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

 It is currently 19 Sep 2018, 15:42

### 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

# If the hash marks above are equally spaced, what is the value of p?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 49251
If the hash marks above are equally spaced, what is the value of p?  [#permalink]

### Show Tags

26 Aug 2018, 06:26
00:00

Difficulty:

15% (low)

Question Stats:

86% (01:24) correct 14% (02:12) wrong based on 21 sessions

### HideShow timer Statistics

If the hash marks above are equally spaced, what is the value of p?

(A) $$\frac{3}{2}$$

(B) $$\frac{8}{5}$$

(C) $$\frac{24}{15}$$

(D) $$\frac{512}{125}$$

(E) $$\frac{625}{256}$$

Attachment:

Capture.PNG [ 23.87 KiB | Viewed 390 times ]

_________________
Senior Manager
Joined: 23 May 2017
Posts: 251
Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)
Re: If the hash marks above are equally spaced, what is the value of p?  [#permalink]

### Show Tags

26 Aug 2018, 06:44
D?

Let say each part = x : so 5x = 2 hence x = 2/5
$$p^1/3$$ = 4x = 8/5
p = 8*8*8/125 = 512/125
_________________

If you like the post, please award me Kudos!! It motivates me

Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 848
WE: Supply Chain Management (Energy and Utilities)
If the hash marks above are equally spaced, what is the value of p?  [#permalink]

### Show Tags

26 Aug 2018, 09:52
1
Bunuel wrote:

If the hash marks above are equally spaced, what is the value of p?

(A) $$\frac{3}{2}$$

(B) $$\frac{8}{5}$$

(C) $$\frac{24}{15}$$

(D) $$\frac{512}{125}$$

(E) $$\frac{625}{256}$$

Attachment:
Capture.PNG

You may notice that 5nos. of hash marks add up to 2. Since the hash marks are equally spaced hence gap between consecutive hash marks is $$\frac{2}{5}$$.

Now, $$\sqrt[3]{p}$$ is situated after 4 gaps from the reference point(0).
So, $$\sqrt[3]{p}$$=$$4*\frac{2}{5}$$
Or, $$p=(\frac{8}{5})^3$$ (Taking cube both sides)
Or, p=$$\frac{512}{125}$$

Ans. (D)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

CEO
Joined: 12 Sep 2015
Posts: 2855
Re: If the hash marks above are equally spaced, what is the value of p?  [#permalink]

### Show Tags

26 Aug 2018, 10:48
Top Contributor
Bunuel wrote:

If the hash marks above are equally spaced, what is the value of p?

(A) $$\frac{3}{2}$$

(B) $$\frac{8}{5}$$

(C) $$\frac{24}{15}$$

(D) $$\frac{512}{125}$$

(E) $$\frac{625}{256}$$

Attachment:
Capture.PNG

There are 5 spaces between 0 and 2
So, each space represents 2/5

∛p is 4 spaces from 0.
So: ∛p = 4(2/5)
Simplify right side: ∛p = 8/5
Cube both sides to get : (∛p)³ = (8/5)³
Simplify: p = (8/5)³ = 512/125

Cheers,
Brent
_________________

Brent Hanneson – GMATPrepNow.com

Re: If the hash marks above are equally spaced, what is the value of p? &nbs [#permalink] 26 Aug 2018, 10:48
Display posts from previous: Sort by

# Events & Promotions

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