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 →

If M is a set of five numbers

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 7187
Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members
by BTGmoderatorDC » Tue Feb 13, 2018 10:10 pm
If M is a set of five numbers p, q, r, s, and t, is the range of numbers in M greater than 5?

(1) The average (arithmetic mean) of p, q, r, s, and t is 5.
(2) p −r > 5.

What's the best way to determine which of the statement is sufficient?

OA B
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Data Sufficiency |

GMAT/MBA Expert

User avatar
Legendary Member
Posts: 503
Joined: Thu Jul 20, 2017 9:03 amFollowed by: 15 members
Thanked: 86 times
GMAT Score:770

by ErikaPrepScholar » Wed Feb 14, 2018 6:40 am
Let's solve this problem by coming up with easy examples:

Statement 1
This tells us that $$\frac{p+q+r+s+t}{5}=5$$ We could have 3, 4, 5, 6, and 7 as the numbers in M, giving us a range of 4, making the answer to the question "no, the range of M is not greater than 5. However, we could also have 1, 3, 5, 7, and 9 as the numbers in M, giving us a range of 8, making the answer to the question "yes, the range of M is greater than 5. Insufficient.

Statement 2
If p - r > 5, then p is 5 greater than r. This means that the range of p and r is greater than 5. Even if p is the greatest number in M and r is the smallest number in M, that makes the range of all the numbers in M greater than 5. If another number in M is greater than p or smaller than r, that makes the range even bigger. So the range of M is greater than 5. Sufficient.
Image

Erika John - Content Manager/Lead Instructor
https://gmat.prepscholar.com/gmat/s/

Get tutoring from me or another PrepScholar GMAT expert: https://gmat.prepscholar.com/gmat/s/tutoring/

Learn about our exclusive savings for BTG members (up to 25% off) and our 5 day free trial

Check out our PrepScholar GMAT YouTube channel, and read our expert guides on the PrepScholar GMAT blog
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1