Last visit was: 28 Mar 2025, 02:54 It is currently 28 Mar 2025, 02:54
Home
GMAT
Messages
Tests
Schools
Reviews
Rewards
Chat
My Profile
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
555-605 Level|   Remainders|      
User avatar
keiraria
User avatar
Joined: 05 Apr 2012
Last visit: 01 May 2017
Posts: 30
Own Kudos:
191
 [36]
Given Kudos: 12
Posts: 30
Kudos: 191
 [36]
If T divided by B equals 8.12 what is a possible remainder? Updated on: 12 Jun 2016, 07:01
Originally posted by keiraria on 06 May 2012, 09:48.
Last edited by Bunuel on 12 Jun 2016, 07:01, edited 2 times in total.
Edited the question
2
Kudos
Add Kudos
34
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

74% (01:19) correct 26% (01:38) wrong based on 473 sessions

History

Date
Time
Result
Not Attempted Yet
If T divided by B equals 8.12 what is a possible remainder?

A. 2
B. 8
C. 9
D. 26
E. 44
ShowHide Answer
Official Answer
C
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 28 March 2025
Posts: 100,116
Own Kudos:
711,470
 [11]
Given Kudos: 92,748
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: 100,116
Kudos: 711,470
 [11]
If T divided by B equals 8.12 what is a possible remainder? 06 May 2012, 10:19
3
Kudos
Add Kudos
8
Bookmarks
Bookmark this Post
keiraria
If T divided by B equals 8.12 what is a possible remainder?

A. 2
B. 8
C. 9
D. 26
E. 44

Given: \(\frac{T}{B}=8.12=8\frac{12}{100}=8\frac{3}{25}\), so the remainder must be a multiple of 3.

Answer: C.
General Discussion
avatar
pstrench
avatar
Joined: 12 Feb 2012
Last visit: 03 Nov 2016
Posts: 16
Own Kudos:
22
 [4]
Given Kudos: 2
Schools: McCombs '17 (A)
GPA: 4
Schools: McCombs '17 (A)
Posts: 16
Kudos: 22
 [4]
If T divided by B equals 8.12 what is a possible remainder? 06 May 2012, 10:01
2
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
With the decimal being 12/100, the simplest form is 3/25. If the divisor is a multiple of 25, the remainder must be a multiple of 3. The only number that is so is 9. Answer C.
User avatar
keiraria
User avatar
Joined: 05 Apr 2012
Last visit: 01 May 2017
Posts: 30
Own Kudos:
191
Given Kudos: 12
Posts: 30
Kudos: 191
If T divided by B equals 8.12 what is a possible remainder? 07 May 2012, 09:33
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
keiraria
If T divided by B equals 8.12 what is a possible remainder?

A. 2
B. 8
C. 9
D. 26
E. 44

Given: \(\frac{T}{B}=8.12=8\frac{12}{100}=8\frac{3}{25}\), so the remainder must be a multiple of 3.

Answer: C.
please why the remainder has to be a multiple of 3?
Thanks

best regards
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 28 March 2025
Posts: 100,116
Own Kudos:
711,470
 [2]
Given Kudos: 92,748
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: 100,116
Kudos: 711,470
 [2]
If T divided by B equals 8.12 what is a possible remainder? 07 May 2012, 09:43
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
keiraria
Bunuel
keiraria
If T divided by B equals 8.12 what is a possible remainder?

A. 2
B. 8
C. 9
D. 26
E. 44

Given: \(\frac{T}{B}=8.12=8\frac{12}{100}=8\frac{3}{25}\), so the remainder must be a multiple of 3.

Answer: C.
please why the remainder has to be a multiple of 3?
Thanks

best regards

\(x\) divided by \(y\) yields the remainder of \(r\) can always be expressed as: \(\frac{x}{y}=q+\frac{r}{y}\) (which is the same as \(x=qy+r\)), where \(q\) is the quotient and \(r\) is the remainder.

\(\frac{t}{b}=8\frac{3}{25}=8+\frac{3}{25}\), so according to the above \(\frac{r}{b}=\frac{3}{25}\), which means that \(r\) must be a multiple of 3. Only option C offers answer which is a multiple of 3.

Hope it's clear.
User avatar
LalaB
User avatar
Current Student
Joined: 23 Oct 2010
Last visit: 17 Jul 2016
Posts: 228
Own Kudos:
1,223
Given Kudos: 73
Location: Azerbaijan
Concentration: Finance
Schools: HEC '15 (A)
GMAT 1: 690 Q47 V38
Schools: HEC '15 (A)
GMAT 1: 690 Q47 V38
Posts: 228
Kudos: 1,223
If T divided by B equals 8.12 what is a possible remainder? 08 May 2012, 10:04
Kudos
Add Kudos
Bookmarks
Bookmark this Post
t/b=8 +0.12


Remainder/B=12/100=3/25

25*Remainder=3*B

ony answer choice C is divisible by 3

as Bunuel says - for more practice see the following - https://gmatclub.com/forum/if-x-and-y-are-positive-integers-such-that-x-y-132196.html hehe
avatar
sumit88
avatar
Joined: 31 Aug 2013
Last visit: 01 Dec 2013
Posts: 6
Own Kudos:
3
Given Kudos: 1
Posts: 6
Kudos: 3
If T divided by B equals 8.12 what is a possible remainder? 17 Nov 2013, 13:31
Kudos
Add Kudos
Bookmarks
Bookmark this Post
If T divided by B equals 8.12 what is a possible remainder?

