Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.

See classes
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.

Newsweek Readers’ Choice Awards 2026 winner: Target Test Prep, #1 Test Prep

Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.

★★★★★5.0563 reviews
GMATLiveTeachStarts Nov 22
Josh Braslow, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Josh Braslow, 20+ years in test prep

Nov 22 · Josh Braslow
Sun · 9:30 AM to 12:30 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
EALiveTeachOnDemandStart anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

EXECUTIVE ASSESSMENT

with

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
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
GMATOnDemandStart 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 563 reviewsTarget Test Prep

x,y,z are positive integers

Expert replies
Post new topic Post Reply
Subscribe topic
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 447
Joined: Sun Apr 19, 2009 9:08 pm
Location: Kolkata,India
Thanked: 7 times
GMAT Score:670
by uptowngirl92 » Wed Jul 22, 2009 5:17 am
If x,y,z are positive integers,and x!+x/z=y,then what is the value of z?
1. x is a factor of y
2. z<x

Guys,plugging in got me no where..Ijust went blindly plugging in random nos,didnt succeed and ended up getting the answer wrong.any ideas?
Top
Join the discussion
Source: — Data Sufficiency |
Master | Next Rank: 500 Posts
Posts: 131
Joined: Wed May 06, 2009 1:01 pm
Location: Chicago
Thanked: 7 times

by vinayakdl » Wed Jul 22, 2009 6:08 am
I will go with A

simplifying x!+x/z=y---1

z = (x/(y-x!))---2

1) as per 2 above the if x is factor of y then

z = (x/(ax-x!)) which means z = 1 since all are integers

2) is not sufficient (4,26,2),(4,28,1)

good Q, what is the source?


Vinayak
Top
Join the discussion
Master | Next Rank: 500 Posts
Posts: 179
Joined: Mon Dec 29, 2008 4:41 am
Thanked: 2 times

by abhinav85 » Wed Jul 22, 2009 8:15 am
z = (x/(ax-x!)) which means z = 1 since all are integers
how u get this man???[/spoiler]
Top
Join the discussion
Master | Next Rank: 500 Posts
Posts: 131
Joined: Wed May 06, 2009 1:01 pm
Location: Chicago
Thanked: 7 times

by vinayakdl » Wed Jul 22, 2009 8:20 am
abhinav85 wrote:
z = (x/(ax-x!)) which means z = 1 since all are integers
how u get this man???[/spoiler]
Here is my reasoning.

x!+x/z=y

x/z = y-x!

x = z(y-x!)
z = x/(y-x!)

since x is a factor of y we can write y = a*x
so
z = x/(ax-x(x-1)!) = 1/(a-(x-1)!)
and since z is supposed to be an integer so are 'a' and 'x'
z will be '1'. Let me know if i am missing something.

uptowngirl92 can you please post OA?

Vinayak
Top
Join the discussion
Master | Next Rank: 500 Posts
Posts: 447
Joined: Sun Apr 19, 2009 9:08 pm
Location: Kolkata,India
Thanked: 7 times
GMAT Score:670

by uptowngirl92 » Thu Jul 23, 2009 1:18 am
Guys OA is C.Could somebody please explain?
Top
Join the discussion
User avatar
Junior | Next Rank: 30 Posts
Posts: 23
Joined: Thu Feb 26, 2009 1:19 am
Thanked: 3 times
GMAT Score:650

explanation to OA

by vyomb » Thu Jul 23, 2009 3:19 am
Can some one pls post the explanation to the OA?
Top
Join the discussion
User avatar
Junior | Next Rank: 30 Posts
Posts: 23
Joined: Thu Feb 26, 2009 1:19 am
Thanked: 3 times
GMAT Score:650

explanation to OA

by vyomb » Thu Jul 23, 2009 3:21 am
Can some one pls post the explanation to the OA?
Top
Join the discussion
Master | Next Rank: 500 Posts
Posts: 131
Joined: Wed May 06, 2009 1:01 pm
Location: Chicago
Thanked: 7 times

by vinayakdl » Thu Jul 23, 2009 12:18 pm
uptowngirl92 what is the source of this Q?

Does the answer come with any explanation?
I think OA might be wrong.

Thanks
Vinayak
Top
Join the discussion
Legendary Member
Posts: 1161
Joined: Mon May 12, 2008 2:52 amFollowed by: 1 member
Location: Sydney
Thanked: 23 times

by mehravikas » Thu Jul 23, 2009 4:54 pm
Answer should be A.

Z has a value of 1 for x to be a factor of y
Top
Join the discussion