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Average 1 - Alligation & Replacement || QA || CAT 2021 || 2 April

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Question 1

A milk solution containing 70% milk is mixed with another milk solution having x% water in the ratio 2 : 1. One-sixth of the resultant solution is replaced by water and the final solution now contain equal amount of milk and water. Then, the value of x is

Question 2

Dick is thrice as old as Tom and Harry is twice as old as Dick. If Dick’s age is 1 year less than the average age of all three, then Harry’s age, in years, is

Question 3

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

Question 4

The average age of A, B and C is 25 years. Three years ago, the age of B was double the age of C who is the youngest among A, B and C . If the ages of A, B and C are natural numbers, then the minimum possible age of A (in years) is

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Question 5

In a locality 10 families were asked to contribute 5-5 litre pure milk for an event. Out of the 10 families, 4 families gave milk mixed with water in 4: 1 ratio; 3 gave pure milk and rest of the 3 families (=10 – 4 – 3) gave just 3 litre milk water mixture in the ratio of 3: 1 each. Coordinator realised that people have not given pure milk and the milk mixture received is of thin quality so decided to replace 1/4th of the mixture obtained with pure milk. The concentration of pure milk in the final mixture is

Question 6

Consider a sequence of seven consecutive integers. The average of the first five integers is n. The average of all the seven integers is:

Question 7

Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?

Question 8

Average weight of three men, A, B, C and D is 84 kg. Another man E joins the group and the avg now becomes 80 kg. If another man E whose weight is 3 kg more than that of D, replaces A, then the avg of B, C, D, E becomes 79 kg. Weight of A is?

Question 9

k% acid solution is mixed with (k – 10)% acid solution in the ratio 3 : 2 to obtain 66% acid solution. In what proportion (k – 5)% acid solution should be mixed with (k + 8)% acid solution to get 70% acid solution.

Question 10

Two drums one having 15 litre Solution with A: B = 4:1 and another one having 12 litre Solution with A: B = 1:3 are mixed. What will be the concentration of B in the mixture?
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