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

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Director
Joined: 24 Oct 2005
Posts: 660
Location: London
Followers: 1

Kudos [?]: 7 [0], given: 0

How many numbers between 100 and 500 are divibile by 6 [#permalink]  28 Nov 2005, 03:55
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Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
How many numbers between 100 and 500 are divibile by 6
Director
Joined: 14 Sep 2005
Posts: 994
Location: South Korea
Followers: 2

Kudos [?]: 45 [0], given: 0

6 * 16 = 96
6 * 17 = 102
.
.
.
6 * 83 = 498
6 * 84 = 504

83 - 17 + 1 = 67
_________________

Auge um Auge, Zahn um Zahn !

Director
Joined: 23 Jun 2005
Posts: 847
GMAT 1: 740 Q48 V42
Followers: 5

Kudos [?]: 32 [0], given: 1

Agree with gamjatang, exact same work out.
Senior Manager
Joined: 14 Apr 2005
Posts: 418
Location: India, Chennai
Followers: 1

Kudos [?]: 6 [0], given: 0

Re: PS numbers [#permalink]  29 Nov 2005, 00:45
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, 00:45
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