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As a bicycle salesperson, Norman earns a fixed salary of $20

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igordudchenko
 Post subject: As a bicycle salesperson, Norman earns a fixed salary of $20
 Post Posted: Sun Dec 19, 2010 10:32 am 
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Students


Posts: 23
Location: Turkey
Ok, the answer choices II and III are obvious, but your explanation reg. the choice I assumes the testing of numbers 'let's say X is 4...'. Is there any shortcut which allows to test the answer choice I?
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As a bicycle salesperson, Norman earns a fixed salary of $20 per week plus $6 per bicycle for the first six bicycles he sells, $12 per bicycle for the next six bicycles he sells, and $18 per bicycle for every bicycle sold after the first 12. This week, Norman earned more than twice as much as he did last week. If he sold x bicycles last week and y bicycles this week, which of the following statements must be true?

I. y > 2x

II. y > x

III. y > 3
+++
OA: II and III
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jnelson0612
 Post subject: Re: As a bicycle salesperson, Norman earns a fixed salary of $20
 Post Posted: Sun Dec 26, 2010 10:16 am 
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ManhattanGMAT Staff


Posts: 1857
igordudchenko wrote:
Ok, the answer choices II and III are obvious, but your explanation reg. the choice I assumes the testing of numbers 'let's say X is 4...'. Is there any shortcut which allows to test the answer choice I?


igor, to me, number testing is the shortcut. Upon seeing this problem, I would immediately put together a chart with the number of bicycles sold and the corresponding pay, from 0 sold to 10 sold. It would take me about twenty seconds to write this chart. At the point I could see that I is not necessarily true, but that II and III must be true.

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Jamie Nelson
ManhattanGMAT Instructor
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