27 13 12 16.5 ? 75

30.5

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31.5

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37.5

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39.5

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None of these

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Solution

The correct option is A 30.5

$27 + 12 = \frac{39}{3} = 13 16.5 + 75 = \frac{91.5}{3} = 30.5$
The series is following a pattern:
Even place value = $(t h e v a l u e o f o d d p l a c e a d j a c e n t t o i t + t h e v a l u e o f o d d p l a c e p r e c e d i n g t o i t) / 3$

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