Three statements are followed by four conclusions numbered I, II, III and IV. You have to consider these statements to be true, even if they seem at variance from commonly known facts. Decide which of the given conclusions logically(s) follow from the given statements. Statements: 1. All petrol are diesel. 2. No diesel is kerosene. 3. All fuels are kerosene. Conclusions: I. Some fuel are petrol. II. No kerosene is petrol. III. No petrol is fuel. IV. Some kerosene are petrol.

Three statements are followed by four conclusions numbered I, II, III and IV. You have to consider these statements to be true, even if they seem at variance from commonly known facts. Decide which of the given conclusions logically(s) follow from the given statements. Statements: 1. All petrol are diesel. 2. No diesel is kerosene. 3. All fuels are kerosene. Conclusions: I. Some fuel are petrol. II. No kerosene is petrol. III. No petrol is fuel. IV. Some kerosene are petrol. Correct Answer Only conclusions II and III follow.

The Venn Diagram for the given data:
[ alt="F1 Zahida.K 02-04-21 Savita D5" src="//storage.googleapis.com/tb-img/production/21/04/F1_Zahida.K_02-04-21_Savita_D5.png" style="width: 328px; height: 82px;">
Conclusions:

I. Some fuel are petrol → false (as All petrol are diesel and all fuel are kerosene and  No diesel is kerosene.)
II. No kerosene is petrol → true (as All petrol are diesel and  No diesel is kerosene.)
III. No petrol is fuel → true (as All petrol are diesel and all fuel are kerosene and  No diesel is kerosene.)
IV. Some kerosene are petrol → false (as All petrol are diesel and all fuel are kerosene and  No diesel is kerosene.)

Hence, only conclusions II and III follow.

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