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What should come in place of the question mark (?) in the given series? 86 78 64 56 42 34 ?
20
22
26
28
20
The series alternates between subtracting 8 and 14: (86-8=78, 78-14=64, 64-8=56, 56-14=42, 42-8=34, 34-14=?).
The series alternates between subtracting 8 and 14: (86-8=78, 78-14=64, 64-8=56, 56-14=42, 42-8=34, 34-14=?).
Analyze the series
The series provided is 86, 78, 64, 56, 42, 34, ?. We check the difference between consecutive terms.
Identify the pattern
86 - 8 = 78; 78 - 14 = 64; 64 - 8 = 56; 56 - 14 = 42; 42 - 8 = 34. The pattern is a recurring subtraction of 8 and 14.
Calculate the next term
Following the established pattern, the next operation after subtracting 8 is subtracting 14. Therefore, 34 - 14 = 20.
B: 22 results from incorrect subtraction logic. C: 26 ignores the alternating -14 pattern. D: 28 would be the result if the pattern were strictly -8, -6, etc., which does not hold.
A is correct because the series follows an alternating subtraction pattern of -8 and -14, leading to 34 - 14 = 20.
In series questions, always check for alternating operations or two interlaced series if the differences are not constant or linear.