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# Q1

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Senior Manager
Joined: 30 Aug 2003
Posts: 330
Location: BACARDIVILLE
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Q1 [#permalink]  05 Jan 2004, 14:21
Any idea Pls include reasoning along with all answer posts.

How many numbers between 100 and 300 are divisible by 17?

a) 11
b) 10
c) 12
d) 13

My reasoning was: 100/17 yields quotient 5; 300/17 yields quotient 17; subtract 5 from 17 yields 12. (However, that is not the official answer)
Director
Joined: 28 Oct 2003
Posts: 503
Location: 55405
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102 is the first number divisible by 17. Instead of using a formula here, I just bang them out, since 17 is big compared to the range of 200...

102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289

12
Director
Joined: 28 Oct 2003
Posts: 503
Location: 55405
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Kudos [?]: 10 [0], given: 0

You could also take the highest divisible # less than 100 (85)
and the highest divisible # less than 300 (289)

Take the difference 289-85=204 divide by 17 and get 12.
Senior Manager
Joined: 30 Aug 2003
Posts: 330
Location: BACARDIVILLE
Followers: 1

Kudos [?]: 1 [0], given: 0

cheers
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