Consider the given statement as true and decide which of the given conclusions can definitely be drawn from the given statements. Statement: No dog is a cat. Some cats are rats. All rats are pigs. Conclusions: 1. All dogs are rats. 2. All pigs are rats. 3. Some pigs are cats. 4. No pig is a dog.?

Only conclusion 1 and 2 follows
Only conclusion 3 follows
Only conclusion 1 and 3 follows
Only conclusion 4 follows

LohaHridoy

5 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 2 : Only conclusion 3 follows

The least possible Venn diagram for the given statement is as follows,

[ alt="29-Aug Shift 1 Shivraj 25Q to Reviewed.docx 35" src="//storage.googleapis.com/tb-img/production/19/04/29-Aug_Shift%201_Shivraj_25Q_to%20Reviewed.docx%2035.PNG" style="width: 213px; height: 68px;">

Conclusions:

1. All dogs are rats → it’s possible but not definite, hence false.

2. All pigs are rats → it’s possible but not definite, hence false.

3. Some pigs are cats → true.

4. No pig is a dog → it’s possible but not definite, hence false.

Hence, only conclusion 3 follows.

5 views Answered 2022-09-04 04:29

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