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Madadian Cruise

Logic puzzles require you to think. You will have to be logical in your reasoning.

 

Puzzle ID:#10832
Fun:*** (2.13)
Difficulty:*** (2.39)
Category:Logic
Submitted By:mad-adeAhu***

 

 

 



On Sunday, December 22, four Madadian cruise ships - W, X, Y, Z - started their series of winter cruises to various ports around Madadia.

Ship W left at 4:00 PM on Sunday, December 22, for a series of 8-days cruises to Madport.

Ship X left at 4:30 PM on Sunday, December 22, for a series of alternating 11-days and 13-days cruises to Adeville.

Ship Y left at 5:00 PM on Sunday, December 22, for a series of 5-days cruises to Kebabtown.

Ship Z left on Monday for a series of 7-days cruises.
Each ship is scheduled to return back early in the morning after the last day of the cruise and leave again late in the afternoon of the same day.

On how many days occasions between December 22 and February 28 will three ships be moored at the port?


Answer

On no occasions (other than start date December 22) between December 22 and February 28, three ships will be moored at the port.

Find out the days on when each ship will be in port:
Ship W will be in port on days 1, 9, 17, 25, 33, 41, 49, 57 and 65.

Ship X will be in port on days 1, 12, 25, 36, 49, 60 and 73.

Ship Y will be in port on days 1, 6, 11, 16, 21, 26, 31, 36, 41, 46, 51, 56, 61 and 66.

Ship Z will be in port on days 1, 2, 9, 16, 23, 30, 37, 44, 51, 58 and 65.
From above data, it is clear that - on no occasion (other than December 22) will three ships be moored at the port.

Also, on 8 occasions, there will be 2 ships moored at the port.


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