Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 29 May 2017, 07:51

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# m10 #22

Author Message
Manager
Joined: 08 Sep 2011
Posts: 71
Concentration: Finance, Strategy
Followers: 3

Kudos [?]: 2 [0], given: 5

### Show Tags

19 Apr 2012, 06:07
Easy C. just have to approx both top and bottom and see that it will be slightly less than 1.

What level are the daily gmat questions? It says from the GMAT club tests hardest questions but all the quantitative ones seem pretty easy.
Manager
Status: Married
Joined: 30 Oct 2010
Posts: 65
Location: India
Concentration: Marketing, Finance
GMAT 1: 710 Q49 V38
GPA: 2.9
WE: Information Technology (Computer Software)
Followers: 2

Kudos [?]: 15 [1] , given: 40

### Show Tags

19 Apr 2012, 10:38
1
KUDOS

Split the 998 and 1002 as 1000-2 and 1000+2 .

Hey, dont we have the GMAT club Timer available here?

_________________

KUDOS-ing does'nt cost you anything, but might just make someone's day!!!

"Musings of a Muddled Muggle Mind"
http://felinesmile.blogspot.in/

Manager
Joined: 27 Oct 2011
Posts: 187
Location: United States
Concentration: Finance, Strategy
GPA: 3.7
WE: Account Management (Consumer Products)
Followers: 5

Kudos [?]: 172 [0], given: 4

### Show Tags

19 Apr 2012, 13:31
answer C. This is less than 1 and the numerator is very close to the denominator.
_________________

DETERMINED TO BREAK 700!!!

Intern
Joined: 27 Oct 2011
Posts: 13
Schools: Cambridge
Followers: 0

Kudos [?]: 23 [0], given: 5

### Show Tags

20 Apr 2012, 03:28
x-1/x reaches to .5 for x=2;to .9 for x=10 ;to .95 for x=20.

so 24.93/25.07 > 24.93/25.93 >.95

C.
Intern
Joined: 19 Apr 2012
Posts: 3
Followers: 0

Kudos [?]: 1 [0], given: 0

### Show Tags

21 Apr 2012, 03:30
(998/1002) * 0,02 = 19.96/20.04 which is 9.98 /10.02
The numbers that we add in both parts are 4.97/5.03 which is equal to 9.94/10.06

It is certain that we can not reach the ratio 1, because you increase upper part less than below part .So it is imposible to reach the ratio 1.
In order to reach 1 you have to increase upper part more than below part.
The ratio between than have to be [(19.96/20.04),(4.97/5.03)]

In general it is certain that (a+b)/(c+d) , the ratio will be between [a/c , b/d] and will be closer the ratio which's number are bigger.
Math Expert
Joined: 02 Sep 2009
Posts: 39050
Followers: 7753

Kudos [?]: 106539 [0], given: 11628

### Show Tags

22 Apr 2013, 07:44
Which of the following is closest to $$\frac{(998*0.02 + 4.97)}{(1002*0.02 + 5.03)}$$ ?

A. 0.50
B. 0.89
C. 0.98
D. 1.02
E. 1.05

Notice that the numerator is slightly less than the denominator: $$\frac{(998*0.02 + 4.97)}{(1002*0.02 + 5.03)}\approx{\frac{20+4.97}{20+5.03}}$$, thus the fraction will be less, but very close to 1.

_________________
Intern
Joined: 14 Apr 2013
Posts: 11
Location: United States
Concentration: Operations, Technology
WE: Programming (Computer Software)
Followers: 0

Kudos [?]: 15 [0], given: 1

### Show Tags

22 Apr 2013, 19:51
After increasing the numerator i.e (1000*0.02 + 5) and decreasing the denominator i.e (1000*0.02 + 5), the resulting fraction is 1. Thus the answer should be 0.98.
_________________

Regards,
Fugitive

Intern
Status: Rotterdam Erasmus; McGill Desautels UBC Sauder - Admitted
Joined: 28 May 2011
Posts: 27
Followers: 0

Kudos [?]: 6 [0], given: 34

### Show Tags

23 Apr 2013, 06:05
GMAT TIGER wrote:
tejal777 wrote:
Which of the following is closest to $$\frac{(998*0.02 + 4.97)}{(1002*0.02 + 5.03)}$$ ?

