GATE CSE 2000 | Question: 2.1

Question

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?

• A. k must be 1
• B. k must be 0
• C. k can take any value between 0 and 1
• D. None of the above

Answer 1

-------------    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..

Comments

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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Is it option C or Option D

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Option D is correct ans. k could be 0 or 1

Answer 2

D) none because k could be 0 or 1