Question : Directions: Three statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
No card is a picture.
Some pictures are frames.
No frame is a lens.
Conclusions:
I. No card is a frame.
II. All pictures can never be lenses.
III. At least some cards are lenses.
Option 1: Only conclusion II follows
Option 2: All conclusions I, II and III follow
Option 3: Only conclusions I and II follow
Option 4: Only conclusions II and III 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):
No card is a frame – According to the Venn diagram, there is no definite relation between a card and a frame. So, no card is a frame is a false conclusion.
Conclusion (II):
All pictures can never be lenses – According to the Venn diagram, part of the frame that is a picture can not be lenses. Therefore, all pictures can never be lenses is a true conclusion.
Conclusion (III):
At least some cards are lenses – According to the Venn diagram, there is no definite relation between cards and lenses. Therefore, at least some cards are lenses is a false conclusion.
Therefore, only conclusion II follows. Hence the first option is correct.
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