Question :
Five friends Alex, Ben, Chris, David, and Emma are sitting around a circular table facing the center. Alex sits to the immediate right of Ben. Alex is not sitting next to Chris or David. David is to the immediate right of Emma. Who is sitting to the immediate right of Chris ?
Option :
- Emma
- Ben
- Alex
- David
correct answer : b)
Step-by-Step Explanation:
We have five friends sitting around a circular table: Alex, Ben, Chris, David, and Emma. Let’s break down the clues one by one to determine the correct seating arrangement.
—
#### **Clue 1:** *Alex sits to the immediate right of Ben.*
– This means if we place Ben in a seat, Alex is directly to his right (clockwise direction in a circle).
– We can represent this as: **Ben → Alex**
#### **Clue 2:** *Alex is not sitting next to Chris or David.*
– This means Chris and David are **not** adjacent to Alex.
– So, the neighbors of Alex must be **Ben (from Clue 1)** and someone else (not Chris or David). The only remaining person is **Emma**.
– Thus, the arrangement around Alex is: **Ben → Alex → Emma**
#### **Clue 3:** *David is to the immediate right of Emma.*
– This means Emma is directly to the left of David.
– From the previous step, we have **Alex → Emma → David**
– Now, our partial arrangement looks like:
**Ben → Alex → Emma → David**
#### **Filling in the remaining positions:**
– We have five seats, and so far, we’ve placed Ben, Alex, Emma, and David.
– The only person left is **Chris**, who must sit between **Ben** and **David** (since Alex cannot sit next to Chris, and Emma and David are already placed).
– The full arrangement is:
**Ben → Alex → Emma → David → Chris → Ben** (circular loop).
#### **Verification:**
1. **Alex is to the immediate right of Ben?**
– Yes: **Ben → Alex** ✅
2. **Alex is not next to Chris or David?**
– Alex’s neighbors are Ben and Emma. Correct. ✅
3. **David is to the immediate right of Emma?**
– Yes: **Emma → David** ✅
—
### **Final Seating Order (Clockwise):**
**Ben → Alex → Emma → David → Chris → Ben**
### **Answering the Question:**
*Who is sitting to the immediate right of Chris?*
– Chris is followed by **Ben** (since the table is circular).
– Therefore, the correct answer is **Ben (Option 2)**. ✅
—
### **Visualization:**
“`
Ben
/ \
Chris Alex
| |
David —— Emma
“`
– **Ben** is to the immediate right of **Chris** (moving clockwise).
Thus, the correct choice is **2. Ben**.