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Which of the following fractions has the greatest value?

a) [3][/8!]

b) [6(4!)][/5(9!)]

c) [4(3!)][/9!]

d) [3][/5(7!)]

e) [14][/5(8!)]

I'm having some difficulties solving this one. Can someone help me!

convert the fractions to some common factor

a)[3/8!]=k*(3/8)

b) [6(4!)][/5(9!)]=k*(4!/60)

c) [4(3!)][/9!]=k*{(4*3!)/72}

d) [3][/5(7!)]=k*(3/5)

e) [14][/5(8!)]=k*(14/40)

where k =(1/7!) it is easy to solve it now..clearly D has the maximum value
_________________

--------------------------------------------------------------------------------------- If you think you can,you can If you think you can't,you are right.

Which of the following fractions has the greatest value?

A. 3/8!

B. 6(4!) / 5(9!)

C. 4(3!) / 9!

D. 3 / 5(7!)

E. 14 / 5(8!)

Where do I start? I can't see any similarities to narrow the down the answer.

My Approach:

Check the lowest denominator u could take common. It's 7!

A = 3/8 * 1/7! B = 2/5 * 1/7! C = 1/3 * 1/7! D = 3/5 * 1/7! E = 7/20 * 1/7! [corrected this!]

Now compare - 3/8, 2/5, 1/3, 3/5, 7/20. Largest is 3/5... Hence D
_________________

Cheers! JT........... If u like my post..... payback in Kudos!!

|Do not post questions with OA|Please underline your SC questions while posting|Try posting the explanation along with your answer choice| |For CR refer Powerscore CR Bible|For SC refer Manhattan SC Guide|

~~Better Burn Out... Than Fade Away~~

Last edited by jeeteshsingh on 19 Apr 2010, 10:38, edited 2 times in total.

Which of the following fractions has the greatest value?

A. 3/8!

B. 6(4!) / 5(9!)

C. 4(3!) / 9!

D. 3 / 5(7!)

E. 14 / 5(8!)

Where do I start? I can't see any similarities to narrow the down the answer.

My Approach:

Check the lowest denominator u could take common. It's 7!

A = 3/8 * 1/7! B = 2/5 * 1/7! C = 1/3 * 1/7! D = 3/5 * 1/7! E = 1/20 * 1/7!

Now compare - 3/8, 2/5, 1/3, 3/5, 1/20. Largest is 3/5... Hence D

jeeteshsingh , your approach was very smart and simple! i found i was calculating value of each and every option.. which was very time consuming.. Kudos to u for this..
_________________

Working without expecting fruit helps in mastering the art of doing fault-free action !

Which of the following fractions has the greatest value?

A. 3/8! B. 6(4!) / 5(9!) C. 4(3!) / 9! D. 3 / 5(7!) E. 14 / 5(8!)

Check the lowest denominator u could take common. It's 7!

A = 3/8 * 1/7! B = 2/5 * 1/7! C = 1/3 * 1/7! D = 3/5 * 1/7! E = 1/20 * 1/7!

How did you convert the second fraction (as well as the 3rd and the 4th and the 5th) for example how did 6(4!)/5(9!) became 2/5???

I haven't converted anything. I have reduced the fractions after taking out 7! common in the denominator.

E.g.: \(\frac{6(4!)}{5(9!)}=\frac{6*24}{5*9*8*7!}=\frac{2}{5*7!}\) Similarly the others..... Hope this helps.

By the way I corrected the E value in my post too. Please have a look again!
_________________

Cheers! JT........... If u like my post..... payback in Kudos!!

|Do not post questions with OA|Please underline your SC questions while posting|Try posting the explanation along with your answer choice| |For CR refer Powerscore CR Bible|For SC refer Manhattan SC Guide|

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Re: Which of the following fractions has the greatest value? [#permalink]

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19 Mar 2015, 14:29

Hello from the GMAT Club BumpBot!

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Re: Which of the following fractions has the greatest value? [#permalink]

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09 May 2016, 06:51

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Which of the following fractions has the greatest value? [#permalink]

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11 Nov 2016, 12:03

What we can do here is we can make 8! as the common denominator and then compare the fractions w.r.t their numerators. numerators after making 8! as the common denominator => 3 3.2 2.something 4.something 2.8

Clearly D will the greatest fraction.
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