Statement:
Atmost some circles are spheres
Only a few triangle are circle.
Some triangles are spheres.
No triangle is rhombus.
Conclusions:
i. All triangles can be spheres.
ii. Some spheres are not rhombus is a possibility.
iii. Some circles are not rhombus.
iv. All rhombus are not spheres is a possibility.
Some triangle are sphere (I) → Probable conclusion → All triangle can be sphere (A). Hence conclusion I follows. Some triangle are sphere (I) → Conversion → Some sphere are triangle (I) + No triangle is rhombus (E) → Some sphere are not rhombus (O). Hence conclusion II does not follow. No triangle is rhombus (E) → Conversion → No rhombus is triangle (E) + Some triangles are circles (I) → Some circle are not rhombus (O*). Hence conclusion III follows. Some triangle are sphere (I) → Conversion → Some sphere are triangle (I) + No triangle is rhombus (E) → Some sphere are not rhombus (O) → Probable conclusion → All rhombus may not be sphere (O). Hence conclusion IV follows. Alternate Method -
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