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

What is the range of a set consisting of the first 100

Expert replies
Post new topic Post Reply
Subscribe topic
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 76
Joined: Sat Sep 29, 2012 11:19 am
Thanked: 3 times
by Azizakaria » Thu Feb 11, 2016 5:52 am
What is the range of a set consisting of the first 100 multiples of 7 that are
greater than 70?
(A) 693
(B) 700
(C) 707
(D) 777
(E) 847

why the answer is a
is there some kind of a rule here or equation ?
Top
Join the discussion
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members
Location: New York, NY
Thanked: 13060 times
GMAT Score:790

by GMATGuruNY » Thu Feb 11, 2016 5:54 am
What is the range of a set consisting of the first 100 multiples of 7 that are greater than 70?
(A) 693
(B) 700
(C) 707
(D) 777
(E) 847
Range = biggest - smallest.

Any set of 100 consecutive multiples of 7 will have the SAME RANGE.
Thus, the problem above is the same as the following:
What is the range of the first 100 positive multiples of 7?

First positive multiple of 7 = 1*7 = 7.
100th positive multiple of 7 = 100*7 = 700.
Range = biggest - smallest = 700-7 = 693.

The correct answer is A.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Join the discussion
Senior | Next Rank: 100 Posts
Posts: 76
Joined: Sat Sep 29, 2012 11:19 am
Thanked: 3 times

by Azizakaria » Thu Feb 11, 2016 6:07 am
Range = biggest - smallest.

Any set of 100 consecutive multiples of 7 will have the SAME RANGE.
Thus, the problem above is the same as the following:
What is the range of the first 100 positive multiples of 7?

First positive multiple of 7 = 1*7 = 7.
100th positive multiple of 7 = 100*7 = 700.
Range = biggest - smallest = 700-7 = 693.

The correct answer is A.[/quote]

Yes, but it says " that are greater than 70" how it can be the same as "the first 100 positive multiples of 7" ?
shouldn't I add 70 to the total because I'm skipping the 7 multiplies till 70 ?
Top
Join the discussion
User avatar
Legendary Member
Posts: 2663
Joined: Wed Jan 14, 2015 8:25 amFollowed by: 128 members
Location: Boston, MA
Thanked: 1153 times
GMAT Score:770

by DavidG@VeritasPrep » Thu Feb 11, 2016 6:19 am
Azizakaria wrote:Range = biggest - smallest.

Any set of 100 consecutive multiples of 7 will have the SAME RANGE.
Thus, the problem above is the same as the following:
What is the range of the first 100 positive multiples of 7?

First positive multiple of 7 = 1*7 = 7.
100th positive multiple of 7 = 100*7 = 700.
Range = biggest - smallest = 700-7 = 693.

The correct answer is A.

Yes, but it says " that are greater than 70" how it can be the same as "the first 100 positive multiples of 7" ?
shouldn't I add 70 to the total because I'm skipping the 7 multiplies till 70 ?
No - the first multiple of 7 greater than 70 is 70 + 1*7 = 77.
The 100th multiple of 7 greater than 70 is 70 + 100*7 = 770.
Range = 770 - 77 = 693.

Mitch was simply showing that the range from 77 to 770 will be identical to the range from 7 to 700, because you're changing both the high and the low by 70, and thus not altering the range.
Last edited by DavidG@VeritasPrep on Thu Feb 11, 2016 6:54 am, edited 1 time in total.
Veritas Prep | GMAT Instructor

Veritas Prep Reviews
Save $100 off any live Veritas Prep GMAT Course
Top
Join the discussion
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members
Location: New York, NY
Thanked: 13060 times
GMAT Score:790

by GMATGuruNY » Thu Feb 11, 2016 6:27 am
Azizakaria wrote:
Range = biggest - smallest.

Any set of 100 consecutive multiples of 7 will have the SAME RANGE.
Thus, the problem above is the same as the following:
What is the range of the first 100 positive multiples of 7?

First positive multiple of 7 = 1*7 = 7.
100th positive multiple of 7 = 100*7 = 700.
Range = biggest - smallest = 700-7 = 693.

The correct answer is A
.

Yes, but it says " that are greater than 70" how it can be the same as "the first 100 positive multiples of 7" ?
shouldn't I add 70 to the total because I'm skipping the 7 multiplies till 70 ?
ANY SET of 100 consecutive multiples of x will have the SAME RANGE.

Case 1: First 100 positive multiples of 7
smallest = 1*7 = 7.
biggest = 100*7 = 700.
range = biggest - smallest = 700-7 = 693.

Case 2: First 100 positive multiple of 7 greater than 70
To determine the smallest and the biggest, add 70 to each of the blue values in Case 1.
smallest = 7 + 70 = 77.
biggest = 700 + 70 = 770.
range = biggest - smallest = 770 - 77 = 693.

In each case, the range is 693.
The reason:
When we proceed from Case 1 to Case 2, the two values used to calculate the range -- the smallest and the biggest -- each increase by the SAME AMOUNT (70).
Since both values increase by the same amount, their difference does not change.
The result:
The range in each case is THE SAME.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Join the discussion
GMAT Instructor
Posts: 2629
Joined: Wed Sep 12, 2012 3:32 pmFollowed by: 119 members
Location: East Bay all the way
Thanked: 625 times
GMAT Score:780

by Matt@VeritasPrep » Thu Feb 11, 2016 5:42 pm
Or, put in one equation, you're going from

70 + 1*7

to

70 + 100*7

so your range is 77 to 770, or 693.
Top
Join the discussion
Senior | Next Rank: 100 Posts
Posts: 33
Joined: Thu Dec 20, 2018 2:09 am

by masoom j negi » Fri Dec 21, 2018 9:16 pm
The elements of the set are (70+1x7) , (70+2x7), ………………., (70+100 x 7).
This will be an A.P with positive common difference. So, first term is the lowest and last term is the highest.
First term = 77 & last term = 770
Range = 770 – 77 = 693
Top
Join the discussion

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8246
Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members
Location: Los Angeles, CA
Thanked: 43 times

by Scott@TargetTestPrep » Mon Feb 18, 2019 6:00 pm
Azizakaria wrote:What is the range of a set consisting of the first 100 multiples of 7 that are
greater than 70?
(A) 693
(B) 700
(C) 707
(D) 777
(E) 847
The first multiple of 7 that works is 11 x 7 = 77.

The 100th multiple of 7 (after 77) is 77 + 99 x 7 = 770.

So the range is 770 - 77 = 693.

Answer: A

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Join the discussion