In the questions given below, two statements are given followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read the conclusion and then decide which of the given conclusions logically follows from the two given statement, disregarding commonly known facts : Statement : All windows are doors. No door is wall. Conclusions : I. No window is wall II. No wall is door
Statements Logic
We are given two statements:
- Statement 1: All windows are doors.
- Statement 2: No door is wall.
Let's analyze the relationships:
- From Statement 1, the set of 'windows' is entirely contained within the set of 'doors'. We can represent this as: $ \text{Windows} \subseteq \text{Doors} $.
- From Statement 2, the set of 'doors' and the set of 'walls' are completely separate; they have no members in common. We represent this as: $ \text{Doors} \cap \text{Walls} = \emptyset $.
Conclusion I Analysis
Conclusion I: No window is wall.
Since every 'window' is a 'door' (Statement 1), and no 'door' is a 'wall' (Statement 2), it must be true that no 'window' can be a 'wall'. If something belongs to the 'window' category, it automatically belongs to the 'door' category, which excludes it from the 'wall' category.
Therefore, Conclusion I logically follows. $ \text{Windows} \cap \text{Walls} = \emptyset $.
Conclusion II Analysis
Conclusion II: No wall is door.
Statement 2 states, "No door is wall." This is a universal negative statement (an E-type proposition). Universal negative statements are symmetrical. This means if "No A is B" is true, then "No B is A" must also be true.
Applying this, since "No door is wall" is true, its symmetrical form "No wall is door" must also be true.
Therefore, Conclusion II logically follows directly from Statement 2.
Final Logical Deduction
Both Conclusion I and Conclusion II are logically derived from the given statements.
Thus, Both conclusion I and II follow.
Important Questions from Miscellaneous
- Which of the following scheduler/schedulers is/are also called CPU scheduler ?
(A). Short Term Scheduler
(B). Long Term Scheduler
(C). Medium Term Scheduler
(D). Asymmetric Scheduler
Choose the correct answer from the options given below: - A situation where two or more processes are blocked, waiting for resources held by each other is called:
- External fragmentation occurs ________.
- Which disk scheduling algorithm looks for the track closest to the current head position?
- Which CPU scheduling algorithm prefers the process with the shortest burst time?
