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Alligation & Mixtures · Question 79 of 88

Question 79

MediumOriginal question

A barrel holds 60 litres of wine. 6 litres are taken out and replaced with water, and this is done twice in all. How much wine is left?

Options for question 79

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Each replacement keeps 1−660=9101 - \frac{6}{60} = \frac{9}{10} of the wine.

  2. After 2 times: 60(910)2=243560\left(\frac{9}{10}\right)^{2} = \frac{243}{5} litres.

Worth noting

48 litres takes out 6 litres of pure wine every time; after the first, each draw is part water.

Concept
What is left after replacement
Typical time
90 s
Your time
—
The rule this testsRepeated replacement
Practise this chapter →

Ten questions from Alligation & Mixtures, at your own pace.

Practise this chapter →

Ten questions from Alligation & Mixtures, at your own pace.