Three statements are given, followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
No keys are phones.
All keys are clips.
Some keys are tables.
Conclusions:
I. Some clips are not phones.
II. Some tables are not phones.
III. Some clips are tables.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. All conclusions follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
1. Some clips are not phones → True (As no keys are phones, and all keys are clips, so, some clips are not phones is true.)
2. Some tables are not phones → True (As some keys are tables, and no keys are phones, so, some tables are not phones is also true.)
3. Some clips are tables → True (As some keys are tables, and all keys are clips, so, some clips are tables is also true.)