Alligation & Mixture- 3 - Free MCQ Practice Test with solutions, CAT Quant

Ram bought 3 types of wheat flour which are type A, type B and type C. The cost of type A flour is Rs 38/kg. The cost of type B is flour is Rs 45/kg and the cost of type C flour is Rs 50/kg. He mixes flour of each type in such a way that he gets a profit of 14 2/7 % when he sells it for  Rs 48/kg. If a sample of the mixture is taken such that amount of type B is 12 kgs and the amount of the other two types of flour are also positive integers, then which of the following can not be the weight of the sample?

Nimbooz, a beverage manufacturing company made a 500 ml of packaged drink that had 80% water, 15% sugar and 5% lemon juice in it. To target special consumers, it also began manufacturing Lemonkiss, a 200 ml packaged drink that had 70% water, 15% sugar, 5% salt and 10% lemon juice in it. Raghu observed that when he mixed one bottle of Nimbooz and Lemonkiss each, the drink was extremely delicious. Raghu was now considering packaging this hybrid drink to sell in the market. If 15 ml lemon juice can be extracted from a lemon, what is the minimum number of lemons needed to make 10 litres of this hybrid drink?

There are three solutions, A, B and C containing alcohol and water. The strength of the three solutions are 80%, 90% and 70% respectively. When 1 litre each of A and B is mixed with C, the strength of C increases to 75%. What would be the strength of C if two litres of A and 0.5 litres of B were mixed with C?

There are 2 containers of 1 L each which are exactly half filled. The first container named container A contains pure alcohol and the second container named container B contains pure water. A cup of volume 70 ml is used to transfer the contents among the containers. Initially, 2 cups of A is poured in B and was mixed thoroughly. After this 3 cups were taken from B and were put in A and mixed. After which 1 cup was taken and put in B. If the concentration of alcohol in A is P and the concentration of water in B is Q. Which of the following is true?

Glucose solution containing 6% glucose and rest water, is mixed with water. One third ofthe quantity of the solution obtained is drained out and replaced by juice which has 10% fruit concentrate and rest water. If water now accounts for 94% of the total solution, what isthe ratio of glucose and fruit concentrate?

Two types of lemonade (lemon syrup and water) X and Y were mixed in the proportion 1 : 4 by volume. Later on, volume of the mixture was tripled by adding lemonade X such that resulting mixture had 60% water. If lemonade X has 50% water, then the percentage of water in lemonade Y is __________ (Key in the percent value up to two decimal places).

A mixture contains lemon juice and sugar syrup in equal proportion. If a new mixture is created by adding this mixture and sugar syrup in the ratio 1 : 3, then the ratio of lemon juice and sugar syrup in the new mixture is

A glass contains 500 cc of milk and a cup contains 500 cc of water. From the glass, 150 cc of milk is transferred to the cup and mixed thoroughly. Next, 150 cc of this mixture is transferred from the cup to the glass. Now, the amount of water in the glass and the amount of milk in the cup are in the ratio

From a container filled with milk, 9 litres of milk are drawn and replaced with water. Next, from the same container, 9 litres are drawn and again replaced with water. If the volumes of milk and water in the container are now in the ratio of 16 : 9, then the capacity of the container, in litres, is

If a certain weight of an alloy of silver and copper is mixed with 3 kg of pure silver, the resulting alloy will have 90% silver by weight. If the same weight of the initial alloy is mixed with 2 kg of another alloy which has 90% silver by weight, the resulting alloy will have 84% silver by weight. Then, the weight of the initial alloy, in kg, is

A glass is filled with milk. Two-thirds of its content is poured out and replaced with water. If this process of pouring out two-thirds the content and replacing with water is repeated three more times, then the  final ratio of milk to water in the glass, is

A vessel contained a certain amount of a solution of acid and water. When 2 litres of water was added to it, the new solution had 50% acid concentration. When 15 litres of acid was further added to this new solution, the final solution had 80% acid concentration. The ratio of water and acid in the original solution was

A container holds 200 litres of a solution of acid and water, having 30% acid by volume. Atul replaces 20% of this solution with water, then replaces 10% of the resulting solution with acid, and finally replaces 15% of the solution thus obtained, with water. The percentage of acid by volume in the final solution obtained after these three replacements, is nearest to

A mixture of coffee and cocoa, 16% of which is coffee, costs Rs 240 per kg. Another mixture of coffee and cocoa, of which 36% is coffee, costs Rs 320 per kg. If a new mixture of coffee and cocoa costs Rs 376 per kg, then the quantity, in kg, of coffee in 10 kg of this new mixture is

A thief steals four gallons of liquid soap kept in a train compartment’s bathroom from a container that is full of liquid soap. He then fills it with water to avoid detection. Unable to resist the temptation he steals 4 gallons of the mixture again, and fills it with water. When the liquid soap is checked at a station it is found that the ratio of the liquid soap now left in the container to that of the water in it is 36 : 13. What was the initial amount of the liquid soap in the container if it is known that the liquid soap is neither used nor augmented by anybody else during the entire period?