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What should come in place of the question mark (?) in the following series? 12, 24, 48, 96, 192, ?
384
364
288
402
384
Observe that each consecutive term is multiplied by 2. Simply multiply the last given term by 2 to get the next number.
Observe that each consecutive term is multiplied by 2. Simply multiply the last given term by 2 to get the next number.
Analyze the Series
Look at the given number series: 12, 24, 48, 96, 192. Check the multiplicative relationship between consecutive terms.
Determine the Common Ratio
24 / 12 = 2, 48 / 24 = 2, 96 / 48 = 2, and 192 / 96 = 2. The series follows a geometric progression with a common multiplier of 2.
Calculate the Missing Term
Multiply the final given term (192) by the common ratio (2): 192 x 2 = 384.
B: 364 is incorrect as it does not follow the x2 geometric progression. C: 288 is incorrect as it results from adding 96 incorrectly instead of multiplying by 2. D: 402 is incorrect and does not fit the multiplication sequence.
A is correct because each term in the series is obtained by multiplying the previous term by 2, yielding 192 x 2 = 384.
For number series in railway and banking exams, always check for differences (AP) or ratios (GP) first before looking for complex polynomial or mixed operations.
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