Identify the lowest scorer from pairwise comparisons: Priti scored more than Rahul. Yamuna scored as much as Divya. Lokita scored less than Manju. Rahul scored more than Yamuna. Manju scored less than Divya. Who scored the lowest?
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AManju
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BYamuna
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CLokita
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DRahul
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EDivya
Answer
Correct Answer: Lokita
Explanation
Introduction / Context:Score-ordering problems use inequality chains and equalities to derive a total order or at least extremes. Here we must find the minimum scorer using consistent pairwise relations.
Given Data / Assumptions:
- Priti > Rahul.
- Yamuna = Divya.
- Lokita < Manju.
- Rahul > Yamuna.
- Manju < Divya.
Concept / Approach:Start from the equality Yamuna = Divya, then use Rahul > Yamuna to place Rahul above both. Since Manju < Divya (and Divya = Yamuna), Manju is below that equal pair; and Lokita < Manju places Lokita at the bottom. Priti > Rahul puts Priti at or near the top but does not affect the minimum.
Step-by-Step Solution:
From Rahul > Yamuna and Yamuna = Divya ⇒ Rahul > Divya and Rahul > Yamuna.From Manju < Divya ⇒ Manju below (Divya = Yamuna).From Lokita < Manju ⇒ Lokita is below Manju.Priti > Rahul is above all these; the bottom remains Lokita.Verification / Alternative check:Construct a numeric example: Let Divya = Yamuna = 80; Rahul = 85; Priti = 90; Manju = 78; Lokita = 70. All statements hold and Lokita is clearly the lowest.
Why Other Options Are Wrong:
- Manju: Above Lokita.
- Yamuna/Divya: Equal to each other and above Manju, hence above Lokita.
- Rahul: Above the equal pair and thus far from the bottom.
Common Pitfalls:Overlooking the equality (Yamuna = Divya) and misplacing Manju relative to them, which would flip the minimum incorrectly.
Final Answer:Lokita