In the following question, four statements are given followed by four conclusions I, II, III and IV. You have to consider the given statements to be true even, if they seem to be at variance with commonly known facts. Read all the conclusions and decide which of the following logically follows from the given statements disregarding the commonly known facts. Statements: Some Blue are Red. Some Green are Blue. All Blue are White. Some Red are Paper. Conclusions: I. Some Paper are White. II. All Green are Red. III. All Red being White is a possibility. IV. Some Paper being Green is a possibility.?

Option 5 : Only III and IV follow

The Venn diagram for the given statements is as follows,

[ alt="5b582363175cbd521dddc99d.1" src="//storage.googleapis.com/tb-img/production/18/12/5b582363175cbd521dddc99d.1.PNG" style="width: 291px; height: 172px;">

Based on that we will check conclusions:

I. Some Paper are White → It’s possible but not definite, hence false.

II. All Green are Red → It’s possible but not definite, hence false.

III. All Red being White is a possibility → Possibility is true as shown below.

[ alt="5b582363175cbd521dddc99d.2" src="//storage.googleapis.com/tb-img/production/18/12/5b582363175cbd521dddc99d.2.PNG" style="width: 295px; height: 175px;">

IV. Some Paper being Green is a possibility → Possibility is true as shown below.

[ alt="5b582363175cbd521dddc99d.3" src="//storage.googleapis.com/tb-img/production/18/12/5b582363175cbd521dddc99d.3.PNG" style="width: 298px; height: 174px;">