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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: 1078

Kudos [?]: 687 [0], given: 0

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

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19 Jan 2008, 06:48
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

Kudos [?]: 687 [0], given: 0

Manager
Joined: 27 Dec 2007
Posts: 74

Kudos [?]: 39 [1], given: 1

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19 Jan 2008, 07:34
1
KUDOS
1------------15
20----------last

hence, 15+20=35
since 15 and 20 are for the same item so, 35-1=34

Kudos [?]: 39 [1], given: 1

CEO
Joined: 17 Nov 2007
Posts: 3583

Kudos [?]: 4661 [1], given: 360

Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40

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19 Jan 2008, 13:07
1
KUDOS
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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Kudos [?]: 4661 [1], given: 360

CEO
Joined: 29 Mar 2007
Posts: 2553

Kudos [?]: 528 [0], given: 0

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19 Jan 2008, 12:45
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.

Kudos [?]: 528 [0], given: 0

CEO
Joined: 29 Mar 2007
Posts: 2553

Kudos [?]: 528 [0], given: 0

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19 Jan 2008, 13:27
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

Kudos [?]: 528 [0], given: 0

Non-Human User
Joined: 09 Sep 2013
Posts: 15684

Kudos [?]: 282 [0], given: 0

Re: At a garage sale, all of the prices of the items sold were [#permalink]

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07 Oct 2017, 08:13
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: At a garage sale, all of the prices of the items sold were   [#permalink] 07 Oct 2017, 08:13
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# At a garage sale, all of the prices of the items sold were

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