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Question

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?

The correct answer is

Gunjan

Analyzing Cycling Competition Results

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.

Breaking Down the Clues for Cycling Order

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'.

  • Clue 1: Robert finished before Monish.
  • This can be written as: $\text{Robert} > \text{Monish}$
  • Clue 2: Robert finished behind Gunjan.
  • This means Gunjan finished before Robert.
  • This can be written as: $\text{Gunjan} > \text{Robert}$
  • Clue 3: Anil finished before Sunil.
  • This can be written as: $\text{Anil} > \text{Sunil}$
  • Clue 4: Anil finished behind Monish.
  • This means Monish finished before Anil.
  • This can be written as: $\text{Monish} > \text{Anil}$

Establishing the Complete Finishing Order

Now, let's combine these relationships to determine the sequence from the first finisher (the winner) to the last.

We have the following relationships:

  1. $\text{Gunjan} > \text{Robert}$
  2. $\text{Robert} > \text{Monish}$
  3. $\text{Monish} > \text{Anil}$
  4. $\text{Anil} > \text{Sunil}$

Let's link these together:

  • From (1) and (2): $\text{Gunjan} > \text{Robert} > \text{Monish}$
  • Now add (3): $\text{Gunjan} > \text{Robert} > \text{Monish} > \text{Anil}$
  • Finally, add (4): $\text{Gunjan} > \text{Robert} > \text{Monish} > \text{Anil} > \text{Sunil}$

This sequence gives us the finishing order from first place to last place.

Identifying the Cycling Competition Winner

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.

Summary of Cycling Race Results

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.

Revision Table: Cycling Competition Logic

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

Additional Information: Solving Order and Ranking Problems

Problems involving the relative order or ranking of individuals or items are common in logical reasoning. Here are some tips for solving them:

  • Read each statement carefully and identify the relationship it describes (e.g., A is before B, X is taller than Y).
  • Use symbols or abbreviations to represent the individuals and the relationships (like '>' for 'finished before').
  • Write down each relationship as an inequality or ordered pair.
  • Combine the relationships sequentially. Look for common elements between statements to link them together. For example, if you have A > B and B > C, you can combine them to get A > B > C.
  • Draw a diagram or create a list to visualize the order if it helps.
  • Once the complete or partial order is established, answer the specific question asked.
  • Always double-check your combined order against the original statements to ensure consistency.

This type of problem tests your ability to perform logical deduction and synthesize information from multiple sources.

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Important Questions from Ordering and Ranking

  1. In a row, Mansi is 29th from the left and 33rd from the right. How many students are there in the row?

  2. A class has a total of 60 students. Student 'B' is at 41st rank in merit order from the bottom. What is the rank of student 'B' from the top?

  3. A medical representative plans to visit each of six hospitals — A, B, C, D, E and F — exactly once during the course of one day. He is setting up his schedule for the day according to the following conditions:

    i. He must visit A before B and E.

    ii. He must visit B before D.

    iii. The third hospital he visits must be C.

    Which of the following could be the possible order in which the medical representative visits the six hospitals?
  4. Sonam is older than Renu. Komal is younger than Renu. Priya is older than Sonam. Who is the eldest of them?

  5. Five men P, Q, R, S and T are reading a newspaper. The one who reads it first, gives it to T. The one who reads it last, had taken it from R. Q is not the first or last one to read it. There were two readers between P and R. Who is the third one to have read the newspaper?

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