In each of the following questions, two statements are given followed by two/four conclusions I, II, III and IV. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.
 Statements :
(a) All buses are houses.
(b) Some houses are lakes.
Conclusions :
  I. Some buses are lakes.
II. Some lakes are buses.
III. Some lakes are houses.
  IV. Some houses are buses. 

Options

A. All Conclusions follow.
B. Only Conclusions II and III follow.
C. Only Conclusions I and II follow.
D. Only Conclusions III and IV follow.

Answer

A

Explanation

(i) All pens are papers `rarr`  Universal Affirmative (A-type).
(ii) Some houses are lakes `rarr` Particular Affirmative (I-type).
  (iii) No eraser is paper `rarr` Universal Negative (E-type). 
(iv) Some erasers are not papers `rarr` Particular Negative (O-type).

`A+I rArr` No Conclusion
Conclusion III is Converse of the second Premise.
Conclusion IV is Converse of the first Premise.