Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
1. All doors are teachers.
2. All teachers are cups.
Conclusions:
I. All cups are doors.
II. All doors are cups.
III. All teachers are doors.
IV. Some cups are teachers.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e Only conclusions II and IV follow.
| Understanding |
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The least possible Venn Diagram for the given statements is drawn below:
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Conclusions: I. All cups are doors. From the basic diagram, all cups are not doors. Hence, the conclusion I do not follow. II. All doors are cups. From the basic diagram, all doors are cups. Hence, conclusion II follows. III. All teachers are doors. From the basic diagram, all teachers are not doors. Hence, conclusion III does not follow. IV. Some cups are teachers. From the basic diagram, some cups are teachers. Hence, conclusion IV follows. From the basic diagram, Only conclusions II and IV follow. |
