CAT QA MIXTURE ALLIGATION QUESTIONS

A certain amount of water was poured into a 300 litre container and the remaining portion of the container was filled with milk. Then an amount of this solution was taken out from the container which was twice the volume of water that was earlier poured into it, and water was poured to refill the container again. If the resulting solution contains 72% milk, then the amount of water, in litres, that was initially poured into the container was

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

Anil mixes cocoa with sugar in the ratio 3 : 2 to prepare mixture A, and coffee with sugar in the ratio 7 : 3 to prepare mixture B. He combines mixtures A and B in the ratio 2 : 3 to make a new mixture C. If he mixes C with an equal amount of milk to make a drink, then the percentage of sugar in this drink will be

A mixture P is formed by removing a certain amount of coffee from a coffee jar and replacing the same amount with cocoa powder. The same amount is again removed from mixture P and replaced with same amount of cocoa powder to form a new mixture Q. If the ratio of coffee and cocoa in the mixture Q is 16 : 9, then the ratio of cocoa in mixture P to that in mixture Q 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

There are two containers of the same volume, first container half-filled with sugar syrup and the second container half-filled with milk. Half the content of the first container is transferred to the second container, and then the half of this mixture is transferred back to the first container. Next, half the content of the first container is transferred back to the second container. Then the ratio of sugar syrup and milk in the second container is

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

Ankita buys 4 kg cashews, 14 kg peanuts and 6 kg almonds when the cost of 7 kg cashews is the same as that of 30 kg peanuts or 9 kg almonds. She mixes all the three nuts and marks a price for the mixture in order to make a profit of ₹1752. She sells 4 kg of the mixture at this marked price and the remaining at a 20% discount on the marked price, thus making a total profit of ₹744. Then the amount, in rupees, that she had spent in buying almonds 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 person buys tea of three different qualities at ₹ 800, ₹ 500, and ₹ 300 per kg, respectively, and the amounts bought are in the proportion 2 : 3 : 5. She mixes all the tea and sells one-sixth of the mixture at ₹ 700 per kg. The price, in INR per kg, at which she should sell the remaining tea, to make an overall profit of 50%, is

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

Two alcohol solutions, A and B, are mixed in the proportion 1:3 by volume. The volume of the mixture is then doubled by adding solution A such that the resulting mixture has 72% alcohol. If solution A has 60% alcohol, then the percentage of alcohol in solution B is

An alloy is prepared by mixing metals A, B, C in the proportion 3 : 4 : 7 by volume. Weights of the same volume of metals A, B, C are in the ratio 5 : 2 : 6. In 130 kg of the alloy, the weight, in kg, of the metal C is

The strength of a salt solution is p% if 100 ml of the solution contains p grams of salt. Each of three vessels A, B, C contains 500 ml of salt solution of strengths 10%, 22%, and 32%, respectively. Now, 100 ml of the solution in vessel A is transferred to vessel B. Then, 100 ml of the solution in vessel B is transferred to vessel C. Finally, 100 ml of the solution in vessel C is transferred to vessel A. The strength, in percentage, of the resulting solution in vessel A is

A chemist mixes two liquids 1 and 2. One litre of liquid 1 weighs 1 kg and one litre of liquid 2 weighs 800 gm. If half litre of the mixture weighs 480 gm, then the percentage of liquid 1 in the mixture, in terms of volume, is

There are two drums, each containing a mixture of paints A and B. In drum 1, A and B are in the ratio 18 : 7. The mixtures from drums 1 and 2 are mixed in the ratio 3 : 4 and in this final mixture, A and B are in the ratio 13 : 7. In drum 2, then A and B were in the ratio

A 20% ethanol solution is mixed with another ethanol solution, say, S of unknown concentration in the proportion 1:3 by volume. This mixture is then mixed with an equal volume of 20% ethanol solution. If the resultant mixture is a 31.25% ethanol solution, then the unknown concentration of S is

A jar contains a mixture of 175 ml water and 700 ml alcohol. Gopal takes out 10% of the mixture and substitutes it by water of the same amount. The process is repeated once again. The percentage of water in the mixture is now

