Six family members Pankaj, Gopi, Chetan, Dinesh, Akash and Vyom are standing around a circular table facing the centre. Gopi is between Vyom and Chetan. Pankaj is between Akash and Dinesh. Vyom stands immediately to the right of Dinesh. Based on this arrangement, who is standing directly opposite to Dinesh?

Introduction / Context:
This circular arrangement question asks you to place six family members around a table based on relative-position clues and then determine who is directly opposite a specified person. Such problems test spatial reasoning and your ability to combine multiple relational statements consistently.

Given Data / Assumptions:

• Members: Pankaj (P), Gopi (G), Chetan (C), Dinesh (D), Akash (A) and Vyom (V).
• All stand around a circular table facing the centre.
• Gopi is between Vyom and Chetan (so G's neighbours are V and C in some order).
• Pankaj is between Akash and Dinesh (P's neighbours are A and D in some order).
• Vyom is immediately to the right of Dinesh.
• We must find who stands directly opposite Dinesh.

Concept / Approach:
In a circle of six people, sitting opposite means being exactly three positions away. We use the “immediately to the right” information to fix a base orientation, then place the remaining members using the “between” conditions without violating the circular ordering.

Step-by-Step Solution:
Step 1: Place Dinesh at some reference position in the circle. Since everyone faces the centre, we can place D at the top for convenience. Step 2: Vyom is immediately to the right of Dinesh. Facing the centre, the right side is clockwise. So place V immediately clockwise next to D. Step 3: Gopi is between Vyom and Chetan. That means G must have V on one side and C on the other. Since V already has D on its left (counter-clockwise) and an empty seat on its right (clockwise), the only way for G to be between V and C is to place G on the other side of V, and then place C next to G. Step 4: This gives a partial clockwise order: D → V → G → C. Step 5: Now consider Pankaj's condition: Pankaj is between Akash and Dinesh. So P must have A and D as his immediate neighbours. Step 6: Around D there are two neighbouring positions: one already occupied by V and one unoccupied on the other side. For P to be between A and D, P must occupy the remaining neighbour seat of D, and A must then be adjacent to P on the opposite side. Step 7: This completes the circle in clockwise order as A → P → D → V → G → C → back to A. Step 8: In a circle of six, the person directly opposite D is three positions away. Counting three steps clockwise from D: D(0), V(1), G(2), C(3). Thus, Chetan is directly opposite Dinesh.
Verification / Alternative check:
We can also count counter-clockwise: from D to P (1), to A (2), to C (3). We again reach Chetan as the member opposite Dinesh. Both directions give the same result, confirming the arrangement is consistent and unique under the given constraints.

Why Other Options Are Wrong:
Pankaj: He sits adjacent to Dinesh, not opposite. Vyom: He is immediately to the right of Dinesh, again adjacent but not opposite. Gopi: Gopi is two positions away from D in either direction, not three. Akash: Akash sits next to Pankaj and is two steps away from D, so cannot be opposite.
Common Pitfalls:
A common mistake is reversing left and right when everyone faces the centre, or placing the “between” persons incorrectly with more than one person on each side. Drawing a simple labelled circle and placing members step by step greatly reduces confusion and prevents misinterpretations of “between” and “immediately to the right”.

Final Answer:
Therefore, the family member standing opposite Dinesh is Chetan.