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Discussion

Which of the following conclusion/s is/are valid based on the statements given below ?

Statement I : All tax payers are honest.
Statement II : All students are honest.
Conclusion 1 : Some tax payers are not honest.
Conclusion 2 : Some students are tax payers.

Code :

  • A.1 only
  • B.2 only
  • C.1 and 2 both
  • D.Neither 1 nor 2

Answer: D

The answer is Neither 1 nor 2.

Conclusion 1, 'Some tax payers are not honest', directly contradicts Statement I, 'All tax payers are honest', so it cannot follow.

Conclusion 2, 'Some students are tax payers', does not follow either. Both statements only say that tax payers and students lie inside the set of honest people; they could be completely separate groups within it. Two 'All ... are honest' statements say nothing about how tax payers and students overlap. So neither conclusion is valid.

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