NEW HERE? LEARN MORE
closeclose
Last visit was: 07 May 2024, 22:14 It is currently 07 May 2024, 22:14
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

[#48] 2 Min. Challenge: Fractions

User avatar
Praetorian
CEO
CEO
Joined: 15 Aug 2003
Posts: 2876
Own Kudos [?]: 1649 [0]
Given Kudos: 781
Send PM
[#48] 2 Min. Challenge: Fractions [#permalink] New post   13 May 2004, 08:19
cc
Level: Intermediate

Time yourself and Solve under 2 minutes.

Which of the five fractions is largest?

(A)
25038876541 / 25038876543
(B)
25038876543/ 25038876545
(C)
25038876545/ 25038876547
(D)
25038876547/ 25038876549
(E)
25038876549/ 25038876551



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
anandnk
Director
Director
Joined: 30 Oct 2003
Posts: 899
Own Kudos [?]: 374 [0]
Given Kudos: 0
Location: NewJersey USA
Send PM
Re: [#48] 2 Min. Challenge: Fractions [#permalink] New post   13 May 2004, 08:38
E for me as well but I will hold the explanation till others attempt
User avatar
hallelujah1234
Manager
Manager
Joined: 02 Mar 2004
Posts: 191
Own Kudos [?]: 14 [0]
Given Kudos: 0
Location: There
Send PM
Re: [#48] 2 Min. Challenge: Fractions [#permalink] New post   13 May 2004, 08:53
x/(x+2) (x+2)/(x+4) (x+4)/(x+6) (x+6)/(x+8) (x+8)/(x+10)

Substract 1.

-2/(x+2) -2/(x+4) -2/(x+6) -2/(x+8) -2/(x+10)

As x is positive, -2/(x+10) is closer to Zero than any others; hence the answer is E
User avatar
anandnk
Director
Director
Joined: 30 Oct 2003
Posts: 899
Own Kudos [?]: 374 [0]
Given Kudos: 0
Location: NewJersey USA
Send PM
Re: [#48] 2 Min. Challenge: Fractions [#permalink] New post   13 May 2004, 09:04
(A)
25038876541 / 25038876543 = 1 - 2 / 25038876543
(B)
25038876543/ 25038876545 = 1 - 2 / 25038876545
(C)
25038876545/ 25038876547 = 1 - 2 / 25038876547
(D)
25038876547/ 25038876549 = 1 - 2 / 25038876549
(E)
25038876549/ 25038876551 = 1 - 2 / 25038876551

2 / 25038876551 is smallest fraction
Hence 1 - 2 / 25038876551 is biggest
User avatar
sofere
Intern
Intern
Joined: 30 Apr 2004
Posts: 37
Own Kudos [?]: 2 [0]
Given Kudos: 0
Location: NYC
Send PM
Re: [#48] 2 Min. Challenge: Fractions [#permalink] New post   13 May 2004, 14:27
Praetorian wrote:
cc
Level: Intermediate

Time yourself and Solve under 2 minutes.

Which of the five fractions is largest?

(A)
25038876541 / 25038876543
(B)
25038876543/ 25038876545
(C)
25038876545/ 25038876547
(D)
25038876547/ 25038876549
(E)
25038876549/ 25038876551


Answer is E, I'm pretty sure my explanation is correct...but feel free to point out any mistakes.

For any fraction, if you add the same number to the numerator and the denominator, the fraction gets larger (i.e. 1/2 < (1 + 1)/(2 + 1) < (1+1+1)/(2+1+1) or 1/2 < 2/3 < 3/4)

in this case your simply adding 2 to the numerator and denominator in each case

For simplicity sake
Let 25038876541 = x
Let 25038876543 = y

(1) x/y
(2) (x+2)/(y+2)
(3) (x+4)/(y+4)
(4) (x+6)/(y+6)
(5) (x+8)/(y+8)

The one that adds the most to both the numerator and the denominator equally is the largest, therfore E is the largest.
User avatar
Praetorian
CEO
CEO
Joined: 15 Aug 2003
Posts: 2876
Own Kudos [?]: 1649 [0]
Given Kudos: 781
Send PM
Re: [#48] 2 Min. Challenge: Fractions [#permalink] New post   15 May 2004, 04:50
Indeed, the answer is E.



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
gmatclubot
Re: [#48] 2 Min. Challenge: Fractions [#permalink]
15 May 2004, 04:50
Moderator:
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions