Find all School-related info fast with the new School-Specific MBA Forum

It is currently 28 Jun 2016, 13:54
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Between 1990 and 2000, the number of Americans aged 45 to 64

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Intern
Intern
avatar
Joined: 28 Jan 2013
Posts: 1
Followers: 0

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

GMAT ToolKit User
Between 1990 and 2000, the number of Americans aged 45 to 64 [#permalink]

Show Tags

New post 28 Jan 2013, 13:31
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

63% (02:51) correct 37% (01:29) wrong based on 109 sessions

HideShow timer Statistics

Between 1990 and 2000, the number of Americans aged 45 to 64 was projected to increase from 47 million to 61 million, while the number of Americans aged 18 to 24 was projected to decrease from 26 million to 25 million. According to this projection, which of the following is closest to the ratio of the percent increase in the 45-to-64 age group to the percent decrease in the 18-to-24 age group?

A) 5 to 1
B) 6 to 1
C) 8 to 1
D) 10 to 1
E) 14 to 1

This question is from GMAT Focus.
[Reveal] Spoiler: OA
1 KUDOS received
Manager
Manager
User avatar
Status: Rising GMAT Star
Joined: 05 Jun 2012
Posts: 133
Location: Philippines
Concentration: General Management, Finance
GMAT 1: 660 Q V
GPA: 3.22
WE: Corporate Finance (Consulting)
Followers: 6

Kudos [?]: 38 [1] , given: 16

Re: Between 1990 and 2000, the number of Americans aged 45 to 64 [#permalink]

Show Tags

New post 29 Jan 2013, 00:48
1
This post received
KUDOS
deoljasms wrote:
Between 1990 and 2000, the number of Americans aged 45 to 64 was projected to increase from 47 million to 61 million, while the number of Americans aged 18 to 24 was projected to decrease from 26 million to 25 million. According to this projection, which of the following is closest to the ratio of the percent increase in the 45-to-64 age group to the percent decrease in the 18-to-24 age group?

A) 5 to 1
B) 6 to 1
C) 8 to 1
D) 10 to 1
E) 14 to 1

This question is from GMAT Focus.


My answer is C.

Given:
1990 - 2000 (one year)
Age 45 to 64 = 47 to 61
Age 18 to 24 = 26 to 25

Find: % increase in 45 to 65 / % decrease in 18 to 24

General formula: % increase or % decrease = (new number - old number ) / old number

That being said, we have:

% increase in 45 to 65 = (65 - 45) / 45 = 14 / 47

% decrease in 18 to 25 = (25 - 26) / 26 = - 1 / 26 or 1 / 26 (we can remove the negative sign because we are talking about changes here)

Now we use the two values:

= (14 / 47) / (1 / 26)

= (14 / 47) * ( 26)

= 364 / 47

~ 7.7...

7.7 is closest to 8, which is answer choice (C)

There you have it. :) Kudos please? :)
_________________

Far better is it to dare mighty things, to win glorious triumphs, even though checkered by failure... than to rank with those poor spirits who neither enjoy nor suffer much, because they live in a gray twilight that knows not victory nor defeat.
- T. Roosevelt

Intern
Intern
avatar
Joined: 28 Apr 2013
Posts: 16
GMAT Date: 08-03-2013
GPA: 3.3
WE: Supply Chain Management (Military & Defense)
Followers: 0

Kudos [?]: 11 [0], given: 1

GMAT ToolKit User CAT Tests
Re: Between 1990 and 2000, the number of Americans aged 45 to 64 [#permalink]

Show Tags

New post 11 Jun 2013, 17:15
While the answer was still right in the above post the numbers are reversed...but here's my approach, quick and simple:


Americans 45-64: Increase 47M to 61M
Americans 18-24: Decrease 26M to 25M

Percent change = \(\frac{New-Old}{Old}\)

So we have \(\frac{61-47}{47}\) and \(\frac{25-26}{25}\)

Our ratio becomes \(\frac{14}{47}\):\(\frac{1}{25}\) which leads us to a factor of 14 in the numerator and almost a factor of 2 in the denominator: Since the answer choices were 5, 6, 8, 10, and 14 we know that it must be either 6 or 8 (around 7) and since the denominator isn't quite a factor of 2 different then we would be closer to 8>>Answer C
Manager
Manager
avatar
Status: Training
Joined: 03 Jun 2013
Posts: 90
Location: Canada
GPA: 3.7
Followers: 3

Kudos [?]: 101 [0], given: 3

GMAT ToolKit User Reviews Badge
Re: Between 1990 and 2000, the number of Americans aged 45 to 64 [#permalink]

Show Tags

New post 11 Jun 2013, 17:35
Hey,

I took a similar approach to the others, but since I assume most people aren't good at doing arithmetic, and even those who are usually aren't lighting fast, I think the following approximation is very useful:

When comparing 14/47 to 1/26, this can seem a little difficult. We can easily compare this though if we bring each of the bases to be around 100:

If we multiply 14/47 by 2/2, we can approximately 30/100.
If we multiply 1/26 by 4/4, we get something a tad smaller than 4/100.

