Deepak, Rahul, Manoj, and Vinod are brothers. Who is the heaviest?
Statement I: Rahul is heavier than Deepak and Vinod, but lighter than Manoj.
Statement II: Deepak is lighter than Rahul and Manoj, but heavier than Vinod.
To find the heaviest person, we translate the text into mathematical inequalities. Let and represent Manoj, Rahul, Deepak, and Vinod respectively.
Analysis of Statement I:
Rahul is heavier than Deepak and Vinod (R > D, V) but lighter than Manoj (R < M).
From this inequality, we can clearly see that Manoj is at the top of the weight hierarchy.
Analysis of Statement II:
Deepak is lighter than Rahul and Manoj (D < R, M) but heavier than Vinod (D > V).
While this tells us that Manoj and Rahul are heavier than Deepak and Vinod, it does not specify which one between Manoj and Rahul is the heaviest.
Evaluate Statement I: It explicitly places Manoj above Rahul, and Rahul above the other two. Since Manoj is heavier than the person who is already heavier than Deepak and Vinod, Manoj must be the heaviest.
Evaluate Statement II: It groups Manoj and Rahul together as being heavier than Deepak. However, it fails to provide a direct comparison between Manoj and Rahul. Therefore, we cannot identify a single "heaviest" person using only this statement.
Conclusion: Since Statement I provides a complete answer on its own and Statement II does not, the answer is D.
