There is only one dictionary in a Library which will be used by 6 students P, Q, R, S, T and U, one by one. S will use it immediately after Q and before P. T will use it immediately after R and before U. R will use the dictionary after P. Who will use the dictionary the last?
U
This problem asks us to determine the order in which six students (P, Q, R, S, T, U) use a single dictionary in a library, based on a set of given rules. We need to find out who uses the dictionary last.
Let's list the rules provided:
We can use the clues to build segments of the sequence and then combine them.
From Rule 1:
S uses it immediately after Q, meaning Q comes right before S. S uses it before P, meaning P comes after S. Putting this together gives us the sequence segment:
Q → S → P
(This means Q is followed immediately by S, and S is followed by P, but not necessarily immediately).
From Rule 2:
T uses it immediately after R, meaning R comes right before T. T uses it before U, meaning U comes after T. Putting this together gives us the sequence segment:
R → T → U
(This means R is followed immediately by T, and T is followed by U, but not necessarily immediately).
From Rule 3:
R will use the dictionary after P. This tells us the relative order of P and R:
P → R
(This means P comes before R).
Now let's combine the segments we found:
This final sequence Q → S → P → R → T → U includes all six students (Q, S, P, R, T, U) and satisfies all the given conditions:
The sequence shows the order from first to last: Q, S, P, R, T, U. The student who uses the dictionary last in this sequence is the student at the very end.
The last student in the sequence Q, S, P, R, T, U is U.
| Usage Turn | Student |
|---|---|
| 1st | Q |
| 2nd | S |
| 3rd | P |
| 4th | R |
| 5th | T |
| 6th | U |
Therefore, U will use the dictionary the last.
| Rule | Relationship |
|---|---|
| Rule 1 | Q → S → P |
| Rule 2 | R → T → U |
| Rule 3 | P → R |
Logic and sequencing puzzles, like the one involving the student dictionary usage, require careful analysis of given rules or conditions to deduce the correct order or arrangement of items or events. These puzzles test your ability to follow instructions, combine multiple pieces of information, and use deductive reasoning.
Practice with different types of sequencing puzzles can help improve your logical reasoning skills, which are useful in many academic and real-world situations.
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