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:
All F is K.
All W is K.
Conclusions:
I. All W is F.
II. Some K is not W.
III. Some F is W.
Option 1: Both conclusions I and III follow
Option 2: Both conclusions II and III follow
Option 3: Only conclusion I follows
Option 4: Neither conclusion follows
Correct Answer: Neither conclusion follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
All W is F –
From the Venn diagram, it is evident that there is no direct relation between W and F. So, no definite relation can be drawn. Therefore, this conclusion does not follow.
Conclusion (II):
Some K is not W –
It is a possibility that the circle representing K is completely overlapped by the circle that represents W. But, this is not definite. So, this conclusion does not follow.
Conclusion (III):
Some F is W –
From the Venn diagram, it is evident that there is no direct relation between F and W. So, no definite relation can be drawn. Therefore, this conclusion does not follow.
So, none of the conclusions follow. Hence, the fourth option is correct.
SSC CGL Complete Guide
Candidates can download this ebook to know all about SSC CGL.
