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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? 912,865,826,779,740,?
650
693
675
689
693
The series follows a pattern of subtracting consecutive multiples of 9, starting from 47, then decreasing the amount subtracted by 8, 9, 8, 9... wait, check differences: 912-865=47, 865-826=39, 826-779=47, 779-740=39. Subtract 47 then 39.
The series follows a pattern of subtracting consecutive multiples of 9, starting from 47, then decreasing the amount subtracted by 8, 9, 8, 9... wait, check differences: 912-865=47, 865-826=39, 826-779=47, 779-740=39. Subtract 47 then 39.
Analyze Differences
Calculating the difference between consecutive numbers: 912 - 865 = 47; 865 - 826 = 39; 826 - 779 = 47; 779 - 740 = 39.
Identify Pattern
The pattern is a repeating cycle of subtracting 47 and then subtracting 39.
Calculate Missing Term
Since the last operation was 779 - 39 = 740, the next operation in the sequence is to subtract 47. 740 - 47 = 693.
A: 650 is incorrect based on the subtraction pattern. C: 675 is incorrect as it does not follow the -47/-39 cycle. D: 689 is incorrect as it deviates from the identified sequence.
B is correct because the series follows a repeating pattern of subtracting 47 and then 39, and 740 - 47 = 693.
In competitive exams, if a series seems irregular, always check for alternating differences or repeating arithmetic patterns.
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