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?

Difficulty: Easy

Correct Answer: Raju

Explanation:


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:

From chain 1: Raju > Vasant > Manohar.From chain 2: Manohar > Jayant > Dutta.Merged: Raju > Vasant > Manohar > Jayant > Dutta.




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

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