A. 2
B. 8
C. 9
D. 26
E. 44

If t is divided by b,
ie t/b = 8.12
ie 8.12

8[12][/100] = 8[3][/5] ie 8 + 3/5
so, it means thats t/b = 3/25
ie t = 3b+25 where t is teh reaminder.

So,it means the remainder is the multiple of 3.
In these options, only 9 is a multiple of 3.
So answer is (c).
User avatar
stonecold
User avatar
Joined: 12 Aug 2015
Last visit: 09 Apr 2024
Posts: 2,257
Own Kudos:
3,385
Given Kudos: 893
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Posts: 2,257
Kudos: 3,385
If T divided by B equals 8.12 what is a possible remainder? 21 Mar 2016, 10:58
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
keiraria
If T divided by B equals 8.12 what is a possible remainder?

A. 2
B. 8
C. 9
D. 26
E. 44

Given: \(\frac{T}{B}=8.12=8\frac{12}{100}=8\frac{3}{25}\), so the remainder must be a multiple of 3.

Answer: C.


Hey But who told us that That T,B are integers ?
I guess this question isn't up to the mark.
thanks
User avatar
pvikas
User avatar
Joined: 03 Apr 2016
Last visit: 27 Apr 2018
Posts: 8
Own Kudos:
8
 [2]
Given Kudos: 1,219
Posts: 8
Kudos: 8
 [2]
If T divided by B equals 8.12 what is a possible remainder? 11 Jun 2016, 21:28
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
please add oa to the question stem.
User avatar
gracie
User avatar
Joined: 07 Dec 2014
Last visit: 11 Oct 2020
Posts: 1,042
Own Kudos:
1,780
Given Kudos: 27
Posts: 1,042
Kudos: 1,780
If T divided by B equals 8.12 what is a possible remainder? 11 Jun 2016, 21:42
Kudos
Add Kudos
Bookmarks
Bookmark this Post
quick plugin approach:
divide answers by .12
only 9 gives integer
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 28 March 2025
Posts: 100,116
Own Kudos:
711,470
Given Kudos: 92,748
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: 100,116
Kudos: 711,470
If T divided by B equals 8.12 what is a possible remainder? 12 Jun 2016, 07:02
Kudos
Add Kudos
Bookmarks
Bookmark this Post
pvikas
please add oa to the question stem.

_____________
Done. Thank you.
User avatar
Divyadisha
User avatar
Current Student
Joined: 18 Oct 2014
Last visit: 01 Jun 2018
Posts: 675
Own Kudos:
1,864
Given Kudos: 69
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT 1: 660 Q49 V31
Posts: 675
Kudos: 1,864
If T divided by B equals 8.12 what is a possible remainder? 12 Jun 2016, 08:51
Kudos
Add Kudos
Bookmarks
Bookmark this Post
keiraria
If T divided by B equals 8.12 what is a possible remainder?

A. 2
B. 8
C. 9
D. 26
E. 44

Remainder = .12= 12/100= 3/25

It must be multiple of 3. Only C is multiple of 3, and is the answer.
User avatar
JeffTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 04 Mar 2011
Last visit: 05 Jan 2024
Posts: 3,008
Own Kudos:
7,593
Given Kudos: 1,646
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Expert
Expert reply
Posts: 3,008
Kudos: 7,593
If T divided by B equals 8.12 what is a possible remainder? 23 Apr 2018, 17:33
Kudos
Add Kudos
Bookmarks
Bookmark this Post
keiraria
If T divided by B equals 8.12 what is a possible remainder?

A. 2
B. 8
C. 9
D. 26
E. 44

We can create the remainder equation of:

T/B = 8 + 12/100

T/B = 8 + 3/25

Thus, we see that the remainder must be a multiple of 3, so 9 is a possible remainder.

Answer: C
User avatar
PragyeeJaiman
User avatar
Joined: 05 May 2024
Last visit: 28 Dec 2024
Posts: 1
Posts: 1
Kudos: 0
If T divided by B equals 8.12 what is a possible remainder? 26 Dec 2024, 15:51
Kudos
Add Kudos
Bookmarks
Bookmark this Post
how does 12/100 becomes 3/25?
Bunuel
keiraria
If T divided by B equals 8.12 what is a possible remainder?

A. 2
B. 8
C. 9
D. 26
E. 44

Given: \(\frac{T}{B}=8.12=8\frac{12}{100}=8\frac{3}{25}\), so the remainder must be a multiple of 3.

Answer: C.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 28 March 2025
Posts: 100,116
Own Kudos:
711,470
Given Kudos: 92,748
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: 100,116
Kudos: 711,470
If T divided by B equals 8.12 what is a possible remainder? 26 Dec 2024, 23:49
Kudos
Add Kudos
Bookmarks
Bookmark this Post
PragyeeJaiman
how does 12/100 becomes 3/25?
Bunuel
keiraria
If T divided by B equals 8.12 what is a possible remainder?

A. 2
B. 8
C. 9
D. 26
E. 44

Given: \(\frac{T}{B}=8.12=8\frac{12}{100}=8\frac{3}{25}\), so the remainder must be a multiple of 3.

Answer: C.
This is done by reducing by 4:

\(\frac{12}{100} =\)

\(=\frac{4*3}{4*25} =\)

\(=\frac{3}{25}\)

Hope it's clear.
Moderators:
Bunuel
Math Expert
100116 posts
Krunaal
PS Forum Moderator
519 posts