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# How many integers between 1-1000 are divisible by 11 and 35?

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Intern
Joined: 22 Mar 2007
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How many integers between 1-1000 are divisible by 11 and 35? [#permalink]  20 May 2007, 16:11
How many integers between 1-1000 are divisible by 11 and 35?

How many 3 digit integers less than 1000 are divisible by 11 and 35?
Manager
Joined: 11 Mar 2007
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2? 385 & 770?

Prime factors of 35 & 11 are 7, 5, 11...

7*5*11=385...

any multiple of 385 is also divisible by 35 and 11...so 385*2=770...

385*3 is > 1000 so there are only 2 such numbers...
CEO
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Re: Number properties...Not Gmat Prep [#permalink]  16 Apr 2008, 21:50
skinsvt wrote:
How many integers between 1-1000 are divisible by 11 and 35?

GCD of 11 and 35 = 385

1000/385 = 2 so 2 integers.

skinsvt wrote:
How many 3 digit integers less than 1000 are divisible by 11 and 35?

same as before 2 integers.
Intern
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Re: Number properties...Not Gmat Prep [#permalink]  17 Apr 2008, 08:21
OOps,

I read the question wrong. I tried to solve it for "or" instead of "and". I agree with you guys.
Re: Number properties...Not Gmat Prep   [#permalink] 17 Apr 2008, 08:21
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