Multiple choice

The questions given below contain two statements giving certain data. You have to decide whether the data given in the statements are sufficient for answering the question ? What is mother's present age? (I) The ratio between the ages of mother and daughter is 5 : 1. (II) After 4 years, the ratio between the ages of mother and daughter is 17 : 5 respectively.

  1. If statement I alone is sufficient but statement II alone is not sufficient.

  2. If statement II alone is sufficient but statement I alone is not sufficient.

  3. If each statement alone (either I or II) is sufficient.

  4. If statement I and II together are not sufficient.

  5. If both statements I and II together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Statement I gives mother:daughter = 5:1, so M = 5D. Statement II gives (M+4):(D+4) = 17:5, so 5(M+4) = 17(D+4). Neither statement alone gives actual ages. Using both: substitute M = 5D into equation to get 5(5D+4) = 17(D+4), which solves to D = 6 and M = 30. Both statements together are necessary and sufficient.

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