Question : Directions: In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows the given statements.
Statements:
I. Some pencils are paper.
II. No book is paper.
Conclusions:
I. Some pencils are not books.
II. All books are pencils.
III. Some papers are pencil.
Option 1: Both conclusions I and III follow
Option 2: Only conclusion II follows
Option 3: All conclusion follows
Option 4: Both conclusions II and III follow
Correct Answer: Both conclusions I and III follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some pencils are not books – From the Venn diagram, we can see that there is a portion of pencils within the paper that cannot be books since all papers are not books. So, this conclusion follows.
Conclusion (II):
All books are pencil – It is a possibility that the circle representing books is completely overlapped by the circle representing pencil. But this is not definite. So, this conclusion does not follow.
Conclusion (III):
Some papers are pencil – From the Venn diagram, we can see that the two circles representing paper and pencil overlap and have a part of their area in common. So, this conclusion follows.
So, only conclusions I and III follow. Hence, the first option is correct.
Related Questions
Know More about
Staff Selection Commission Multi Tasking ...
Answer Key | Cutoff | Selection Process | Preparation Tips | Eligibility | Application | Exam Pattern
Get Updates Brochure
Your Staff Selection Commission Multi Tasking Staff Exam brochure has been successfully mailed to your registered email id “”.
