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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?

1. k must be 1
2. k must be 0
3. k can take any value between 0 and 1
4. None of the above

edited | 933 views

-------------    z
----------------- y
------------- x
in above case k is 1..
------------------ z
----------------- y
------------- x
now k is 0..

value of k would be either 0 or 1..

selected
0
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.
0
Is it option C or Option D
+1 vote
D) none because k could be 0 or 1

+1 vote