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    Question

    Two years ago from now, age of 'A' was ____ years. Ratio

    of present ages of 'A' and 'B' is ____ respectively and four years hence from now, sum of ages of 'A' and 'B' will be ____ years. The data given in which among the given options will fill the blank in the same order so as to make the statement true? I. 19, 3:4, 70 II. 16, 2:3, 53 III. 23, 5:7, 68
    A All I, II and III Correct Answer Incorrect Answer
    B Both I and III Correct Answer Incorrect Answer
    C Both II and III Correct Answer Incorrect Answer
    D Both I and II Correct Answer Incorrect Answer
    E Only I Correct Answer Incorrect Answer

    Solution

    Statement I:
    Present age of 'A' = 19 + 2 = 21 years
    Present age of 'B' = (4/3) × 21 = 28 years
    Required sum = 21 + 4 + 28 + 4 = 57 years
    So, statement I is not true. Statement II:
    Present age of 'A' = 16 + 2 = 18 years
    Present age of 'B' = (3/2) × 18 = 27 years
    Required sum = 18 + 4 + 27 + 4 = 53 years
    So, statement II is true. Statement III:
    Present age of 'A' = 23 + 2 = 25 years
    Present age of 'B' = (7/5) × 25 = 35 years
    Required sum = 25 + 4 + 35 + 4 = 68 years
    So, statement III is true. Therefore, both statements II and III are true. Hence, option C .

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