X/238= m +79
x/17=?
X/238=m +79
let m=1
then x=238*1+79=317
317=18*17+11
answ is E
Division Problem
This topic has expert replies
Source: Beat The GMAT — Problem Solving |
GMAT/MBA Expert
- Anurag@Gurome
- GMAT Instructor
- Posts: 3835
- Joined: Fri Apr 02, 2010 10:00 pm
- Location: Milpitas, CA
- Thanked: 1854 times
- Followed by:523 members
- GMAT Score:770
238 + 79 = 317Viren1808 wrote:A number when divided by 238, leaves a remainder 79. What will be the remainder when the number is divided by 17?
1. 8
2. 9
3. 10
4. 11
Kindly provide a detailed solution.
317/17 gives a quotient of 18.
17 * 18 = 306 and 317 - 306 = 11
The correct answer is [spoiler](4)[/spoiler].
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)
Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
- GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
The smallest integer that will yield a remainder of x is THE REMAINDER ITSELF.Viren1808 wrote:A number when divided by 238, leaves a remainder 79. What will be the remainder when the number is divided by 17?
1. 8
2. 9
3. 10
4. 11
Kindly provide a detailed solution.
Thus, in the problem at hand, the remainder -- 79 -- is smallest possible value of the unknown number:
79/238 = 0 R79.
Dividing by 17, we get:
79/17 = 4 R11.
The correct answer is 4.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
- [email protected]
- Legendary Member
- Posts: 934
- Joined: Tue Nov 09, 2010 5:16 am
- Location: AAMCHI MUMBAI LOCAL
- Thanked: 63 times
- Followed by:14 members
A number when divided by 238, leaves a remainder 79. What will be the remainder when the number is divided by 17?
1. 8
2. 9
3. 10
4. 11
Yes the correct answer is (4)... this is how i did it.....
STEP 1: FACTORIZE THE NUMBER 238 AND FIND THE FACTORS OF THE NUMBER
the numbers are 2, 7 and 17...
STEP 2: NOW YOU KNOW THAT THE NUMBER IS A MULTIPLE OF 238, SO TAKE ANY NUMBER GREATER THAN OR
EQUAL TO 238
AND ITS MULTIPLE FOR EG: 238, (238 * 2) ETC.. AND THEN ADD THE REMAINDER TO THAT NUMBER
STEP 3: DIVIDE THAT NUMBER BY 17 AND WHATEVER IS THE REMAINDER, IS THE FINAL ANSWER...
HOPE THIS HELPS....
1. 8
2. 9
3. 10
4. 11
Yes the correct answer is (4)... this is how i did it.....
STEP 1: FACTORIZE THE NUMBER 238 AND FIND THE FACTORS OF THE NUMBER
the numbers are 2, 7 and 17...
STEP 2: NOW YOU KNOW THAT THE NUMBER IS A MULTIPLE OF 238, SO TAKE ANY NUMBER GREATER THAN OR
EQUAL TO 238
AND ITS MULTIPLE FOR EG: 238, (238 * 2) ETC.. AND THEN ADD THE REMAINDER TO THAT NUMBER
STEP 3: DIVIDE THAT NUMBER BY 17 AND WHATEVER IS THE REMAINDER, IS THE FINAL ANSWER...
HOPE THIS HELPS....
IT IS TIME TO BEAT THE GMAT
LEARNING, APPLICATION AND TIMING IS THE FACT OF GMAT AND LIFE AS WELL... KEEP PLAYING!!!
Whenever you feel that my post really helped you to learn something new, please press on the 'THANK' button.
LEARNING, APPLICATION AND TIMING IS THE FACT OF GMAT AND LIFE AS WELL... KEEP PLAYING!!!
Whenever you feel that my post really helped you to learn something new, please press on the 'THANK' button.












