Last visit was: 19 Nov 2025, 14:26 It is currently 19 Nov 2025, 14:26
Home
GMAT
Messages
Tests
Schools
Events
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
   1   2 
555-605 Level|   Remainders|                                    
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 19 Nov 2025
Posts: 6,839
Own Kudos:
16,354
 [1]
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
My Reviews
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,839
Kudos: 16,354
 [1]
When positive integer x is divided by positive integer y, the remainde 18 Oct 2021, 07:42
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
ajit257
When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?

(A) 96
(B) 75
(C) 48
(D) 25
(E) 12
Show more


Answer: Option B

Step-by-Step Video solution by GMATinsight

User avatar
PGTLrowanhand
User avatar
Joined: 30 Oct 2012
Last visit: 19 Nov 2025
Posts: 75
Own Kudos:
174
 [1]
Given Kudos: 3
Status:London UK GMAT Consultant / Tutor
Expert
Expert reply
Posts: 75
Kudos: 174
 [1]
When positive integer x is divided by positive integer y, the remainde 21 Mar 2022, 09:24
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hi GMATters,

Here is my video explanation of this problem:

User avatar
woohoo921
User avatar
Joined: 04 Jun 2020
Last visit: 17 Mar 2023
Posts: 516
Own Kudos:
142
Given Kudos: 623
Posts: 516
Kudos: 142
When positive integer x is divided by positive integer y, the remainde 24 Oct 2022, 18:27
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
ajit257
When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?
A. 96
B. 75
C. 48
D. 25
E. 12

Any faster way to solve this ?

When positive integer x is divided by positive integer y, the remainder is 9 --> x=qy+9;
x/y=96.12 --> x=96y+0.12y (so q above equals to 96);

0.12y=9 --> y=75.

Answer: B.
Show more

Bunuel
I realize that this question is elementary, but if I follow your approach...

(X/Y)=Q+9
--> X=QY+9Y
Why don't you multiply the 9 by Y?

Thank you.
User avatar
EMPOWERgmatRichC
User avatar
Major Poster
Joined: 19 Dec 2014
Last visit: 31 Dec 2023
Posts: 21,784
Own Kudos:
12,807
 [1]
Given Kudos: 450
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Expert
Expert reply
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Posts: 21,784
Kudos: 12,807
 [1]
When positive integer x is divided by positive integer y, the remainde 25 Oct 2022, 14:13
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
woohoo921
Bunuel
ajit257
When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?
A. 96
B. 75
C. 48
D. 25
E. 12

Any faster way to solve this ?

When positive integer x is divided by positive integer y, the remainder is 9 --> x=qy+9;
x/y=96.12 --> x=96y+0.12y (so q above equals to 96);

0.12y=9 --> y=75.

Answer: B.

Bunuel
I realize that this question is elementary, but if I follow your approach...

(X/Y)=Q+9
--> X=QY+9Y
Why don't you multiply the 9 by Y?

Thank you.
Show more

Hi woohoo921,

In this prompt, the '9' is the remainder (it's the 'left-over' piece outside of the division that takes place), so you don't end up multiplying it when getting rid of the fraction. You can prove this concept by TESTing VALUES. For example:

15/6 = 2 r 3
15 = 6(2) + 3

GMAT assassins aren't born, they're made,
Rich

Contact Rich at: Rich.C@empowergmat.com
User avatar
BrushMyQuant
User avatar
Joined: 05 Apr 2011
Last visit: 21 Oct 2025
Posts: 2,284
Own Kudos:
2,552
Given Kudos: 100
Status:Tutor - BrushMyQuant
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
GPA: 3
WE:Information Technology (Computer Software)
Expert
Expert reply
Schools: XLRI (A)
GMAT 1: 700 Q51 V31
Posts: 2,284
Kudos: 2,552
When positive integer x is divided by positive integer y, the remainde 28 Dec 2023, 04:00
Kudos
Add Kudos
Bookmarks
Bookmark this Post
When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?

\(\frac{x}{y}\) = 96.12
=> x = 96.12y = (96 + 0.12)y = 96y + 0.12y

=> x when divided by y gives 96 as the quotient and 0.12y as the remainder
=> 0.12y = 9
=> y = \(\frac{9}{0.12}\) = 75

So, Answer will be B
Hope it helps!

Watch the following video to MASTER Remainders

User avatar
bumbleBee3445
User avatar
Joined: 05 Oct 2024
Last visit: 23 Mar 2025
Posts: 13
Own Kudos:
4
Given Kudos: 29
Posts: 13
Kudos: 4
When positive integer x is divided by positive integer y, the remainde 29 Jan 2025, 08:34
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ajit257
When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?

