Last visit was: 23 Apr 2026, 11:54 It is currently 23 Apr 2026, 11:54
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
805+ (Hard)|   Remainders|      
avatar
vdm
avatar
Joined: 14 Jan 2012
Last visit: 18 Apr 2016
Posts: 7
Own Kudos:
29
 [14]
Given Kudos: 17
Posts: 7
Kudos: 29
 [14]
What is the value of positive integer m? Updated on: 14 Sep 2015, 07:48
Originally posted by vdm on 14 Sep 2015, 07:42.
Last edited by Bunuel on 14 Sep 2015, 07:48, edited 1 time in total.
Edited the question, added the OA and moved to DS forum.
4
Kudos
Add Kudos
10
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

95% (hard)

Question Stats:

35% (01:56) correct 65% (01:50) wrong based on 189 sessions

History

Date
Time
Result
Not Attempted Yet
What is the value of positive integer m?

(1) The remainder when any integer is divided by m is less than 5.
(2) The remainder when any integer is divided by m is an even number.
ShowHide Answer
Official Answer
B
User avatar
nahid78
User avatar
Joined: 12 Mar 2013
Last visit: 30 Apr 2023
Posts: 283
Own Kudos:
737
 [3]
Given Kudos: 1,062
Products:
My Reviews
Posts: 283
Kudos: 737
 [3]
What is the value of positive integer m? 14 Sep 2015, 08:02
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
vdm
What is the value of positive integer m?

(1) The remainder when any integer is divided by m is less than 5.
(2) The remainder when any integer is divided by m is an even number.
Show more


I am not sure, but i solved it this way.

Statement 1: From statement one we find that M is greater than 5 but we don't know what it is. So, insufficient.

Statement 2: it say ANY integer divided by M is an even integer. We can conclude that every integer is divisible by M and thus the reminder will be 0. As 0 is an even number, statement 2 is sufficient.


Press kudos if you find it helpful. :-D
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 23 Apr 2026
Posts: 109,783
Own Kudos:
810,837
Given Kudos: 105,853
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,783
Kudos: 810,837
What is the value of positive integer m? 14 Sep 2015, 08:07
Kudos
Add Kudos
Bookmarks
Bookmark this Post
nahid78
vdm
What is the value of positive integer m?

(1) The remainder when any integer is divided by m is less than 5.
(2) The remainder when any integer is divided by m is an even number.


I am not sure, but i solved it this way.

Statement 1: From statement one we find that M is greater than 5 but we don't know what it is. So, insufficient.

Statement 2: it say ANY integer divided by M is an even integer. We can conclude that every integer is divisible by M and thus the reminder will be 0. As 0 is an even number, statement 2 is sufficient.


Press kudos if you find it helpful. :-D
Show more

Notice that the question asks about the value of m.

HINT: what should be the value of m in order (any integer)/m to give an even remainder?
avatar
sharma123
avatar
Joined: 29 Oct 2014
Last visit: 03 May 2017
Posts: 31
Own Kudos:
23
Given Kudos: 194
Products:
My Reviews
Posts: 31
Kudos: 23
What is the value of positive integer m? 14 Sep 2015, 08:42
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
nahid78
vdm
What is the value of positive integer m?

(1) The remainder when any integer is divided by m is less than 5.
(2) The remainder when any integer is divided by m is an even number.


I am not sure, but i solved it this way.

Statement 1: From statement one we find that M is greater than 5 but we don't know what it is. So, insufficient.

Statement 2: it say ANY integer divided by M is an even integer. We can conclude that every integer is divisible by M and thus the reminder will be 0. As 0 is an even number, statement 2 is sufficient.


Press kudos if you find it helpful. :-D

Notice that the question asks about the value of m.

HINT: what should be the value of m in order (any integer)/m to give an even remainder?
Show more
Bunuel. is M=1??
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 23 Apr 2026
Posts: 109,783
Own Kudos:
810,837
 [2]
Given Kudos: 105,853
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,783
Kudos: 810,837
 [2]
What is the value of positive integer m? 14 Sep 2015, 08:45
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
sharma123
Bunuel
nahid78
What is the value of positive integer m?

(1) The remainder when any integer is divided by m is less than 5.
(2) The remainder when any integer is divided by m is an even number.

I am not sure, but i solved it this way.

Statement 1: From statement one we find that M is greater than 5 but we don't know what it is. So, insufficient.

Statement 2: it say ANY integer divided by M is an even integer. We can conclude that every integer is divisible by M and thus the reminder will be 0. As 0 is an even number, statement 2 is sufficient.


Press kudos if you find it helpful. :-D

Notice that the question asks about the value of m.

