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    Question

    If p = 25 - q - r and pq + r(q + p) = 189, then find the

    value of (p┬▓ + q┬▓ + r┬▓).
    A 243 Correct Answer Incorrect Answer
    B 247 Correct Answer Incorrect Answer
    C 251 Correct Answer Incorrect Answer
    D 257 Correct Answer Incorrect Answer

    Solution

    We have, p = 25 - q - r So, p + q + r = 25 And, pq + r(q + p) = 189 Or, pq + qr + pr = 189 Using, (p + q + r)┬▓ = p┬▓ + q┬▓ + r┬▓ + 2(pq + qr + pr) So, 25┬▓ = (p┬▓ + q┬▓ + r┬▓) + 2 ├Ч 189 Or, 625 = (p┬▓ + q┬▓ + r┬▓) + 378 Or, p┬▓ + q┬▓ + r┬▓ = 625 - 378 Or, p┬▓ + q┬▓ + r┬▓ = 247

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