Multiple choice

The questions given below contain three statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question? What will be the sum of ages of mother and daughter after 6 years? (I) Mother's present age is 24 years more than the daughter's present age. (II) 4 years ago, the ratio of ages of mother and daughter was 5:1. (III) Five times the daughter's present age is 16 years more than the mother's present age.

  1. Any two

  2. Only I and either II or III

  3. Only I and II

  4. Only II and III

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement I alone gives D = M - 24, but we need another equation. Statement II: (M-4)/(D-4) = 5/1 gives M - 4 = 5(D-4), so M = 5D - 16. Combining with I: D + 24 = 5D - 16, giving 4D = 40 and D = 10, M = 34. After 6 years: D=16, M=40, sum = 56. Statement III gives 5D = M + 16, so M = 5D - 16, which is identical to statement II. Therefore I with either II or III suffices, but I alone or II+III together are insufficient.

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