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

 It is currently 14 Dec 2018, 18:22

### 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 December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Typical Day of a UCLA MBA Student - Recording of Webinar with UCLA Adcom and Student

December 14, 2018

December 14, 2018

10:00 PM PST

11:00 PM PST

Carolyn and Brett - nicely explained what is the typical day of a UCLA student. I am posting below recording of the webinar for those who could't attend this session.
• ### Free GMAT Strategy Webinar

December 15, 2018

December 15, 2018

07:00 AM PST

09:00 AM PST

Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

# When 242 is divided by a certain divisor the remainder obtai

Author Message
Senior Manager
Joined: 10 Jul 2013
Posts: 315
When 242 is divided by a certain divisor the remainder obtai  [#permalink]

### Show Tags

22 Aug 2013, 11:05
2
2
00:00

Difficulty:

35% (medium)

Question Stats:

81% (01:18) correct 19% (02:04) wrong based on 106 sessions

### HideShow timer Statistics

When 242 is divided by a certain divisor the remainder obtained is 8. When 698 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4. What is the value of the divisor?

A. 11
B. 17
C. 13
D. 23
E. None of these

_________________

Asif vai.....

Director
Joined: 14 Dec 2012
Posts: 754
Location: India
Concentration: General Management, Operations
GMAT 1: 700 Q50 V34
GPA: 3.6
Re: When 242 is divided by a certain divisor the remainder obtai  [#permalink]

### Show Tags

22 Aug 2013, 11:13
3
1
Asifpirlo wrote:
When 242 is divided by a certain divisor the remainder obtained is 8. When 698 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4. What is the value of the divisor?

A. 11
B. 17
C. 13
D. 23
E. None of these

let that divisor be x
since remainder is 8 or 9 it means divisor is greater than 9.
now 242-8=234 =kx (k is an integer and 234 is divisble by x)
similarly 698-9=689 = lx (l is an integer and 689 is divisible by x)
= (234+689)+8+9
=x(k+l) + 17
when we divide this number by x then remainder will be equal to remainder of (17 divided by x) = 4 hence x = 17-4 = 13
hence C
_________________

When you want to succeed as bad as you want to breathe ...then you will be successfull....

GIVE VALUE TO OFFICIAL QUESTIONS...

learn AWA writing techniques while watching video : http://www.gmatprepnow.com/module/gmat-analytical-writing-assessment

Math Expert
Joined: 02 Sep 2009
Posts: 51215
Re: When 242 is divided by a certain divisor the remainder obtai  [#permalink]

### Show Tags

22 Aug 2013, 11:14
3
1
Asifpirlo wrote:
When 242 is divided by a certain divisor the remainder obtained is 8. When 698 is divided by the same divisor the remainder obtained is 9. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4. What is the value of the divisor?

A. 11
B. 17
C. 13
D. 23
E. None of these

When 242 is divided by a certain divisor the remainder obtained is 8 --> $$242=q_1*d+8$$
When 698 is divided by the same divisor the remainder obtained is 9 --> $$698=q_2*d+9$$

When the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 4 --> $$242+698=d(q_1+q_2)+17$$

Now, the first term ($$d(q_1+q_2)$$) is divisible by d, so 17 divided by d yields the remainder of 4, which is true for option C, so if d=13.

_________________
Non-Human User
Joined: 09 Sep 2013
Posts: 9162
Re: When 242 is divided by a certain divisor the remainder obtai  [#permalink]

### Show Tags

26 Nov 2018, 17:46
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: When 242 is divided by a certain divisor the remainder obtai &nbs [#permalink] 26 Nov 2018, 17:46
Display posts from previous: Sort by