(C) 2008 GMAT Club - m10#22

* 0.50
* 0.89
* 0.98
* 1.02
* 1.05

The OE is not clear..i did it without rounding it off and not getting the answer:(

Let’s use some logic..

By observation, numerator is very close too denominator.

D/E are out as numerator cannot be > denominator.
A is also out because numerator is substantially > 1/2(denominator).
B is equivalent to 90% i.e. numerator < 90% (denominator) where as .

So left with C.

Alternatively:

= $$\frac{(998*0.02 + 4.97)}{(1002*0.02 + 5.03)}$$
= $$\frac{(1000 - 2) *0.02 + 4.97)}{(1000+2)*0.02 + 5.03)}$$
= $$\frac{(20 - 0.04) + 4.97)}{(20 + 0.04) + 5.03)}$$
= $$\frac{(19.96 + 4.97)}{(20.04) + 5.03)}$$
= $$\frac{(24.93)}{(25.07)}$$
= equivalent to 1 but < 1, which is 0.98....

In 30 second, it is known that OA is C....

Almost did it in similar fashion but with less computation i guess....

= $$\frac{(998*0.02 + 4.97)}{(1002*0.02 + 5.03)}$$
= $$\frac{(1000 - 2) *0.02 + (5 - .03)}{(1000+2)*0.02 + (5 + .03)]}$$

Now Let 1000 be replaced with 'X' and 5 with 'Y', then the resultant fraction is:

= $$\frac{(X - 0.04) + (Y - .03)}{(20 + 0.04) + 5.03)}$$
= $$\frac{(X + Y - .07)}{(X + Y + .07)}$$
= 1 - $$\frac{(.21)}{(X + Y + .07)}$$
= 1 - ~.0001 => 0.9998

So the closest value is 0.98...
_________________

-- Because beauty Lies in the Eyes.. So donate those eyes

KUDOS if like the post ...

Intern
Joined: 22 Mar 2013
Posts: 22
Concentration: Operations, Entrepreneurship
GMAT 1: 620 Q47 V28
GMAT 2: 680 Q45 V38
WE: Engineering (Manufacturing)
Followers: 0

Kudos [?]: 11 [0], given: 6

### Show Tags

23 Apr 2013, 09:18
Which of the following is closest to ?

(C) 2008 GMAT Club - m10#22

* 0.50
* 0.89
* 0.98
* 1.02
* 1.05

{(998 x 0.02) + 4.97}/{(1002 x 0.02) + 5.03} can approximately be written as {(1000 x 0.02) + 5}/{(1000 x 0.02) + 5} keeping in mind that we increased the numerator overall and decreased the denominator overall, thereby increasing the value of the fraction.

However, after having done so, the value of the fraction becomes 1. We know the original fraction is close to 1. We have two options 1.02 and 0.98. We also know that while rewriting the fraction, we increased its value from the original, therefore the original has to be less than 1. So, I go with C.
Re: m10 #22   [#permalink] 23 Apr 2013, 09:18

Go to page   Previous    1   2   [ 29 posts ]

Similar topics Replies Last post
Similar
Topics:
M10 - #8 2 02 Sep 2009, 23:12
5 m10 q18 16 04 Apr 2014, 05:17
28 M10 Q35 29 24 Jul 2014, 04:30
27 m10 Q13 18 21 Apr 2014, 09:43
20 M10 #04 10 20 Dec 2012, 15:11
Display posts from previous: Sort by

# m10 #22

Moderator: Bunuel

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.