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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? 433, 414, 376, 319, 243,?
148
162
124
136
148
Calculate the difference between consecutive terms; the differences themselves follow a pattern of decreasing multiples of 19 (or arithmetic subtraction).
Calculate the difference between consecutive terms; the differences themselves follow a pattern of decreasing multiples of 19 (or arithmetic subtraction).
Analyze the differences
Calculate the difference between consecutive numbers: 433-414 = 19, 414-376 = 38, 376-319 = 57, 319-243 = 76.
Identify the pattern
The differences (19, 38, 57, 76) are multiples of 19 (19x1, 19x2, 19x3, 19x4). The next difference must be 19x5 = 95.
Calculate the missing term
Subtract the next difference from the last term: 243 - 95 = 148.
B: 162 is the result of adding instead of subtracting. C: 124 is a calculation error. D: 136 is a calculation error.
A is correct because the series follows a pattern of subtracting increasing multiples of 19 (19, 38, 57, 76, 95) from each previous term.
In number series, if the numbers are decreasing, always check for negative differences first. Multiples often hide inside simple subtraction sequences.
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