A trader sells 10 litres of a mixture of paints A and B, where the amount of B in the mixture does not exceed that of A. The cost of paint A per litre is Rs. 8 more than that of paint B. If the trader sells the entire mixture for Rs. 264 and makes a profit of 10%, then the highest possible cost of paint B, in Rs. per litre, is

A wholesaler bought walnuts and peanuts, the price of walnut per kg being thrice that of peanut per kg. He then sold 8 kg of peanuts at a profit of 10% and 16 kg of walnuts at a profit of 20% to a shopkeeper. However, the shopkeeper lost 5 kg of walnuts and 3 kg of peanuts in transit. He then mixed the remaining nuts and sold the mixture at Rs. 166 per kg, thus making an overall profit of 25%. At what price, in Rs. per kg, did the wholesaler buy the walnuts? 

Bottle 1 contains a mixture of milk and water in 7 : 2 ratio and Bottle 2 contains a mixture of milk and water in 9 : 4 ratio. In what ratio of volumes should the liquids in Bottle 1 and Bottle 2 be combined to obtain a mixture of milk and water in 3 : 1 ratio?

Consider three mixtures - the first having water and liquid A in the ratio 1 : 2, the second having water and liquid B in the ratio 1 : 3, and the third having water and liquid C in the ratio 1 : 4. These three mixtures of A, B, and C, respectively, are further mixed in the proportion 4 : 3 : 2. Then the resulting mixture has

A class consists of 20 boys and 30 girls. In the mid-semester examination, the average score of the girls was 5 higher than that of the boys. In the final exam, however, the average score of the girls dropped by 3 while the average score of the entire class increased by 2. The increase in the average score of the boys is:

A container has 40 liters of milk. Then, 4 liters are removed from the container and replaced with 4 liters of water. This process of replacing 4 liters of the liquid in the container with an equal volume of water is continued repeatedly. The smallest number of times of doing this process, after which the volume of milk in the container becomes less than that of water, is

Alloy A is made of Lead and Zinc mixed in the ratio of 1 : 3. Alloy B is made of lead and Zinc mixed in the ratio of 2 : 3. Alloys A and B are mixed in the ratio of 3 : 2. 200 kg of this new alloy was replaced by 200 kg of another alloy containing Zinc and Iron in the ratio of 3 : 1. Zinc in the resultant alloy is 60%. Find the weight of alloy A

A thief stole some liquor from a shop. The original liquor contained 70 % alcohol. The thief replaced the stolen liquor with another liquor containing 50% alcohol. The resulting mixture had 55% alcohol. What fraction of the original liquor did the thief steal?

A mixture of milk and water is in the ratio 3: 2 . Now, the milkmen increase the quantity of milk and water by 20% and 30% respectively, he repeats this process until, the concentration of the water is more than milk for the first time. How many times did he do such a process?

A milkman has two containers, A and B, of the same capacity. Container A contains pure milk (100 litres), and container B contains pure water (100 litres). The milkman takes 25 litres of pure milk from container A and pours it into container B. After this first process, 25 litres are taken from container B and poured into container A. Now, the ratio of milk to water in container A is a:b. Find the minimum value of (a + b).

A large punch bowl contains 36 litres of a fruit blend(orange juice + water), where 54% of the mixture is orange juice. To dilute the sweetness, a chef removes 6 litres of the blend and replaces it with pure water, creating "Blend B". Then, to further adjust the flavour, the chef removes 9 litres of Blend B and again replaces it with pure water, resulting in "Blend C". What percentage of Blend C is orange juice?

There are three types of beers P, Q and R having alcohol concentrations of 30%, 40% and C% respectively.  The bartender mixed 300 ml of P with “M” ml of R, to produces a solution of 36% (alcohol) concentration and 300 ml of Q mixed with “M” ml of R, produces a solution of 42% concentration, find M in ml.

