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# Brooke uses a paper cutter to cut a 0.004 inch thick piece of paper in

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Math Expert
Joined: 02 Sep 2009
Posts: 59572
Brooke uses a paper cutter to cut a 0.004 inch thick piece of paper in  [#permalink]

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26 Nov 2019, 00:57
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Question Stats:

75% (01:17) correct 25% (03:42) wrong based on 4 sessions

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Brooke uses a paper cutter to cut a 0.004 inch thick piece of paper in half. She then stacks the two halves on top of each other and cuts them in half again. She repeats the pattern until the stack becomes too thick for the paper cutter to cut. If the maximum thickness that the paper cutter can cut is 0.12 inches, how many pieces of paper will she have at the end of this process?

A. 16
B. 24
C. 32
D. 48
E. 64

Are You Up For the Challenge: 700 Level Questions
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Joined: 19 Oct 2018
Posts: 1151
Location: India
Re: Brooke uses a paper cutter to cut a 0.004 inch thick piece of paper in  [#permalink]

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26 Nov 2019, 02:57
$$[log_2 (.12/0.004)]+1=5$$

She can cut stack 5 times.

Total number of pieces of paper= 2^5=32

Bunuel wrote:
Brooke uses a paper cutter to cut a 0.004 inch thick piece of paper in half. She then stacks the two halves on top of each other and cuts them in half again. She repeats the pattern until the stack becomes too thick for the paper cutter to cut. If the maximum thickness that the paper cutter can cut is 0.12 inches, how many pieces of paper will she have at the end of this process?

A. 16
B. 24
C. 32
D. 48
E. 64

Are You Up For the Challenge: 700 Level Questions
Re: Brooke uses a paper cutter to cut a 0.004 inch thick piece of paper in   [#permalink] 26 Nov 2019, 02:57
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