Directions (67-69) : Study the following information carefully and answer the questions given  below:
Six persons sit around a circular table but not necessarily in the same order. Three of them face inside while rest three face outside the centre. All of them get different marks in an examination viz. 16, 18, 20, 25, 27 and 36 but not in the same order as given.

T sits second to the right of O and gets the marks which is a cube of a number. One person sits between T and X who faces the same direction as O. The one who gets double the marks of O is an immediate neighbour of T. L sits second to the right of R who gets 7 marks less than T. L does not get the highest marks. R and O face opposite directions. Immediate neighbours of R facing the same direction. K is not an immediate neighbour of X. The one who gets 16 marks sits second to the right of T but immediate left of the one who gets 25 marks. R doesn’t face inside

Who among the following sits second to the left of the one who gets fourth lowest marks?

Correct Answer: R

Let potently break down the given information step-by-step to determine the seating arrangement, directions faced, and marks obtained by each person.

Step 1: Determine the marks obtained by each person

1. The available marks are 16, 18, 20, 25, 27, and 36.
2. "T gets the marks which is a cube of a number." The only perfect cube in the set is 27 (since $3^3=27$). Thus, T gets 27 marks.
3. "R gets 7 marks less than T." Thus, R gets $27-7=20$ marks.
4. "The one who gets double the marks of O is an immediate neighbour of T." The only mark in the set that is half of another available mark is 18 (since $18\times 2=36$). Therefore, O gets 18 marks, and the person with 36 marks sits adjacent to T.
5. Arranging all the marks from lowest to highest:
• 1st lowest = 16
• 2nd lowest = 18 (O)
• 3rd lowest = 20 (R)
• 4th lowest = 25
• 5th lowest = 27 (T)
• 6th lowest = 36
The person with the fourth lowest marks has 25 marks.

Step 2: Determine directions and positions

1. "R doesn’t face inside" ⇒ R faces Outside.
2. "R and O face opposite directions" ⇒ O faces Inside.
3. Three persons face Inside and three face Outside.
4. Let 6 positions around the circle be numbered 1 to 6 in a clockwise direction.
5. Place O (facing Inside) at Position 1.
6. "T sits second to the right of O." Since O faces Inside, right is clockwise. T is placed at Position 3.
7. "One person sits between T and X who faces the same direction as O." Since X faces Inside, X must be at Position 5.
8. "The one who gets 16 marks sits second to the right of T but immediate left of the one who gets 25 marks."
• T must face Inside so that second to its right is Position 5 (X). Thus, X gets 16 marks.
• Since X (at Position 5) faces Inside, its immediate left is Position 4. Therefore, the person at Position 4 gets 25 marks.
9. Currently, O (Pos 1), T (Pos 3), and X (Pos 5) face Inside. Hence, the remaining positions (Pos 2, Pos 4, Pos 6) must face Outside.

Step 3: Place remaining persons (K, L, R)

1. "K is not an immediate neighbour of X." Since X is at Position 5, K cannot be at Position 4 or 6. Thus, K is placed at Position 2 (and gets 36 marks).
2. Since Position 4 has 25 marks and R has 20 marks, R cannot be at Position 4. Thus, R is at Position 6, and L is at Position 4 (with 25 marks).
3. "L sits second to the right of R." R (at Position 6) faces Outside, so second to its right (counter-clockwise) is Position 4 (L), which matches the arrangement.

Final Arrangement Table:

• Position 1: O (18 marks, facing Inside)
• Position 2: K (36 marks, facing Outside)
• Position 3: T (27 marks, facing Inside)
• Position 4: L (25 marks, facing Outside)
• Position 5: X (16 marks, facing Inside)
• Position 6: R (20 marks, facing Outside)

Conclusion:

The person who gets the fourth lowest marks is L (25 marks), located at Position 4.
Since L faces Outside, left is in the clockwise direction. Second to the left of L is Position 6, which is occupied by R.