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. No X is S.
II. All J are X
Conclusions:
I. Some S are not X.
II. Some J are not S.
III. Some J are not X.

Option 1: Both conclusions I and III follow

Option 2: Both conclusions I and II follow

Option 3: Neither conclusion follows

Option 4: Only conclusion I follows


Team Careers360 2nd Jan, 2024
Answer (1)
Team Careers360 18th Jan, 2024

Correct Answer: Both conclusions I and II follow


Solution : The possible Venn diagram according to the given statements is as follows –

Let's analyse the conclusions –
Conclusion (I): Some S are not X – From the Venn diagram, it is evident that no X is S as a cross sign between them defines the relation of not. Therefore, some S are not X is a true conclusion.
Conclusion (II): Some J are not S – From the Venn diagram, it is evident that no X is S as a cross sign between them defines the relation of not and the circle of J is completely overlapped by the circle of X. Therefore, some J are not S is a true conclusion.
Conclusion (III): Some J are not X – From the Venn diagram, it is evident that the circle of J is completely overlapped by the circle of X. Therefore, this conclusion is false.

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

Know More About

Related Questions

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
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