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GO Classes DA Test Series | Artificial Intelligence | Propositional and Predicate logic | Question: 7

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Suppose the marked diagram below conveys information about relationships between pirates, ruffians and scoundrels. We use shading to indicate that a region contains no elements. An " $\mathrm{X}$ " in a region indicates the existence of at least one element; an " $\mathrm{X}$ " on the boundary between two regions indicates that the union of those two regions contains at least one element. If a region is unmarked, then whether that region contains any elements is uncertain. Select the choice that must be true according to the marked diagram.
 


 

  1. No scoundrels are ruffians and some pirates aren't scoundrels.
  2. All ruffians are scoundrels and some scoundrels aren't pirates.
  3. No pirates are scoundrels and some ruffians are scoundrels.
  4. All ruffians are scoundrels and some pirates are ruffians.

1 Answer

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Option A is incorrect because the intersection "X" tells that there is a scoundrels who is a ruffians
Option B is incorrect because of the statement "some scoundrels aren't pirates" - the red and green region can very well be empty. So there is no gurantee that there are some scoundrels who are not pirates
Option C is incorrect because  the intersection "X" tells that there is pirate who is scoundrel
Option D is correct because " black region " guarantees All ruffians are scoundrels and "X" region guarantees some pirates are ruffians.

 

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