Alligation & Mixtures : Alligation & Mixtures
Learning Objectives : * Concepts of Mixtures
* Dilution by mixing repeatedly.
* Application of Alligation in
other concepts.
* Some Actual CAT questions. Learning Objectives
Ques.1: On mixing two classes of students having average marks 25 & 40 marks respectively, the overall average obtained is 30 marks. Find the ratio of no. of students in the classes. : Ques.1: On mixing two classes of students having average marks 25 & 40 marks respectively, the overall average obtained is 30 marks. Find the ratio of no. of students in the classes.
Slide 4 : Answer is 2 : 1.
Ques.2: If the density of water, petrol and kerosene are in the ratio of 10:7:11, then in a kg of each of the three liquids, which one weighs more than the other two? : Ques.2: If the density of water, petrol and kerosene are in the ratio of 10:7:11, then in a kg of each of the three liquids, which one weighs more than the other two?
Slide 6 : A kg. of anything weighs the same
Ques.3: The budget for lassi is Rs. 2 per glass of 300 ml. If Dahi costs Rs. 20/kg, in what ratio do you have to mix dahi with water to make lassi within your budget? (Consider 1gm = 1 ml; sugar, salt & water r free) : Ques.3: The budget for lassi is Rs. 2 per glass of 300 ml. If Dahi costs Rs. 20/kg, in what ratio do you have to mix dahi with water to make lassi within your budget? (Consider 1gm = 1 ml; sugar, salt & water r free)
Slide 8 : Answer
is 1 : 2
Ques.4: Milk and water in tea are in the ratio 3:2. You have just put in 10 cups of this mixture on the gas, when more guests come in. Knowing that tea below ratio 1:1 does not taste good, what is the maximum cups of water you can add to the mixture on the gas? : Ques.4: Milk and water in tea are in the ratio 3:2. You have just put in 10 cups of this mixture on the gas, when more guests come in. Knowing that tea below ratio 1:1 does not taste good, what is the maximum cups of water you can add to the mixture on the gas?
Slide 10 : Answer
is 2 cups.
Ques.5: In a 3 liter mixture of alcohol and water the ratio of alcohol to water is 7 : 3. To make the ratio 3 : 7, how many liters of water should be added? : Ques.5: In a 3 liter mixture of alcohol and water the ratio of alcohol to water is 7 : 3. To make the ratio 3 : 7, how many liters of water should be added?
Slide 12 : Answer
is 4 litres
Ques.6: A grocer buys two kinds of rice at Rs.1.8/kg and Rs.1.2/kg. In what proportion should they be mixed so that by selling the mixture at Rs.1.75 /kg, he will gain 25%? : Ques.6: A grocer buys two kinds of rice at Rs.1.8/kg and Rs.1.2/kg. In what proportion should they be mixed so that by selling the mixture at Rs.1.75 /kg, he will gain 25%?
Slide 14 : Answer
is 1 : 2.
Ques.7: From a barrel with 500ml of alcohol, 3 cups of alcohol are poured into another containing 500 ml of water. After mixing, 3 cups of the mixture are poured into the barrel of alcohol. Of the % of water in barrel of alcohol & the % of the alcohol in barrel of water, which is more (CAT)? : Ques.7: From a barrel with 500ml of alcohol, 3 cups of alcohol are poured into another containing 500 ml of water. After mixing, 3 cups of the mixture are poured into the barrel of alcohol. Of the % of water in barrel of alcohol & the % of the alcohol in barrel of water, which is more (CAT)?
Slide 16 : It will always be same.
Ques.8: 8 liters are drawn off from a vessel full of water & substituted by pure milk. Again 8 liters of the mixture are drawn off & substituted by pure milk. If the vessel now contains water & milk in the ratio 9:40, find the capacity of the vessel. (CAT) : Ques.8: 8 liters are drawn off from a vessel full of water & substituted by pure milk. Again 8 liters of the mixture are drawn off & substituted by pure milk. If the vessel now contains water & milk in the ratio 9:40, find the capacity of the vessel. (CAT)
Slide 18 : Answer
is 14 litres
Ques.9: The volume of a substance A is half the sum of the volumes of substances B & C, and the volume of substance B is one fifth of the sum of the volumes of A & C. Find the ratio of the volume of C to the sum of the volumes of A & B.(CAT 2003). : Ques.9: The volume of a substance A is half the sum of the volumes of substances B & C, and the volume of substance B is one fifth of the sum of the volumes of A & C. Find the ratio of the volume of C to the sum of the volumes of A & B.(CAT 2003).
Slide 20 : Answer
is 1 : 1