Read the following statement carefully and identify the conclusion that follows. Statement: The school library is open from 9 AM to 5 PM. Conclusions: I. Students can borrow books after 5 PM. II. The library is not accessible before 9 AM.
- (a)Only Conclusion I follows
- (b)Only Conclusion II follows
- (c)Both I and II follow
- (d)Neither I nor II follows
Answer
Why
Correct — B.
Rule: a conclusion follows only if the statement guarantees it.
Open from 9 AM to 5 PM means closed before 9 AM and after 5 PM.
I: borrowing books after 5 PM needs the library open then. It is closed, so I does not follow.
II: not accessible before 9 AM is exactly the closed window, so II follows.
II alone → option (b).
Why the others are wrong
- (a)Only Conclusion I follows — After 5 PM the library is closed, so borrowing then is ruled out, not implied. I contradicts the very hours it claims to follow from.
- (c)Both I and II follow — I fails: borrowing after 5 PM needs the library open after 5 PM, and the statement closes it at 5.
- (d)Neither I nor II follows — II does follow. Opening at 9 AM means the library is shut before 9 AM, which is exactly what II says.
Concept
Statement-conclusion items reward reading the statement literally. Opening hours of 9 AM to 5 PM tell you two things: the library is open in that window and closed outside it.
Check each conclusion against those two facts. A conclusion that contradicts them, like I, fails. One that restates them, like II, follows.
II says 'not accessible' where the statement gives opening hours. The words differ, but outside its opening hours a library is closed, so II restates the statement rather than adding to it.
Key facts
- Open from 9 AM to 5 PM means closed before 9 AM and after 5 PM.
- A conclusion must be guaranteed by the statement, not merely possible.
- A conclusion that contradicts the statement can never follow.
Study next
Common traps
- Reading the opening hours loosely and allowing borrowing after 5 PM
- Rejecting II because the statement never uses the word closed
18 Sep 2025, 12:30, Reasoning Q.12 sets a library statement too, closed on Sunday due to renovation, and keys Both I and II.
19 Sep 2025, 09:00, Reasoning Q.13 keys Only Conclusion I on crude-oil imports, rejecting II because 'All oil consumed in India is imported' goes beyond the statement.
Related PYQs
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