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

 It is currently 15 Oct 2019, 17:35

### 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 p is a positive integer, then how many digits p^3 has?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58340
If p is a positive integer, then how many digits p^3 has?  [#permalink]

### Show Tags

24 Sep 2018, 06:11
00:00

Difficulty:

55% (hard)

Question Stats:

55% (01:35) correct 45% (01:42) wrong based on 25 sessions

### HideShow timer Statistics

If p is a positive integer, then how many digits p^3 has?

(1) p is a three digit number
(2) p^2 is a five digit number.

_________________
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2974
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: If p is a positive integer, then how many digits p^3 has?  [#permalink]

### Show Tags

24 Sep 2018, 07:44
Bunuel wrote:
If p is a positive integer, then how many digits p^3 has?

(1) p is a three digit number
(2) p^2 is a five digit number.

Question: how many digits p^3 has?

Statement 1: p is a three digit number
@p=100, p^3 = 1000000 i.e. 7 digits
@p=900, p^3 = 81000000 i.e. 8 digits

NOT SUFFICIENT

Statement 2: p^2 is a five digit number.
@p=100, p^2 = 10000 and p^3 = 1000000 i.e. 7 digits
@p=300, p^2 = 90000 and p^3 = 27000000 i.e. 8 digits

NOT SUFFICIENT

Combining the two statements
@p=100, p^2 = 10000 and p^3 = 1000000 i.e. 7 digits
@p=300, p^2 = 90000 and p^3 = 27000000 i.e. 8 digits

NOT SUFFICIENT

_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Re: If p is a positive integer, then how many digits p^3 has?   [#permalink] 24 Sep 2018, 07:44
Display posts from previous: Sort by