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    Question

    In a class of 30 students, the average height is 155 cm.

    After one student leaves and five new students join, the class size becomes 34, and the new average height drops to 154.5 cm. Given that the total height of the five new students is 750 cm, determine the height of a student who is 2 cm taller than the student who left the school.
    A 149 cm Correct Answer Incorrect Answer
    B 155 cm Correct Answer Incorrect Answer
    C 172 cm Correct Answer Incorrect Answer
    D 163 cm Correct Answer Incorrect Answer

    Solution

    ATQ,

    Sum of height of class = 30 * 155 = 4650 4650 - x + 750 = 154.5 * 34 5400 -x = 5253 x = 147 Required height of the student = 147 + 2 = 149 cm

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