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Which of the following options should come in place of the question mark (?) in the given series to make it logically complete? 16, 27, 38, 49, 60,?
71
73
70
72
71
Observe that the difference between each consecutive term is a constant +11.
Observe that the difference between each consecutive term is a constant +11.
Analyze the series
The given series is 16, 27, 38, 49, 60, ?. We calculate the difference between consecutive terms: 27 - 16 = 11, 38 - 27 = 11, 49 - 38 = 11, 60 - 49 = 11.
Apply the pattern
Since the constant difference (common difference) is +11, the next term must be 60 + 11 = 71.
B: 73 is incorrect as the addition of 11 to 60 is 71, not 73. C: 70 is incorrect as it results from adding only 10. D: 72 is incorrect as it results from adding 12.
A is correct because the series follows an arithmetic progression with a constant difference of 11, and 60 + 11 = 71.
For any number series, always calculate the differences between adjacent terms first; if the difference is constant, it is a simple arithmetic progression.
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