GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 14 Oct 2019, 06:22

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.

Close

Request Expert Reply

Confirm Cancel

A country's per capita national debt is its national debt divided by

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

Hide Tags

Find Similar Topics 
Senior Manager
Senior Manager
avatar
G
Joined: 04 Sep 2017
Posts: 290
A country's per capita national debt is its national debt divided by  [#permalink]

Show Tags

New post 21 Sep 2019, 15:12
1
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

33% (01:16) correct 67% (01:36) wrong based on 18 sessions

HideShow timer Statistics

A country's per capita national debt is its national debt divided by its population. Is the per capita national debt of Country G within $5 of $500 ?

(1) Country G's national debt to the nearest $1,000,000,000 is $43,000,000,000.
(2) Country G's population to the nearest 1,000,000 is 86,000,000.


DS19350.01
Manager
Manager
User avatar
G
Joined: 14 Apr 2017
Posts: 66
Location: Hungary
GMAT 1: 760 Q50 V42
WE: Education (Education)
Re: A country's per capita national debt is its national debt divided by  [#permalink]

Show Tags

New post 22 Sep 2019, 15:41
1
gmatt1476 wrote:
A country's per capita national debt is its national debt divided by its population. Is the per capita national debt of Country G within $5 of $500 ?

(1) Country G's national debt to the nearest $1,000,000,000 is $43,000,000,000.
(2) Country G's population to the nearest 1,000,000 is 86,000,000.

DS19350.01


Let D be the debt and let P be the population. The original question: Is \(495\leq \frac{D}{P}\leq 505\) ?

1) We know that \(42{,}500{,}000{,}000\leq D<43{,}500{,}000{,}000\), but no information is given about the population. Thus, we can't get a definite answer to the original question. \(\implies\) Insufficient

2) We know that \(85{,}500{,}000\leq P<86{,}500{,}000\), but no information is given about the debt. Thus, we can't get a definite answer to the original question. \(\implies\) Insufficient

1&2) First, we check whether the maximum possible value for D/P meets the upper bound condition in the original question.

Is \(\frac{435{,}000}{855}\leq 505\) ? To answer the question, we should use multiplication rather than division.

Since (855)(505)=431,775 is not greater than 435,000 , the maximum possible value for D/P is greater than the upper bound in the original question.

Then, we check whether the minimum possible value for D/P meets the upper bound condition in the original question. It's important that we check the upper bound condition, not the lower bound condition. Imagine that it could meet the lower bound condition with or without meeting the upper bound condition.

Is \(\frac{425{,}000}{865}\leq 505\) ?

Since (865)(505)=436,825 is greater than 425,000 , the minimum possible value for D/P is not greater than the upper bound in the original question.

Thus, we can't get a definite answer to the original question. \(\implies\) Insufficient

Answer: E
_________________
My book with my solutions to all 230 PS questions in OG2018:
Zoltan's solutions to OG2018 PS
GMAT Club Bot
Re: A country's per capita national debt is its national debt divided by   [#permalink] 22 Sep 2019, 15:41
Display posts from previous: Sort by

A country's per capita national debt is its national debt divided by

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne