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    Question

    The average height of two men P and Q is 167 cm.

    Another man R Joins them and the average height of P, Q and R becomes 162 cm. If another man S whose height is 17 cm more than that of R replaces P, then the average height of Q, R and S becomes 157 cm. What is the height of P?
    A 180 cm Correct Answer Incorrect Answer
    B 184 cm Correct Answer Incorrect Answer
    C 183 cm Correct Answer Incorrect Answer
    D 182 cm Correct Answer Incorrect Answer

    Solution

    Let us assume the height of the P be X P + Q = 167 Ă— 2 = 334 ----(1) P + Q + R = 162 Ă— 3 = 486 ----(2) The height of the R = 486 - 334 = 152 cm The height of the S = 152 + 17 = 169 cm Q + R + S = 157 Ă— 3 = 471 ----(3) The height of the Q = 471 - 152 - 169 = 471 - 321 = 150 cm The height of the P = X = 334 - 150 = 184 cm

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