Question : Directions: Given below are two statements and two conclusions. Take the statements to be true even if they are at variance with commonly known facts, and decide whether the conclusion(s) follow(s) the given statements.
Statements:
All irons are coppers.
All coppers are aluminiums.
Conclusions:
I. Some aluminum are irons.
II. Some aluminum are coppers.
Option 1: Only conclusion II follows
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion I follows
Option 4: Both conclusions follow
Correct Answer: Both conclusions follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some aluminiums are irons – From the Venn diagram, it is evident that some parts of the circle representing aluminiums lie inside the circle representing irons while some lie outside. Thus, it can be concluded that some aluminiums are irons.
Conclusion (II):
Some aluminiums are coppers – From the Venn diagram, it is evident that some parts of the circle representing aluminiums lie inside the circle representing coppers while some lie outside. Thus, it can be concluded that some aluminiums are coppers.
So, both conclusions follow. Hence, the fourth option is correct.
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