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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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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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Re: How many multiples of 10 are there between 1000 and 2000, inclusive? [#permalink]
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12 Aug 2010, 09:47
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+ (n1)d Now we know An =2000 A1=1000 d=10 2000=1000+(n1)10 =101
OR Use this ( last first )/ increment + 1
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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 [(LastFirst)/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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06 Sep 2017, 22:57
Bunuel wrote: 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: \(\frac{2,0001,000}{10}+1=101\). Check this: http://gmatclub.com/forum/totallybasic ... 20multipleHope it helps. Hi Bunuel, Thanks for the explanation. However, if the question would have been that how many multiples of 5 are there between 7 and 37, inclusive? Will we consider the last number to be 35 and the first number to be 5?



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Re: How many multiples of 10 are there between 1000 and 2000, inclusive? [#permalink]
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06 Sep 2017, 23:07
SinhaS wrote: Bunuel wrote: 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: \(\frac{2,0001,000}{10}+1=101\). Check this: http://gmatclub.com/forum/totallybasic ... 20multipleHope it helps. Hi Bunuel, Thanks for the explanation. However, if the question would have been that how many multiples of 5 are there between 7 and 37, inclusive? Will we consider the last number to be 35 and the first number to be 5? How many multiples of 5 are there between 7 and 37, inclusive? The first multiple is 5 and the last multiple is 35, so the answer is (35  (5))/5 + 1 = 9: 5, 0, 5, 10, 15, 20, 25, 30 and 35.
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How many multiples of 10 are there between 1000 and 2000, inclusive? [#permalink]
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06 Sep 2017, 23:11
Bunuel wrote: SinhaS 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: \(\frac{2,0001,000}{10}+1=101\). Check this: http://gmatclub.com/forum/totallybasic ... 20multipleHope it helps. Hi Bunuel, Thanks for the explanation. However, if the question would have been that how many multiples of 5 are there between 7 and 37, inclusive? Will we consider the last number to be 35 and the first number to be 5? How many multiples of 5 are there between 7 and 37, inclusive? The first multiple is 5 and the last multiple is 35, so the answer is (35  (5))/5 + 1 = 9: 5, 0, 5, 10, 15, 20, 25, 30 and 35. Thanks. I got it right. Now it's clear.




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