It is currently 17 Oct 2017, 12:17

### 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

# Which of the following is closest to the value of 999/(100+1/999)?

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 11 Nov 2014
Posts: 363

Kudos [?]: 47 [0], given: 17

Location: India
WE: Project Management (Telecommunications)
Which of the following is closest to the value of 999/(100+1/999)? [#permalink]

### Show Tags

26 Jan 2016, 10:30
2
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

83% (00:36) correct 17% (00:40) wrong based on 156 sessions

### HideShow timer Statistics

Which of the following is closest to the value of $$\frac{999}{100+1/999}$$?

a. 10
b. 1
c. 0.1
d. 0.01
e. 0.001
[Reveal] Spoiler: OA

Last edited by Bunuel on 26 Jan 2016, 10:32, edited 1 time in total.
RENAMED THE TOPIC.

Kudos [?]: 47 [0], given: 17

Manager
Joined: 09 Jul 2013
Posts: 110

Kudos [?]: 98 [1], given: 6

Re: Which of the following is closest to the value of 999/(100+1/999)? [#permalink]

### Show Tags

26 Jan 2016, 12:53
1
KUDOS
Good exercise in approximation.

We can approximate the numerator to be 1000.
For the denominator, 1/999 is MUCH less than 100, so we can disregard it completely. (1/999 = 0.001001..., so 100.001 ≈ 100)
The expression now becomes 1000/100 = 10

_________________

Dave de Koos

Kudos [?]: 98 [1], given: 6

SVP
Joined: 12 Sep 2015
Posts: 1793

Kudos [?]: 2445 [0], given: 356

Re: Which of the following is closest to the value of 999/(100+1/999)? [#permalink]

### Show Tags

26 Jan 2016, 13:09
Expert's post
1
This post was
BOOKMARKED
paidlukkha wrote:
Which of the following is closest to the value of $$\frac{999}{100+1/999}$$?

a. 10
b. 1
c. 0.1
d. 0.01
e. 0.001

As with all math questions, ALWAYS CHECK THE ANSWER CHOICES BEFORE STARTING YOUR SOLUTION.
For more on this, see our free video: http://www.gmatprepnow.com/module/gener ... video/1111

Here the answer choices are well spread apart, which means we can use some AGGRESSIVE estimation:
999/(100 + 1/999) ≈ 1000/(100)
≈ 10

Cheers,
Brent
_________________

Brent Hanneson – Founder of gmatprepnow.com

Kudos [?]: 2445 [0], given: 356

Intern
Joined: 25 Aug 2017
Posts: 20

Kudos [?]: 6 [0], given: 20

Re: Which of the following is closest to the value of 999/(100+1/999)? [#permalink]

### Show Tags

12 Oct 2017, 14:09
Is there a way to solve this using the (a+b)(a-b) construction? I've seen problems similar to this in the past where you used the sum of perfect squares strategy. Or is approximation the best way to solve since we don't need to solve for an exact number?

Kudos [?]: 6 [0], given: 20

Re: Which of the following is closest to the value of 999/(100+1/999)?   [#permalink] 12 Oct 2017, 14:09
Display posts from previous: Sort by