In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements.
Statement I: Some buttons are switches
Statement II: All buttons are connectors
Conclusion I: Some switches are connectors
Conclusion II: Some connectors are buttons
- AOnly conclusion I follows
- BOnly conclusion II follows
- CBoth conclusions I and II follow
- DNeither conclusion I nor conclusion II follows
Solution & Step-by-step Explanation
Let us evaluate the connections using standard Venn relationships:
From Statement II, "All buttons are connectors", it naturally implies that the set of buttons is fully enclosed within connectors. Hence, the intersecting part must exist, meaning Some connectors are buttons. Thus, Conclusion II is definitely true.
From Statement I, "Some buttons are switches", there is an overlap between buttons and switches. Since all buttons reside inside connectors, that overlapping region of buttons and switches also belongs to connectors. Consequently, Some switches are connectors. Thus, Conclusion I is also true.
Therefore, both conclusions I and II follow.
From Statement II, "All buttons are connectors", it naturally implies that the set of buttons is fully enclosed within connectors. Hence, the intersecting part must exist, meaning Some connectors are buttons. Thus, Conclusion II is definitely true.
From Statement I, "Some buttons are switches", there is an overlap between buttons and switches. Since all buttons reside inside connectors, that overlapping region of buttons and switches also belongs to connectors. Consequently, Some switches are connectors. Thus, Conclusion I is also true.
Therefore, both conclusions I and II follow.