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Mixtures and Alligations - Quant/Math - CAT 2009
Question 4 the day:
November 14, 2003
The question for the day is from the topic of Mixtures and Alligations.
- From a cask of milk containing 30 litres, 6 litres are drawn out and the cask is filled up with water. If the same process is repeated a second, then a third time, what will be the number of litres of milk left in the cask?
| (1) |
0.512 liters |
| |
(2) |
12 liters |
| (3) |
14.38 liters |
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(4) |
15.36 liters |
Correct Answer - (4)
Solution:
The problem can be solved by traditional method but it is cumbersome process to do that. The problem is simple if its solution is simpler. Hence we will go for a simpler solution for this kind of problem.
There is a short cut method to find the Quantity of milk left after nth operation
It is given by [(x – y)/x]n of the whole quantity, where x is initial quantity of milk in the cask
y is the quantity of milk withdrawn in each process and n is the number of process.
Hence from the above rule it can be say that
Quantity of milk left after the 3rd operation = [(30 – 6)/30]3 * 30 = 15.36 liters.
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