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    Question

    There are 6 Apples and some oranges in a basket. If 2

    fruits are picked at random, the probability that both are Apples is 1/8. How many oranges are there?
    A 12 Correct Answer Incorrect Answer
    B 14 Correct Answer Incorrect Answer
    C 8 Correct Answer Incorrect Answer
    D 10 Correct Answer Incorrect Answer
    E 9 Correct Answer Incorrect Answer

    Solution

    Let the number of oranges be 'x'

    Number of Apples = 6

    Probability that both fruits are Apples = 1/8

    So,  6 C 2 / 6+x C 2  = 1/8

    30/((x + 5)(x + 6)) = 1/8

    x 2  + 11x - 210 = 0

    (x + 21)(x - 10) = 0

    x = 10

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