Multiple choice

What is the age of Sangram?\begin{itemize}\item \textbf{Quantity I:} Sangram is 3 years younger than Mohan and the ratio of their ages is 7 : 8.\item \textbf{Quantity II:} Average age of Aman and Sangram is 25 years and Aman is 2 years older than Sangram.\end{itemize}

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or relation can’t be established

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Sangram's age be S. For Quantity I: Ratio of Sangram:Mohan is 7:8, and S = M - 3. Let S = 7x, M = 8x. Then 7x = 8x - 3, giving x = 3, so S = 21 years. For Quantity II: Average of Aman and Sangram is 25, so S + A = 50. Given A = S + 2, we get S + (S + 2) = 50, which gives 2S = 48 or S = 24 years. Comparing the two quantities: 21 < 24, so Quantity I < Quantity II.