IIFT 2014 Question Paper Question 83

Instructions

In each question given below, there are three 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 to be at variance with commonly known facts and then decide which of the conclusion(s) logically follows from the given statements.

Question 83

Statements:
a. Some shirts are pants.
b. All shoes are shirts.
c. All pants are gloves.
Conclusions:
I. Some shoes are gloves.
II. Some shirts are gloves.
III. No pants are shoes.
IV. All gloves are shirts.

Solution

There are two cases possible as drawn below. 

From case 1 diagram, we can see that it's not necessary for some shoes to be gloves. Hence, conclusion I doesn't follow. 
From both diagrams, we can see that it is necessary for some shirts to be gloves. Hence, conclusion II follows. 
From case 2 diagram, we can see that some pants can be shoes. Hence, conclusion III doesn't follow. 
From both diagrams, we can see that it is not necessary for all gloves to be shirts. Hence, conclusion IV doesn't follow. 

Therefore, option A is the correct answer.


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