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

What is the difference between the marks got by X and O?

The correct option is 2.

Step-by-step Explanation:

1. Analyze the given information and values:
- Total persons = 6 (T, O, X, L, R, K).
- Directions: 3 persons face Inside, 3 persons face Outside.
- Marks: 16, 18, 20, 25, 27, 36.
- T gets marks which is a cube of a number. The only cube among the given marks is 27 (since $3^3=27$). So, T = 27.
- R gets 7 marks less than T. Therefore, R = 27 - 7 = 20. So, R = 20.

2. Determine seating positions and marks:
- R doesn't face inside, so R faces Outside.
- L sits second to the right of R.
- L does not get the highest marks (so L ≠ 36).
- R and O face opposite directions. Since R faces Outside, O faces Inside.
- T sits second to the right of O.
- One person sits between T and X, and X faces the same direction as O (so X faces Inside).
- Immediate neighbours of R face the same direction.
- The one who gets 16 marks sits second to the right of T but immediate left of the one who gets 25 marks.
- K is not an immediate neighbour of X.
- The one who gets double the marks of O is an immediate neighbour of T. Looking at available marks (16, 18, 20, 25, 27, 36), for one mark to be double of O's marks, O must have 18 marks (since $18\times 2=36$). Thus, O = 18 and the neighbour of T gets 36 marks.

3. Assign marks to each person:
- We have marks: 16, 18, 20, 25, 27, 36.
- T = 27
- R = 20
- O = 18
- Remaining marks: 16, 25, 36 for persons X, L, K.
- Since L does not get the highest marks (36), L must be 16 or 25.
- From the seating arrangement analysis:
- X gets 16 marks.
- L gets 25 marks.
- K gets 36 marks.

4. Calculate the required difference:
- Marks of X = 16
- Marks of O = 18
- Difference between the marks got by X and O = $18-16=2$.

Thus, the difference between the marks got by X and O is 2.