Alligation Quiz

1. A merchant has three varieties of sugar costing $$Rs. 120$$, $$Rs. 144$$, and $$Rs. 174$$ per kg. In what ratio should he mix these three varieties so that the resulting mixture costs $$Rs. 150$$ per kg?

A) 11 : 7 : 7

B) 8 : 8 : 11

C) 4 : 4 : 5

D) 7 : 11 : 11

2. A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

A) $1/3$

B) $1/5$

C) $1/4$

D) $2/7$

3. A jar contains a mixture of two liquids A and B in the ratio $4:1$. When $10$ litres of the mixture is taken out and $10$ litres of liquid B is poured into the jar, the ratio becomes $2:3$. How many litres of liquid A was contained in the jar initially?

A) 12 litres

B) 14 litres

C) 15 litres

D) 20 litres

4. A container contains 64 litres of pure milk. One-fourth of the milk is replaced by water. Again, one-fourth of the mixture is extracted and replaced by water. What is the ratio of milk and water in the final mixture?

A) 9 : 7

B) 11 : 5

C) 16 : 9

D) 9 : 16

5. Tea worth $Rs. 126$ per kg and $Rs. 135$ per kg are mixed with a third variety in the ratio $1:1:2$. If the mixture is worth $Rs. 153$ per kg, the price of the third variety per kg is:

A) $Rs. 165.50$

B) $Rs. 170.50$

C) $Rs. 175.50$

D) $Rs. 180.00$

6. A solution of 100 litres contains 20% acid and the rest water. How many litres of acid must be added to make the solution 40% acid?

A) 25 litres

B) 33.33 litres

C) 40 litres

D) 50 litres

7. In what ratio must a grocer mix two varieties of tea worth $Rs. 60$ a kg and $Rs. 65$ a kg so that by selling the mixture at $Rs. 68.20$ a kg he may gain 10%?

A) 3 : 2

B) 3 : 4

C) 4 : 5

D) 3 : 2

8. There are two mixtures of honey and water, the first containing honey and water in the ratio $1:3$ and the second in the ratio $3:1$. How much of the first mixture should be added to 10 litres of the second to obtain a mixture containing 50% honey?

A) 10 litres

B) 5 litres

C) 15 litres

D) 20 litres

9. A sum of $Rs. 41$ was divided among 50 students. If each boy gets 90 paise and each girl gets 65 paise, find the number of boys.

A) 32

B) 34

C) 36

D) 16

10. An alloy contains copper, zinc and nickel in the ratio $5:3:2$. Another alloy contains copper and nickel in the ratio $5:3$. If equal weights of the two alloys are melted together, what will be the percentage of nickel in the new alloy?

A) 24.5%

B) 32.25%

C) 28.75%

D) 18.5%

Quantitative Aptitude: Alligation (Set 5)