Question

Directions for questions 146 to 148: Answer the questions on the basis of the information given below.

Ten sports persons A, B, C, D, E, F, G, H, I and J are sitting around a circular table. Each two of them play one of the following sports: Cricket, Swimming, Athletics, Football and Tennis, not necessarily in that order. It is also known that:

• Cricketers are sitting to the immediate right of Athletes and to the immediate left of Swimmers.
• Players who play the same sport sit opposite each other.
• The Tennis player does not sit next to a Swimmer.
• G is sitting equidistant from I and D.
• B and F are Athletes.
• C and D are Cricketers.
• G is sitting three places to the right of D and two places to the left of C.
• J and I are Swimmers.
• H is sitting two places to the right of I.

If F, D and J sit together, then answer the following question.

Who are the neighbors of H?

• A. F and A
• B. F and E
• C. A and E
• D. Cannot be determined

Hint:

F must take the free Athlete seat next to the D-J block, but the two Football players A and E can still swap between the two remaining seats.

Answer 1

The Correct Option is D

Step 1: Recall the fixed part of the arrangement.
Numbering the ten chairs 1 to 10 clockwise, the base deductions (shown fully in question 146) place D at chair 1, J at chair 2, G at chair 4, C at chair 6, I at chair 7 and H at chair 9. B and F occupy chairs 5 and 10 in some order, and A and E occupy chairs 3 and 8 in some order, with G and H playing Tennis and A, E playing Football.

Step 2: Apply the condition "F, D and J sit together".
D is at chair 1 and J is at chair 2, so D and J are already next-door neighbors. For F to sit together with this pair, F must occupy the chair on the free side of the block, either chair 10 (next to D) or chair 3 (next to J), so that D, J and F form three consecutive chairs.
F is one of the two Athletes, who only sit at chairs 5 or 10. Chair 3 is not an Athlete's chair, so F cannot go there. That leaves chair 10 as the only option that satisfies both "F is an Athlete" and "F sits together with D and J".
So F sits at chair 10, and B, the other Athlete, sits at chair 5.

Step 3: Read off the neighbors of H.
H is at chair 9. Its immediate neighbors are chair 8 and chair 10. Chair 10 is F, confirmed in Step 2. Chair 8 belongs to the Football pair (A and E), but the arrangement gives no clue that fixes whether A or E specifically sits at chair 8 versus chair 3, both placements are equally valid with everything given.

Step 4: Final Answer.
One neighbor of H is definitely F, but the other neighbor is A or E without any way to pin down which, so the identity of both neighbors together cannot be fixed with certainty.
\[ \boxed{\text{Cannot be determined}} \]