Multiple choice

Which information are necessary to answer the questions asked- Find the age of Rajni after 7 years. (I). Ratio of the ages of Raju and Dinesh before four years was 4:3 respectively. After four years, ratio of their ages will be 6:5 respectively. (II). Sum of the present ages of Rajni and Vikash is equal to sum of the present ages of Raju and Dinesh. (III). Rajni is six years older than Dinesh.

  1. Only III

  2. Only II and either I or III

  3. Only I and III

  4. All I, II and III

  5. None is sufficient
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C Correct answer
Explanation

From (I): 4 years ago, R=4x, D=3x. Today: R=4x+4, D=3x+4. After 4 years: (4x+8)/(3x+8) = 6/5 gives x=4. So today: Raju=20, Dinesh=16. Statement (III): Rajni is 6 years older than Dinesh, so Rajni = 22. After 7 years: 22+7 = 29. Statement (II) is irrelevant - it connects Vikash but isn't needed.

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