Question : Directions: Read the given statements 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 statements.
Statements:
All blue are dogs.
No dog is silver.
All pink are dogs.
Conclusions:
(I) Some pink are silver.
(II) No blue is pink is a possibility.
(III) Some blue are silver.
Option 1: Both conclusions II and III follow
Option 2: Only conclusion III follows
Option 3: Only conclusion II follows
Option 4: Both conclusions I and II follow
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Correct Answer: Only conclusion II follows
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some pink are silver
– From the given statements,
no dog is silver, and all pink are dogs. Therefore, no pink is silver. So, this conclusion doesn't follow.
Conclusion (II):
No blue is pink is a possibility
– Since all blue are dogs and all pink are dogs, there is no relation between blue and pink. So, there is a possibility that some blue is pink and some are not.
So, this conclusion follows.
Conclusion (III):
Some blue are silver
– From the given statements,
all blue are dogs, and no dog is silver. Therefore, no blue is silver. So, this conclusion doesn't follow.
So, only conclusion II follows. Hence, the third option is correct.
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