Mixtures and Alligation

Directions : Answer the question independently. Two identical samples of 225 ml of a composite liquid M, which is a mixture of liquids A, B and water, were sent to two testing labs P and Q to determine the ratio in which A, B and water are present in M. While transporting the 225ml sample to lab P, some water accidently seeped into the sample and the lab gave the test results as 2:3:5. While transporting the other sample to lab Q, some water got evaporated and the test results came out to be 6:9:10. If the amount of water that got added in the first sample is four times the amount of water that got evaporated in the second sample, find the ratio in which the three liquids A, B and water are present in M.

Directions: Select the correct alternative from the given choices. The density of a liquid is defined as the mass per unit volume of the liquid. The densities of two liquids A and B, are in the ratio 2 : 1. 70 kg of liquid A is mixed with 30 kg of liquid of B to form a mixture. ln this mixture, liquid B evaporates at a rate (in kg/hr) which is twice as fast compared to that of liquid A, which evaporates at a rate of 1 kg/hour. Find the number of hours for which the mixture needs to be evaporated, for the density of the resultant mixture to become 1.04 times that of the original mixture (i.e., before evaporation).

In a chemistry lab, a scientist is conducting an experiment using two solutions contained in the beaker: Solution A and Solution B. Solution A initially contains 750 ml of a chemical compound, while Solution B contains 250 ml of water. The scientist performs a series of transfers and mixing between the two solutions. First, 200 ml of Solution A is carefully poured into Solution B, and the contents are thoroughly mixed. This creates a mixture of the compound and water in Solution B. Next, the scientist takes 90 ml of the compound-water mixture from Solution B and transfers it back to Solution A. The solutions are mixed once again to ensure homogeneity. What is the ratio of the volume of water in Solution A to the volume of the chemical compound in Solution B?

A chemist has two containers A and B of equal volumes of 35 litres each. Container A initially contains a mixture of X and water in the ratio 2 : 3, while container B initially contains a mixture of Y and water in the ratio 3 : 4. The chemist decides to prepare a mixture in which the concentration of liquids X and Y should be 33 1 3 % of the total solution. However, while transferring the liquids, the chemist accidentally pours 20% of the mixture from container A and 30% of the mixture from container B. Now how much water should be mixed in the resultant mixture to get the targeted result?

A chemist has two solutions of alcohol and water. Solution A contains alcohol and water in the ratio 2 : 5, while Solution B contains alcohol and water in the ratio 5 : 8. The chemist decides to mix Solutions A and B in such a way that the resulting mixture has an alcohol-to-water ratio of 13 : 25. If the chemist needs to prepare 114 litres of the resulting mixture, how many litres of each solution should be mixed?

A chemist has three types of liquids: Liquid X, Liquid Y, and Liquid Z. The ratio of X to Y in the first mixture is 2 : 5, and the ratio of Y to Z in the second mixture is 3 : 4. The chemist wants to create a final mixture by combining the first and second mixtures such that the ratio of X to Z is 1 : 2. If the chemist needs 60 litres of the final mixture, how many litres of each mixture should be used?

A chemist has two solutions, one containing 30% alcohol and the other containing 60% alcohol. He wants to create a new solution containing 45% alcohol by mixing these two solutions. However, he accidentally spills 50 ml from the first solution and 30 ml from the second solution on the laboratory floor. Undeterred, he mixes the remaining solutions to get the desired solution. How many millilitres of the first solution and the second solution did the chemist have initially?

In a chemistry lab, a solution is prepared by mixing two chemicals, X and Y, along with water. The volume of water in the mixture accounts for 25% of the total solution volume, while the volumes of chemicals X and Y are in the ratio 8 : 7. To separate water from the mixture, it is passed through a specialised filter that absorbs the water completely and partially absorbs chemical Y. This filter absorbs 180 ml of the original mixture. As a result, the volume ratio of chemicals X and Y in the remaining concentrated solution becomes 4 : 3. Calculate the volume of chemical Y absorbed by the filter.

A chemist has three containers of different volumes containing liquids A, B and C, each having a different concentration of a certain compound. Container A has a solution that is 40% concentrated, Container B has a solution that is 60% concentrated, and Container C has a solution that is 80% concentrated. The chemist wants to create a new solution by mixing these three containers in such a way that the final mixture has a concentration of 70%. However, due to a laboratory accident, he can only use half the volume from Container A, two-thirds of the volume from Container B, and three-fourths of the volume from Container C. How many millilitres of each container should he use to create the desired 70% concentrated mixture?

In a juice bar, there are two containers of equal capacity. The first container is filled to its maximum capacity with orange juice, while the second container is one-fourth full with apple juice. The following sequence of steps is performed. The entire content of the first container is poured into the second container, filling it to capacity and mixing the orange juice with the apple juice. Then, the mixture from the second container is poured back into the first container until the first container is full again. Finally, the mixture from the first container is poured into the second container to fill it completely. After these steps, what will be the final fraction of orange juice in the second container?

Given below are two statements: Statement I: In order to get a mixture worth 16·5/kg, a grocer needs to mix two varieties of pulses costing ₹15 and ₹20 per kg respectively in the ratio 7 : 3. Statement II: A merchant has 1000 kg rice, part of which he sells at 8% profit and the rest at 16% profit. He gains 14% on the whole. The quantity of rice sold at 16% profit is 750 kg. In the light of the above statements, choose the correct answer from the option given below:

In the realm of fruit beverages, a vendor is faced with the task of concocting the perfect blend. In one container, there is a mixture consisting of 30% orange juice, with the remaining portion being apple juice. The second container, on the other hand, holds a solution containing 40% orange juice and remaining is apple juice. Determine the quantities from each container that need to be combined to yield 15 liters of juice, maintaining a desired ratio of 4 parts orange juice to 7 parts apple juice. What volumes from each container should be mixed to achieve this harmonious blend?

Directions: The given question is followed by two statements I and II. You have to determine which of the statements is/are necessary/sufficient to answer the question. A bakery uses three types of ingredients in its special cake mixture: flour, sugar, and butter. By weight, the mixture was a% flour, b% sugar, and c% butter. If exactly 2 kilograms of flour and 4 kilograms of butter were used, how many kilograms of sugar were used? I. a = b II. c = 50

Rahul owns a grocery store and decides to stock up on different types of rice. The cost of 5 kg of Basmati rice is the same as that of 8 kg of Sona Masoori rice or 10 kg of Jasmine rice. Rahul plans to sell the mixture of rice at a price that ensures a profit of Rs. 1,776. He sells 50 kg of the mixture at the marked price and the remaining at a 20% discount on the marked price, thereby making a total profit of Rs. 240.8. If the total cost of the rice purchased by Rahul is Rs. 7,800 and the ratio of the quantities of Basmati rice to Sona Masoori rice to Jasmine rice is 3 : 4 : 2, then what is the marked price of the mixture?