Agreed with your ans ( either 0 or 1) but how did you represent x, y, z on the number line .. It seems k=0 in then earlier case and k=1 in the later case.

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X, Y and Z are closed intervals of unit length on the real line. The overlap of X and Y is half a unit. The overlap of Y and Z is also half a unit. Let the overlap of X and Z be k units. Which of the following is true?

- k must be 1
- k must be 0
- k can take any value between 0 and 1
- None of the above

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