Six students Melanie, Sucheta, Martin, Suzanne, Danish and Jacob are sitting around a circular table facing the centre. Melanie is sitting second to the right of Sucheta.
Suzanne is an immediate neighbour of Melanie and Sucheta. Danish is sitting third to the right of Suzanne. Martin is an immediate neighbour of Sucheta and Danish. Jacob is sitting third to the right of Sucheta. Who is sitting between Martin and Suzanne?
Understanding the Circular Table Seating Arrangement
This problem involves arranging six students (Melanie, Sucheta, Martin, Suzanne, Danish, Jacob) around a circular table, facing the centre. We need to deduce the seating order based on the given clues to answer who sits between Martin and Suzanne.
Step-by-Step Deduction of Seating Arrangement
We will determine the positions step-by-step, assuming positions 1 to 6 clockwise around the table.
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Place Sucheta: Let's place Sucheta (S) at position 1.
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Place Melanie: "Melanie is sitting second to the right of Sucheta." Counting two positions to the right of Sucheta (position 1) brings us to position 3. So, Melanie (M) is at position 3.
Arrangement: S (1), _ (2), M (3), _ (4), _ (5), _ (6)
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Place Suzanne: "Suzanne is an immediate neighbour of Melanie and Sucheta." This means Suzanne (Suz) must sit exactly between Sucheta and Melanie. So, Suzanne is at position 2.
Arrangement: S (1), Suz (2), M (3), _ (4), _ (5), _ (6)
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Place Danish: "Danish is sitting third to the right of Suzanne." Suzanne is at position 2. Counting three positions to the right (position 2 + 3 = 5) places Danish (D) at position 5.
Arrangement: S (1), Suz (2), M (3), _ (4), D (5), _ (6)
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Place Jacob: "Jacob is sitting third to the right of Sucheta." Sucheta is at position 1. Counting three positions to the right (position 1 + 3 = 4) places Jacob (J) at position 4.
Arrangement: S (1), Suz (2), M (3), J (4), D (5), _ (6)
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Place Martin: The only remaining student is Martin (Ma), and the only empty seat is position 6. Let's verify the condition: "Martin is an immediate neighbour of Sucheta and Danish." Martin at position 6 is indeed adjacent to Sucheta at position 1 (circularly) and Danish at position 5. This condition is satisfied.
Final Arrangement (Clockwise): Sucheta (1), Suzanne (2), Melanie (3), Jacob (4), Danish (5), Martin (6)
Final Seating Check
Let's quickly re-check all the conditions with the final arrangement:
- Melanie (3) is second to the right of Sucheta (1). (Correct)
- Suzanne (2) is between Sucheta (1) and Melanie (3). (Correct)
- Danish (5) is third to the right of Suzanne (2). (Correct)
- Martin (6) is a neighbour to Sucheta (1) and Danish (5). (Correct)
- Jacob (4) is third to the right of Sucheta (1). (Correct)
Identifying Who Sits Between Martin and Suzanne
The final clockwise seating order is: Sucheta, Suzanne, Melanie, Jacob, Danish, Martin.
To find who is between Martin and Suzanne:
- Consider Martin's position (6) and Suzanne's position (2).
- Moving clockwise from Martin (6), the next person is Sucheta (1), followed by Suzanne (2).
- Moving counter-clockwise from Martin (6), the next person is Danish (5), then Jacob (4), then Melanie (3), then Suzanne (2).
- The person sitting immediately between Martin (position 6) and Suzanne (position 2) in the circular arrangement is Sucheta (position 1).
Therefore, Sucheta is sitting between Martin and Suzanne.
Important Questions from Seating arrangement
Seven people A, B, C, D, E, F and G are sitting around a circular table, facing the centre (but not necessarily in the same order). A is sitting second to the right of E. Only one person is sitting between D and A. B is sitting third to the right of G. F is an immediate neighbour of B. How many people are sitting between D and E when counted from the left of E?
Seven people A, B, C, D, E, F, and G are sitting around a circular table, facing the center (but not necessarily in the same order). C is sitting to the immediate right of E. D is sitting third to the left of C. A is the immediate neighbor of B and C. F is not the immediate neighbor of E. What is the position of G with respect to A?
P, Q, R, S, T, U, V and W are sitting around a circular table facing the centre (but not necessarily in the same order).
P is sitting to the immediate right of V and third to the left of U.
S is sitting fourth to the right of Q, who is not an immediate neighbour of P and T.
Q is sitting to the second right of U.
R is sitting to the immediate right of Q and second to the left of P.
How many people are sitting between R and T when counted from the left of T?
Rajan, Pragyan, Kamal, Sachin, Ashok, Narendra, and Laksh are sitting around a circular table, facing the centre (but not necessarily in the same order).
Rajan sits 3rd to the right of Narendra. Kamal sits 2nd to the right of Rajan.
Ashok is an immediate neighbour of Narendra. Pragyan sits to the immediate right of Sachin.
Who is sitting 3rd to the left of Narendra?
P got married 15 years ago. Today her age is 13⁄5 times her age at the time of her marriage. At present her son’s age is 1⁄5 of her age. What was her son’s age 4 years ago as a fraction of P’s age at that time?
