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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 28 Jan 2012, 04:06
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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
[Reveal] Spoiler: OA

Last edited by Bunuel on 28 Jan 2012, 04:26, edited 1 time in total.
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Re: Numbers [#permalink] New post 28 Jan 2012, 04:25
RadhaKrishnan 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


As the price of an item was BOTH 15th highest price and the 20th lowest price then # of items is: 15+20-1=34.

Answer: B.
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Re: At a garage sale, all of the prices of the items sold were [#permalink] New post 28 Jan 2012, 05:23
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RadhaKrishnan wrote:
Why do we add -1 ?


In 15+20 the item is counted TWICE: in 15 (as it's 15th highest priced item) as well as in 20 (as it's 20th lowest priced item), hence we should subtract 1 to get rid of double counting.
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DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!


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Re: At a garage sale, all of the prices of the items sold were   [#permalink] 28 Jan 2012, 05:23
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