Question
Statements: Only a few cube are squares.
Only a few cube are triangle. Only a few rectangle are squares. Conclusions: I. All squares being rectangle is a possibility. II. Some triangle being cube is a possibility. III. Some rectangle can be triangle. In each of the questions below some statements are given followed by some Conclusions. You have to take the given statements to be true even, if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.Solution
Some rectangle are squares (I) → Probable conclusion → All squares may be rectangle (A). Hence conclusion I follows. Some cube are triangle (I) → Conversion → Some triangle are cube (I). Hence conclusion II does not follows. Some cube are triangle (I) → Conversion → Some triangle are cube (I) + Some cube are squares (I) → Probable conclusion → Some triangle are squares (I) + Some squares are rectangle (I) → Probable conclusion → Some rectangle can be triangle (I). Hence conclusion III follows.
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