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    Question

    In a basket, the ratio of the number of yellow and black

    marbles is 4:5, respectively, and the ratio of black to white marbles is 5:6. If the total number of marbles in the basket is 105, then how many black marbles are there?
    A 62 Correct Answer Incorrect Answer
    B 72 Correct Answer Incorrect Answer
    C 45 Correct Answer Incorrect Answer
    D 35 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number of yellow marbles = 4z Then, number of black marbles = (5/4) × 4z = 5z And, number of white marbles = (6/5) × 5z = 6z According to the question, 4z + 5z + 6z = 105 Or, 15z = 105 Or, z = (105/15) = 7 So, number of black marbles = 5z = 5 × 7 = 35

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