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In a survey, the following people were ranked based on their favorite colors: Al

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Question: In a survey, the following people were ranked based on their favorite colors: Alice prefers blue over red, but less than green. Bob prefers red over blue. Who prefers the least favorite color? (2023)

Options:

  1. Alice
  2. Bob
  3. Green
  4. Red

Correct Answer: Bob

Exam Year: 2023

Solution: 

The preference order is Green > Alice (Blue) > Bob (Red). Therefore, Bob prefers the least favorite color.

In a survey, the following people were ranked based on their favorite colors: Al

Practice Questions

Q1
In a survey, the following people were ranked based on their favorite colors: Alice prefers blue over red, but less than green. Bob prefers red over blue. Who prefers the least favorite color? (2023)
  1. Alice
  2. Bob
  3. Green
  4. Red

Questions & Step-by-Step Solutions

In a survey, the following people were ranked based on their favorite colors: Alice prefers blue over red, but less than green. Bob prefers red over blue. Who prefers the least favorite color? (2023)
  • Step 1: Identify Alice's color preferences. Alice prefers blue over red, which means blue is better than red for her. She also prefers green over blue, meaning green is her favorite color.
  • Step 2: Identify Bob's color preferences. Bob prefers red over blue, which means red is better than blue for him.
  • Step 3: Create a ranking based on the preferences. Since Alice's favorite is green, her next favorite is blue, and her least favorite is red. Bob's favorite is red, and his least favorite is blue.
  • Step 4: Compare the least favorite colors. Alice's least favorite color is red, while Bob's least favorite color is blue.
  • Step 5: Determine who prefers the least favorite color. Since Bob prefers red (which is Alice's least favorite), Bob prefers the least favorite color.
  • Preference Ranking – Understanding how to rank preferences based on given comparisons.
  • Transitive Property – Applying the transitive property of preferences to deduce the order of preferences.
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