Three statements are given followed by three conclusions. 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:
Some computers are phones.
All phones are calculators.
All calculators are i-pads.
Conclusions:
1. Some iPads are computers.
2. All calculators are phones.
3. Some iPads are phones.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. Only conclusions 1 and 3 follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some iPads are computers → True (As some computers are phones, all phones are calculators, and all calculators are iPads, so, some iPads are computers is also true.)
II. All calculators are phones → False (It is possible, but no definite conclusion can be drawn.)
II. Some iPads are phones → True (As all phones are calculators, and all calculators are iPads, so, some iPads are phones is also true.)