Alligation Advanced Quiz (Set 4) - Quantitative Aptitude

Question 1

A merchant has three varieties of wheat costing $Rs. 120/kg$, $Rs. 144/kg$, and $Rs. 174/kg$. In what ratio must he mix these three varieties so that the resulting mixture is worth $Rs. 150/kg$?

Accepted Answer

C) $2 : 2 : 3$

Answer

A) $2 : 3 : 5$

Answer

B) $3 : 3 : 4$

Answer

D) $1 : 2 : 4$

Question 2

A cask contains 60 litres of pure milk. 6 litres of milk are drawn and replaced with water. This process is repeated two more times. What is the final ratio of milk to water in the cask?

Accepted Answer

B) $729 : 271$

Answer

A) $81 : 19$

Answer

C) $271 : 729$

Answer

D) $9 : 10$

Question 3

A mixture of 40 litres of milk and water contains 10% water. How much water (in litres) must be added to make the water 20% in the new mixture?

Accepted Answer

A) 5

Answer

B) 4

Answer

C) 6.5

Answer

D) 8

Question 4

An alloy contains copper and zinc in the ratio $5 : 2$. Another alloy contains copper and zinc in the ratio $8 : 5$. In what ratio should these two alloys be mixed to get a new alloy containing copper and zinc in the ratio $9 : 4$?

Accepted Answer

D) $7 : 2$

Answer

A) $2 : 3$

Answer

B) $5 : 2$

Answer

C) $3 : 5$

Question 5

A man travels 400 km in 8 hours. He covers a part of the distance by bus at 40 km/h and the rest by train at 60 km/h. What is the distance covered by the bus?

Accepted Answer

B) 160 km

Answer

A) 120 km

Answer

C) 200 km

Answer

D) 240 km

Question 6

Container A has spirit and water in ratio $3:2$ and Container B has them in ratio $4:5$. In what ratio should the liquids from A and B be mixed so that the resulting mixture contains equal quantities of spirit and water?

Accepted Answer

C) $5 : 9$

Answer

A) $3 : 5$

Answer

B) $4 : 7$

Answer

D) $1 : 1$

Question 7

A sum of Rs. 50,000 was lent partly at 10% p.a. and the rest at 15% p.a. simple interest. If the total annual interest received was Rs. 6,200, find the amount lent at 15%.

Accepted Answer

A) Rs. 24,000

Answer

B) Rs. 26,000

Answer

C) Rs. 25,000

Answer

D) Rs. 30,000

Question 8

Three glasses of capacity 2 litres, 5 litres, and 9 litres contain a mixture of milk and water in the ratios $2:1$, $3:2$, and $5:4$ respectively. If the contents of all three glasses are poured into a single large vessel, what is the ratio of milk to water in the vessel?

Accepted Answer

D) $311 : 169$

Answer

A) $11 : 7$

Answer

B) $151 : 121$

Answer

C) $231 : 141$

Question 9

A grocer sells rice at 10% profit and another variety at 5% loss. If the cost price of the first variety is $Rs. 20/kg$ and the second is $Rs. 30/kg$, in what ratio should he mix them to have no profit and no loss overall?

Accepted Answer

B) $3 : 4$

Answer

A) $2 : 3$

Answer

C) $1 : 2$

Answer

D) $5 : 6$

Question 10

A vessel is full of a mixture of spirit and water in which there is 20% spirit. 5 litres are drawn off and the vessel is filled up with water. If the spirit is now 12%, what is the total capacity of the vessel?

Accepted Answer

C) 12.5 litres

Answer

A) 10 litres

Answer

B) 15 litres

Answer

D) 18 litres