Math questions from any Manhattan Prep GMAT Computer Adaptive Test.
punzo
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Which of the following fractions has the greatest value?

by punzo Fri Mar 05, 2010 2:15 am

Which of the following fractions has the greatest value?

3/8!

6(4!)/5(9!)

4(3!)/9!

3/5(7!)


How to approach this question. Can someone explain it.
cyapt81
 
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Joined: Fri Aug 10, 2007 3:19 am
 

Re: Which of the following fractions has the greatest value?

by cyapt81 Sat Mar 20, 2010 6:43 pm

Since two of the answer choices have 9! in the denominator, try to get all of the denominators to be in terms of 9!(5) by multiplying top and bottom of each fraction:

3/8! = (9)(3)(5)/(8!)(9)(5) = 135/9!(5)

6(4!)/5(9!) = (4!)(6)/(5)(9!) = 144/9!(5)

4(3!)/9! = 4(3!)(5)/(5)9! = 120/9!(5)

3/5(7!) = (3)(8)(9)/5(8)(9)(7!) = 216/9!(5)

Answer is the fourth choice 3/5(7!)
Ben Ku
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Re: Which of the following fractions has the greatest value?

by Ben Ku Tue Mar 30, 2010 7:51 pm

Ben Ku
Instructor
ManhattanGMAT