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    Question

    Find the missing number in the given number series 

    250, 279, 311, 349, 396, ?

    A 355 Correct Answer Incorrect Answer
    B 455 Correct Answer Incorrect Answer
    C 574 Correct Answer Incorrect Answer
    D 665 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    First, calculate the differences: 279−250=29 311−279=32 349−311=38 396−349=47 The differences are: 29,32,38,47. Now, let's look at the differences between these differences: 32−29=3 38−32=6 47−38=9 The second-order differences are 3,6,9, which are increasing by 3. If this pattern continues, the next difference should be: 9+3=12 Now, add this to the last difference: 47+12=59 Finally, add this to the last term in the series: 396+59 = 455

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