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

 It is currently 21 Oct 2018, 18:58

### 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

# N and P are points on the number line below 20. Is P closer to 10 than

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50009
N and P are points on the number line below 20. Is P closer to 10 than  [#permalink]

### Show Tags

29 Jul 2016, 10:33
1
5
00:00

Difficulty:

95% (hard)

Question Stats:

45% (02:39) correct 55% (02:21) wrong based on 95 sessions

### HideShow timer Statistics

N and P are points on the number line below 20. Is P closer to 10 than N is?

(1) P is greater than the average of 10 and N.

(2) P/N = 3

_________________
Board of Directors
Status: Stepping into my 10 years long dream
Joined: 18 Jul 2015
Posts: 3622
Re: N and P are points on the number line below 20. Is P closer to 10 than  [#permalink]

### Show Tags

29 Jul 2016, 10:52
Bunuel wrote:
N and P are points on the number line below 20. Is P closer to 10 than N is?

(1) P is greater than the average of 10 and N.

(2) P/N = 3

1) P is greater than average of 10 and N. Lets say N=1; Average = 5.5. Now P could be 10 , in that case it is closer to N and P could be 19, in that case N is closer to 10.

- Insufficient.

2) P/N=3 or P=3N.

Say N = 5, P is as close to 10 a N. for N=6, P=18,in this case N is closer to 10. -- Insufficient.

Combining 1 and 2, if N is 5. P=15, and P is also greater than 7.5(average) but P is as close to 10 as N.

if N is 6, P =18, and P>8(average), but here N is closer to 10 than P.-- Insufficient.

Hence, E is correct
_________________

My GMAT Story: From V21 to V40
My MBA Journey: My 10 years long MBA Dream
My Secret Hacks: Best way to use GMATClub | Importance of an Error Log!
Verbal Resources: All SC Resources at one place | All CR Resources at one place

GMAT Club Inbuilt Error Log Functionality - View More.
New Visa Forum - Ask all your Visa Related Questions - here.

Find a bug in the new email templates and get rewarded with 2 weeks of GMATClub Tests for free

Check our new About Us Page here.

Intern
Joined: 21 Sep 2014
Posts: 16
Location: Ukraine
GMAT 1: 700 Q47 V38
GPA: 3.57
N and P are points on the number line below 20. Is P closer to 10 than  [#permalink]

### Show Tags

31 Jul 2016, 01:08
Bunuel wrote:
N and P are points on the number line below 20. Is P closer to 10 than N is?

(1) P is greater than the average of 10 and N.

(2) P/N = 3

Given P<20, N<20

(1) P>(10+N)/2
if N<10, we dont know whether P closer to 10 than N (e.g. N=8, P>9 => P=9,5; 10 or P=15...)
if N>10, we dont know whether P closer to 10 than N (e.g. N=12, P>11 => P=12 or P=15...)
if N=10, N closer to 10 than P (e.g. N=10, P>10 )
NOT SUFF

(2) P/N=3, P=3N
if N>0 P>N we dont know whether P closer to 10 than N (N=3, P=9 YES; N=6 P=18 NO)
if N<0 P<N N closer to 10 than P
if N=0 P=N the distance btw P=N and 10 the same
NOT SUFF

(1)&(2) P>(10+N)/2; P=3N => substitute 3N>(10+N)/2=>5N>10=> N>2=>P>6 => P>N
(N=3, P=9 YES; N=6 P=18 NO)
NOT SUFF

Senior Manager
Joined: 19 Oct 2012
Posts: 327
Location: India
Concentration: General Management, Operations
GMAT 1: 660 Q47 V35
GMAT 2: 710 Q50 V38
GPA: 3.81
WE: Information Technology (Computer Software)
Re: N and P are points on the number line below 20. Is P closer to 10 than  [#permalink]

### Show Tags

17 Oct 2017, 07:47
From Statement 1: we get $$P > (N+10)/2$$. This does not give us anything.
From Statement 2: we get $$P=3N$$, we don't get anything again.

Using 1 and 2, we get: $$N= P/3$$
and $$P > (P/3+10)/2$$
On solving above, this gives$$P > 6$$.

This gives nothing about the positioning of P with respect to 10. Hence both statements are insufficient. The answer is E.
_________________

Citius, Altius, Fortius

Re: N and P are points on the number line below 20. Is P closer to 10 than &nbs [#permalink] 17 Oct 2017, 07:47
Display posts from previous: Sort by