Instructions

In each question below are given some statements followed by four conclusions numbered I, II, III and IV. You have to take the given statements to be true even if they seem at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

Question 11

Statements: Some ice are rings
No ring is paint
Some rings are gold
Conclusions: I. No gold is paint
II. No ice is gold
III. Some rings are paints
IV. All golds are rings

Solution

For conclusions I, II and IV, we use elimination ie prove they are not universally true by finding an exception. The exception is shown below. For conclusion III, we draw various Venn diagrams to check if it holds but it doesn't in any case. So, all four conclusions are not implied.