Concept:This is a linear seating arrangement puzzle where we must test whether Statement I alone, Statement II alone, or both together give the definite position of the person to the immediate left of E.
Explanation:Let the six positions be numbered
1 to
6 from left to right, all facing north.
Statement I alone:B sits fourth to the right of C, so if C is at position
1, then B is at position
5.
If C were at position
2, B would be at
6, and with one person between C and F, F would be at
4; then D, third to the right of F, would be at
7, which is impossible.
Thus C=
1, F=
3, B=
5, and D=
6.
A and E can occupy positions
2 and
4 in either order.
So the immediate left of E could be either C or F.
Therefore, Statement I alone is not sufficient.
Statement II alone:C sits at the extreme left end, so C=
1.
Only two people sit between C and E, so E=
4.
A sits fourth to the left of D; this is possible only when D=
6 and A=
2.
Positions
3 and
5 are left for B and F in any order.
The immediate left of E is position
3, which could be B or F.
Therefore, Statement II alone is not sufficient.
Combining Statements I and II:From Statement II, we fix C=
1, A=
2, E=
4, and D=
6.
From Statement I, B sits fourth to the right of C, so B=
5.
The only remaining person, F, must occupy position
3.
Thus F sits immediately to the left of E.
So both statements together are needed to answer the question.
Answer:The data in both Statements I and II put together (and not independently) are sufficient to answer the question.
Correct option: A.