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25 May 2014, 15:01
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
69% (01:38) correct
31%
(01:49)
wrong
based on 618
sessions
History
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Time
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Not Attempted Yet
Jim filled his dog's bowl with 80 dog food pellets. Starting at 8:00 a.m., Jim's dog ate exactly once an hour, consuming exactly half of the number of dog food pellets remaining in the bowl at each feeding session. What percent of the original 80 pellets were there in the dog's bowl right before the dog began to eat at noon of the same day?
A. 2.75%
B. 3.125%
C. 6.25%
D. 12.5%
E. 20%
A. 2.75%
B. 3.125%
C. 6.25%
D. 12.5%
E. 20%
piwanowi
Joined: 02 Jun 2014
Last visit: 11 Aug 2015
Posts: 11
Location: United States
Schools: Kenan-Flagler '17 (A) CBS '17 (D) Darden '17 (A) Johnson '17 (A) Ross '17 (WL) Wharton '17 (D)
GMAT 1: 720 Q47 V41
GPA: 3.23
WE:Research (Other)
Schools: Kenan-Flagler '17 (A) CBS '17 (D) Darden '17 (A) Johnson '17 (A) Ross '17 (WL) Wharton '17 (D)
GMAT 1: 720 Q47 V41
Posts: 11
11 Jun 2014, 19:03
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Can also just start with 1 since % at 12 pm is all we need. Start with 1 and divide in half every hour.
Amount at 8 AM: 1/1
9 AM: 1/2
10 AM: 1/4
11 AM: 1/8
12 PM: 1/16
1/16 = .0625 or 6.25%
Amount at 8 AM: 1/1
9 AM: 1/2
10 AM: 1/4
11 AM: 1/8
12 PM: 1/16
1/16 = .0625 or 6.25%
General Discussion
25 May 2014, 15:20
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gmatquant25
Jim filled his dog's bowl with 80 dog food pellets. Starting at 8:00 a.m., Jim's dog ate exactly once an hour, consuming exactly half of the number of dog food pellets remaining in the bowl at each feeding session. What percent of the original 80 pellets were there in the dog's bowl right before the dog began to eat at noon of the same day?
A. 2.75%
B. 3.125%
C. 6.25%
D. 12.5%
E. 20%
A. 2.75%
B. 3.125%
C. 6.25%
D. 12.5%
E. 20%
The dog ate 4 times, at 8:00 a.m., 9:00 a.m., 10:00 a.m. and 11:00 a.m.
Each time, after eating, half of the pellets were left in the bowl than before, thus after 4 meals 80*1/2^4=5 pellets were left in the bowl.
5/80 is little more than 5%.
Answer: C.
