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    Question

    The heights of two friends, A and B, are in the ratio

    6:11. Similarly, the heights of B and C are in the ratio 4:3. Additionally, it is given that the height of C exceeds the height of A by 27 cm. Based on this information, determine the height of B.
    A 121 cm Correct Answer Incorrect Answer
    B 176 cm Correct Answer Incorrect Answer
    C 132 cm Correct Answer Incorrect Answer
    D 154 cm Correct Answer Incorrect Answer

    Solution

    Let the height of 'B' = '44x' cm Then, height of 'A' = 44x X (6/11) = '24x' cm Height of 'C' = 44x X (3/4) = '33x' cm According to the question, 33x - 24x = 27 Or, x = 27 ÷ 9 = 3 So, height of 'B' = 44 X 3 = 132 cm

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