|
Author |
Message |
|
TAGS:
|
|
|
Intern
Joined: 05 May 2012
Posts: 9
Followers: 0
Kudos [?]:
0
[0], given: 7
|
How many multiples of 7 between 100 and 150? [#permalink]
 10 May 2012, 05:45
Hey everyone. As you can see, I need help with something so simple. I'm sure the answer is right in front of me and I can't see it. They use the above question in Manhattan Number Properties. They start listing multiples: 105, 112,119,126, 133, 140, 147. The thing that is not clear to me is how I know to start with 105 instead of say, 103 or 101.
|
|
|
|
|
|
|
Founder
Status: On Vacation :-)
Affiliations: UA-1K, SPG-G, HH-D
Joined: 04 Dec 2002
Posts: 10403
Location: United States (WA)
GMAT 1: 750 Q49 V42
GPA: 3.5
WE: Information Technology (Hospitality and Tourism)
Followers: 1369
Kudos [?]:
4198
[2] , given: 3122
|
Re: How many multiples of 7 between 100 and 150? [#permalink]
10 May 2012, 06:22
2
This post received
KUDOS
The first multiple of 7 that is greater than 100, is 105. (70+35 = 105). The one before that is 98, and that's less than 100. This is the most reliable way to solve the question (listing). Another is to subtract 100 from 150 and divide that by 7 but that does not always work well. In this case, it does since 50 divided by 7 is 7. Hope this helps.
_________________
Founder of GMAT Club
Just starting out with GMAT? Start here... | Want to know your GMAT Score? Try GMAT Score Estimator
Need GMAT Book Recommendations? Best GMAT Books
Co-author of the GMAT Club tests
Find out what's new at GMAT Club - latest features and updates
|
|
|
|
|
|
Intern
Joined: 05 May 2012
Posts: 9
Followers: 0
Kudos [?]:
0
[0], given: 7
|
Re: How many multiples of 7 between 100 and 150? [#permalink]
10 May 2012, 06:37
bb wrote: The first multiple of 7 that is greater than 100, is 105. (70+35 = 105).
The one before then is 98, and that's less than 100.
This is the most reliable way to solve the question (listing).
Another is to subtract 100 from 150 and divide that by 7 but that does not always work well. In this case, it does since 50 divided by 7 is 7.
Hope this helps. Wow. Makes perfect sense. Thanks a lot.
|
|
|
|
|
|
Intern
Joined: 16 Feb 2012
Posts: 34
Location: United States
Concentration: Entrepreneurship, Technology
GMAT 1: 690 Q47 V38
GPA: 3.7
Followers: 0
Kudos [?]:
9
[1] , given: 2
|
Re: How many multiples of 7 between 100 and 150? [#permalink]
11 May 2012, 11:26
1
This post received
KUDOS
My thought process: Smallest multiple > 100 = 105, multiple 105/7 = 15 greatest multiple < 150 = 147, multiple 147/7 = 21, Therefore total number of multiples = 21-15 +1 = 7
_________________
Keeping up the spirit. Target = 750
|
|
|
|
|
|
Manager
Joined: 19 Apr 2009
Posts: 84
Location: San Francisco, California
Followers: 23
Kudos [?]:
98
[2] , given: 0
|
Re: How many multiples of 7 between 100 and 150? [#permalink]
11 May 2012, 18:40
2
This post received
KUDOS
Response in attached images.
Attachments
image7.png [ 102.45 KiB | Viewed 2079 times ]
image8.png [ 45.02 KiB | Viewed 2075 times ]
_________________
Free Video Explanations: OFFICIAL GUIDE GMAT 13, 12, 11, 10; QUANT REVIEW 2nd, 1st.
|
|
|
|
|
|
Manager
Joined: 19 Apr 2009
Posts: 84
Location: San Francisco, California
Followers: 23
Kudos [?]:
98
[0], given: 0
|
Re: How many multiples of 7 between 100 and 150? [#permalink]
11 May 2012, 18:47
Slightly different approach, once the beginning and ends are established.
Attachments
image9.png [ 95.66 KiB | Viewed 2075 times ]
_________________
Free Video Explanations: OFFICIAL GUIDE GMAT 13, 12, 11, 10; QUANT REVIEW 2nd, 1st.
|
|
|
|
|
|
Founder
Status: On Vacation :-)
Affiliations: UA-1K, SPG-G, HH-D
Joined: 04 Dec 2002
Posts: 10403
Location: United States (WA)
GMAT 1: 750 Q49 V42
GPA: 3.5
WE: Information Technology (Hospitality and Tourism)
Followers: 1369
Kudos [?]:
4198
[0], given: 3122
|
Re: How many multiples of 7 between 100 and 150? [#permalink]
20 May 2012, 20:58
mdavidm531 wrote: gmatz101 wrote: Hey everyone. As you can see, I need help with something so simple. I'm sure the answer is right in front of me and I can't see it. They use the above question in Manhattan Number Properties. They start listing multiples: 105, 112,119,126, 133, 140, 147. The thing that is not clear to me is how I know to start with 105 instead of say, 103 or 101. Per Manhattan GMAT: (last - first) / multiple + 1 Hm.... so that would be Step 1: (150 - 100) = 50 Step 2: \frac{50}{7} = 7 Step 3: 7+1 = 8 ? I think you meant (Last - First +1)/Multiple
_________________
Founder of GMAT Club
Just starting out with GMAT? Start here... | Want to know your GMAT Score? Try GMAT Score Estimator
Need GMAT Book Recommendations? Best GMAT Books
Co-author of the GMAT Club tests
Find out what's new at GMAT Club - latest features and updates
|
|
|
|
|
|
|
Re: How many multiples of 7 between 100 and 150?
[#permalink]
20 May 2012, 20:58
|
|
|
|
|
|
|
|
|
Similar topics |
Author |
Replies |
Last post |
|
Similar
Topics:
|
 |
|
|
How many integers between 100 and 150, inclusive, can be
|
Praetorian |
8 |
01 Oct 2003, 16:26 |
|
|
|
|
How many integers between 100 and 150, inclusive, can be
|
Praetorian |
1 |
07 Dec 2003, 20:12 |
|
|
|
|
How many integers between 100 and 150, inclusive, can be
|
Seyi |
3 |
07 Dec 2004, 18:23 |
|
|
|
|
How many integers, between 100 and 150, inclusive, can be
|
NM |
5 |
01 Jul 2005, 15:14 |
|
|
1
|
|
How many integers between 100 and 150, inclusive, cannot be
|
amitdgr |
8 |
03 Nov 2008, 09:24 |
|
|
|
|
|
|
close
