BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
GMATLiveTeach Starts Oct 17
Chris Peckover, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Chris Peckover, 100th-Percentile GMAT Scorer

Oct 17 · Chris Peckover
Sat · 11:00 AM to 2:00 PM ET
Oct 20 · Chris Peckover
Tue, Thu · 8:00 to 10:00 PM ET
Oct 25 · Josh Braslow
Sun · 1:00 to 4:00 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemand 5 seats left Start anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

dividing of integers

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Senior | Next Rank: 100 Posts
Posts: 93
Joined: Mon Dec 14, 2009 4:15 am
by Lattefah84 » Thu Jan 14, 2010 9:02 am
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



I tried to solved as y= xq+r (q-quotient, r- remainder),

1=xq/y + r, 1=96.12q + 9/y ...


and I can't continue... where did I make a mistake?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members
Location: Vancouver, BC
Thanked: 5254 times
GMAT Score:770

by Brent@GMATPrepNow » Thu Jan 14, 2010 9:11 am
Lattefah84 wrote: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

I tried to solved as y= xq+r (q-quotient, r- remainder),

1=xq/y + r, 1=96.12q + 9/y ...
and I can't continue... where did I make a mistake?
There are a few ways to tackle this question.
One way is to examine a few other fractions.
7/2 = 3 1/2 = 3.5 (notice that 0.5 = 1/2)
11/4 = 2 3/4 = 2.75 (notice that 0.75 = 3/4)

So, we know that x/y = 96 9/y = 96.12 (we get the 9 part from the question, where it say the remainder is 9)

This means that 9/y = 0.12 or 9/y = 12/100
When we solve for y, we get y=75
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Senior | Next Rank: 100 Posts
Posts: 93
Joined: Mon Dec 14, 2009 4:15 am

by Lattefah84 » Thu Jan 14, 2010 11:54 am
Brent Hanneson wrote:
Lattefah84 wrote: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

I tried to solved as y= xq+r (q-quotient, r- remainder),

1=xq/y + r, 1=96.12q + 9/y ...
and I can't continue... where did I make a mistake?
There are a few ways to tackle this question.
One way is to examine a few other fractions.
7/2 = 3 1/2 = 3.5 (notice that 0.5 = 1/2)
11/4 = 2 3/4 = 2.75 (notice that 0.75 = 3/4)

So, we know that x/y = 96 9/y = 96.12 (we get the 9 part from the question, where it say the remainder is 9)

This means that 9/y = 0.12 or 9/y = 12/100
When we solve for y, we get y=75

thank you for the answer, but I still don't get it :( ... How can I conclude that x/y=96 and 9/y = 0.12?
the equation 1=xq/y + r is not correct? n it could be 93 + 3.12, or 52 + 44.12, or...
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 98
Joined: Mon Nov 23, 2009 2:30 pmFollowed by: 1 member
Thanked: 26 times

by ace_gre » Thu Jan 14, 2010 1:21 pm
Hi, Here is my approach..Similar to Brent's

given x = k*y + 9, where k is the quotient when x is divided by y---(1)
Also given x/y = 96.12 ==>96+ 0.12---(2)

Now ky is a whole number and is equal to 96 in eq 2.
So the fractional part is the remainder

0.12y=9
y=9/0.12 = 75.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 125
Joined: Mon Dec 15, 2008 9:24 pm

by joyseychow » Wed Jan 20, 2010 7:14 pm
Yup. It's 75.

In remainder questions, the value after decimal represents the remainder. In this case, it's 0.12.

x/y=96.12
x=y(96+0.12)

0.12y=9
y=75.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1