Concept:This is a data sufficiency seating arrangement puzzle. We need to fix the row positions using the given statements and check which statement or combination gives a unique arrangement.
Explanation:Number the positions in each row as
1 to
4 from left to right. Row 1 faces south and Row 2 faces north.
From Statement I alone:
A is at position
2 or
3. Using the condition that the one facing
A is immediately right of
P, and
Q is not adjacent to
R, we get Row 1 as
R,S,P,Q.
So
A is at position
2 and
B is at position
4. But
C and
D can occupy positions
1 and
3 in either order. Hence, Statement I alone is not sufficient.
Statement II alone only fixes
B at position
4 and
S at position
2. It does not give a unique arrangement. Hence, it is not sufficient alone.
Statement III alone also does not fix all positions. Hence, it is not sufficient alone.
Combining Statements I and III: From I, Row 1 is
R,S,P,Q, and
A is at
2,
B is at
4, with
C and
D at
1 and
3.
From III, one person sits between the one facing
C and
R. Since
R is at position
1, the one facing
C cannot be at position
1. So
C must be at position
3, and
D is at position
1.
Now
Q is at position
4 and faces
B at position
4. The person immediately left of
B is
C.
Answer:C is sitting immediately left of the person facing
Q. Therefore, both Statements I and III together are sufficient, i.e., Option B.