Age Ordering Logic
The problem requires arranging five friends (Ram, Shiv, Sunil, Ravi, Rohan) by age in ascending order to identify the middle person.
Analyzing Age Comparisons
- Condition 1: Ram is older than Rohan (Ram > Rohan).
- Condition 2: Ravi is older than Sunil (Ravi > Sunil).
- Condition 3: Shiv is older than Sunil (Shiv > Sunil).
- Condition 4: Sunil's age is between Ram and Ravi. This implies either (Ram > Sunil AND Sunil > Ravi) OR (Ravi > Sunil AND Sunil > Ram).
Determining the Correct Age Order
We evaluate the two scenarios implied by Condition 4:
- Scenario 1: Ram > Sunil > Ravi. This contradicts Condition 2 (Ravi > Sunil). Thus, Scenario 1 is impossible.
- Scenario 2: Ravi > Sunil > Ram. This is consistent with Condition 2.
Integrating the other conditions with Scenario 2 (Ravi > Sunil > Ram):
- From Condition 1 (Ram > Rohan), we get the sequence: Ravi > Sunil > Ram > Rohan.
- We also know Shiv > Sunil (Condition 3). Shiv must be placed relative to Ravi and Sunil.
- Both Ravi and Shiv must be older than Sunil.
- Option A: Assume Ravi is older than Shiv (Ravi > Shiv). The combined order is Ravi > Shiv > Sunil > Ram > Rohan.
- Option B: Assume Shiv is older than Ravi (Shiv > Ravi). The combined order is Shiv > Ravi > Sunil > Ram > Rohan.
Verify these potential orders against Condition 4 (Sunil's age is between Ram and Ravi):
- Order A (Ravi > Shiv > Sunil > Ram > Rohan): Here, Ravi > Sunil and Sunil > Ram. This satisfies Condition 4. This order is valid.
- Order B (Shiv > Ravi > Sunil > Ram > Rohan): Here, Ravi > Sunil, but Sunil is also older than Ram (Sunil > Ram is false). Also, Sunil is younger than both Ravi and Shiv, not strictly between them in terms of age ranking with Ram. This order is invalid.
Therefore, the correct age order from oldest to youngest is: Ravi, Shiv, Sunil, Ram, Rohan.
Identifying the Middle Person
Arranging the friends in ascending order of age (youngest to oldest):
- Rohan
- Ram
- Sunil
- Shiv
- Ravi
In a list of five people, the middle position is the 3rd one. In this sequence, Sunil is in the 3rd position.