Hi VJesus12,
We're told that when N is divided by 7, the remainder is 2. We're asked for the remainder when 3N is divided by 7. This question can be solved rather easily by TESTing VALUES.
N can actually be lots of different values, so I'll list out the first several: N/7 = __ r 2...... N = 2, 9, 16, 23, 30, etc.
IF.... N=9...
3(9)/7 = 27/7 = 3 r 6
So the remainder is 6.
Final Answer: E
GMAT assassins aren't born, they're made,
Rich
If \(n\) divided by 7 has a remainder of 2, what is the
This topic has expert replies
Source: Beat The GMAT — Problem Solving |
GMAT/MBA Expert
-
[email protected]
- Elite Legendary Member
- Posts: 10392
- Joined: Sun Jun 23, 2013 6:38 pm
- Location: Palo Alto, CA
- Thanked: 2867 times
- Followed by:511 members
- GMAT Score:800
GMAT/MBA Expert
-
Scott@TargetTestPrep
- GMAT Instructor
- Posts: 8086
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
We can let n = 2. Thus:VJesus12 wrote:If \(n\) divided by 7 has a remainder of 2, what is the remainder when 3 times n is divided by 7?
A. 1
B. 2
C. 3
D. 5
E. 6
[spoiler]OA=E[/spoiler]
Source: Manhattan GMAT
(3 x 2)/7 = 6/7 = 0 remainder 6.
Answer: E
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
GMAT/MBA Expert
-
Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
----ASIDE-------------------------VJesus12 wrote:If \(n\) divided by 7 has a remainder of 2, what is the remainder when 3 times n is divided by 7?
A. 1
B. 2
C. 3
D. 5
E. 6
When it comes to remainders, we have a nice rule that says:
If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc.
For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), 1+(4)(5), . . . etc.
-----------------------------
In this case we are told that n divided by 7 leaves a remainder of 2
So the possible values of n are: 2, 9, 16, 23, etc....
So let's say n equals 2
The question becomes "What is the remainder when 3 times 2 is divided by 7?"
In other words, "What is the remainder when 6 is divided by 7?"
7 divides into 6 zero times, leaving a remainder of 6
Answer: E
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
