Multiple choice

What is the ratio of the ages of Karan, Arjun, and Aman? Statement (I): The average age of all is 22 years, and the age of Arjun is 24 years. Statement (II): The ratio of the ages of Karan and Aman is 4:5, and the age of Arjun is 20% more than the age of Aman.

  1. Only II

  2. Only I

  3. Both from I and II

  4. Any one of the two

  5. None of these
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A Correct answer
Explanation

Statement II alone is sufficient: Arjun is 20% more than Aman, so if Aman = 100x, Arjun = 120x. Given Arjun = 24, then x = 0.2, so Aman = 20. With Karan:Aman = 4:5, Karan = 16. Ratio Karan:Arjun:Aman = 16:24:20 = 4:6:5. Statement I gives average 22 (total 66) with Arjun 24, meaning Karan + Aman = 42, which is insufficient alone.

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