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

 It is currently 26 Jun 2019, 15:19

### 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

# Given that a and b are positive integers, if a≠1, does a = b?

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
Intern
Joined: 04 Sep 2015
Posts: 35
Location: Germany
Concentration: Operations, Finance
WE: Project Management (Aerospace and Defense)
Given that a and b are positive integers, if a≠1, does a = b?  [#permalink]

### Show Tags

Updated on: 30 Jan 2016, 12:51
1
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:56) correct 0% (00:00) wrong based on 47 sessions

### HideShow timer Statistics

Given that a and b are positive integers, if a≠1, does a = b?

Statement #1: a is a factor of b
Statement #2: a is a multiple of b

Considering Mike suggestion, the question has been edited.
This is a question framed by myself. Please feel free to improvise the question!
Good luck!

Originally posted by MK1480 on 29 Jan 2016, 11:03.
Last edited by MK1480 on 30 Jan 2016, 12:51, edited 1 time in total.
Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4488
Re: Given that a and b are positive integers, if a≠1, does a = b?  [#permalink]

### Show Tags

29 Jan 2016, 17:49
1
MK1480 wrote:
Is a = b?

1. 'a' is a factor of 'b'

2. 'b' is a factor of 'a'

This is a question framed by myself. Please feel free to improvise the question!
Good luck!

Dear MK1480,
Very interesting, my friend. When you say "feel free to improvise the question," I assume you mean "feel free to improve the question."

First of all, I think it would be more natural sounding to say "Does a = b?" rather than "Is a = b?"

I think a slightly more interesting set-up would be:
Given that a and b are positive integers, if $$a \neq 1$$, does a = b?
Statement #1: a is a factor of b
Statement #2: a is a multiple of b

This version plays on the subtle reciprocal relationship between the idea of a factor and the idea of a multiple. It also explicitly disabuses people of the misconception that if both statements are true, the values must equal 1. One important part of writing a high quality question is anticipating the incorrect assumptions that some students might bring to a question.

What do you think?
Mike
_________________
Mike McGarry
Magoosh Test Prep

Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)
Intern
Joined: 04 Sep 2015
Posts: 35
Location: Germany
Concentration: Operations, Finance
WE: Project Management (Aerospace and Defense)
Re: Given that a and b are positive integers, if a≠1, does a = b?  [#permalink]

### Show Tags

30 Jan 2016, 12:49
Completely agree with you Mike!
Thanks for your suggestions! I will edit the question as you advised!

mikemcgarry wrote:
MK1480 wrote:
Is a = b?

1. 'a' is a factor of 'b'

2. 'b' is a factor of 'a'

This is a question framed by myself. Please feel free to improvise the question!
Good luck!

Dear MK1480,
Very interesting, my friend. When you say "feel free to improvise the question," I assume you mean "feel free to improve the question."

First of all, I think it would be more natural sounding to say "Does a = b?" rather than "Is a = b?"

I think a slightly more interesting set-up would be:
Given that a and b are positive integers, if $$a \neq 1$$, does a = b?
Statement #1: a is a factor of b
Statement #2: a is a multiple of b

This version plays on the subtle reciprocal relationship between the idea of a factor and the idea of a multiple. It also explicitly disabuses people of the misconception that if both statements are true, the values must equal 1. One important part of writing a high quality question is anticipating the incorrect assumptions that some students might bring to a question.

What do you think?
Mike
Current Student
Joined: 12 Aug 2015
Posts: 2609
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Re: Given that a and b are positive integers, if a≠1, does a = b?  [#permalink]

### Show Tags

16 Mar 2016, 05:37
HERE is my answer
Obviously statements 1 and two are not sufficient by themselves
Now taking them together we can say that a=b or a=-b
hence E is my call

and one more thing
its been a long time => WILL SOMEONE ADD THE OFFICIAL SOLUTION PLEASE

cc- chetan2u Bunuel

thanks
_________________
Math Expert
Joined: 02 Aug 2009
Posts: 7765
Re: Given that a and b are positive integers, if a≠1, does a = b?  [#permalink]

### Show Tags

16 Mar 2016, 06:54
Chiragjordan wrote:
HERE is my answer
Obviously statements 1 and two are not sufficient by themselves
Now taking them together we can say that a=b or a=-b
hence E is my call

and one more thing
its been a long time => WILL SOMEONE ADD THE OFFICIAL SOLUTION PLEASE

cc- chetan2u Bunuel

thanks

Hi,

we should be very careful in reading the Q..

the Q says
Quote:
Given that a and b are positive integers, if a≠1, does a = b?
Statement #1: a is a factor of b
Statement #2: a is a multiple of b

it gives a and b are positive integers, so a cannot be -b, as any one will be negative in that case..

_________________
Director
Joined: 27 May 2012
Posts: 803
Re: Given that a and b are positive integers, if a≠1, does a = b?  [#permalink]

### Show Tags

31 Dec 2018, 09:41
MK1480 wrote:
Given that a and b are positive integers, if a≠1, does a = b?

Statement #1: a is a factor of b
Statement #2: a is a multiple of b

Considering Mike suggestion, the question has been edited.
This is a question framed by myself. Please feel free to improvise the question!
Good luck!

Dear Moderator,
Can we have the OA for this one, Thank you.
_________________
- Stne
Re: Given that a and b are positive integers, if a≠1, does a = b?   [#permalink] 31 Dec 2018, 09:41
Display posts from previous: Sort by

# Given that a and b are positive integers, if a≠1, does a = b?

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

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne