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Question

Six family members Mia, Noah, Olivia, Ethan, Grace, and Henry are seated at a circular table facing each other. Grace is second to the left of Ethan. Noah is to the immediate left of Henry, and Mia is second to the left of Noah. Who is the immediate neighbour of both Olivia and Noah?

The correct answer is
Henry

To solve the problem of finding the immediate neighbor of both Olivia and Noah, we need to determine the seating arrangement around the circular table. Let's solve it step by step:

  1. We know Grace is seated second to the left of Ethan. To visualize, let's assume Ethan is seated at position 1 (it's an arbitrary start as it's a circular table).
  2. Since Grace is second to the left of Ethan, Grace must be seated at position 3.
  3. Noah is to the immediate left of Henry. To satisfy this condition, if Henry is at position 6, then Noah must be at position 5 as he is immediately left of Henry.
  4. Mia is second to the left of Noah. If Noah is at position 5, then counting two positions to the left, Mia would be seated at position 3.
  5. Here, we notice a conflict; Grace was already assumed to be at position 3. Therefore, let's adjust starting positions:
  6. Reset and align arrangement correctly considering overlaps: Let's now consider Grace at position 2 (initial move was a guide). Considering Ethan (3rd to Grace), Henry cannot be at 1 (then Mia overlap would occur). Move Ethan to 4, so Grace correctly placed at position 6.
  7. Now, Noah fits correctly at 1, and Henry at 2. Mia now correctly follows the logical seating condition at position 5.
  8. This leaves position 4 for Olivia.
  9. Now let's check the positions:
Position123456
MemberNoahHenryEthanOliviaMiaGrace

Based on this final arrangement, Olivia is to the right of Ethan and Noah is to the immediate right of Olivia.

The immediate neighbor of both Olivia and Noah is Henry.

Therefore, the correct answer is Henry.

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Important Questions from Seating arrangement

  1. 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?

  2. 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?

  3. 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?

  4. 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?

  5. P got married 15 years ago. Today her age is 135 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?

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