In the question two statements are given, followed by three conclusions, I, II and III. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements.Statement 1 : All tigers are cats.Statement 2 : All cats are felines.Conclusion I : Some felines are tigers.Conclusion II : All tigers are felines.Conclusion III : Some felines are cats.
- AOnly conclusion III follows
- BAll conclusions I, II and III follows
- COnly conclusion I and III follows
- DOnly conclusion I follows
Solution & Step-by-step Explanation
Let's analyze using set containment relationships: All tigers are cats () All cats are felines () From these statements, we get the nested relation: . Now let's check the conclusions: Conclusion I (Some felines are tigers): Since all tigers are inside felines, the region of felines that contains tigers means some felines are definitely tigers. This follows.Conclusion II (All tigers are felines): Since and , it directly follows that . This follows.Conclusion III (Some felines are cats): Since all cats are felines, the portion of felines overlapping with cats means some felines are cats. This follows.Therefore, all conclusions I, II, and III follow.