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Solve the following problems based on th...

Solve the following problems based on the following information
An industrial corrisor is laid out along the special Economic Zone (SEZ), which is in the shape of a regular polygon. Every vertex of the SEZ has exactly one manufacturing plant.
A particular road connects any two plants. No single road connects directly more than two plants. Engineers have laid down all the possible roads connecting all the plants with each other. Each road is designed to offer the shortest distance between any two plants.
Also, engineers have laid down all the possible rail-loops. Each loop connect any three plants. Every loop is designed along the shortest possible distance between any two plants connected through that loop.
Wherever any two or more than two roads intersect inside the SEZ (poygon), exactly one government office is to be built there.
Wherever any two or more than five roads intersect inside the SEZ (poygon), exactly one airport is to be built there.
Maximum how many government offices are there if the SEZ has 49 plants?

A

0

B

7

C

50

D

none of the above

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The correct Answer is:
A
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