The closest, by far, to <4 : 30, is 8.

Hope that helps.
_________________

KUDOS please if my post was useful!

Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 6677
Location: Pune, India
Followers: 1831

Kudos [?]: 11146 [0], given: 219

Re: Between 1990 and 2000, the number of Americans aged 45 to 64 [#permalink]

Show Tags

New post 11 Jun 2013, 23:40
Expert's post
Nwsmith11 wrote:
While the answer was still right in the above post the numbers are reversed...but here's my approach, quick and simple:


Americans 45-64: Increase 47M to 61M
Americans 18-24: Decrease 26M to 25M

Percent change = \(\frac{New-Old}{Old}\)

So we have \(\frac{61-47}{47}\) and \(\frac{25-26}{25}\)

Our ratio becomes \(\frac{14}{47}\):\(\frac{1}{25}\) which leads us to a factor of 14 in the numerator and almost a factor of 2 in the denominator: Since the answer choices were 5, 6, 8, 10, and 14 we know that it must be either 6 or 8 (around 7) and since the denominator isn't quite a factor of 2 different then we would be closer to 8>>Answer C


Actually the post above had it right.

Change 45-64 = \(\frac{14}{47}\)
Change 18-24 = \(\frac{(25 - 26)}{26}\)

And yes, I would use the same approximation too.

\(14*\frac{26}{47}\)
26/47 is approx 1/2 but actually 2 is 1.8 or 1.9 something

When you divide 14 by 2, you get 7 but when you divide it by less than 2, you get more than 7. Hence 8 would be the answer.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Manager
Manager
avatar
Joined: 29 Sep 2013
Posts: 53
Followers: 0

Kudos [?]: 28 [0], given: 48

Re: Between 1990 and 2000, the number of Americans aged 45 to 64 [#permalink]

Show Tags

New post 26 Oct 2013, 02:23
deoljasms wrote:
Between 1990 and 2000, the number of Americans aged 45 to 64 was projected to increase from 47 million to 61 million, while the number of Americans aged 18 to 24 was projected to decrease from 26 million to 25 million. According to this projection, which of the following is closest to the ratio of the percent increase in the 45-to-64 age group to the percent decrease in the 18-to-24 age group?

A) 5 to 1
B) 6 to 1
C) 8 to 1
D) 10 to 1
E) 14 to 1

This question is from GMAT Focus.


Thirty Seconds approach:

increase in aged 45 to 64: 14 million in 47 or approximately 30%
decrease in aged 18 to 24: 1 million in 26 or approximately 4%

Therefore their ratio is 30%/4% = 7.5 to 1, which is nearest to C
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 10225
Followers: 482

Kudos [?]: 124 [0], given: 0

Premium Member
Re: Between 1990 and 2000, the number of Americans aged 45 to 64 [#permalink]

Show Tags

New post 19 Dec 2015, 13:26
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: Between 1990 and 2000, the number of Americans aged 45 to 64   [#permalink] 19 Dec 2015, 13:26
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic How many integers between 1 and 2,000 are divisible by 10, 25, and 35? Bunuel 5 19 Apr 2016, 03:09
1 Experts publish their posts in the topic The number of livestock in a farm at the beginning of year 2000 was 10 Bunuel 3 19 Aug 2015, 01:13
4 Experts publish their posts in the topic The number of bananas harvested in 2000 was the integer x. I jasdhanda 17 08 Apr 2014, 20:00
6 Experts publish their posts in the topic The ages of three friends are prime numbers. The sum of the ages is mrinal2100 13 21 Oct 2010, 11:04
2 Experts publish their posts in the topic How many multiples of 10 are there between 1000 and 2000, inclusive? Baten80 5 12 Aug 2010, 09:27
Display posts from previous: Sort by

Between 1990 and 2000, the number of Americans aged 45 to 64

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.