Instructions

In each question below are given two statements followed by four conclusions numbered I, II, III and IV. You have to take the two 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 follow from the two given statements disregarding commonly known facts.

Question 92

Statements:1. Some glasses are kettles.2. All kettles are jugs.Conclusions :I. Some jugs are glasses.II. All kettles are kettles.III. No jug is a glass.IV. Some kettles are not glasses.

Solution

The possible valid conclusions for 'Some glasses are kettles' can be: 'Some glasses are kettles, and some kettles are glasses', 'All glasses are kettles, and vice versa', and 'All kettles are glasses, but not vice versa'.

The possible valid conclusions for 'All kettles are jugs' can be: 'All kettles are jugs, and vice versa', and 'All kettles are jugs, but not vice versa'.

On examining the options, only the first option would hold true irrespective of whichever two statements we combine. In order to arrive at the correct answer, we shall try negating each option by finding a case that invalidates the conclusion. If we find a conclusion that holds true in every possible combination, it happens to be a va;id one. For example, the third conclusion gets invalidated when we combine 'All glasses are kettles, and vice versa', and  'All kettles are jugs, and vice versa'.