Analyzing the Logical Reasoning Puzzle

This problem requires us to use the given clues to deduce which boy eats which food and likes which bird. We have five boys (A, B, C, D, E), five foods (F1, F2, F3, F4, F5), and five birds (B1, B2, B3, B4, B5). Each boy is uniquely paired with one food and one bird.

Step-by-Step Deduction

Let's build a table to keep track of the information and deductions as we go through the clues:

Now let's process the clues:

• Clue 1: B eats F2. We can fill this in the table.
• Clue 3: E eats F1 but does not like B1 or B2. We fill in E's food. We also know E's bird is not B1 or B2.
• Clue 4: C does not eat F4 but likes B5. We fill in C's bird.

• From Clue 3, E eats F1 and does not like B1 or B2. Remaining birds are B3, B4, B5. C likes B5, so E cannot like B5. Thus, E likes B3 or B4.
• Clue 5: The one who eats F3 likes B3. This gives us a pair (F3, B3).
• Clue 2: A does not like B3. Since the person who eats F3 likes B3, A does not eat F3 either.
• Consider E again. E eats F1. If E liked B3, then according to Clue 5, E would eat F3. But E eats F1. So E cannot like B3. Since E likes B3 or B4, and cannot like B3, E must like B4.

• Now we use the (F3, B3) pair (Clue 5). Which boy eats F3 and likes B3?
  • A does not like B3, so A is not the (F3, B3) boy.
  • B eats F2, so B is not the (F3, B3) boy.
  • C likes B5, so C is not the (F3, B3) boy.
  • E eats F1 and likes B4, so E is not the (F3, B3) boy.
  Therefore, D must be the boy who eats F3 and likes B3.

• Remaining foods are F4, F5. Remaining birds are B1, B2. Boy Food Bird Assignments so far: (E, F1, B4), (B, F2, ?), (D, F3, B3), (C, ?, B5), (A, ?, ?).
• Remaining boys for food/bird: A, B, C. Remaining foods: F4, F5. Remaining birds: B1, B2.
• Clue 6: B does not like B2. Since B needs a bird from the remaining list (B1, B2) and does not like B2, B must like B1.

• Remaining bird is B2. The remaining boy without a bird is A. So, A must like B2.

• Remaining foods are F4, F5. Remaining boys for food are A, C. C does not eat F4 (Clue 4). So, C must eat F5.
• The only remaining food is F4, and the only remaining boy without food is A. So, A must eat F4.

The final complete assignment is:

Evaluating the Statements

Now let's check the given statements based on our final table:

1. I. A likes B2. Looking at the table, A likes B2. This statement is Correct.
2. II. C eats F5. Looking at the table, C eats F5. This statement is Correct.
3. III. E likes B4. Looking at the table, E likes B4. This statement is Correct.

All three statements (I, II, and III) are correct based on our deductions.