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# What is the total number of integers between 100 and 200

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Director
Joined: 05 Jan 2008
Posts: 687
What is the total number of integers between 100 and 200 [#permalink]

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21 Mar 2008, 21:48
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What is the total number of integers between 100 and 200 that are divisible by 3?
(A) 33
(B) 32
(C) 31
(D) 30
(E) 29

What is the easiest way to solve such problems
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Senior Manager
Joined: 15 Aug 2007
Posts: 252
Schools: Chicago Booth

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21 Mar 2008, 22:32
should be A-33.

Just do 100/3. for every three numbers there is a 3 multiple.
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Joined: 17 Nov 2007
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Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
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22 Mar 2008, 00:07
sreehari wrote:
should be A-33.

Just do 100/3. for every three numbers there is a 3 multiple.

What do you say about the total number of integers between 99 and 199 that are divisible by 3?
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Joined: 15 Aug 2007
Posts: 252
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22 Mar 2008, 06:56
walker wrote:
sreehari wrote:
should be A-33.

Just do 100/3. for every three numbers there is a 3 multiple.

What do you say about the total number of integers between 99 and 199 that are divisible by 3?

Including the boundaries? Obviously need to consider two things in such situations - boundaries, and rounding.
CEO
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22 Mar 2008, 11:09
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Yes, it is a GMAT trap. I use always a formula:

$$N=\frac{Ne-Nb}{d}+1$$

100..200: $$N=\frac{198-102}{3}+1=33$$

99..199: $$N=\frac{198-99}{3}+1=34$$
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Joined: 18 Feb 2008
Posts: 495
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22 Mar 2008, 11:32
walker could u plz elaborate what is nb ne?could not get....
CEO
Joined: 17 Nov 2007
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Concentration: Entrepreneurship, Other
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22 Mar 2008, 11:51
suyashjhawar wrote:
walker could u plz elaborate what is nb ne?could not get....

see here: 7-t61502
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Re: What is the total number of integers between 100 and 200 [#permalink]

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05 Sep 2015, 03:05
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: What is the total number of integers between 100 and 200   [#permalink] 05 Sep 2015, 03:05
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