Multiple choice

In each of the following questions, a question is followed by three statements numbered I, II and III. Read all the statements and find which information is/are necessary to answer. The ratio between the present ages of the Rohit and Rina is 1 : 3. Find the present age of the Rina. statement I: Difference between the present ages of the Pooja and Rohit is 22 years. statement II: The present age of Pooja is 4 years less than thrice the present age of Rohit. statement III: Difference between the present ages of the Rina and Rohit is 26 years.

  1. Only II

  2. All statements together are sufficient

  3. Only I and II

  4. (I and II) or III

  5. All statements together are not sufficient
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Rohit's age be x. Given Rohit:Rina = 1:3, so Rina = 3x. From Statement II: Pooja = 3x - 4. From Statement I: |Pooja - Rohit| = 22. Combining I and II: |(3x - 4) - x| = 22, so |2x - 4| = 22, giving 2x - 4 = 22 (positive since ages are positive), thus 2x = 26 and x = 13, so Rina = 39. Statement III directly gives 3x - x = 26, so 2x = 26 and Rina = 39. Both paths give the same answer, so D is correct.

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