Find the tallest using chained height comparisons: Umesh is taller than Satish. Suresh is shorter than Neeraj but taller than Umesh. Who is the tallest among Umesh, Satish, Suresh, and Neeraj?

Difficulty: Easy

Correct Answer: Neeraj

Explanation:


Introduction / Context:
A short chain of inequalities can still identify an extreme (tallest). Here, we link the given comparisons and see who must be at the top.



Given Data / Assumptions:

  • Umesh > Satish.
  • Suresh > Umesh.
  • Neeraj > Suresh.
  • All heights are distinct.




Concept / Approach:
Transitivity of “taller than” gives a strict chain ending with Neeraj above Suresh, who is above Umesh, who is above Satish.



Step-by-Step Solution:

From Suresh > Umesh and Umesh > Satish ⇒ Suresh > Umesh > Satish.From Neeraj > Suresh ⇒ Neeraj > Suresh > Umesh > Satish.Therefore the tallest is Neeraj.




Verification / Alternative check:
Assign example heights (e.g., Neeraj 185, Suresh 180, Umesh 175, Satish 170). All constraints hold and Neeraj is tallest.



Why Other Options Are Wrong:

  • Suresh/Umesh/Satish are each below someone else in the chain.




Common Pitfalls:
Reversing any “shorter than” statement or overlooking the strictness of comparisons.



Final Answer:
Neeraj

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