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Senior Manager
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Q1 [#permalink] New post 05 Jan 2004, 14:21
Any idea :shock: 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)
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 [#permalink] New post 05 Jan 2004, 14:32
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
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 [#permalink] New post 05 Jan 2004, 14:35
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.
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 [#permalink] New post 05 Jan 2004, 14:39
cheers :beer
  [#permalink] 05 Jan 2004, 14:39
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