Question

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:

Accepted Answer

B. 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.

Linear Seating Arrangement of Six Persons

Explanation

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