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# Half the people on a bus get off at each stop after the first, and no

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Math Expert
Joined: 02 Sep 2009
Posts: 52294
Half the people on a bus get off at each stop after the first, and no  [#permalink]

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17 May 2016, 02:45
00:00

Difficulty:

35% (medium)

Question Stats:

73% (01:31) correct 27% (01:43) wrong based on 44 sessions

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Half the people on a bus get off at each stop after the first, and no one gets on after the first stop. If only one person gets off at stop number 7, how many people got on at the first stop?

A. 128
B. 64
C. 32
D. 16
E. 8

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Intern
Joined: 07 May 2016
Posts: 26
Half the people on a bus get off at each stop after the first, and no  [#permalink]

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17 May 2016, 05:46
Bunuel wrote:
Half the people on a bus get off at each stop after the first, and no one gets on after the first stop. If only one person gets off at stop number 7, how many people got on at the first stop?

A. 128
B. 64
C. 32
D. 16
E. 8

7 - > 1
6 - > 2
5 - > 4
4 - > 8
3 - > 16
2 - > 32
1 - > 64

because people get off after the first stop
=> the formula will be : 2^(n-1) where n is the stop number

in this case n = 7
=> 2^(7-1) = 2^6 = 64
Non-Human User
Joined: 09 Sep 2013
Posts: 9449
Re: Half the people on a bus get off at each stop after the first, and no  [#permalink]

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25 Dec 2017, 23:29
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Re: Half the people on a bus get off at each stop after the first, and no &nbs [#permalink] 25 Dec 2017, 23:29
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