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:
Some pencils are cartoons.
All cartoons are rivers.
All rivers are shadows.
Conclusions:
(I) All pencils are shadows.
(II) All cartoons are shadows.
(III) Some shadows are pencils.
Option 1: Both conclusions II and III follow
Option 2: Both conclusions I and II follow
Option 3: Only conclusion III follows
Option 4: Only conclusion II follows
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Correct Answer: Both conclusions II and III follow
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion I:
All pencils are shadows – From the above diagram, we can see that the circle of pencils and shadows intersect and have some common area between them. Therefore, this conclusion does not follow.
Conclusion II:
All cartoons are shadows – From the above diagram, we can see that the circle of cartoons is completely inside the circle of shadows. Therefore, this conclusion follows.
Conclusion III:
Some shadows are pencils – From the above diagram, we can see that the circles of the shadows and pencils intersect and have some common area between them. Therefore, this conclusion follows.
So, both conclusions II and III follow. Hence, the first option is correct.
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