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# A set of six different positive integers

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GMAT Instructor
Joined: 04 Jul 2006
Posts: 1268
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Kudos [?]: 153 [0], given: 0

A set of six different positive integers [#permalink]  03 Oct 2006, 07:28
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0% (00:00) correct 0% (00:00) wrong based on 0 sessions
A set of six different positive integers a<b<c<d<e<f has a range that is equal to its mean. What is the smallest possible value of a?

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Manager
Joined: 01 Jun 2006
Posts: 141
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Kudos [?]: 2 [0], given: 0

C it is
a>2 because
(a+b+c+d+e+f)/6=f-a => 6(f-a) = a+b+c+d+e+f < 6f - (1+2+3+4+5)
=> 6a>15 => a>2
Otherwise I can suppose a set of ( 3,5,7,8,9,10) that meet the demand
So C it is.
Director
Joined: 17 Jul 2006
Posts: 716
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Kudos [?]: 8 [0], given: 0

set = { 3,4,5,7,8,9 }

Mean = 6 and Range =6 lowest number is 3
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