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# At a garage sale, all of the prices of the items sold were

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VP
Joined: 22 Nov 2007
Posts: 1104
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Kudos [?]: 214 [0], given: 0

At a garage sale, all of the prices of the items sold were [#permalink]  19 Jan 2008, 05:48
At a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15th highest price and the 20th lowest price among the prices of the items sold, how many items were sold at the garage sale?

A. 33
B. 34
C. 35
D. 36
E. 37
CEO
Joined: 17 Nov 2007
Posts: 3574
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 412

Kudos [?]: 2237 [1] , given: 359

Re: ranking [#permalink]  19 Jan 2008, 12:07
1
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Expert's post
GMATBLACKBELT wrote:
marcodonzelli wrote:
At a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15th highest price and the 20th lowest price among the prices of the items sold, how many items were sold at the garage sale?

A. 33
B. 34
C. 35
D. 36
E. 37

Can someone explain this a little bit better. IM having trouble visualizing this.

the highest price top:
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,.......
we have 14 items with higher price than price of radio

the lowest price top:
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,.......
we have 19 items with lower price than price of radio

the total number of items = 14 (higher price) + 1 (radio) + 19 (lower price) = 34
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Manager
Joined: 27 Dec 2007
Posts: 75
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Kudos [?]: 17 [0], given: 1

Re: ranking [#permalink]  19 Jan 2008, 06:34
1------------15
20----------last

hence, 15+20=35
since 15 and 20 are for the same item so, 35-1=34
CEO
Joined: 29 Mar 2007
Posts: 2585
Followers: 17

Kudos [?]: 242 [0], given: 0

Re: ranking [#permalink]  19 Jan 2008, 11:45
marcodonzelli wrote:
At a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15th highest price and the 20th lowest price among the prices of the items sold, how many items were sold at the garage sale?

A. 33
B. 34
C. 35
D. 36
E. 37

Can someone explain this a little bit better. IM having trouble visualizing this.
CEO
Joined: 29 Mar 2007
Posts: 2585
Followers: 17

Kudos [?]: 242 [0], given: 0

Re: ranking [#permalink]  19 Jan 2008, 12:27
walker wrote:
GMATBLACKBELT wrote:
marcodonzelli wrote:
At a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15th highest price and the 20th lowest price among the prices of the items sold, how many items were sold at the garage sale?

A. 33
B. 34
C. 35
D. 36
E. 37

Can someone explain this a little bit better. IM having trouble visualizing this.

the highest price top:
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,.......
we have 14 items with higher price than price of radio

the lowest price top:
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,.......
we have 19 items with lower price than price of radio

the total number of items = 14 (higher price) + 1 (radio) + 19 (lower price) = 34

Ok I see now. I was reading the question incorrectly. 20th LOwest.... bah
Re: ranking   [#permalink] 19 Jan 2008, 12:27
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