning a profit of 25%.

What is the ratio of milk to water in the mixture?

Accepted Answer

D) 4:1

Answer

A) 1:4

Answer

B) 3:1

Answer

C) 2:1

Question 7

Two alloys contain tin and iron in ratios 1:2 and 2:3. In what ratio must they be mixed to have a new alloy with tin and iron in ratio 5:9?

Find the ratio.

Accepted Answer

A) 3:4

Answer

B) 2:3

Answer

C) 1:2

Answer

D) 4:5

Question 8

A jar contains a mixture of two liquids A and B in ratio 3:1. When 10 liters of the mixture is taken out and replaced by liquid B, the ratio becomes 1:1.

What was the initial volume of the mixture?

Accepted Answer

C) 40L

Answer

A) 20L

Answer

B) 30L

Answer

D) 50L

Question 9

How much water must be added to 30 liters of milk worth Rs. 15/liter so that the mixture is worth Rs. 10/liter?

Calculate the water added.

Accepted Answer

B) 15L

Answer

A) 10L

Answer

C) 20L

Answer

D) 5L

Question 10

A mixture contains spirit and water in ratio 3:2. If 3 liters of water is added, the ratio becomes 1:1.

What is the quantity of spirit?

Accepted Answer

A) 9L

Answer

B) 12L

Answer

C) 6L

Answer

D) 15L

Question 11

Ratio of copper to zinc in two alloys is 5:2 and 3:4. If equal weights are mixed, find the ratio in the new alloy.

Find the final ratio.

Accepted Answer

B) 8:6

Answer

A) 7:5

Answer

C) 9:7

Answer

D) 1:1

Question 12

A tea seller blends two types of tea costing Rs. 250 and Rs. 300 per kg. He sells the mix at Rs. 270.

In what ratio should he blend them to make a profit of 0%?

Accepted Answer

A) 3:2

Answer

B) 2:3

Answer

C) 1:1

Answer

D) 4:1

Question 13

A vessel contains 80 liters of milk. 8 liters is replaced by water. Process repeated twice.

Find final milk content.

Accepted Answer

C) 64.8L

Answer

A) 62.5L

Answer

B) 63.8L

Answer

D) 60L

Question 14

Alcohol and water are in 4:3 ratio. After adding 5 liters of alcohol, the ratio becomes 3:2.

How much alcohol is present?

Accepted Answer

B) 60L

Answer

A) 40L

Answer

C) 30L

Answer

D) 50L

Question 15

A mixture of A and B is 3:5. How much of A must be replaced to make it 1:1?

Fraction to replace.

Accepted Answer

C) 1/3

Answer

A) 1/4

Answer

B) 1/2

Answer

D) 1/5

Question 16

Two solutions of 20% and 40% acid are mixed to get 32% acid.

What is the mixing ratio?

Accepted Answer

A) 2:3

Answer

B) 3:2

Answer

C) 1:2

Answer

D) 2:1

Question 17

A container has 100 liters of milk. 20 liters taken out, replaced by water. 20 liters of new mix taken out, replaced by water.

Final milk quantity?

Accepted Answer

D) 64L

Answer

A) 70L

Answer

B) 60L

Answer

C) 65L

Question 18

Gold and copper in 2:1 and 3:2. Ratio to mix for 5:3 alloy?

Find the ratio.

Accepted Answer

A) 1:2

Answer

B) 2:1

Answer

C) 1:1

Answer

D) 3:2

Question 19

A mixture has milk and water in 5:3. How much must be drawn and replaced with water to make it 1:1?

Fraction to replace.

Accepted Answer

C) 1/5

Answer

A) 1/5

Answer

B) 1/6

Answer

D) 1/8

Question 20

Solution A is 40% alcohol, B is 60%. To get 45%, ratio?

Find the ratio.

Accepted Answer

A) 3:1

Answer

B) 1:3

Answer

C) 2:1

Answer

D) 1:2

Set 9Competitive Exams : Quantitative Aptitude - Alligation