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Two statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: Some caps are shirts. Some shirts are coats. Conclusions: I. No coat is cap. II. No coat is shirt. III. Some coats are caps

Two statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: Some caps are shirts. Some shirts are coats. Conclusions: I. No coat is cap. II. No coat is shirt. III. Some coats are caps Correct Answer Either conclusion I or III follow.

Concept:

  • The neither-nor case is applicable when both the conclusions are false, whether definite or not.
  • The either-or case is applicable for a pair of statements only if either of the following pair of keywords is used AND only if the following conditions are satisfied:

Keywords:

  1. All and some not
  2. Some and no

Conditions:

  1. The same elements are used in the two conclusions. For example, in this case, the elements jungles and malls are common to both conclusions.
  2. Both conclusions should be possibilities. That is, they should be false because the conclusion is possible but not definite.

Then, the pair of conclusions are considered as complementary pairs.

The least possible venn diagram is:

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I. No coat is cap. → False (There is no direct relation given between caps and coats so it can be possible but not definite, hence false)

II. No coat is shirt. → False (as some shirts are coats given so some coats can be shirts it is definite, but no coat is shirt, it is not possible)

III. Some coats are caps. → False (there is no direct relation given between caps and coats so it can be possible but not definite, hence false)

But, I and III forms a complementary pair.

Hence, either conclusion I or III follows.

Related Questions

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