Alligation or Mixture problems A vessel, full of water, weighs 24 kg. When the vessel is 1/4 full, it weighs 9 kg. Find the weight of empty vessel. 8 kg 3 kg 4 kg 5 kg 8 kg 3 kg 4 kg 5 kg ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the weight of vessel be xWeight of water = 24 ? x? (24 ? x)/4 + x = 9? 24 ? x + 4x = 36? 3x = 12? x = 4 kg
Alligation or Mixture problems From a cask of wine, containing 64 liters, 8 liters are drawn out and the cask is filled up with water. If the same process is repeated a second, then a third time, what will be the number of liters of wine left in the cask? 42 7 kg 8 42 3 kg 8 48 7 kg 8 42 1 kg 8 42 7 kg 8 42 3 kg 8 48 7 kg 8 42 1 kg 8 ANSWER DOWNLOAD EXAMIANS APP
Alligation or Mixture problems A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container? 29.16 litres 28 litres 26.34 litres 27.36 litres 29.16 litres 28 litres 26.34 litres 27.36 litres ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Amount of milk left after 3 operations = [ 40 ❨ 1 - 4 ❩ 3 ] litres 40 = ❨ 40 x 9 x 9 x 9 ❩ = 29.16 litres.
Alligation or Mixture problems From a vessel filled with alcohol 1/5 of its contents is removed and the vessel is then filled up with water. If this be done 5 times in succession, what proportion of the alcohol originally contained in the vessel will have been removed from it? 1024 3125 2101 3125 None of these 1024 2101 1024 3125 2101 3125 None of these 1024 2101 ANSWER DOWNLOAD EXAMIANS APP
Alligation or Mixture problems One type of liquid contains 25 % of benzene, the other contains 30% of benzene. A can is filled with 6 parts of the first liquid and 4 parts of the second liquid. Find the percentage of benzene in the new mixture. 26 % 29 % 21 % 27 % 26 % 29 % 21 % 27 % ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the percentage of benzene = X(30 - X)/(X- 25) = 6/4 = 3/2 => 5X = 135 X = 27 So, required percentage of benzene = 27 %
Alligation or Mixture problems Ratio of water and milk in a container is 2 : 3. If 40 liter mixture removed from the container and same quantity of milk is added to it then the ratio of water to milk becomes 1 : 4. Find the initial quantity of mixture? 75 lit 80 lit 90 lit 85 lit 75 lit 80 lit 90 lit 85 lit ANSWER EXPLANATION DOWNLOAD EXAMIANS APP From the given data, let the initial quantity of the mixture = 5x Then, 2 x - 16 3 x - 24 + 40 = 1 4 8 x - 64 = 3 x + 16 5 x = 80 x = 16 lit Then the initial quantity of the mixture = 5x = 5 x 16 = 80 lit.