This problem involves a logical deduction based on seating arrangement clues. We need to determine the exact positions of seven people (A, B, C, D, E, F, G) sitting in a row facing north and then count how many people are to the right of person F.
Deducing Seating Arrangement Step-by-Step
Let's break down the clues to determine the order:
1. Identifying the Rightmost Position
Clue: "No one sits to the right of B."
Since everyone is facing north, the person on the extreme right has no one to their right. This means B must be in the last position.
- Total people: 7
- Position of B: $7^{th}$
Current Arrangement: $_ _ _ _ _ _ B$
2. Placing Person A Relative to B
Clue: "Only two people sit between B and A."
With B in the $7^{th}$ position, there are two spots between B and A. This places A three positions to the left of B.
- Calculation: Position of A = Position of B - 2 - 1 = $7 - 2 - 1 = 4$
- Position of A: $4^{th}$
Current Arrangement: $_ _ _ A _ _ B$
3. Placing Person D Relative to A
Clue: "A sits to the immediate left of D."
Since A is in the $4^{th}$ position, D must be immediately to A's right.
- Position of D: $5^{th}$
Current Arrangement: $_ _ _ A D _ B$
4. Placing Person E Relative to D
Clue: "Only three people sit between E and D."
D is in the $5^{th}$ position. Counting three people between E and D means E must be three positions to the left of D, plus the space for D itself. Thus, E is $5 - 3 - 1 = 1^{st}$ position.
- Position of E: $1^{st}$
Current Arrangement: $E _ _ A D _ B$
5. Placing the F-G Pair
Clue: "G sits to the immediate right of F."
This means F and G sit together in the order 'FG'.
Looking at the current arrangement $E _ _ A D _ B$, the available positions are $2^{nd}$, $3^{rd}$, and $6^{th}$. The 'FG' pair needs two adjacent spots. The only available adjacent spots are the $2^{nd}$ and $3^{rd}$ positions.
- Position of F: $2^{nd}$
- Position of G: $3^{rd}$
Current Arrangement: $E F G A D _ B$
6. Placing the Final Person
The only person left to place is C, and the only position left is the $6^{th}$ position.
- Position of C: $6^{th}$
7. Final Arrangement
Combining all the placements, the final seating arrangement from left ($1^{st}$) to right ($7^{th}$) is:
| Position | $1^{st}$ | $2^{nd}$ | $3^{rd}$ | $4^{th}$ | $5^{th}$ | $6^{th}$ | $7^{th}$ |
| Person | E | F | G | A | D | C | B |
8. Answering the Question
Question: How many people sit to the right of F?
Person F is in the $2^{nd}$ position.
The people sitting to the right of F (positions $3^{rd}$ to $7^{th}$) are G, A, D, C, and B.
Counting these individuals:
- G ($3^{rd}$)
- A ($4^{th}$)
- D ($5^{th}$)
- C ($6^{th}$)
- B ($7^{th}$)
There are 5 people sitting to the right of F.
Important Questions from Seating Arrangement (Notes)
Read the directions carefully and give the answer from the given options.
P, Q, R, S, T, K, L, M and N are sitting around a circle facing the centre.
K is $4^{th}$ to the right of P and P is $3^{rd}$ to the right of Q.
N is $4^{th}$ to the left of Q and $3^{rd}$ to the right of S.
R is $2^{nd}$ to the right of M and M is the immediate neighbour of P.
T is $2^{nd}$ to the left of L.
Who is to the immediate left of K?
Seven people, F, J, M, L, R, V and X, are sitting in a row, facing north.
Only three people sit to the left of X. Only M sits to the right of R. Only three people sit between R and V. J sits at some place to the left of L but at some place to the right of F.
How many people sit to the left of V?Seven boxes, A, B, C, D, E, F and G, are kept one over the other but not necessarily in the same order. Only A is kept above F. Only D is kept between F and C. Only E is kept below B. How many boxes are kept below C?
P, Q, R, S, T, U and V are sitting in a row, facing north. No one sits to the left of U. Only four people sit between U and R. Only three people sit to the right of V. P sits to the immediate left of S. Q is not an immediate neighbour of V. How many people sit between P and T?
Six people, B, C, D, I, J and K, are sitting around a circular table facing the centre. Only two people sit between B and I when counted from the right of I. K sits to the immediate left of J. I sits to the immediate right of C. Who among the following are the immediate neighbours of D?
