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Statements: F ≤ X < A, R < X ≤ F Conclusions: I. F ≤ E II. R < F

Q: Statements: F ≤ X < A, R < X ≤ F Conclusions: I. F ≤ E II. R < F

Split them as F ≤ X ...(i) X < A ...(ii) R < X ...(ii) and X ≤ E ...(iv) Combining (i) and (iv) we get F ≤ X ≤ F or F ≤ E. Hence I follow. From (i) and (iii) R and F can't be compared. Hence II does not follow.

If only conclusion I follows
If only conclusion I follows
If either conclusion I or II follows
If neither conclusion I nor II follows

Correct Answer: If only conclusion I follows

Explanation:

Split them as F ≤ X ...(i) X < A ...(ii)
R < X ...(ii) and X ≤ E ...(iv)
Combining (i) and (iv) we get
F ≤ X ≤ F or F ≤ E.
Hence I follow.
From (i) and (iii) R and F can't be compared. Hence II does not follow.

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