O, P, Q, R, S and T are six sisters who are good at knitting. T is better than S. Q is better than R. O is better than P. Q is not as good as P. S is better than O. Who among the six is the best at knitting?
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Finding the Best Knitter Among Six Sisters
This problem involves analyzing a set of relative comparisons to determine the top-ranked individual among a group. We are given information about the knitting skills of six sisters: O, P, Q, R, S, and T. We need to use the given clues to figure out who is the best knitter.
Analyzing the Clues on Knitting Skills
Let's break down each statement and represent the relationships. We'll use the symbol '>' to mean 'is better than' at knitting.
- T is better than S: T > S
- Q is better than R: Q > R
- O is better than P: O > P
- Q is not as good as P: This means P is better than Q. P > Q
- S is better than O: S > O
Combining the Knitting Skill Relationships
Now let's combine these individual relationships to form a complete ranking or chain. We can link the statements together:
- We have S > O.
- We have O > P. Linking these gives S > O > P.
- We have P > Q. Linking this gives S > O > P > Q.
- We have Q > R. Linking this gives S > O > P > Q > R.
- Finally, we have T > S. Placing T at the beginning of the chain gives T > S > O > P > Q > R.
This chain shows the relative ranking of all six sisters based on their knitting skills, from best to worst:
T is the best, followed by S, then O, then P, then Q, and finally R is the least good at knitting among these six sisters based on the given information.
Let's visualize the relationships in a table format:
| Statement | Relationship |
|---|---|
| T is better than S | T > S |
| Q is better than R | Q > R |
| O is better than P | O > P |
| Q is not as good as P | P > Q |
| S is better than O | S > O |
Putting it all together:
T > S (from statement 1)
S > O (from statement 5)
O > P (from statement 3)
P > Q (from statement 4)
Q > R (from statement 2)
Combining these: T > S > O > P > Q > R
The person at the beginning of this combined chain is the best knitter.
Conclusion: Who is the Best Knitter?
Based on the combined relationships, T is better than everyone else in the group according to the given clues. Therefore, T is the best at knitting among the six sisters.
Revision Table: Knitting Skills Ranking
| Sister | Ranking Clues |
|---|---|
| T | Better than S |
| S | Better than O |
| O | Better than P |
| P | Better than Q |
| Q | Better than R, Not as good as P |
| R | Not explicitly better than anyone mentioned, worse than Q |
Final deduced ranking from best to worst: T > S > O > P > Q > R.
Additional Information: Ranking and Ordering Problems
Ranking and ordering problems are common in logical reasoning. They require you to arrange a set of items or individuals based on given clues about their relative positions or attributes. Here are some tips for solving them:
- Read each clue carefully and represent the relationship using symbols (like >, <, or equals).
- Write down each relationship as you identify it.
- Look for common elements in the relationships that allow you to link them together and form longer chains.
- If a direct chain cannot be formed immediately, try placing individuals on a line or in columns based on the clues.
- Double-check your combined ranking against the original clues to ensure consistency.
- Pay attention to phrases like "not as good as," which indicate the opposite relationship (e.g., "Q is not as good as P" means "P is better than Q").
Practicing these types of problems helps improve your ability to synthesize information and deduce overall order from partial comparisons.
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