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Alligation & Mixtures · Question 11 of 88

Question 11

MediumOriginal question

Which of the following statements are true?

I. The mean price of a mixture lies between the lowest and highest prices mixed.

II. When equal quantities are mixed, the mean price is the simple average of the prices.

III. When equal amounts of money are spent on each kind, the mean price is the simple average of the prices.

IV. Adding water to milk lowers the cost of a litre of the mixture.

Options for question 11

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. I: a weighted mean never leaves the range of what is averaged. II: equal weights give the simple average. IV: water adds litres but no cost.

  2. III is false: equal money buys more of the cheaper kind, so the mean falls below the simple average.

Concept
Facts about mean prices
Typical time
120 s
Your time
—
The rule this testsThe mean price of a mixture
Practise this chapter →

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

Practise this chapter →

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