1 View

Question : Directions: In the following question below, some statements are followed by some conclusions. 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 from the given statements.
Statements:
All red are pens.
No pen is white.
Conclusions:
I. No white is a pen.
II. No red is white.
III. All pens are red.

Option 1: Only I and III

Option 2: Only I and II

Option 3: Only II and III

Option 4: All conclusions follow


Team Careers360 10th Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

Correct Answer: Only I and II


Solution : The Venn diagram is as follows –

Let's analyse the conclusions –
Conclusion (I): No white is a pen – From the given statements, it is evident that no pen is white. So, from this, it can be concluded that no white is a pen. Thus, this conclusion follows.

Conclusion (II): No red is white – From the given statements, all red are pens and no pen is white. So, from this, it can be concluded that no red is white. Thus, this conclusion follows.
Conclusion (III): All pens are red – From the Venn diagram, it is evident that some part of the circle that represents pens is outside the circle that represents red. So, from this, it can be concluded that some pens are red. Thus, this conclusion does not follow.

So, only conclusions I and II follow. Hence, the second option is correct.

Exclusive Careers360 Premium Content

Get education, career guidance; live webinars; learning resources and more

Subscribe Now

Know More About

Related Questions

Manipal University Online MBA
Apply
Apply for Online MBA from Manipal University
TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
GRE ® Registrations 2024
Apply
Apply for GRE® Test now & save 10% with ApplyShop Gift Card | World's most used Admission Test for Graduate & Professional Schools
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books