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 the age of Vipin? (I) The ratio of ages of Vipin and Ranjit is 1 : 5 (II) After 7 years the ratio will be 3 : 8

  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 together are sufficient, but neither statement alone is sufficient.
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Option E is correct because both statements together are needed. From (I): Vipin's age : Ranjit's age = 1 : 5, so V = R/5. From (II): After 7 years, ratio is 3 : 8, so (V+7)/(R+7) = 3/8. Substituting V = R/5 gives (R/5 + 7)/(R + 7) = 3/8. Solving: 8(R/5 + 7) = 3(R + 7), so 8R/5 + 56 = 3R + 21. This gives R = 35, then V = 7. Neither statement alone gives absolute ages - ratios need a reference point.

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