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 Cand 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/onesof 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

Answer 1

The Correct Option is B

To solve this problem, we need to arrange the six persons B, C, D, E, G, and H in accordance with the given conditions. Let's analyze the conditions one by one:

1. Two persons are sitting between C and G.
2. C is placed to the immediate left of B.
3. D is the first one in the row.
4. C and H are not sitting together.

Let's use these conditions to determine the correct arrangement:

1. D is the first one in the row. So, D must be placed at the beginning. This gives us the initial position: D, _, _, _, _, _.
2. C is placed to the immediate left of B. This means C must be directly before B.
3. Two persons are sitting between C and G. This implies the following possibilities:
   • C at position 3, G at position 6: D, _, C, _, _, G. 
   • C at position 2, G at position 5: D, C, _, _, G, _.
4. C and H are not sitting together. This condition will help us decide the remaining placements.

Now, let's evaluate these steps with the options provided:

1. Option 1: D, H, G, E, B, C
   • This option violates the condition that C is immediately to the left of B. Here, C is at the end.
2. Option 2: D, C, B, H, G, E
   • In this arrangement, C is immediately to the left of B, satisfying the second condition.
   • G is placed two positions away from C, meeting the first condition.
   • C and H are not adjacent, satisfying the fourth condition.
3. Option 3: D, G, H, E, C, B
   • This option does not place C immediately to the left of B, violating the second condition.
4. Option 4: D, G, E, H, C, B
   • Similar to Option 3, this does not have C immediately to the left of B.
   • Additionally, C and H are adjacent, violating the fourth condition.

Based on the above analysis, the correct arrangement is D, C, B, H, G, E, which satisfies all the given conditions.