It is currently 22 Mar 2018, 06:59

# TODAY:

Berkeley Haas R2 Results - Join CHAT ROOM for Latest Decision Updates

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If n is a positive integer, what is the value of n? (1) When

Author Message
Current Student
Joined: 11 May 2008
Posts: 552
If n is a positive integer, what is the value of n? (1) When [#permalink]

### Show Tags

04 Sep 2008, 04:15
If n is a positive integer, what is the value of n?
(1) When n is divided by 3, the remainder is 2.
(2) When n^2 is divided by 3, the remainder is 1.

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
SVP
Joined: 30 Apr 2008
Posts: 1850
Location: Oklahoma City
Schools: Hard Knocks

### Show Tags

04 Sep 2008, 04:31
E

arjtryarjtry wrote:
If n is a positive integer, what is the value of n?
(1) When n is divided by 3, the remainder is 2.
(2) When n^2 is divided by 3, the remainder is 1.

n could be anything from this set and satisfy Statement (1) {2, 5, 8, 11...} Because we have multiple possible values for n, #1 is insufficient.

n could be 2 (2^2 = 4 / 3 = remainder of 1), 4, 8...again multiple values so insufficient.

together, if we have 2, then n as 2 / 3 = remainder of 2, 2^2 = 4 / 3 is remainder of 1.

5 doesn't work for each statement so it's out. but 8 does. 8/3 = remainder of 2. 8^2 = 64; 64/3 = remainder of 1. Because we have multiple possible values when the statements are combined...both together are insufficient, so Answer E.
_________________

------------------------------------
J Allen Morris
**I'm pretty sure I'm right, but then again, I'm just a guy with his head up his a\$\$.

GMAT Club Premium Membership - big benefits and savings

VP
Joined: 05 Jul 2008
Posts: 1369

### Show Tags

04 Sep 2008, 09:07
(1) When n is divided by 3, the remainder is 2.

n = 3K+2 and n can be 2,5,8,11,14.. Insuff

(2) When n^2 is divided by 3, the remainder is 1.

n^2 = 3k+1 and n can be 5, 8 Insuff

Taken together n =5,8 Insuff

E
VP
Joined: 17 Jun 2008
Posts: 1322

### Show Tags

05 Sep 2008, 21:03
arjtryarjtry wrote:
If n is a positive integer, what is the value of n?
(1) When n is divided by 3, the remainder is 2.
(2) When n^2 is divided by 3, the remainder is 1.

(1) 3p+2 is the number p can take any integer values >0 INSUFFI
(2)3q^2+1 is the number again q can be any values +ve as well as -ve
hence n can have multiple values !! INSUFFI

(1) and (2)

3(3p+2)^2 +1 can be any value since p can take any vale +ve or negative hence multiple n hence INSUFFI

IMO E

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________

cheers
Its Now Or Never

Re: remainder problem   [#permalink] 05 Sep 2008, 21:03
Display posts from previous: Sort by

# If n is a positive integer, what is the value of n? (1) When

Moderator: chetan2u

 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®.