Mixtures and Alligation

A certain mixture of paint requires blue, yellow, and red paints in ratios of 2:3:1, respectively, and no other ingredients. If there are ample quantities of the blue and red paints available, is there enough of the yellow paint available to make the desired amount of the mixture? Exactly 20 quarts of the mixture are needed. Exactly 10 quarts of the yellow paint are available.

A certain painting job requires a mixture of yellow, green, and white paint. If 12 quarts of paint are needed for the job, how many quarts of green paint are needed? 1. The ratio of the amount of green paint to the amount of yellow and white paint combined needs to be 1 to 3. 2. The ratio of the amount of yellow paint to the amount of green paint needs to be 3 to 2.

A juice blend was made by mixing exactly three fruit juices: mango, orange, and pineapple. By volume, the mixture was composed of m% mango juice, o% orange juice, and p% pineapple juice. If exactly 2 liters of mango juice and 6 liters of pineapple juice were used, how many liters of orange juice were used? 1. m = o 2. p = 60

Directions: The item given below consists of a question and two statements, numbered I and II. You have to decide whether the data provided in the statements is sufficient to answer the question. Read both the statements and mark accordingly. There are X litres of pure milk in each of the jars A and B. What is the value of X? I. Ram took out 32 litres of milk from jar A and replaced it with equal quantity of water. He again took out 32 litres of new formed mixture of milk and water from same jar and replaced it with equal quantity of water. As a result, the respective ratio of milk and water in jar A became 16 : 9. II. Ram took out 20% of milk from jar B and added 72 litres of water. As a result, percentage of water in the mixture becomes 35%.

Directions: Answer the question independently. A scientist has a large supply of pure acid and water. He is equipped with two vessels, one of capacity 100 gallons and one of capacity 10 gallons, and with these he desires to attain a certain concentration of acid. He starts with 100 gallons of pure acid. He draws 10 gallons and replaces it with water. Then he draws 10 gallons of the mixture and replaces it with acid. Again he draws 10 gallons and replaces it with water, and finally he draws 10 gallons and replaces it with acid. What is the final concentration of acid?

A wholesaler purchased almonds and cashews, where the cost of almonds per kilogram was twice that of cashews per kilogram. Later, he made a 15% profit by selling 10 kilograms of cashews and a 25% profit by selling 12 kilograms of almonds to a retailer. Unfortunately, during transit, the retailer lost 3 kilograms of almonds and 2 kilograms of cashews. Subsequently, the retailer combined the remaining nuts and sold the mixture for Rs. 360 per kilogram, resulting in an overall profit of 20%. What was the approximate price per kilogram at which the wholesaler acquired the almonds?

From a container having pure milk in it, Sukhiram removed 𝑛% of it and replenished it with an equal amount of water. He repeated the process one more time after which, he observed that, the container using which he was removing the liquid actually accommodated (𝑛 + 5)% of the solution, owing to which, the ratio of the concentration of milk which he was supposed to get after performing the process twice to the concentration that he actually got was 256 : 225. What percentage of the solution, to the nearest integer, should he remove on the third attempt so as to obtain the desired concentration of milk that he had planned to achieve?

Directions: The following problem consists of a question and two statements labelled (I) and (II). You have to decide whether the data provided in the given statements is sufficient to answer the question. What is the quantity of milk in a 60-litre mixture of milk and water? I. The ratio of milk to water in the mixture is 3 : 1. II. If 30 litres of water is added to the mixture, the ratio of milk to water becomes 1 : 1.

Directions: In the following question, you have to find out the redundant statement(s) for determining the answer to the given question. A food processing unit sells a homogeneous mixture of low fat milk and high fat milk at the rate of Rs. 50 per kg. What is the profit earned by the unit? I. It buys low fat milk at the rate of Rs. 30 per kg. II. It buys per kg of high fat milk for Rs. 10 more than per kg of low fat milk. III. It buys high fat milk at the rate of Rs. 40 per kg.

A student was performing an experiment in Chemistry lab. He took two beakers X and Y, and put equal quantities of a strong acid and a weaker acid. The concentration of weaker acid is the same in both the containers X and Y. He then replaced 4 litres of solution from X with weaker acid and the concentration of weaker acid became twice what it was initially. If he then replaced 8 litres of solution from Y with weaker acid, then what was the ratio of increase in final concentration from initial concentration of weaker acid in solution Y to the initial concentration from of weaker acid in solution Y?

A milkman sells a homogeneous mixture of water and milk at a rate of Rs.80 per liter. Find the profit percentage of the milkman. एक दूधवाला पानी और दूध के मिश्रण को 40 रुपये प्रति लीटर की दर से बेचता है। दूधवाले का लाभ प्रतिशत ज्ञात कीजिये। Statement I: He bought milk at the rate of Rs.70 per liter. Statement II: He bought water at Rs.20 lower than the rate of milk per liter. Statement III: He sold mixture containing 15 liter more milk than water. कथन I: उसने दूध 35 रुपये प्रति लीटर की दर से ख़रीदा। कथन II: उसने पानी को दूध से 10 रुपये प्रति लीटर कम दर से खरीदा। कथन III: उसने जो मिश्रण बेचा उसमें दूध पानी की तुलना में 15 लीटर अधिक है।

A milk man mixes water with 10 litres of pure milk and sell the solution at the cost price of milk. How many litres of water did he mix? Statement I : The cost price of one litre pure milk is Rs. 40. Statement II : If he had added 2 litres water more, then his profit percentage would have been 40%. Statement III : He earns a total profit of 20%.