Who is riding X's bicycle?

Logic Level 2

X ,Y and Z are three friends and they decided to go out for picnic. Each of them rides bicycle and wears a hat. Each one wear a hat of the other friend and ride the bicycle of another friend. X is wearing Z's hat. Find who is riding X's bicycle?

X Z Y

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1 solution

Harshendu Mahto
Feb 1, 2016

Examine the cases,

ATQ,

X ---> hat of Z

--->cycle of Y                [X has Z's hat and so he cannot have Z's cycle]

Therefore,

Y ---> hat of X [ he cannot wear his own hat and Z's hat is with X]

---> cycle of Z [hat and cycle cannot be of the same friend and he cannot ride his own cycle]

Therefore,

Z ---> hat of Y [it is the only hat left]

---> cycle of X [ only cycle left]

Now it is clear that X's cycle is with Z.

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