There are 3 nurses and they work altogether only once in a week. no nurse is called to work for 3 consecutive days. nurse 1 is off on tueseday, thursday and Sunday. nurse 2 is off on Saturday. nurse 3 is off on Thursday, Sunday. no two nurses are off more than once a week. find the day on which all the 3 nurses were on work.

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Ritesh

  • Nov 3rd, 2006
 

How? Friday

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ravinder

  • Jul 23rd, 2007
 

Because common day for them is friday.

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Slutcakes

  • Sep 5th, 2007
 

Friday, because nurse three cannot work 3 consecutive days and the only days available for her would be Monday, Wednesday, and Friday.   The only days the "3 consecutive days" rule could apply to are Monday, Tuesday, and Wednesday.  With that, we can eliminate Monday and Wednesday from the list of eligible days leaving us with Friday.

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vivekjain17

  • Dec 23rd, 2007
 

Possible answer could be Monday, WednesDay or Friday as show below.
X is marked as holiday for that nurse. Y is working on that day and blank is not working.

Assumption here is that they may be days when any nurse is working alone and it's based on the fact that nurse one and three are off on Thursday and Sunday so nurse 2 have to work alone there is no choice for her.

For: 

 

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Sunday

N1

Y

X

Y

X

Y

Y

X

N2

Y

 

Y

Y

 

X

Y

N3

Y

Y

 

X

Y

Y

X



For Wednesday
 
 

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Sunday

N1

Y

X

Y

X

Y

Y

X

N2  

Y

Y

 

X

Y

N3 

Y

Y

X

Y

Y

X



For Friday
  

 

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Sunday

N1

Y

X

Y

X

Y

Y

X

N2

Y

Y

 

Y

Y

X

Y

N3 

Y

Y

X

Y

Y

X

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