10) B

Patient days for organisation 2 in 2010 = 16,163 ≈ 16,000
Number of months = 11 (data is till November only)
Rate = 16,000/11 ≈ 1500 patient days per month

Since rate is constant, there must have been 1500 patient days in December too.
Total no. of patient days = 16,000 + 1500 = 17,500
Patient days per 100,000 = 17500/100,000 = 0.175 ≈ 0.18
Number of cases = 1
Rate = 1/0.18 = 100/18 = 5.5555…

This is closest to option B. Hence B is the answer.

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