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    Question

    Find the missing number in the given number series 

    196, 196, 203, 229, 292,

    ?
    A 616 Correct Answer Incorrect Answer
    B 216 Correct Answer Incorrect Answer
    C 316 Correct Answer Incorrect Answer
    D 416 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Calculate the differences between consecutive terms: 196−196=0 203−196=7 229−203=26 292−229=63 The differences are 0,7,26,63. These differences follow the pattern of n3 −1: 0 = 13 - 1, 7 = 23- 1, 26 = 33- 1, 63 = 43- 1, 124 = 53- 1, Adding this to the last term: 292 + 124 = 416

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