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Question

Seven friends A, B, C, D, E, F and G are sitting in a straight line facing north. D is between A and B. C is to the immediate left of E. F is at one of the corners. Two persons are sitting between G and B. C is to the immediate right of B. F is sitting adjacent to A. Who is sitting between C and G?

The correct answer is

E

Understanding the Seating Arrangement Puzzle

This question is a linear seating arrangement puzzle. We are given clues about the relative positions of seven friends (A, B, C, D, E, F, G) sitting in a straight line facing north. Our goal is to use these clues to determine the exact order in which they are sitting and then answer the specific question asked.

Breaking Down the Clues

Let's list out the given clues:

  • D is between A and B.
  • C is to the immediate left of E.
  • F is at one of the corners.
  • Two persons are sitting between G and B.
  • C is to the immediate right of B.
  • F is sitting adjacent to A.

Step-by-Step Solution to Build the Arrangement

We need to combine these clues systematically to determine the seating order of the seven friends (7 positions).

Let's start with the most definitive relative position clues:

  1. Clue 5: C is to the immediate right of B. This establishes a sequence: B C
  2. Clue 2: C is to the immediate left of E. Combining with the previous step (B C), we get: B C E

Now let's integrate the other clues:

  1. Clue 1: D is between A and B. Since we have the sequence B C E, D and A must be to the left of B to be between A and B in the form A D B. So, we get the sequence: A D B C E. This accounts for 5 people.
  2. Clue 6: F is sitting adjacent to A. In the sequence A D B C E, A is at the left end. For F to be adjacent to A, F must be immediately to A's left. This gives us: F A D B C E. This sequence has 6 people.
  3. Clue 3: F is at one of the corners. In the sequence F A D B C E, F is at the leftmost position. This confirms that F is indeed at a corner (the left corner).

We have accounted for 6 people (F, A, D, B, C, E) and determined their relative positions: F A D B C E. Since there are 7 friends, the last friend, G, must occupy the remaining position. The sequence F A D B C E occupies positions 1 through 6 (from left). G must be in position 7.

The arrangement is thus: F A D B C E G.

Let's quickly verify the remaining clue with this full arrangement:

  • Clue 4: Two persons are sitting between G and B. In the arrangement F A D B C E G, B is at position 4 and G is at position 7. The people between B and G are C (position 5) and E (position 6). There are exactly two persons (C and E) between B and G. This clue is satisfied.

Final Seating Arrangement

Based on all the clues, the final seating arrangement from left to right is:

F A D B C E G

Answering the Question: Who is sitting between C and G?

Looking at the final arrangement (F A D B C E G), we can see the positions of C and G:

Position 1 Position 2 Position 3 Position 4 Position 5 Position 6 Position 7
F A D B C E G

The person sitting between C and G is E.

Conclusion

By systematically using the given clues, we deduced the complete seating arrangement. Identifying the positions of C and G in this arrangement allowed us to find the person sitting between them.

Revision Table: Seating Arrangement Clues

Clue Implication / Deduction Progress
C is immediate right of B B C sequence B C
C is immediate left of E Combines with B C B C E
D is between A and B A D B sequence; D and A are left of B A D B C E
F is adjacent to A F is immediately left of A F A D B C E
F is at a corner Confirms F is at the left end F A D B C E (left corner confirmed)
Two persons between G and B Remaining person G must be right of E to fit condition with B F A D B C E G (final arrangement)

Additional Information: Types of Seating Arrangements

Seating arrangement questions are common in logical reasoning sections of exams. They can involve various setups:

  • Linear Arrangement: People sit in a straight line, usually facing the same direction (north, south) or opposite directions.
  • Circular Arrangement: People sit around a circle (table). They can be facing the center or away from the center.
  • Rectangular/Square Arrangement: People sit around a rectangular or square table, often with some at corners and some at the sides.

Key strategies involve identifying strong direct clues, combining related clues, considering all possibilities for "between" scenarios (unless direction is specified), and using negative information (who is NOT next to whom, if given). Always verify the final arrangement against all original clues.

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Important Questions from Linear Arrangement

  1. Seven people, A, B, C, D, E, F and G, are sitting in a straight row facing the north. Only two people sit to the left of C. Only two people sit between A and B. B sits to the left of A. E is an immediate neighbour of A to the right. Only one person sits to the right of D. F is not an immediate neighbour of B. Who sits at the centre?

  2. P, Q, R and S are sitting on a bench and facing in the same direction. P sits next to Q but not next to R. S, who is sitting on the extreme right, does not sit next to either Q or R. How many of them each have two neighbors?

  3. 5 boys A, B, C, D and E are sitting in a row. E is sitting between D and A, B is to the right of A, C is at one of the extreme ends and C and D are sitting next to each other. Which of the following statement is false?

  4. Five friends Ram, Priya, Raunak, Aditya and Shyam are sitting in a row facing north. Raunak is to the right of Shyam and Priya is to the left of Shyam but to the right of Rama. Raunak is to the left of Aditya. Who is fourth from the left end?

  5. Seven friends P, Q, R, S, T, U, and V are sitting in a straight line facing north. Q sits fifth to the right of T. Q does not sit at any of the extreme ends. Two people sit between U and R. S sits third to the left of V. S sits exactly in the middle. U is not an immediate neighbour of P.

    How many people sit between R and V?

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