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:
- A.
Arrangement (A) & (B) are correct.
- B.
Arrangement (B) & (C) are correct.
- C.
Arrangement (C) & (D) are correct.
- D.
Arrangement (D) & (A) are correct.
B
Explanation
Let's check the given conditions against each option:
- D is the first one in the row (all options start with D).
- C is to the immediate left of B (i.e. 'C, B' pair).
- (A) has B, C incorrect.
- (B) has C, B valid.
- (C) has C, B valid.
- (D) has C, B valid.
- Two persons sit between C and G.
- In (B): D, C, B, H, G, E between C and G are B, H (2 persons). Valid.
- In (C): D, G, H, E, C, B between G and C are H, E (2 persons). Valid.
- In (D): D, G, E, H, C, B between G and C are E, H (2 persons). Valid.
- C and H are not sitting together.
- In (B): C is next to D and B C, H not together. Valid.
- In (C): C is next to E and B C, H not together. Valid.
- In (D): H is next to C C, H are together invalid.
Therefore, arrangements (B) & (C) are correct.
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