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In the question below, there are two statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with the commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding the commonly known facts. Statements: I. All homo sapiens are brave. II. Only a few homo sapiens are crazy. Conclusions: I. Some brave are not crazy. II. All crazy are homo sapiens.

In the question below, there are two statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with the commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding the commonly known facts. Statements: I. All homo sapiens are brave. II. Only a few homo sapiens are crazy. Conclusions: I. Some brave are not crazy. II. All crazy are homo sapiens. Correct Answer Only conclusion I follows

Concept:

1. Only a few is a conditional statement which means only a certain part. For eg. if the statement is only a few A is B means only a specific part of the A is B and the remaining part of the A is not B.

a) Only a few - means only "some" not "all".

b) "Few" is same as "Some".

c) Only "A is B" is same as "all B are A".

2. In this case following conclusions:

  • All A being B is a possibility will be false.
  • All B being A is a possibility will be true.
  • Some A are not B is true.
  • Some B are not A is false.
  • Some A are B is true.

We can say that it is a conditional statement which is a combination of some and some_not both.

The least possible Venn diagram for the given statements is as follows,

[ alt="F1 S.Y Deepak 04.12.2019 D 1" src="//storage.googleapis.com/tb-img/production/19/12/F1_S.Y_Deepak_04.12.2019_D%201.png" style="width: 301px; height: 125px;">

I. Some brave are not crazy → True (Only few homo sapiens are crazy, so some homo sapiens are not crazy and all homo sapiens are Brave. So, some brave are)

II. All crazy are homo sapiens → False, (as only few homo sapiens are crazy, so it is possible but not definite true. hence false)

Hence, Only conclusion I follows

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