Seven people, A, B, C, D, E, F and G, are sitting in a row, facing north. Only five people sit to the right of A. Only five people sit to the left of B. F is the immediate neighbour of G and E. C sits second to the left of E.
How many people sit to the left of G?
Correct Answer :
Four
Solution :
The correct option is Four.
Let's determine the step-by-step arrangement of seven people: A, B, C, D, E, F, and G, sitting in a single row facing north.
There are 7 position slots in a row, numbered from 1 to 7 from left to right:
[Pos 1] [Pos 2] [Pos 3] [Pos 4] [Pos 5] [Pos 6] [Pos 7]
Step 1: Place A and B using the given conditions.
- "Only five people sit to the right of A."
Since there are 7 positions, if 5 people sit to the right of A, then A must be at Position 2.
- "Only five people sit to the left of B."
Similarly, if 5 people sit to the left of B, B must be at Position 6.
Current row status:
Pos 1: _
Pos 2: A
Pos 3: _
Pos 4: _
Pos 5: _
Pos 6: B
Pos 7: _
Step 2: Determine the position of F, G, and E.
- "F is the immediate neighbour of G and E."
This means F must sit directly between G and E, forming a contiguous block of three positions: (G, F, E) or (E, F, G).
Looking at our row, the only available consecutive block of 3 open seats is at Positions 3, 4, and 5. Therefore, F must sit at Position 4, while G and E take Positions 3 and 5 in some order.
Step 3: Use the condition for C to fix G and E.
- "C sits second to the left of E."
This means C must be positioned 2 seats to the left of E ().
If E were at Position 3, then C would need to be at Position 1. If E were at Position 5, C would need to be at Position 3.
However, Position 3 is reserved for either G or E as part of the (G/E, F, E/G) block. So C cannot be at Position 3.
Therefore, E must be at Position 3, which puts C at Position 1.
Since E is at Position 3 and F is at Position 4, G must be at Position 5.
Step 4: Place the remaining person, D.
The only remaining vacant position is Position 7, so D sits at Position 7.
Final Seating Arrangement (from left to right):
Pos 1: C
Pos 2: A
Pos 3: E
Pos 4: F
Pos 5: G
Pos 6: B
Pos 7: D
Question: How many people sit to the left of G?
G is sitting at Position 5. The people sitting to the left of G are C, A, E, and F.
Counting them, there are exactly 4 (Four) people sitting to the left of G.
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