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Discussion

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements: All bats are foods. Some foods are pains.
Conclusion (I): At least some pains are bats.
Conclusion (II): Some pains are foods.

  • A.Only conclusion (I) follows
  • B.Only conclusion (II) follows
  • C.Both conclusions (I) and (II) follow
  • D.Both conclusions (I) and (II) do not follow

Answer: B

Only conclusion (II) follows. The second statement says some foods are pains, and that is reversible: if some foods are pains, then some pains are foods, so conclusion (II) holds. Conclusion (I) claims that some pains are bats. All bats are foods, so bats lie inside the set of foods, but the pains that are foods may be a different part of that set, so nothing links pains to bats. A Venn diagram with the pains overlapping only the foods outside the bats satisfies both statements and breaks (I). So option B is correct, and the options that include (I) are wrong.

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