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 →

How many integers between 18 and 3399 are multiples of 17?

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members
Location: Las Vegas, USA
Thanked: 19 times
by Max@Math Revolution » Wed Feb 13, 2019 12:35 am

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

[GMAT math practice question]

How many integers between 18 and 3399 are multiples of 17?

A. 198
B. 199
C. 200
D. 201
E. 202
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 » Wed Feb 13, 2019 6:31 am
Max@Math Revolution wrote:[GMAT math practice question]

How many integers between 18 and 3399 are multiples of 17?

A. 198
B. 199
C. 200
D. 201
E. 202
Let's list the multiples of 17 that are between 18 and 3399 :
34 = 2(17)
51 = 3(17)
68 = 4(17)
85 = 5(17)
.
.
.
3383 = 199(17)

So, the number of multiples of 17 is EQUAL to the number of integers from 2 to 199 inclusive

ASIDE: A nice rule says: the number of integers from x to y inclusive equals y - x + 1
So, the number of integers from 2 to 199 inclusive = 199 - 2 + 1 = 198

Answer: A

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 amFollowed by: 37 members
Location: Las Vegas, USA
Thanked: 19 times

by Max@Math Revolution » Fri Feb 15, 2019 12:03 am
=>

18 = 17*1 + 1, 34 = 17*2 is the least multiple of 17 greater than 18.
3399 = 17*199 + 16, 3383 = 17*199 is the greatest multiple of 17 less than 3399.
Thus, the multiples of 17 between 18 and 3399 are 34=17*2, ... , 3383 = 17*199. There are 198 = (199 - 2) + 1 of these numbers as they are in one-to-one correspondence with the integers between 2 and 199, inclusive.

Therefore, the answer is A.
Answer: A
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1