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    5 is related to 24 following a certain logic. Following the same logic, 9 is related to 80. To which of the following is 14 related to, following the
    Question

    5 is related to 24 following a certain logic. Following the same logic, 9 is related to 80. To which of the following is 14 related to, following the same logic?

    A.

    197

    B.

    195

    C.

    196

    D.

    198

    Correct option is B

    Given: 5 is related to 24.
    To find the pattern:
    5² = 25
    25 - 1 = 24
    Now, using the same logic for 9:
    9² = 81
    81 - 1 = 80

    Logic = second number = square of first number - 1
    Now, apply the same logic to 14:
    14² = 196
    196 - 1 = 195
    So, following the same logic, 14 is related to 195.
    Answer:
    B. 195

    Alternative method:

    5:24521=249:81921=811=8014:?1421=1961=1955: 24 \\5^2-1 = 24\\9: 81\\9^2-1 = 81-1=80\\14:?\\14^2-1= 196-1 = 195

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