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    Question

    If p = 32 - q - r and pq + r(q + p) = 255, then find

    the value of (p┬▓ + q┬▓ + r┬▓).
    A 494 Correct Answer Incorrect Answer
    B 502 Correct Answer Incorrect Answer
    C 508 Correct Answer Incorrect Answer
    D 514 Correct Answer Incorrect Answer

    Solution

    We have, p = 32 - q - r So, p + q + r = 32 And, pq + r(q + p) = 255 Or, pq + qr + pr = 255 Using, (p + q + r)┬▓ = p┬▓ + q┬▓ + r┬▓ + 2(pq + qr + pr) So, 32┬▓ = (p┬▓ + q┬▓ + r┬▓) + 2 ├Ч 255 Or, 1024 = (p┬▓ + q┬▓ + r┬▓) + 510 Or, p┬▓ + q┬▓ + r┬▓ = 1024 - 510 Or, p┬▓ + q┬▓ + r┬▓ = 514

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