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    The random errors associated with the measurement of P and Q are 10% and 2%, respectively. What is the maximum percentage random error in P/Q?
    Question

    The random errors associated with the measurement of P and Q are 10% and 2%, respectively. What is the maximum percentage random error in P/Q?

    A.

    12.0

    B.

    9.8

    C.

    8.0

    D.

    10.2

    Correct option is A

    Solution:

    We are given:

    • Error in P = 10%
    • Error in Q = 2%
    • We need to find the maximum percentage error in P ÷ Q

    When quantities are divided or multiplied, the percentage errors are added.

    So,

    Maximum percentage error in (P ÷ Q) = Error in P + Error in Q

    = 10% + 2% = 12%

    Final Answer: (A) 12.0

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