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

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

Given that x is a positive integer, what is the greatest

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 1622
Joined: Thu Mar 01, 2018 7:22 amFollowed by: 2 members
by Gmat_mission » Sat Apr 06, 2019 4:58 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

Given that x is a positive integer, what is the greatest common divisor (GCD) of the two positive integers, (x+m) and (x-m)?

(1) m^2 - 10m + 16 = 0
(2) x + 26 is a prime number.

[spoiler]OA=C[/spoiler]

Source: Veritas Prep
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Data Sufficiency |
Legendary Member
Posts: 2214
Joined: Fri Mar 02, 2018 2:22 pmFollowed by: 5 members

by deloitte247 » Wed Apr 10, 2019 7:28 am
Question=> what is the greatest common division (GCD) of the two positive integers (x+m) and (x-m)?
$$Statement 1=>m^2-10m+16=0$$
$$\left(m-8\right)\left(m-2\right)=0$$
$$m=8\ or\ 2\ \ \ \left(Value\ of\ m\ is\ unknown\right)$$
$$STATEMENT\ 1\ IS\ INSUFFICIENT$$

$$Statement 2=>x+26\ is\ a\ prime\ number$$
This means that the value of x must be a prime number or odd number, but the value of m is unknown. Hence, STATEMENT 2 IS INSUFFICIENT

Combining the two statements together;
m=8 or m=2
x+26= prime number; x is an odd number

odd + m (2 or 8) => ODD
odd - m (2 or 8) => ODD
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1