type 8 alligation & mixtures based ratio & proportion problems Section-Wise Topic Notes With Detailed Explanation And Example Questions

Question : 1

Two vessels A and B contain milk and water mixed in the ratio 4 : 3 and 2 : 3. The ratio in which these mixtures be mixed to form a new mixture containing half milk and half water is

a) 5 : 6

b) 4 : 3

c) 6 : 5

d) 7 : 5

Question : 2

There is 81 litres pure milk in a container. One-third of milk is replaced by water in the container. Again one-third of mixture is extracted and equal amount of water is added. What is the ratio of milk to water in the new mixture?

a) 2 : 1

b) 4 : 5

c) 1 : 1

d) 1 : 2

Question : 3

In a 729 litres mixture of milk and water, the ratio of milk to water is 7 : 2. To get a new mixture containing milk and water in the ratio 7 : 3, the amount of water to be added is

a) 56 litres

b) 50 litres

c) 71 litres

d) 81 litres

Question : 4

A and B are two alloys of gold and copper prepared by mixing metals in ratios 7 : 2 and 7 : 11 respectively. If equal quantities of the alloys are melted to form a third alloy C, the ratio of gold and copper in C will be ;

a) 9 : 5

b) 5 : 7

c) 5 : 9

d) 7 : 5

Question : 5

A jar contained a mixture of two liquids A and B in the ratio 4 : 1. When 10 litres of the mixture was taken out and 10 litres of liquid B was poured into the jar, this ratio became 2 : 3. The quantity of liquid A contained in the jar initially was

a) 16 litres

b) 40 litres

c) 8 litres

d) 4 litres

Question : 6

In 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

a) 6$2/3$

b) 6$3/4$

c) 6$1/2$

d) 6