Question : Directions: Three statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if by seem to be a variance from commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
I. Some towels are bright.
II. Some bright are shiny.
III. All shiny are little.
Conclusions:
I. Some little are shiny.
II. Some little are bright.
Option 1: Only conclusion I follows
Option 2: Neither conclusion I nor II follows
Option 3: Only conclusion II follows
Option 4: Both conclusions I and II follow
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Correct Answer: Both 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 little are shiny – From the Venn diagram, it is evident that some parts of the circle representing little lie inside the circle representing shiny while some lie outside. So, this conclusion follows.
Conclusion (II):
Some little are bright – From the Venn diagram, we can see that the two circles representing little and bright overlap and have a part of their area in common. So, this conclusion follows.
So, both conclusions I and II follow. Hence, the fourth option is correct.
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