Correct option is B

Final Arrangement:

Clues: Three persons sit between C and E. A is an immediate neighbour of C. Both the immediate neighbours of E face inside. D is neither an immediate neighbour of E nor C.
Inference: Here we get two possible cases:

Clues: G sits third to the left of D. G doesn’t face inside. Both the immediate neighbours of F face outside. F is not an immediate neighbour of D.
Inference: Above clues are placed in both cases:

Clues: H doesn’t face in the same direction as G. Immediate neighbours of G face opposite direction to each other.
Inference: Case 2 gets cancelled here because it is given that only three persons face inside.

Inference: Only place for B is left. Now, the final Arrangement is:

Fifth to the right

Correct option is D

Final Arrangement:

Clues: Three persons sit between C and E. A is an immediate neighbour of C. Both the immediate neighbours of E face inside. D is neither an immediate neighbour of E nor C.
Inference: Here we get two possible cases:

Clues: G sits third to the left of D. G doesn’t face inside. Both the immediate neighbours of F face outside. F is not an immediate neighbour of D.
Inference: Above clues are placed in both cases:

Clues: H doesn’t face in the same direction as G. Immediate neighbours of G face opposite direction to each other.
Inference: Case 2 gets cancelled here because it is given that only three persons face inside.
Inference: Only place for B is left. Now, the final Arrangement is:
Four

Correct option is A

Final Arrangement:

Clues: Three persons sit between C and E. A is an immediate neighbour of C. Both the immediate neighbours of E face inside. D is neither an immediate neighbour of E nor C.
Inference: Here we get two possible cases:

Clues: G sits third to the left of D. G doesn’t face inside. Both the immediate neighbours of F face outside. F is not an immediate neighbour of D.
Inference: Above clues are placed in both cases:

Clues: H doesn’t face in the same direction as G. Immediate neighbours of G face opposite direction to each other.
Inference: Case 2 gets cancelled here because it is given that only three persons face inside.
Inference: Only place for B is left. Now, the final Arrangement is: Except F-C, both the persons in all the other options face the opposite direction to each other.

Correct option is D

Final Arrangement:

Clues: Three persons sit between C and E. A is an immediate neighbour of C. Both the immediate neighbours of E face inside. D is neither an immediate neighbour of E nor C.
Inference: Here we get two possible cases:

Clues: G sits third to the left of D. G doesn’t face inside. Both the immediate neighbours of F face outside. F is not an immediate neighbour of D.
Inference: Above clues are placed in both cases:

Clues: H doesn’t face in the same direction as G. Immediate neighbours of G face opposite direction to each other.
Inference: Case 2 gets cancelled here because it is given that only three persons face inside.
Inference: Only place for B is left. Now, the final Arrangement is: Both I and III

Correct option is C

Final Arrangement:

Clues: Three persons sit between C and E. A is an immediate neighbour of C. Both the immediate neighbours of E face inside. D is neither an immediate neighbour of E nor C.
Inference: Here we get two possible cases:

Clues: G sits third to the left of D. G doesn’t face inside. Both the immediate neighbours of F face outside. F is not an immediate neighbour of D.
Inference: Above clues are placed in both cases:

Clues: H doesn’t face in the same direction as G. Immediate neighbours of G face opposite direction to each other.
Inference: Case 2 gets cancelled here because it is given that only three persons face inside.
Inference: Only place for B is left. Now, the final Arrangement is: “D sits second to the left of E” is the true statement.