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Jim filled his dog's bowl with 80 dog food pellets. Starting

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Jim filled his dog's bowl with 80 dog food pellets. Starting [#permalink]

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New post 25 May 2014, 15:01
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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%
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Re: Jim filled his dog's bowl with 80 dog food pellets. Starting [#permalink]

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New post 25 May 2014, 15:20
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gmatquant25 wrote:
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%


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.
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Re: Jim filled his dog's bowl with 80 dog food pellets. Starting [#permalink]

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New post 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%

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Re: Jim filled his dog's bowl with 80 dog food pellets. Starting [#permalink]

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New post 11 Sep 2016, 06:45
Ans C. At 8 AM -- 80 pellets were served eaten 40, at 9 am 40+80=120 were served, eaten 60.At 10am 60+80=140 were served eaten 70. At 11am, 70+80=150 were served eaten 75. remaining 80-75=5. 5/80*100=6.25

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Re: Jim filled his dog's bowl with 80 dog food pellets. Starting [#permalink]

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New post 14 Aug 2017, 12:25
thanks for a question that seems easy but is not in its own inherent way and one has to keep guard against such questions in gmat.. thanks also for the explanations provided and kudos for the provider

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Re: Jim filled his dog's bowl with 80 dog food pellets. Starting   [#permalink] 14 Aug 2017, 12:25
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