Question 134

Four statements are given followed by four conclusions numbered I, II, III and IV. 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
1) Some Plates are Cups.
2) Some Cups are Bowls.
3) All Bowls are Glasses.
4) Some Bowls are Pans.

Conclusions
I. Some Cups are Pans.
II. Some Pans are Glasses.
III. No Pan is a Plate
IV. No Cup is a Pan.

Solution

Statement i and iv are two opposite statements. So, one of those two has to be true.

We know that all Bowls are Glasses, and some Bowls are Pans. So, some Pans are Glasses.

Statement ii is always true.


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