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

 It is currently 21 Aug 2018, 01:29

### 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

# For a positive integer n, when 12n is divided by 15, which of the foll

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6041
GMAT 1: 760 Q51 V42
GPA: 3.82
For a positive integer n, when 12n is divided by 15, which of the foll  [#permalink]

### Show Tags

11 May 2017, 01:27
1
7
00:00

Difficulty:

15% (low)

Question Stats:

79% (01:05) correct 21% (00:45) wrong based on 117 sessions

### HideShow timer Statistics

For a positive integer n, when 12n is divided by 15, which of the following cannot be the remainder?

A. 0
B. 3
C. 5
D. 6
E. 9

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $99 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Senior CR Moderator Status: Long way to go! Joined: 10 Oct 2016 Posts: 1392 Location: Viet Nam Re: For a positive integer n, when 12n is divided by 15, which of the foll [#permalink] ### Show Tags 11 May 2017, 01:35 1 MathRevolution wrote: For a positive integer n, when 12n is divided by 15, which of the following cannot be the remainder? A. 0 B. 3 C. 5 D. 6 E. 9 $$\frac{12n}{15}=\frac{15n-3n}{15}=\frac{-3n}{15}$$ Hence, the remainder must be divisible by 3. Hence, 5 cannot be the remainder. The answer is C _________________ Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 6041 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: For a positive integer n, when 12n is divided by 15, which of the foll [#permalink] ### Show Tags 14 May 2017, 18:33 ==>From 12n=15Q+r, 12 and 15 are the multiples of 3, so remainder=r must also be the multiple of 3. Therefore, 5 cannot be the remainder. The answer is C. Answer: C _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$99 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3186
Location: United States (CA)
Re: For a positive integer n, when 12n is divided by 15, which of the foll  [#permalink]

### Show Tags

20 Dec 2017, 12:30
MathRevolution wrote:
For a positive integer n, when 12n is divided by 15, which of the following cannot be the remainder?

A. 0
B. 3
C. 5
D. 6
E. 9

When n = 1, 12(1) = 12 and 12/15 has a remainder of 12.

When n = 2, 12(2) = 24 and 24/15 has a remainder of 9.

When n = 3, 12(3) = 36 and 36/15 has a remainder of 6.

When n = 4, 12(4) = 48 and 48/15 has a remainder of 3.

When n = 5, 12(5) = 60 and 60/15 has a remainder of 0.

If we look at the given answer choices, we see that possible remainders of 12n/15 include 0, 3, 6, and 9, but don’t include 5, so 5 cannot be the remainder when 12n is divided by 15.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: For a positive integer n, when 12n is divided by 15, which of the foll &nbs [#permalink] 20 Dec 2017, 12:30
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®.