Five students—Farah, Huda, Leen, Maya, and Nour—sat for an examination. Farah scored higher than Huda. Leen scored higher than Maya. Huda scored higher than Leen. Nour scored higher than Farah. Who scored the lowest among the five students?

Answer and explanation

Correct answer: A. Maya

  1. Step 1: Transcribe given scoring relationships into inequalities:
  2. Step 2: 1. Farah > Huda
  3. Step 3: 2. Leen > Maya
  4. Step 4: 3. Huda > Leen
  5. Step 5: 4. Nour > Farah
  6. Step 6: Chain the inequalities together: Nour > Farah > Huda > Leen > Maya.
  7. Step 7: Identify the student at the bottom of the ranking: Maya.
Answer
Maya.
Why not the others: 'Leen' scored higher than Maya; 'Huda' scored higher than both Leen and Maya; 'Farah' scored higher than Huda, Leen, and Maya.

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