Understanding the Fruit Sweetness Comparisons

The question asks us to determine which fruit among the six given fruits (A, B, C, D, E, and F) is the least sweet based on a series of comparison statements. We need to analyze each statement and build a relative ranking of the fruits based on their sweetness.

Breaking Down the Sweetness Statements

Let's translate each statement into a comparison:

• "A is sweeter than D": This means the sweetness of A > the sweetness of D.
• "but not as sweet as B": This refers to A. A is not as sweet as B, meaning B is sweeter than A. Sweetness of B > Sweetness of A.
• "E and B are not as sweet as F": This means F is sweeter than both E and B. Sweetness of F > Sweetness of E and Sweetness of F > Sweetness of B.
• "D is sweeter than C": This means the sweetness of D > the sweetness of C.
• "E is sweeter than A": This means the sweetness of E > the sweetness of A.

Structuring the Sweetness Ranking

Now let's combine these inequalities to establish a relative order of sweetness. We can represent sweetness relationships using the '>' symbol (sweeter than):

From the statements, we have:

• A > D
• B > A
• F > E
• F > B
• D > C
• E > A

Let's try to form chains of sweetness:

1. We know D > C. C is less sweet than D.
2. We know A > D. Combining with the previous point, A > D > C. This shows C is less sweet than D and A.
3. We know B > A. Combining with the chain, B > A > D > C. This shows C is less sweet than D, A, and B.
4. We know E > A. Since A > D > C, we can also form the chain E > A > D > C. This shows C is less sweet than D, A, and E.
5. So far, C is less sweet than D, A, B, and E.
6. We know F > E and F > B. Since both E and B are sweeter than C (as shown in steps 3 and 4), F must also be sweeter than C.

All comparisons indicate that C is less sweet than every other fruit (D, A, B, E, and F).

Identifying the Least Sweet Fruit

Based on the combined relationships:

• B > A
• E > A
• A > D
• D > C
• F > E
• F > B

The chain B > A > D > C shows C is the least sweet in this line.

The chain E > A > D > C also shows C is the least sweet in this line.

Since F is sweeter than E and B, and E and B are both sweeter than C, F is also sweeter than C.

Therefore, C is less sweet than all the other fruits (A, B, D, E, and F).

Combining these, we can confidently say that C is the fruit with the lowest sweetness among the six.

Conclusion

By analyzing all the given conditions, we found that Fruit C is less sweet than Fruit D, Fruit A, Fruit B, Fruit E, and Fruit F. Thus, Fruit C is the least sweet fruit among the six.

Revision Table: Fruit Sweetness Problem

Additional Information: Logic Reasoning Questions

This type of question is a classic example of a logic puzzle involving relative comparisons. To solve such problems effectively, it's helpful to:

• Translate statements into symbolic representations (like inequalities).
• Look for direct and indirect connections between the elements (fruits, in this case).
• Build chains or diagrams to visualize the relationships.
• Start with the most constrained relationships or try to find the possible extremes (like the least sweet or most sweet).
• Systematically combine the pieces of information until the required conclusion can be drawn.

Practice with different types of comparison questions (taller/shorter, heavier/lighter, faster/slower) helps build these logical reasoning skills.