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# How many numbers between 100 and 500 are divibile by 6

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Director
Joined: 24 Oct 2005
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How many numbers between 100 and 500 are divibile by 6 [#permalink]

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28 Nov 2005, 04:55
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How many numbers between 100 and 500 are divibile by 6
Director
Joined: 14 Sep 2005
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Location: South Korea
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28 Nov 2005, 04:59
6 * 16 = 96
6 * 17 = 102
.
.
.
6 * 83 = 498
6 * 84 = 504

83 - 17 + 1 = 67
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Auge um Auge, Zahn um Zahn !

Director
Joined: 23 Jun 2005
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28 Nov 2005, 06:20
Agree with gamjatang, exact same work out.
Senior Manager
Joined: 15 Apr 2005
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29 Nov 2005, 01:45
remgeo wrote:
How many numbers between 100 and 500 are divibile by 6

This will form an AP with the first term being 102 and the last term being 498.
We need to find which term of the series is 498.
tn = a + (n-1) d
498 = 102 + (n-1)6
solving for n we get n = 67.

There are 67 terms between 100 and 500.
Re: PS numbers   [#permalink] 29 Nov 2005, 01:45
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