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
OA A
Source: GMAT Prep
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
What is the range of a set consisting of the first 100 multi
This topic has expert replies
-
BTGmoderatorDC
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
GMAT/MBA Expert
-
Jay@ManhattanReview
- GMAT Instructor
- Posts: 3008
- Joined: Mon Aug 22, 2016 6:19 am
- Location: Grand Central / New York
- Thanked: 470 times
- Followed by:34 members
A few first multiples of 7 that are greater than 70 are 77, 84, 98, ...; we can write them as 7*11; 7*12: 7*13.BTGmoderatorDC 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
OA A
Source: GMAT Prep
So, the first multiple of 7 that is greater than 70 = 7*11;
and the 100th multiple of 7 that is greater than 70 = 7*110
Thus, range = 7*110 - 7*11 = 7(110 - 11) = 7*99 = 693
The correct answer: A
Hope this helps!
-Jay
_________________
Manhattan Review GMAT Prep
Locations: GRE Manhattan | ACT Prep Courses San Francisco | IELTS Prep Courses Boston | Seattle IELTS Tutoring | and many more...
Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.
GMAT/MBA Expert
-
Ian Stewart
- GMAT Instructor
- Posts: 2621
- Joined: Mon Jun 02, 2008 3:17 am
- Location: Montreal
- Thanked: 1090 times
- Followed by:355 members
- GMAT Score:780
The range of one hundred consecutive multiples of 7 will always be the same no matter what the smallest value in your list is, so we can just find the range of 7, 14, 21..., 693, 700, which is 700-7 =693.
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com
ianstewartgmat.com
ianstewartgmat.com
