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

It is currently 19 Jan 2019, 14:53

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • FREE Quant Workshop by e-GMAT!

     January 20, 2019

     January 20, 2019

     07:00 AM PST

     07:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     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.

Which of the following is the greatest possible common divisor of two

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 52294
Which of the following is the greatest possible common divisor of two  [#permalink]

Show Tags

New post 12 Jul 2016, 03:37
2
5
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

68% (01:11) correct 32% (01:14) wrong based on 143 sessions

HideShow timer Statistics

Which of the following is the greatest possible common divisor of two different positive integers, both smaller than 124?

A. 123.
B. 122.
C. 63.
D. 62.
E. 61.

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Retired Moderator
avatar
G
Joined: 26 Nov 2012
Posts: 592
Premium Member
Which of the following is the greatest possible common divisor of two  [#permalink]

Show Tags

New post 12 Jul 2016, 04:48
Bunuel wrote:
Which of the following is the greatest possible common divisor of two different positive integers, both smaller than 124?

A. 123.
B. 122.
C. 63.
D. 62.
E. 61.




Given to find the greatest possible common divisor for two different positive number.

Let X be GCD and A and B are two different number.

We need to see the XA and XB has to be less than 124.

Now from options,

if we consider 62 * 2 = 124, which is equal to 124, we need to consider some number lesser than 124.

Consider 61 * 2 = 122 and 61 * 1 = 61 ( Both these numbers are lesser than 124 as requested ).

So GCD will be 61.

IMO E is correct option.

For clarity purpose let's check all the options.

A. 123 = ( 123 * 1 ) ( 123 * 0) can't be this. ( value = GCD * some number) . Apart from 0 and 1 , we'll get more result which is > 124 ( for ex 123 * 2 = 246 )
B. 122 = ( 122 * 1 ) ( 122 * 0 )
C. 63 = ( 63 * 1 ) ( 63 * 0 )

OA please...will correct if I missed anything.
Intern
Intern
avatar
Joined: 05 Sep 2015
Posts: 44
Re: Which of the following is the greatest possible common divisor of two  [#permalink]

Show Tags

New post 12 Jul 2016, 05:06
e.
61,122 because rest all are greater than 124 for their second multiple only.
Current Student
User avatar
D
Joined: 12 Aug 2015
Posts: 2626
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User Premium Member
Re: Which of the following is the greatest possible common divisor of two  [#permalink]

Show Tags

New post 29 Apr 2017, 04:46
DS Forum Moderator
avatar
P
Joined: 21 Aug 2013
Posts: 1432
Location: India
Premium Member
Re: Which of the following is the greatest possible common divisor of two  [#permalink]

Show Tags

New post 20 May 2017, 11:00
GCD of two different integers is a factor of both of them, first of all. So whatever two integers we choose less than 124 - both have to be multiples of that GCD.
Lets go by options here.

A) 123.. but next multiple of 123 will be >124. So not possible
B) 122. same as above. not possible
C) 63. Again same. next multiple of 63 is 126
D) 62. Again next multiple of 62 is 124. But both numbers must be less than 124

This leaves only option E, 61 as the correct answer
(61 and 122 have a GCD of 61)
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 9449
Premium Member
Re: Which of the following is the greatest possible common divisor of two  [#permalink]

Show Tags

New post 03 Nov 2018, 22:28
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: Which of the following is the greatest possible common divisor of two &nbs [#permalink] 03 Nov 2018, 22:28
Display posts from previous: Sort by

Which of the following is the greatest possible common divisor of two

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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®.