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What should come in place of the question mark (?) in the given series? 192 203 225 258 302 ?
357
368
378
376 Question ID : 4410091987752 Option 1 ID : 4410097828795 Option 2 ID : 4410097828796 Option 3 ID : 4410097828793 Option 4 ID : 4410097828794 Status : Answered Chosen Option : A
357
Calculate the differences between consecutive terms to reveal a secondary series of increasing multiples of 11: 11, 22, 33, 44, 55.
Calculate the differences between consecutive terms to reveal a secondary series of increasing multiples of 11: 11, 22, 33, 44, 55.
Calculate first-level differences
203 - 192 = 11; 225 - 203 = 22; 258 - 225 = 33; 302 - 258 = 44.
Identify the pattern and predict the next term
The differences are 11, 22, 33, 44, which form a sequence of multiples of 11. The next difference must be 55. Adding this to the last term, 302 + 55 = 357.
B: 368 is incorrect as it implies a difference of 66. C: 378 is incorrect as it implies a difference of 76. D: 376 is incorrect as it implies a difference of 74.
A is correct because the series follows an additive pattern of multiples of 11 (11, 22, 33, 44), requiring the next addition to be 55, resulting in 302 + 55 = 357.
When the gaps between numbers in a series are increasing, always check the difference of differences first; often, they form a simple arithmetic or geometric progression.
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