Question : Directions: Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusions logically follow/s from the given statements.
Statements:
Some tables are caps.
All caps are bikes.
All bikes are pins.
Conclusion (I): Some pins are tables.
Conclusion (II): Some caps are not pins.
Option 1: Only conclusion (II) is true
Option 2: Only conclusion (I) is true
Option 3: Neither conclusion (I) nor (II) is true
Option 4: Both conclusions (I) and (II) are true
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Correct Answer: Only conclusion (I) is true
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some pins are tables – According to the Venn diagram, the circle of pins and tables intersect and have some common area between them. Therefore, some pins are tables, which is a true conclusion.
Conclusion (II):
Some caps are not pins – According to the Venn diagram there is no negative relation between caps and pins. So, this conclusion is not correct.
So, the only conclusion I is true. Hence, the second option is correct.
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