Question : Directions: Read the given statement(s) 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 statement(s).
Statements:
Some pencils are rods.
No rod is a door.
All balls are rods.
Conclusions:
I. Some pencils being balls is a possibility.
II. No ball is a door.
III. All rods are balls.
IV. No pencil is a door.
Option 1: Only conclusions I, II, and IV follow
Option 2: Only conclusions I and II follow
Option 3: Only conclusion I follows
Option 4: Only conclusions II and III follow
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: Only 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 pencils being balls is a possibility – It is a possibility that the two circles representing pencils and balls overlap. But, this is not definite. So, this conclusion follows.
Conclusion (II):
No ball is a door – Since all balls are rods, and no rod is a door. So, it can be concluded that no ball is a door.
Conclusion (III):
All rods are balls – From the Venn diagram, it is evident that some parts of the circle representing rods lie outside the circles representing balls while some lie inside. So, this conclusion does not follow.
Conclusion (IV):
No pencil is a door – From the Venn diagram, it is evident that there is no direct relation between pencil and door. So, no definite relation can be drawn. Therefore, this conclusion does not follow.
So, the only conclusions I and II follow. Hence, the second option is correct.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Admit Card | Eligibility | Application | Selection Process | Preparation Tips | Result | Answer Key
Get Updates BrochureYour Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.