Question:

Vaishnavi prefers Economics to Maths, English to Social Science, and Political Science to History. If she prefers Maths to History, and Social Science to Maths, which is Vaishnavi’s least preferred subject?

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In preference order problems, convert comparisons into inequality chains and then merge them logically to find the highest and lowest ranks.
Updated On: Aug 14, 2025
  • History
  • Economics
  • Social Science
  • Maths
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The Correct Option is A

Solution and Explanation

Step 1: We will arrange the preferences in order using the given comparisons.
Step 2: From “Economics to Maths” — Economics is preferred over Maths. So: \( E>M \).
Step 3: From “English to Social Science” — English is preferred over Social Science: \( En>SS \).
Step 4: From “Political Science to History” — Political Science is preferred over History: \( PS>H \).
Step 5: From “Maths to History” — Maths is preferred over History: \( M>H \).
Step 6: From “Social Science to Maths” — Social Science is preferred over Maths: \( SS>M \).
Step 7: Combining: \( E>M>H \) but also \( SS>M>H \) and \( En>SS \). Political Science is unrelated directly to others except \( PS>H \).
Step 8: Clearly, History is at the bottom because in all cases where it is mentioned, it is less preferred than other subjects.
Thus, Vaishnavi’s least preferred subject is History.
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