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What is the total number of integers between 100 and 200

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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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Re: PS: Bet 100-200 [#permalink]

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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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Re: PS: Bet 100-200 [#permalink]

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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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Re: PS: Bet 100-200 [#permalink]

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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.
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Re: PS: Bet 100-200 [#permalink]

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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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Re: PS: Bet 100-200 [#permalink]

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22 Mar 2008, 11:32
walker could u plz elaborate what is nb ne?could not get....
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Re: PS: Bet 100-200 [#permalink]

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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
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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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