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 employees are tax-payers. Some employees are farmers. Some farmers are doctors. Conclusions: I. No farmer is a tax-payer. II. Some farmers are tax-payers.
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 employees are tax-payers. Some employees are farmers. Some farmers are doctors. Conclusions: I. No farmer is a tax-payer. II. Some farmers are tax-payers. Correct Answer Only conclusion II follows.
The least possible Venn diagram for the given statements is as shown below :
[ alt="F1 Savita SSC 21-6-22 D44" src="//storage.googleapis.com/tb-img/production/22/06/F1_Savita_SSC_21-6-22_D44.png" style="width: 312px; height: 126px;">
Conclusions:
I. No farmer is a tax-payer → False (As All employees are tax-payers and Some employees are farmers so, No farmer is a tax-payer is false)
II. Some farmers are tax-payers → True (As All employees are tax-payers and Some employees are farmers so, Some farmers are tax-payers is true)
∴ Here, Only conclusion II is true.
Hence, the correct answer is "Only conclusion II follows".