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The question below, is given a statement followed by two conclusions numbered I, II, and III. You have to assume everything in the statement to be true, then consider the three conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement. Statements: All Heroes are Dancers. Some dancers who are not heroes are old. All old are singers. Some singers are heroes. Conclusions: I. Some heroes are singers II. Some heroes are old III. Some old are a dancer

The question below, is given a statement followed by two conclusions numbered I, II, and III. You have to assume everything in the statement to be true, then consider the three conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement. Statements: All Heroes are Dancers. Some dancers who are not heroes are old. All old are singers. Some singers are heroes. Conclusions: I. Some heroes are singers II. Some heroes are old III. Some old are a dancer Correct Answer Only I and III follows

The least possible diagram is as follows:

[ alt="dmrc D1" src="//storage.googleapis.com/tb-img/production/20/10/dmrc_D1.PNG">

Conclusions:

I. Some heroes are singers → True (This is a possible statement as we can see in the diagram Some heroes are singers)

II. Some heroes are old  → False (As we can see clearly in the figure that there is no relation between heroes and old, so a certain conclusion will be wrong, and the possibility of this conclusion is also false).

III. Some old are dancer → True (This is a possible statement as we can see in the diagram Some old are dancer) 

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