Direction: The figure (not drawn on scale) given below shows the aerial distance (in km) between 8 cities, e.g. distance between H and F is 600 km etc.

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Find the ratio of maximum to minimum distance between A and H if condition is that traveling a city more than once is not allowed.
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- 37 : 14
- 37 : 23
- 39 : 14
- None of these
Correct Option: A
From the above given diagram , we can see that
Maximum distance is when path taken is-
A – D – C – B – G – E – F – H = 1300 + 500 + 200 + 400 + 400 + 300 + 600 = 3700 km
Minimum distance is when path taken is-
A – C – G – H = 600 + 400 + 400 = 1400 km
Hence , Required ratio is 37 : 14.