There are two mixtures A and B, ratio of alcohol and water in the mixture A and B are 3:7 and 7:3 respectively. In preparing a mixture C, 50% of mixture C is A and 30% of mixture C is B while 20% of mixture C is water. Find the concentration of the alcohol in the mixture C.

A beaker contains V litres of mixture of milk and water in the ratio 3:2 respectively. The total volume was increased by 50% by adding milk. Next, 15 litres of solution is replaced by milk. If the final ratio of milk and water in beaker is 4:1, find the Value of V?

A baker mixes high-quality flour, which costs him Rs. 60/kg, with a lower-quality flour, which costs him Rs. 35/kg, in the ratio 3:2. What is the discount percentage provided by him if he sells the mixture after a markup of 28% so that he makes a profit of 15.2%?

There are two mixtures, A and B, with a ratio of alcohol and water in the mixture in A and B are 1:4 and 4:1, respectively. In preparing mixture C, 20% of mixture A, 70% of mixture B, and 10% water are used. Find the concentration of the alcohol in the mixture C?

A vessel is completely filled with pure alcohol. 10 liters are withdrawn from the vessel and replaced with an equal amount of water. Then, 10 liters of the resulting mixture are again removed and replaced with 10 liters of water. After these two operations, the vessel contains 19 liters less alcohol than it did initially. What is the minimum number of additional such replacements required so that the vessel contains less than 60% alcohol?

Two types of tea, A and B, are mixed and then sold at Rs. 50 per kg. The profit is 20%, if A and B are mixed in the ratio 3 : 2, and the profit is 15% if A and B are mixed in the ratio 2 : 3. Find the cost price of tea B per kg.

Containers A and B have volumes in the ratio 5:6 and are completely filled with water-alcohol mixtures. The water to alcohol ratio is 3:7 in A and 7:5 in B. Their contents are mixed in another container, and 40 liters of water is added to make the final mixture contain equal water and alcohol. What was the initial volume of alcohol in container A?

3/5th of the mixture of milk and water is replaced by orange juice, and the ratio of Milk, Water and Orange juice in the resulting mixture becomes 8:6:6, respectively. The initial quantity of water in the mixture is 20 litres less than that of milk. Then what % of the resulting mixture should be taken out, due to which the total quantity of milk and orange juice in the final mixture becomes 42 litres?

A juice shop has 60 litres of orange juice priced at ₹50 per litre and 90 litres of mango juice priced at ₹40 per litre. An equal quantity of orange and mango juice is taken out from each container. Then, mango juice is poured into the container of orange juice, and orange juice is poured into the container of mango juice. After mixing, the price per litre of both mixtures becomes the same. What quantity of juice was taken out and then mixed with other container?

 A container holds 30 litres of pure juice. A person removes 3 litres of juice and replaces it with 3 litres of water. Again, 5 litres of the resulting mixture is removed and replaced with 5 litres of water. If this process is repeated one more time, but this time, they removed 10 litres of mixture which was replaced with equal quantity of pure juice, what is the final quantity (in litres) of pure juice left in the container?

A container has 60 liters of a mixture that is 40% water. How many liters of a 40% milk solution must be added to make a solution that is 55% milk?

Container A contains cooking oil worth Rs. 90 per liter and container B contains cooking oil worth Rs. 'X' per liter. If both the cooking oils are mixed in the ratio of 2 : 3 respectively, then the price per liter of the mixture will be Rs. 75 per liter. What is the value of 'X'?

During the testing of a drug, the results were found to be 85% positive in the 1st phase of tests and 55% positive in the 2nd phase of tests. If the overall results were 75% positive, which of the following can be the total number of tests conducted in the 1st and 2nd phases if total number of tests conducted are less than 5 ?

A tank is filled with a mixture of paint, consisting of 60 liters red paint and 90 liters of white paint. How much of the mixture must be removed and replaced with red paint so that the tank ends up with an equal amount of red and white paint?

Two types of fabric, one costing Rs. 120 per meter and the other costing Rs. 150 per meter, are mixed with a third type of fabric in the ratio 1:2:3. If the mixture costs Rs. 180 per meter, what is the cost of the third type of fabric per meter?