Five students took part in a cycling competition. Robert finished before Monish but behind Gunjan. Anil finished before Sunil but behind Monish. Who won the competition?
Gunjan
The question asks us to determine the winner of a cycling competition based on the relative finishing positions of five students: Robert, Monish, Gunjan, Anil, and Sunil. To find the winner, we need to establish the complete finishing order from the given clues.
Let's represent the finishing order using the concept of 'finished before' or 'was faster than'. We can use the symbol '>' to denote 'finished before'.
Now, let's combine these relationships to determine the sequence from the first finisher (the winner) to the last.
We have the following relationships:
Let's link these together:
This sequence gives us the finishing order from first place to last place.
The sequence we derived is:
Gunjan $\rightarrow$ Robert $\rightarrow$ Monish $\rightarrow$ Anil $\rightarrow$ Sunil
The student who finished first in the competition is the one at the beginning of this sequence.
Therefore, Gunjan won the cycling competition.
Based on the given information, we can list the students in the order they finished the race:
| Position | Student |
|---|---|
| 1st (Winner) | Gunjan |
| 2nd | Robert |
| 3rd | Monish |
| 4th | Anil |
| 5th (Last) | Sunil |
This confirms that Gunjan finished in the first position.
| Statement | Relationship | Inferred Order (Partial) |
|---|---|---|
| Robert finished before Monish | $\text{Robert} > \text{Monish}$ | Robert, Monish |
| Robert finished behind Gunjan | $\text{Gunjan} > \text{Robert}$ | Gunjan, Robert, Monish |
| Anil finished before Sunil | $\text{Anil} > \text{Sunil}$ | Anil, Sunil |
| Anil finished behind Monish | $\text{Monish} > \text{Anil}$ | Monish, Anil, Sunil |
| Combining all | $\text{Gunjan} > \text{Robert} > \text{Monish} > \text{Anil} > \text{Sunil}$ | Gunjan, Robert, Monish, Anil, Sunil |
Problems involving the relative order or ranking of individuals or items are common in logical reasoning. Here are some tips for solving them:
This type of problem tests your ability to perform logical deduction and synthesize information from multiple sources.
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