Question : Directions: In this question, three statements are given followed by three conclusions I, II and III. You have to consider the three 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 conclusion(s) logically follow(s) from the given statements.
Statements:
Some bricks are metals.
All metals are shiny.
No shiny thing can float.
Conclusions:
(I) Some metals can float.
(II) No brick can float.
(III) Some bricks are shiny.
Option 1: All conclusions I, II, and III follow
Option 2: Only conclusion III follows
Option 3: None of the conclusions follows
Option 4: Only conclusion II follows
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Correct Answer: Only conclusion III follows
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some metals can float – From the Venn diagram, it is evident that all the metals are shiny and no shiny thing can float. So, from this, it can be concluded that no metal can float. Thus, this conclusion doesn't follow.
Conclusion (II):
No brick can float – From the Venn diagram, it is evident that there is no direct relation between bricks and float. So, no definite relation can be drawn. Thus, this conclusion does not follow.
Conclusion (III):
Some bricks are shiny – From the Venn diagram, it is evident that the circles representing bricks and shiny overlap and have some parts of their area in common. Thus, it can be concluded that some bricks are shiny. Thus, this conclusion follows.
So, only conclusion III follows. Hence, the second option is correct.
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