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

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At a garage sale, all of the prices of the items sold were [#permalink] New post 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
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Re: ranking [#permalink] New post 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
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Re: ranking [#permalink] New post 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.
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Re: ranking [#permalink] New post 19 Jan 2008, 12:07
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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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Re: ranking [#permalink] New post 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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