Directions: Read the following information carefully and answer the questions that follow:
Nine persons—A, B, C, D, E, F, G, H, and I—sit around a circular table facing towards the center, but not necessarily in the same order. B sits third to the right of E. Two persons sit between E and H. D sits second to the left of B. A sits third to the right of D. I sits immediately between A and H. C sits immediately between B and D. F sits to the immediate right of G.
How many persons sit between C and G when counted from the left of G?
Correct Answer :
Four
Solution :
The correct answer is Four.
Step-by-step explanation:
Step 1: Understand the directions
Nine persons—A, B, C, D, E, F, G, H, and I—sit around a circular table facing towards the center.
• When facing towards the center:
- Moving Right refers to the counter-clockwise direction.
- Moving Left refers to the clockwise direction.
Step 2: Determine the positions of each person
1. B sits third to the right of E:
Placing E at a fixed position, counting 3 positions in the counter-clockwise direction gives B.
(Order counter-clockwise: E _ _ B)
2. Two persons sit between E and H:
Since B occupies the position 3 steps to the right of E, H must be placed 3 steps to the left (clockwise) of E.
(Order counter-clockwise: H _ _ E _ _ B)
3. D sits second to the left of B:
Moving 2 steps clockwise from B places D between E and B.
(Order counter-clockwise: H _ _ E D _ B)
4. C sits immediately between B and D:
C occupies the spot between D and B.
(Order counter-clockwise: H _ _ E D C B)
5. A sits third to the right of D:
Counting 3 steps counter-clockwise from D (D → C → B → A) places A immediately to the right of B.
(Order counter-clockwise: H _ _ E D C B A)
6. I sits immediately between A and H:
I occupies the position between A and H.
(Order counter-clockwise: H _ _ E D C B A I)
7. F sits to the immediate right of G:
The remaining two empty spots between H and E are occupied by G and F such that F is to the immediate right (counter-clockwise) of G.
(Final arrangement in counter-clockwise order: H → G → F → E → D → C → B → A → I → H)
Step 3: Count the persons between C and G from the left of G
Counting from the left of G means moving in the clockwise direction from G towards C:
• 1st person to the left of G: H
• 2nd person to the left of G: I
• 3rd person to the left of G: A
• 4th person to the left of G: B
• 5th person is C.
Therefore, there are 4 persons (H, I, A, and B) sitting between C and G when counted from the left of G.
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