HINT: what should be the value of m in order (any integer)/m to give an even remainder?
Bunuel. is M=1??
Show more

Yes, (any integer)/1 always gives the remainder of 0.
User avatar
nahid78
User avatar
Joined: 12 Mar 2013
Last visit: 30 Apr 2023
Posts: 283
Own Kudos:
737
Given Kudos: 1,062
Products:
My Reviews
Posts: 283
Kudos: 737
What is the value of positive integer m? 14 Sep 2015, 10:48
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
nahid78
vdm
What is the value of positive integer m?

(1) The remainder when any integer is divided by m is less than 5.
(2) The remainder when any integer is divided by m is an even number.


I am not sure, but i solved it this way.

Statement 1: From statement one we find that M is greater than 5 but we don't know what it is. So, insufficient.

Statement 2: it say ANY integer divided by M is an even integer. We can conclude that every integer is divisible by M and thus the reminder will be 0. As 0 is an even number, statement 2 is sufficient.


Press kudos if you find it helpful. :-D

Notice that the question asks about the value of m.

HINT: what should be the value of m in order (any integer)/m to give an even remainder?
Show more

sorry i forgot to mention that only positive integer 1 can divide any other integer.
avatar
pankajvashist
avatar
Joined: 10 Jan 2013
Last visit: 23 Jan 2017
Posts: 36
Own Kudos:
11
Given Kudos: 5
Location: United States
Concentration: General Management, Operations
Schools: McCombs '18 (WL) Broad '18 (D) Krannert '18 (WL) Mays '18 (D) W. P. Carey Arizona State '18 (D) ISB '17 (D) Mason '18 (I) Ivey '18 (S)
GMAT 1: 710 Q49 V38
GPA: 3.02
WE:Design (Telecommunications)
Schools: McCombs '18 (WL) Broad '18 (D) Krannert '18 (WL) Mays '18 (D) W. P. Carey Arizona State '18 (D) ISB '17 (D) Mason '18 (I) Ivey '18 (S)
GMAT 1: 710 Q49 V38
Posts: 36
Kudos: 11
What is the value of positive integer m? 14 Sep 2015, 22:45
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I don't understand why statement 1 is not sufficient.
(1) The remainder when any integer is divided by m is less than 5. => if this is 6 remainder can be 5 and so on the only possible value is 5.

can you please explain.
avatar
vamse
avatar
Joined: 25 Aug 2015
Last visit: 13 Nov 2015
Posts: 2
Own Kudos:
1
Given Kudos: 1
Posts: 2
Kudos: 1
What is the value of positive integer m? 15 Sep 2015, 11:46
Kudos
Add Kudos
Bookmarks
Bookmark this Post
pankajvashist
I don't understand why statement 1 is not sufficient.
(1) The remainder when any integer is divided by m is less than 5. => if this is 6 remainder can be 5 and so on the only possible value is 5.

can you please explain.
Show more


Statement 1 does not give us anything concrete.. It just says that the remainder is always less than 5 when (any integer/m). With this m can be any integer.

With this I can have two cases -- 1/3 will give me 1 as my remainder which is less than 5 and satisfies statement 1 and in this case m is 3.
-- 1/5 will also give me 1 as remainder which is less than 5 and satisfies statement 1 but in this case m is 5.

Because we have more than one possible value for m so statement 1 is insufficient...

Hope this helps.. If so pls give me a kudos :-D
User avatar
ENGRTOMBA2018
User avatar
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
Posts: 2,319
Own Kudos:
3,890
Given Kudos: 816
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
Products:
My Reviews
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
Posts: 2,319
Kudos: 3,890
What is the value of positive integer m? 15 Sep 2015, 11:51
Kudos
Add Kudos
Bookmarks
Bookmark this Post
pankajvashist
I don't understand why statement 1 is not sufficient.
(1) The remainder when any integer is divided by m is less than 5. => if this is 6 remainder can be 5 and so on the only possible value is 5.

can you please explain.
Show more

For statement 1, whatever value you consider, make sure to keep the text in red ("any integer") in mind. If you consider 5 divided by 6 to give you 5, yes this is a possible value but what if 3/5 ? In this case you will end up getting 3 as your remainder. So you already got 2 different values, making statement 1 not sufficient.
User avatar
praneethuddagiri
User avatar
Joined: 02 Apr 2018
Last visit: 29 Sep 2019
Posts: 11
Own Kudos:
98
Given Kudos: 5
GMAT 1: 710 Q50 V34
GPA: 3.51
Products:
My Reviews
GMAT 1: 710 Q50 V34
Posts: 11
Kudos: 98
What is the value of positive integer m? 30 May 2018, 10:54
Kudos
Add Kudos
Bookmarks
Bookmark this Post
First statement gives us 1<=m<=5 where m is integer --> Not sufficient
Second is possible only if m is 1 --> sufficient

So only B is sufficient
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,964
Own Kudos:
1,117
Posts: 38,964
Kudos: 1,117
What is the value of positive integer m? 16 Dec 2023, 09:39
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109783 posts
kingbucky
498 posts
Gmat860sanskar
212 posts