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 relationships is/are not true?
(A). Most probable velocity = $\sqrt{\frac{2RT}{M}}$
(B). PV = $\frac{3}{2}kT$
(C). Compressibility factor Z = $\frac{pV}{nRT}$
(D). Average kinetic energy of gas = $\frac{1}{2}kT$
Choose the correct answer from the options given below - Match List-I with List-II
List-I List-II Electronic Configuration First Ionisation energy (kJ mol$^{-1}$) (A). ns$^2$ (I). 2100 (B). ns$^2$np$^1$ (II). 1400 (C). ns$^2$np$^3$ (III). 800 (D). ns$^2$np$^6$ (IV). 900
Choose the correct answer from the options given below: - The shielding constant of a 2p electron (calculated using Slater's rules) is
- Match List-I with List-II
List-I List-II Spectroscopy Property (A). Raman (I). Polarizability (B). FTIR (II). Dipole Moment (C). UV-Visible (III). Absorbance (D). NMR (IV). Spin
Choose the correct answer from the options given below: - The structure of protein comprises of:
(A). Primary structure of protein is associated with amino acids
(B). Secondary structure of protein is associated to peptides
(C). Tertiary structure of protein is associated with polypeptide chains
(D). Quaternary structure of protein is associated with polypeptide chains
Choose the correct answer from the options given below:
