Linear Seating Arrangement of Six Persons

CMAT 2022 · Logical Reasoning · Medium · Seating Arrangement

B, C, D, E, G, H are six persons sitting in a row, not necessarily in the same order. Two persons are sitting between C and G. C is placed to the immediate left of B. D is the first one in the row. C and H are not sitting together. Which one/ones of the following represent/s the correct arrangement of their sitting?

(A) D, H, G, E, B, C (B) D, C, B, H, G, E (C) D, G, H, E, C, B (D) D, G, E, H, C, B

Choose the correct answer from the options given below:

  1. A.

    Arrangement (A) & (B) are correct.

  2. B.

    Arrangement (B) & (C) are correct.

  3. C.

    Arrangement (C) & (D) are correct.

  4. D.

    Arrangement (D) & (A) are correct.

Answer

B

Explanation

Let's check the given conditions against each option:

  1. D is the first one in the row (all options start with D).
  2. C is to the immediate left of B (i.e. 'C, B' pair).
    • (A) has B, C   ⟹  \implies incorrect.
    • (B) has C, B   ⟹  \implies valid.
    • (C) has C, B   ⟹  \implies valid.
    • (D) has C, B   ⟹  \implies valid.
  3. Two persons sit between C and G.
    • In (B): D, C, B, H, G, E   ⟹  \implies between C and G are B, H (2 persons). Valid.
    • In (C): D, G, H, E, C, B   ⟹  \implies between G and C are H, E (2 persons). Valid.
    • In (D): D, G, E, H, C, B   ⟹  \implies between G and C are E, H (2 persons). Valid.
  4. C and H are not sitting together.
    • In (B): C is next to D and B   ⟹  \implies C, H not together. Valid.
    • In (C): C is next to E and B   ⟹  \implies C, H not together. Valid.
    • In (D): H is next to C   ⟹  \implies C, H are together   ⟹  \implies invalid.

Therefore, arrangements (B) & (C) are correct.

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