Welcome! Check out our free B-School Guides to learn how you compare with other applicants.

## Remainder

This topic has 1 expert reply and 0 member replies
jkelk Just gettin' started!
Joined
12 Mar 2012
Posted:
24 messages
Remainder Wed Mar 14, 2012 11:51 am
Elapsed Time: 00:00
• Lap #[LAPCOUNT] ([LAPTIME])
Hi

Thanks,
J
Attachments

Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!

### GMAT/MBA Expert

Mike@Magoosh GMAT Instructor
Joined
28 Dec 2011
Posted:
396 messages
Followed by:
56 members
Thanked:
234 times
Thu Mar 15, 2012 4:41 pm
Hi, there. I'm happy to help with this.

Prompt: When the positive integer n is divided by 25, the remainder is 13. What is the value of 13?

So, we know n/25 = Q + 13/25, or n = Q*25 + 13, where Q, the quotient, can be any positive integer. This means, candidates for n include
25 + 13 = 38
50 + 13 = 63
75 + 13 = 88
100 + 13 = 113
125 + 13 = 138
150 + 13 = 163
175 + 13 = 188 etc. etc.

Statement #1: n < 100

That leaves candidates 38, 63, and 88, so we can't determine a unique value for n. Statement #1, by itself, is insufficient.

Statement #2: When n is divided by 20, the remainder is 3

That leaves candidates 63, 163, 263, 363, etc., so we can't determine a unique value for n. Statement #2, by itself, is insufficient.

Both Statements Combined:
The only number that simultaneously satisfies both statements is n = 63. With combined statements, we are able to determine a unique and definitive numerical answer for the prompt. Combined, the statements are sufficient.

Does this make sense? Here's a related DS question:

http://gmat.magoosh.com/questions/873

Let me know if you have any further questions.

Mike

_________________
Magoosh GMAT Instructor
http://gmat.magoosh.com/

### Best Conversation Starters

1 varun289 42 topics
2 JeneAleEngend 23 topics
3 guerrero 21 topics
4 sana.noor 20 topics
5 tycleEmetly 20 topics
See More Top Beat The GMAT Members...

### Most Active Experts

1 Brent@GMATPrepNow

GMAT Prep Now Teacher

202 posts
2 GMATGuruNY

The Princeton Review Teacher

140 posts
3 Anju@Gurome

Gurome

113 posts
4 Jim@StratusPrep

Stratus Prep

92 posts