Math questions from any Manhattan Prep GMAT Computer Adaptive Test.
shweezy
 
 

Apples and oranges

by shweezy Sun Jan 06, 2008 3:31 pm

Here's the question:

"A number of apples and oranges are to be distributed evenly among a number of baskets. Each basket will contain at least one of each type of fruit. If there are 20 oranges to be distributed, what is the minimum number of apples needed so that every basket contains less than twice as many apples as oranges?
(1) If the number of baskets were halved and all other conditions remained the same, there would be twice as many oranges in every remaining basket.
(2) If the number of oranges were halved, it would no longer be possible to place an orange in every basket."

What exactly does the statement "every basket contains less than twice as many apples as oranges" mean? I've read through the solution, but I'm still confused on what this means exactly. Does it mean that the number of oranges (e.g. 2) has to be less than twice the number of apples (e.g. >4)?

NOTE: there was a previous post on this topic, but since the OP did not have any specific questions only the pre-written answer was posted as a response.
StaceyKoprince
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by StaceyKoprince Mon Jan 07, 2008 5:16 pm

Feel free to post again if you have new questions about a problem that has already been posted! In future, though, please post your new question in the same thread as the original problem - it's easier for future users if we keep stuff together as much as possible.

That is a confusing sentence - isn't the test great? So, when reading something like this, first strip out the confusing part, which in this case is the "less than." The basket contains twice as many apples as oranges. That would mean something like 8 apples and 4 oranges. Now throw in the "less than twice as many" - now it means that, if there are four oranges, there are at most 7 apples, but there could be fewer than 7. Alternatively, if I know there are 8 apples, then I have to have at least 5 oranges, because 4 oranges would make the statement false.

Definitely confusing!
Stacey Koprince
Instructor
Director, Content & Curriculum
ManhattanPrep