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:
Some laptops are computers.
No computer is a robot.
Some robots are humans.
Conclusions:
(I) All humans can never be computers.
(II) Some robots are laptops.
- AOnly conclusion II follows
- BOnly conclusion I follows
- CBoth conclusions I and II follow
- DNone of the conclusions follow
Solution & Step-by-step Explanation
Let's analyze the statements using Venn logic:
"Some laptops are computers" means there is an overlap between Laptops and Computers.
"No computer is a robot" means the sets of Computers and Robots are completely disjoint.
"Some robots are humans" means there is an overlapping area containing elements that belong to both Robots and Humans.
Now let's test the conclusions:
Conclusion I: "All humans can never be computers."
Those humans who are also part of the "robots" set can never overlap or enter the "computers" set because No computer is a robot.
Since there is a definite intersection between humans and robots, that specific part of humans can never be computers. Thus, it is impossible for all humans to be computers. Hence, Conclusion I is definitely true and follows.
Conclusion II: "Some robots are laptops."
There is no direct connection mentioned between robots and laptops. They might or might not overlap. Since it is not a certain fact, Conclusion II does not follow.
Therefore, only conclusion I follows.
"Some laptops are computers" means there is an overlap between Laptops and Computers.
"No computer is a robot" means the sets of Computers and Robots are completely disjoint.
"Some robots are humans" means there is an overlapping area containing elements that belong to both Robots and Humans.
Now let's test the conclusions:
Conclusion I: "All humans can never be computers."
Those humans who are also part of the "robots" set can never overlap or enter the "computers" set because No computer is a robot.
Since there is a definite intersection between humans and robots, that specific part of humans can never be computers. Thus, it is impossible for all humans to be computers. Hence, Conclusion I is definitely true and follows.
Conclusion II: "Some robots are laptops."
There is no direct connection mentioned between robots and laptops. They might or might not overlap. Since it is not a certain fact, Conclusion II does not follow.
Therefore, only conclusion I follows.