Seven letters ndash A E F G I L and R are placed in a stright row from left to right such that no m...........

Logical Reasoning(Master ) Data Sufficiency

Seven letters – A, E, F, G, I, L and R are placed in a stright row from left to right such that no meaningful english word is formed. Find the position of L with respect to F?

Statement I : A is third to the left of G, who is placed exactly in the middle of the word. L is adjacent to A. I is second to the right of F but not adjacent to G.

Statement II : R is to the immediate left of I. F is second to the right of A, which is placed at an extreme left end. L is not placed after G, which is placed exactly in the middle of the row.

If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.

If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.

If the data either in statement I alone or in statement II alone is sufficient to answer the question.

If the data in both statement I and II together are not sufficient to answer the question.

If the data in both statement I and II together are necessary to answer the question.

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Explanation:

Statement I: A is third to the left of G, who is placed exactly in the middle of the word. L is adjacent to A. I is second to the right of F but not adjacent to G.
Statement II: R is to the immediate left of I. F is second to the right of A, which is placed at an extreme left end. L is not placed after G, which is placed exactly in the middle of the row.
Checking statement I:
As per the given hints, following positions can be drawn.
A L _ G F _ I
Clearly, L is third to the left of F.
Hence data in statement I alone is sufficient to answer the question.
Checking statement II:
Following position can be drawn with the hints given in statement II. A L F G _ _ _
Clearly, L is on the immediate left of F.
Hence data in statement II alone is sufficient to answer the question.
Hence data in either statement I alone or statement II alone is sufficient to answer the question.