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A number of oranges are to be distributed evenly among a

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by swerve » Thu Apr 18, 2019 12:41 pm

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Difficulty—

A number of oranges are to be distributed evenly among a number of baskets. Each basket will contain at least one orange. If there are 20 oranges to be distributed, what is the number of oranges per basket?

1) If the number of baskets was halved and all other conditions remained the same, there would be twice as many oranges in every remaining basket.
2) If the number of baskets was doubled, it would no longer be possible to place at least one orange in every basket.

The OA is B

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by Ian Stewart » Thu Apr 18, 2019 5:34 pm
Statement 1 is automatically true, so it really only tells us that it is possible to divide the number of baskets by 2. But we might have 2 baskets with 10 oranges each, or 20 baskets with 1 orange each, for example, so that information is not sufficient.

If Statement 2 is true, then when we double the number of baskets, we must get a number greater than 20. Since the number of baskets also needs to be a divisor of 20 (for it to be possible to distribute 20 oranges evenly among the baskets) the only possibility is that we have exactly 20 baskets, with one orange in each.
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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