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Two assembly line inspectors, Lauren and Steven, inspect widgets as th

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Two assembly line inspectors, Lauren and Steven, inspect widgets as th  [#permalink]

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New post 25 Aug 2016, 16:25
1
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A
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E

Difficulty:

  55% (hard)

Question Stats:

63% (02:12) correct 37% (01:55) wrong based on 51 sessions

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Two assembly line inspectors, Lauren and Steven, inspect widgets as they come off the assembly line. If Lauren inspects every fifth widget, starting with the fifth, and Steven inspects every third, starting with the third, how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector?

A) 91
B) 59
C) 53
D) 47
E) 45

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Two assembly line inspectors, Lauren and Steven, inspect widgets as th  [#permalink]

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New post 26 Aug 2016, 01:54
duahsolo wrote:
Two assembly line inspectors, Lauren and Steven, inspect widgets as they come off the assembly line. If Lauren inspects every fifth widget, starting with the fifth, and Steven inspects every third, starting with the third, how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector?

A) 91
B) 59
C) 53
D) 47
E) 45


Widgets inspected by Lauren: ((95-5)/5)+1=18+1=19
Widgets inspected by Steven: ((96-3)/3)+1 =31+1 =32
Widgets inspected by both: ((90-15)+1 =6
Total : 19+32 -6=45
hence, widgets not inspected: 98-45=53
Option C
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Re: Two assembly line inspectors, Lauren and Steven, inspect widgets as th  [#permalink]

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New post 05 Feb 2019, 01:29
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Re: Two assembly line inspectors, Lauren and Steven, inspect widgets as th   [#permalink] 05 Feb 2019, 01:29
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