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: No police officer is a doctor. Some doctors are specialists. All engineers are doctors. Conclusions: I. Some engineers are police officers. II. No engineer is a police officer. III. Some doctors are engineers.
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: No police officer is a doctor. Some doctors are specialists. All engineers are doctors. Conclusions: I. Some engineers are police officers. II. No engineer is a police officer. III. Some doctors are engineers. Correct Answer <span style="">Only conclusions II and III follow.</span>
The least possible Venn diagram for the given statements is as shown below :
[ alt="F1 Savita SSC 29-6-22 D35" src="//storage.googleapis.com/tb-img/production/22/06/F1_Savita_SSC_29-6-22_D35.png" style="width: 332px; height: 103px;">
Conclusions:
I. Some engineers are police officers → False (As All engineers are doctors and No police officer is a doctor so, Some engineers are police officers is false)
II. No engineer is a police officer → True (As All engineers are doctors and No police officer is a doctor so, No engineer is a police officer is true)
III. Some doctors are engineers → True (As All engineers are doctors so, Some doctors are engineers is true)
∴ Here, Conclusions II and III are true.
Hence, the correct answer is "Only conclusions II and III follow".