HG10 wrote:One week a certain truck rental lot had a total of 20 trucks, all of which were on the lot Monday morning. If 50 percent of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 12 trucks on the lot that Saturday morning, what is the greatest number of different trucks that could have been rented out during the week?
(A) 18
(B) 16
(C) 12
(D) 8
(E) 4
(Source: OG Quant Review 2nd Edition, Question 120)
OA: [spoiler](B)[/spoiler]
We can plug in the answers, which represent the greatest number of trucks that could have been rented.
Answer choice A: 18 rented.
Trucks left on the lot = 20-18 = 2.
Trucks that are returned = (1/2)*18 = 9.
Trucks on the lot on Saturday = 2+9 = 11.
Too few trucks are on the lot. Eliminate A.
Answer choice B: 16 rented.
Trucks left on the lot = 20-16 = 4.
Trucks that are returned = (1/2)*16 = 8.
Trucks on the lot on Saturday = 4+8 = 12.
Success!
The correct answer is
B.
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