Question : Directions: Read the given statements and conclusions carefully. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. You have to decide which conclusion/s logically follow/s from the given statements.
Statements:
All triangles are squares.
Some squares are circles.
Some triangles are pyramids.
Conclusions:
(I) Some circles are pyramids.
(II) All pyramids are triangles.
Option 1: Only conclusion (I) is true
Option 2: Both conclusions (I) and (II) are true
Option 3: Neither conclusion (I) nor (II) is true
Option 4: Only conclusion (II) is true
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Correct Answer: Neither conclusion (I) nor (II) is true
Solution : The possible Venn diagram, according to the given statements is as follows –
Let's analyse the conclusions –
Conclusion (I):
Some circles are pyramids
– From the diagram, it is evident that there is no direct relation between pyramids and circles. So, this conclusion does not follow.
Conclusion (II):
All pyramids are triangles
– From the diagram, it is evident that the circles representing pyramids and triangles overlap each other. So, it can be concluded that only some pyramids are triangles.
So, n either conclusion (I) nor (II) is true . Hence the third option is correct.
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