Question

Four different paths connect opposite corners of a square as shown above. Which of the following statement(s) holds true?

• A. (iii) is the longest path
• B. (i) is longer than (iv)
• C. (ii) is longer than (ii)
• D. all the paths are equal

Answer 1

The correct option is D

all the paths are equal

If every horizontal length piece in figure (ii) is brought together on one side it will be of same length as figure (i). Similarly, if every vertical length piece in figure (i) is brought together down on one side it will be of same length as figure (i).
Doing the same with figures (iii) and (iv), it can be observed that the length of all the paths is same in all the four figures.