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There are 196 control panels lined up in a row along a long warehouse

Question # 00009869
Subject: Mathematics
Due on: 03/09/2014
Posted On: 03/09/2014 04:21 AM

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•There are 196 control panels lined up in a row along a long warehouse. Each control panels has its own switch and is currently switched off.
•The room has an entry door and an exit door. There are 196 engineers lined up outside the entry door. Each control panel is numbered consecutively from 1 to 196. So is each Engineer.
•Engineer No. 1 enters the room, switches on every control panel, and exits. Engineer No. 2 enters and flips the switch on every second control panel (turning off control panels 2, 4, 6, …). Engineer No. 3 enters and flips the switch on every third control panel (changing the state on control panels 3, 6, 9, …). This continues until all 196 engineers have passed through the room.

•What is the final state of control panel No. 144
•How many of the control panels are left working after the 196th Engineer has passed through the room?

Tags warehouse long lined panels control control engineer panels panel room enters door switch lined state paed engineers entry flips changing turning 196th final second continues left working numbered currently warehouse long switched exit switches consecutively

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There are 196 control panels lined up in a row along a long warehouse

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Posted On: 03/09/2014 04:24 AM
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Tutorial Preview …2, xx 4, xx 8, 12, xxx 24, 36, xxx 72, xxx xxx Each xx the engineers xxxx these numbers xxxx change xxx xxxxx of xxxxx No 144 xxx panel is…
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