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# There are 5 locks and 5 keys. What is the minimum number of

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Director
Joined: 14 Sep 2005
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There are 5 locks and 5 keys. What is the minimum number of [#permalink]

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24 Nov 2005, 05:41
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Question Stats:

67% (00:09) correct 33% (00:00) wrong based on 5 sessions

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There are 5 locks and 5 keys. What is the minimum number of tries you can find the proper keys for all the 5 locks?

(1) 1
(2) 2
(3) 3
(4) 4
(5) 5
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Auge um Auge, Zahn um Zahn !

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SVP
Joined: 24 Sep 2005
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24 Nov 2005, 07:38
if luck involves ...there're minimumly 4 tries , e.g , you get the correct key for corresponding lock each try right away ...after finding 4 pairs ..the rest will be known without need to try.

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Current Student
Joined: 29 Jan 2005
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24 Nov 2005, 08:05
laxieqv wrote:
if luck involves ...there're minimumly 4 tries , e.g , you get the correct key for corresponding lock each try right away ...after finding 4 pairs ..the rest will be known without need to try.

Laxie always makes these problems appear effortless. Yes, it must be 4 different tries.

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Director
Joined: 14 Sep 2005
Posts: 984

Kudos [?]: 209 [0], given: 0

Location: South Korea

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24 Nov 2005, 21:04
GMATT73 wrote:
laxieqv wrote:
if luck involves ...there're minimumly 4 tries , e.g , you get the correct key for corresponding lock each try right away ...after finding 4 pairs ..the rest will be known without need to try.

Laxie always makes these problems appear effortless. Yes, it must be 4 different tries.

I'm
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Auge um Auge, Zahn um Zahn !

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Manager
Joined: 24 Oct 2005
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24 Dec 2005, 14:16
5 locks & 5 keys -- Requires atleast 4 tries..

Yep Ans is 4

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VP
Joined: 06 Jun 2004
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26 Dec 2005, 12:47
Kishore wrote:
Can someone explain how?

As luck would have it, each time you insert a key, it would be the right one.

So we have 5 keys. If from 1st-4th time we inserted a key and it was right, there is no need to try for the 5th time because we already know the one that is left must work.
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Don't be afraid to take a flying leap of faith.. If you risk nothing, than you gain nothing...

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26 Dec 2005, 12:47
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# There are 5 locks and 5 keys. What is the minimum number of

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