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After an attempted breakout at Folsom State Prison, the warden lines t

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After an attempted breakout at Folsom State Prison, the warden lines t [#permalink]

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New post 26 Nov 2014, 00:16
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Question Stats:

44% (01:22) correct 56% (01:04) wrong based on 82 sessions

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After an attempted breakout at Folsom State Prison, the warden lines the prisoners up for a headcount. (Assume the warden counts correctly and that no prisoners switch positions or leave/escape during either headcount.) When the warden counts from left to right, Gurby is the 20th prisoner counted, but when the warden counts from right to left, Gus is the 20th prisoner counted. How many prisoners are lined up for the headcount?

(1) There are 13 prisoners between Gurby and Gus.

(2) The total number of prisoners is odd
[Reveal] Spoiler: OA
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Re: After an attempted breakout at Folsom State Prison, the warden lines t [#permalink]

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New post 26 Nov 2014, 01:11
anceer wrote:
After an attempted breakout at Folsom State Prison, the warden lines the prisoners up for a headcount. (Assume the warden counts correctly and that no prisoners switch positions or leave/escape during either headcount.) When the warden counts from left to right, Gurby is the 20th prisoner counted, but when the warden counts from right to left, Gus is the 20th prisoner counted. How many prisoners are lined up for the headcount?

(1) There are 13 prisoners between Gurby and Gus.

(2) The total number of prisoners is odd


st.1 here two cases are possible.

case 1) total number of prisoners = 25
in this case gurby will be at position 20 (from left to right) and gus will be at position 6 (from right to left). and the total number of prisoners between them will be 13

1-----gus----------------gurby---------25

case 2) total number of prisoners =53

1------------------------gurby----------------------gus-------------------------53

hence statement 1 alone is not sufficient.

statement 2: clearly not sufficient.

combining 1 and 2

still not sufficient as total number of prisoners can be 25 and 53. hence answer should be E
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Re: After an attempted breakout at Folsom State Prison, the warden lines t [#permalink]

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New post 13 Nov 2016, 04:24
i got that one wrong, though i saw the logic behind it:

we have 2 possible cases:

Case 1:

19 prisoners Gurby (certain number of prisoners) Gus 19 prisoners


Case 2:


Certain number of prisoners Gus Gurby Certain number of prisoners

Statement 1:

13 prisoners between Gurby and Gus
if we case 1, we will have: 19+1+13+1+19=53 prisoners
From case 2, the arrangement is the following:

5 prisoners Gus 13 prisoners Gurby 5 prisoners

so, in case 2, total number of prisoners is 5+1+13+1+5= 25 prisoners

Statement 1 not sufficient, and statement 2 apparently not sufficient.

Combining both statements is still not sufficient, since we saw in both cases the answer is odd.
hope my solution helps. cheers
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After an attempted breakout at Folsom State Prison, the warden lines t [#permalink]

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anceer wrote:
After an attempted breakout at Folsom State Prison, the warden lines the prisoners up for a headcount. (Assume the warden counts correctly and that no prisoners switch positions or leave/escape during either headcount.) When the warden counts from left to right, Gurby is the \(20th\) prisoner counted, but when the warden counts from right to left, Gus is the \(20th\) prisoner counted. How many prisoners are lined up for the headcount?

(1) There are \(13\) prisoners between Gurby and Gus.

(2) The total number of prisoners is odd


Official solution from Veritas Prep.

The crucial question is whether, from the warden's point of view, Gurby is to Gus's left or Gus's right. If Gurby is to the left of Gus, then there are \(19\) prisoners before Gurby, \(13\) between Gurby and Gus, and \(19\) after Gus, for a total of \(19+1+13+1+19 = 53\) prisoners. If Gurby is to the right of Gus, then there are \(5\) prisoners before Gus, \(13\) between Gus and Gurby, and \(5\) prisoners after Gurby, for a total of \(5+1+13+1+5 = 25\) prisoners. Even together, both scenarios are possible, so we can't determine the total.
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After an attempted breakout at Folsom State Prison, the warden lines t   [#permalink] 13 Feb 2017, 15:55
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