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

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Difficulty:

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Question Stats:

63% (01:45) correct 37% (00:46) wrong based on 52 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
[Reveal] Spoiler: OA

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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

Kudos [?]: 8 [0], given: 76

Two assembly line inspectors, Lauren and Steven, inspect widgets as th   [#permalink] 26 Aug 2016, 01:54
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