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# How many multiples of 10 are there between 1000 and 2000, inclusive?

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How many multiples of 10 are there between 1000 and 2000, inclusive? [#permalink]

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12 Aug 2010, 09:27
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83% (01:25) correct 17% (00:16) wrong based on 14 sessions

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How many multiples of 10 are there between 1000 and 2000, inclusive?

OA:
[Reveal] Spoiler:
101

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Re: How many multiples of 10 are there between 1000 and 2000, inclusive? [#permalink]

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12 Aug 2010, 09:44
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Baten80 wrote:
How many multiples of 10 are there between 1000 and 2000, inclusive?

Let me to know the calculation process.
Ans.101

Hi, and welcome to Gmat Club! Below is a solution for your problem:

$$# \ of \ multiples \ of \ x \ in \ the \ range = \frac{Last \ multiple \ of \ x \ in \ the \ range \ - \ First \ multiple \ of \ x \ in \ the \ range}{x}+1$$.

For our original question we would have: $$\frac{2,000-1,000}{10}+1=101$$.

Check this: totally-basic-94862.html?hilit=last%20first%20range%20multiple

Hope it helps.
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Re: How many multiples of 10 are there between 1000 and 2000, inclusive? [#permalink]

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12 Aug 2010, 09:47
1
KUDOS
My attempt:

1000 - 1100 -- 11
1110 - 1200 -- 10
1210 - 1300 -- 10

1X10 - 1(X+1)00 -- 10

X - 3, 4, 5, 6 ,7 ,8, 9.

Sum them up - 101.
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Re: How many multiples of 10 are there between 1000 and 2000, inclusive? [#permalink]

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12 Aug 2010, 11:27
In general the formula for any series where "d" is the increment or difference between two terms to find the nth term =
An= A1+ (n-1)d
Now we know An =2000
A1=1000
d=10
2000=1000+(n-1)10
=101

OR
Use this
( last -first )/ increment + 1

Posted from my mobile device
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Re: How many multiples of 10 are there between 1000 and 2000, inclusive? [#permalink]

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14 Aug 2010, 09:44
As already discussed, the method is [(Last-First)/Increment ]+1

If you are refering to mgmat by any chance, this is discussed in Chap4 of Number properties
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Re: How many multiples of 10 are there between 1000 and 2000, inclusive? [#permalink]

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18 Nov 2015, 09:42
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Re: How many multiples of 10 are there between 1000 and 2000, inclusive? [#permalink]

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10 Mar 2017, 10:39
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: How many multiples of 10 are there between 1000 and 2000, inclusive?   [#permalink] 10 Mar 2017, 10:39
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