The questions on Mixtures and Alligations are asked repeatedly in CAT and keeping the past year trends in mind, one or two questions are asked every year. We have seen the concept used in some of the Data Interpretation questions as well, so this cannot be overlooked. Let us begin with the subject matter on this topic. When we have to find the average of a given set of values, we just add those values and divide by the number of values in consideration.
But what do we do when we have to find the average of 2 given sets of values, each containing different number of elements? We use alligation method, which is a simplified technique to solve the complex average problems. Generally, in competitive exams like CAT or XAT , the problems are not asked directly from these concepts, rather the techniques involved are applied for high difficulty level problems of CAT.
Average weight of 60 girls is 15 kg and average weight of 40 boys is 30 kg. Find the average weight of the group in which boys and girls are taken together. In the alligation chart above, x is the required average of the whole group. The individual average values have been written on the top, required average in the middle and the number of elements in both the groups at the base, correspondingly. Take the difference of the top and middle values and equate it with the base value as the line indicates.
Average Boat And Stream Cat Level Questions Network weight of boys is 30kg and average weight of girls is 15kg. The average weight of whole group, boys and girls taken together, is 21 kg. Find the ratio of number of girls and boys. What is Boat And Stream Questions High Level Notes the average price of the mixture? A car travels at 20kmph for 30 minutes and at 10 kmph for 45 minutes. Find the average speed of the car for entire journey. Note that we are using the same values as in the above example. NOTE � In the questions involving speed, we never use distance directly while applying alligation method.
Only speed and time are used. Speeds are always written at the top, average speed in the middle and time at the base. Amit covers km in 10 hours. What is the ratio of distances covered by bus and car? Applying alligation method. This means that both vehicles have travelled equal amount of time out of 10 hours i. So, the ratio is. A milkman has 30 litres of milk. He mixes 10 litres of water in that milk. What is his profit percentage, when he sells all the mixture at cost price.
Assume the water is free of cost. Sol: Water, which is free of cost, is being sold at the cost of milk, then the water gives profit on the cost of 30 litres of milk. In what ratio should water be mixed with the wine worth Rs. In questions involving such mixtures , select any particular component, say x, and find its proportion in each mixture, i. Let the quantity of each mixture needed to be mixed be a and b.
Then apply the alligation method by writing proportions on top, required proportion in the middle and corresponding quantities needed at the base.
Vessel A contains milk and water in the ratio Vessel B contains milk and water in the proportion Sol: For this question, we will consider the proportion of milk in each mixture. Product P is produced by mixing chemical X and chemical Y in the ratio of 5 : 4. Chemical X is prepared by mixing two raw materials, A and B, in the ratio of 1 : 3. Chemical Y is prepared by mixing raw materials, B and C, in the ratio of 2 : 1.
Then the final mixture is prepared by mixing units of product P with water. Sol: First, we need to find the proportion of B in Product P. It can be easily found as its proportion in chemical X and Y is given and proportion of X and Y in P is also given. P is produced by mixing chemical X and chemical Y in the ratio 5 : 4. In cases where a certain amount of an item A is being drawn out and being replaced by another item B and this process is repeated n times then,.
A container has 50 litres of milk in it. This process is repeated 4 more times. What is the amount of milk in the container after final replacement? NOTE: Above formula is valid for pure items as well as mixtures. But in case of mixtures, the component into consideration must be that which is getting reduced after replacement.
What is the total quantity of the mixture? What fraction of the first sugar solution was replaced with second sugar solution? So, the second and first solutions are in the ratio in the final mixture. To sum up, this topic is one of the scoring areas though the weight age is not that big as compared to other topics but, we should focus on scoring easy marks first. I hope you have got a gist of the topic and you can start practicing questions on Alligations and Mixtures.
Best of luck for your preparation. All questions from CAT Exam Quantitative Aptitude � Arithmetic Quantitative Aptitude � Arithmetic � Mixtures � Q1 : 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.
Quantitative Aptitude � Arithmetic � Mixtures � Q2 : 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. Enroll Now Rs. Your email address will not be published. This site uses Akismet to reduce spam. Learn how your comment data is processed. Simple mixtures: When 2 or more different ingredients are mixed together , a simple mixture is formed.
Ex: mixing of milk and water, mixing rice of 2 different prices. Compound mixtures: When 2 or more different mixtures are mixed together, a compound mixture is formed. Ex: Mixing 2 alloys containing Boats And Streams Questions And Answers Pdf Windows 2 or more types of metals in different proportion. Now, take the ratio of both equations. Suppose the question was framed a bit differently, as below. We would again apply the alligation method. Here a is the number of girls and b is the number of boys.
Now, we will see different formulae in mixture and alligations and their application. Sol: Let average price be x. Chemical X has A and B in the ratio 1 : 3.
Proportion of B in water is 0. Let units of water to be added be x. Sol: Let total quantity of mixture be T. We will consider milk as it is getting reduced. Questions similar to above questions can also be solved using alligation. Sol: Applying alligation method, So, the second and first solutions are in the ratio in the final mixture. If you Like this post then share it! Leave a Reply Cancel reply Your email address will not be published. Got a discount code? Close Proceed.
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