Determine the tallest among five with mixed comparisons: Among five boys, Vasant is taller than Manohar but shorter than Raju. Jayant is taller than Dutta but shorter than Manohar. Who is the tallest?

Introduction / Context:We stack inequalities to identify the maximum. The statements create a clear chain leading to a unique tallest person.

Given Data / Assumptions:

• Vasant < Raju and Vasant > Manohar ⇒ Raju > Vasant > Manohar.
• Jayant > Dutta and Jayant < Manohar ⇒ Manohar > Jayant > Dutta.

Concept / Approach:Merge the two chains. Since Raju is above Vasant, who is above Manohar, and Manohar is above Jayant and Dutta, Raju ends up at the top.

Step-by-Step Solution:

Verification / Alternative check:No statement gives anyone above Raju. Therefore the tallest is uniquely determined.

Why Other Options Are Wrong:

• Manohar/Vasant/Jayant: Each is below someone else in the merged chain.
• Cannot be determined: We can determine; data are sufficient.

Common Pitfalls:Reversing a comparison or misplacing Vasant relative to Manohar.

Final Answer:Raju