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    Question

    K is as much younger than M as he is older than O. If the sum of the ages of M and O is 100 years, what is definitely the difference between M and K’s age?

    A 2 years Correct Answer Incorrect Answer
    B 50 years Correct Answer Incorrect Answer
    C 4 years Correct Answer Incorrect Answer
    D Data inadequate Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    The difference of age between M and K = The difference of age between K and O. Sum of age of M and 0 = 100 years (M – K) = (K – O) M + O = 2 K Now, given that M + O = 100 Therefore, 100 = 2K K = 50 years Now, M – K =? Here, we know the value (age) of K is 50, but we do not know the age of M. ∴ (M – K) cannot be determined.

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