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I am looking for PS questions that test the concept of multiple ratios

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I am looking for PS questions that test the concept of multiple ratios  [#permalink]

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New post 28 Dec 2018, 12:26
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An example of such a question would be:

In a box containing action figures of the three Fates from Greek mythology, there are three figures of Clotho for every two figures of Atropos, and five figures of Clotho for every four figures of Lachesis.

a) What is the least number of action figures that could be in the box?
b) What is the ratio of Lachesis figures to Atropos figures?

Could anybody be so kind enough to link me to these types of questions? I would really like to practice them.
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Re: I am looking for PS questions that test the concept of multiple ratios  [#permalink]

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New post 29 Dec 2018, 06:47
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I would say that such questions are 600 level Ratio & Proportion questions. You'd find several of such questions in the GMAT Club Tests Quizzes. Bunuel has posted several such questions in the forum as well; please browse though the Ratio & Proportion questions.

Solution to your question
Quickly convert the statements into proportions.
According to the question, there are three figures of Clotho for every two figures of Atropos, and five figures of Clotho for every four figures of Lachesis
Clotho/Atropos = 3/2 & Clotho/Lachesis = 5/4
So, Clotho: Atropos: Lachesis = 15: 10: 12
Therefore, the number of figures of Clotho, Atropos, and Lachesis is 15x, 10x, and 12x, where x is any positive integer.

a) What is the least number of action figures that could be in the box?
Answer: Least number of action figures is present when x=1; hence 15x + 10x + 12x = 37x = 37, when x=1

b) What is the ratio of Lachesis figures to Atropos figures?
Answer: Ratio of Lachesis figures to Atropos figures = 12:10 = 6:5
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Re: I am looking for PS questions that test the concept of multiple ratios   [#permalink] 29 Dec 2018, 06:47
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I am looking for PS questions that test the concept of multiple ratios

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