(A) 96
(B) 75
(C) 48
(D) 25
(E) 12
Show more
Here, x=y*int+9 is given.
also x/y=96.12
i.e x/y=(96+0.12)
x=96y+0.12y Compare this equation with x=y*int+9
0.12y=9 Hence, y=9/0.12=300/4=75

Ans: y=75
User avatar
Kinshook
User avatar
Major Poster
Joined: 03 Jun 2019
Last visit: 19 Nov 2025
Posts: 5,794
Own Kudos:
5,511
Given Kudos: 161
Location: India
Schools: HBS '26 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
My Reviews
Schools: HBS '26 CBS '26 Wharton '26
GMAT 1: 690 Q50 V34
Posts: 5,794
Kudos: 5,511
When positive integer x is divided by positive integer y, the remainde 02 May 2025, 22:00
Kudos
Add Kudos
Bookmarks
Bookmark this Post
When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?

x = 96y + .12y
Where .12y is the remainder and is an integer less than y

Remainder = .12y = 9
y = 9/.12 =75

IMO B
User avatar
itspksoul
User avatar
Joined: 18 Aug 2023
Last visit: 25 Oct 2025
Posts: 3
Given Kudos: 42
Location: India
Posts: 3
Kudos: 0
When positive integer x is divided by positive integer y, the remainde 23 Aug 2025, 00:32
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ajit257
When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?

(A) 96
(B) 75
(C) 48
(D) 25
(E) 12
Show more
Reminder is 9 and X/Y =96.12 which means reminder is 0.12
so, 0.12y = 9 then 1y = ?
y = 9/0.12 =75
User avatar
egmat
User avatar
e-GMAT Representative
Joined: 02 Nov 2011
Last visit: 19 Nov 2025
Posts: 5,108
Own Kudos:
32,887
Given Kudos: 700
GMAT Date: 08-19-2020
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 5,108
Kudos: 32,887
When positive integer x is divided by positive integer y, the remainde 06 Oct 2025, 06:31
Kudos
Add Kudos
Bookmarks
Bookmark this Post
I can see why this question might seem tricky at first – connecting that decimal 0.12 to a remainder of 9 isn't immediately obvious. But once you see the relationship, these problems become much clearer. Let me walk you through this.

Here's the key insight you need:

When we're told that \(x/y = 96.12\) with a remainder of 9, that decimal part (0.12) is actually telling us something very specific. Let's think about what's happening here.

The whole number 96 is our quotient – that's how many complete times \(y\) goes into \(x\). But what about that 0.12?

Notice how we also have a remainder of 9. Here's the connection: the decimal portion represents the remainder divided by the divisor. In other words:

\(0.12 = \frac{9}{y}\)

This is the relationship that unlocks the problem!

Now let's solve for y:

From \(0.12 = \frac{9}{y}\), we can rearrange to get:

\(y = \frac{9}{0.12}\)

To make this easier, let's convert 0.12 to a fraction:
\(0.12 = \frac{12}{100} = \frac{3}{25}\)

So now we have:
\(y = 9 \div \frac{3}{25} = 9 \times \frac{25}{3} = \frac{225}{3} = 75\)

Let's verify this makes sense:

If \(y = 75\), then \(x = 96.12 \times 75 = 7,209\)

Checking: \(7,209 \div 75 = 96\) remainder \(9\) ✓

And indeed, \(\frac{9}{75} = 0.12\) ✓

Answer: (B) 75

The complete solution on Neuron shows you the systematic framework for tackling all remainder problems like this, including the pattern recognition technique that helps you spot this decimal-remainder relationship instantly. You can check out the detailed step-by-step solution on Neuron to understand this concept systematically and see the common traps students fall into. You can also explore other GMAT official questions with comprehensive solutions on Neuron for structured practice with detailed analytics.

Hope this helps!
User avatar
DanTheGMATMan
User avatar
Joined: 02 Oct 2015
Last visit: 18 Nov 2025
Posts: 378
Own Kudos:
227
Given Kudos: 9
Expert
Expert reply
Posts: 378
Kudos: 227
When positive integer x is divided by positive integer y, the remainde 21 Oct 2025, 07:38
Kudos
Add Kudos
Bookmarks
Bookmark this Post
   1   2 
Moderators:
Bunuel
Math Expert
105390 posts
Krunaal
Tuck School Moderator
805 posts