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    Question

    If 3 # 2 # 6 = 53 and 7 # 1 # 4 = 66, then what is the

    value of P in P # 5 # 8 = 289?
    A 8 Correct Answer Incorrect Answer
    B 10 Correct Answer Incorrect Answer
    C 11 Correct Answer Incorrect Answer
    D 12 Correct Answer Incorrect Answer

    Solution

    The pattern followed is as shown below:   3² + 2³ + 6² = 9 + 8 + 36 = 53 And, 7² + 1³ + 4² = 49 + 1 + 16 = 66 Similarly, P² + 5³ + 8² = 289 P² + 125 + 64 = 289 P2 = 289 – 189 P2 = 100 P = 10 Hence, the correct answer is option (B).

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