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 right of the one who gets 25 marks?
Correct Answer :
K
Solution :
The correct option is K.
Step-by-Step Explanation:
1. Understanding the Given Data:
- Total persons: 6 (K, L, O, R, T, X)
- Seating arrangement: Circular table
- Facing direction: 3 face inside, 3 face outside
- Marks obtained: 16, 18, 20, 25, 27, 36
2. Deductive Reasoning for Marks:
- T gets marks which is a perfect cube. Among the given numbers (16, 18, 20, 25, 27, 36), the only perfect cube is 27.
3. Seating and Directions Analysis:
- R faces outside ("R doesn't face inside").
- R and O face opposite directions, so O faces inside.
- T sits 2nd to the right of O (who faces inside).
- One person sits between T and X, and X faces the same direction as O (inside).
- The one who gets 16 marks sits 2nd to the right of T. Since T is an immediate neighbour of the one who gets 36 marks, and L sits 2nd to the right of R.
- R's immediate neighbours face the same direction.
- K is not an immediate neighbour of X.
- Placing the individuals around the circle (positions 1 to 6 clockwise):
- Let O be at position 1 (facing inside).
- T sits 2nd to the right of O, placing T at position 3.
- One person sits between T and X. X can be at position 1 (already O) or position 5. So X is at position 5 (facing inside).
- K is not an immediate neighbour of X (pos 5), so K cannot be at pos 4 or pos 6. Thus, K must be at position 2.
- Now, positions remaining for L and R are 4 and 6.
- L sits 2nd to the right of R. Since R faces outside:
- If R is at position 6 (facing outside), 2nd to the right of R (counter-clockwise) is position 4. So L is at position 4.
- The arrangement of persons clockwise (1 to 6) is: O, K, T, L, X, R.
- Directions:
- O (Inside), X (Inside), R (Outside).
- To have 3 facing inside and 3 facing outside, the remaining directions follow the condition that R's immediate neighbours (O at 1 and X at 5) both face inside.
- The person with 16 marks is 2nd to the right of T. Position 1 (O) is 2nd to T's right if T faces outside (placing pos 1 as 2nd right). So T faces outside, which means O (pos 1) gets 16 marks? Wait, O gets 18 marks, so pos 5 (X) gets 16 marks, meaning T faces inside (2nd right is pos 5).
- The 16 marks holder (X at pos 5) is to the immediate left of the one with 25 marks. Since X faces inside, immediate left of X is position 4 (L). Thus, L gets 25 marks.
- The person who gets 25 marks is L at position 4.
- We need to find who sits 2nd to the right of the one who gets 25 marks (L).
- Since 3 face inside (O, X, T) and 3 face outside (R, L, K), L faces outside.
- 2nd to the right of L (facing outside) moving counter-clockwise is position 2, which is occupied by K.
Therefore, K sits second to the right of the person who gets 25 marks.
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