Bunuel
The Official Guide For GMAT® Quantitative Review, 2ND EditionAt 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
The price of the radio was the 15th highest priceSo, there were
14 items that were more expensive than the radio.
In other words, if we listed all of the prices in
ascending order, we'd get something like:
...........
radio,
X, X, X, X, X, X, X, X, X, X, X, X, X, X The price of the radio was the 20th lowest priceSo, there were
19 items than were less expensive than the radio.
In other words, if we listed all of the prices in
ascending order, we'd get something like:
X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X,
radio,......
So, when we combine both pieces of information, we have
19 items that were less expensive than the radio, and we have
14 items that were more expensive than the radio:
X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X,
radio,
X, X, X, X, X, X, X, X, X, X, X, X, X, X So, the total number of items sold =
19 +
14 +
1 (the radio itself)
= 34
= B
Cheers,
Brent