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Explanation:

Circumference of circular hall = 2 × (22/7) × (49) = 308 m

∴ Speed of machine = (308/148) = (77/37) m/min 

Perimeter of hexagon = 54 × 6 = 324 m 

∴ Time taken to move along hexagon = (324) / (77/37) 

= (324 × 37) / 77 = 155.69 minutes 

∴ Extra time required = 155.69 − 148 = 7.69 minutes

Hence, option (a).

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