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    Question

    In an orchard, the ratio of the number of mango and lichi trees is 4:7, respectively. Also, there are few apple trees in the orchard which is 50% more than the number of mango trees. Total number of trees in the orchard is 102. What is the number of lichi trees in the orchard?

    A 40 Correct Answer Incorrect Answer
    B 42 Correct Answer Incorrect Answer
    C 45 Correct Answer Incorrect Answer
    D 56 Correct Answer Incorrect Answer
    E 48 Correct Answer Incorrect Answer

    Solution

    Let the number of mango trees and the lichi trees in the orchard be 4x and 7x respectively. According to the question, Number of apple trees in the orchard = 4x + 0.5 × 4x = 6x Therefore, 4x + 7x + 6x = 102 Or, 17x = 102 Or, x = 6 Number of lichi trees in the orchard = 7x = 42

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