GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Oct 2018, 22:40

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
avatar
Joined: 09 Jun 2015
Posts: 94
Re: What is the range of a set consisting of the first 100 multi  [#permalink]

Show Tags

New post 14 Mar 2016, 04:59
alimad 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

Multiple of 7 greater than 70 is 77 = 11*7 (the first term)
The last term is 110*7=770 ( the last term)
Range = 770-77 = 693 or simply 99*7 =693
Current Student
User avatar
D
Joined: 12 Aug 2015
Posts: 2638
Schools: Boston U '20 (M)
GRE 1: Q169 V154
GMAT ToolKit User Premium Member
Re: What is the range of a set consisting of the first 100 multi  [#permalink]

Show Tags

New post 12 Dec 2016, 13:33
Manager
Manager
User avatar
B
Joined: 22 May 2017
Posts: 90
GMAT 1: 580 Q41 V29
GMAT 2: 580 Q43 V27
Re: What is the range of a set consisting of the first 100 multi  [#permalink]

Show Tags

New post 16 Feb 2018, 09:31
Attachment:
1518798674399.jpeg
1518798674399.jpeg [ 961.94 KiB | Viewed 211 times ]


Sent from my Redmi Note 3 using GMAT Club Forum mobile app
Manager
Manager
avatar
B
Joined: 24 Sep 2018
Posts: 122
CAT Tests
Re: What is the range of a set consisting of the first 100 multi  [#permalink]

Show Tags

New post 26 Sep 2018, 03:57
The Testmaker here is trying to confuse the reader to complicate the math. However, if we conceptually understand the nature of range, we can see the math is fairly simple.
Quote:
The problem begins with the notion of 100 multiples of 7 greater than 70. Naturally, the first multiple would be 77, the second multiple would be 84, etc. In other words, the Nth multiple of N greater than 70 could be calculated with the equation 70 + 7(N). To calculate the range, we would subtract the 100th multiple from the 1st multiple:

[(70 + 7(100)] - [70 + 7(1)]

7(100) - 7(1)

700 - 7

Quote:
There is an even easier solution, however. As we can see, the two values of 70 cancel. This underscores a fundamental notion of range: if we add the same value to every element in a set, this doesn’t change the range. If we recognized this concept from the very beginning, the math to this problem becomes even simpler. We simply need to subtract the 100th multiple of 7 from the 1st multiple of 7 to get our answer (700 – 7 = 693).

The answer is “A”.
_________________

Please award :thumbup: kudos, If this post helped you in someway. :student_man:

GMAT Club Bot
Re: What is the range of a set consisting of the first 100 multi &nbs [#permalink] 26 Sep 2018, 03:57

Go to page   Previous    1   2   [ 24 posts ] 

Display posts from previous: Sort by

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.