Statements: Some apples are watermelons. All
watermelons are fresh. Some potatoes are fresh
Conclusions:
1. Some apples are fresh.
2. Some potatoes are apples.
3. Some watermelons are potatoes.
4. Some watermelons are apples.
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Question :-
Statements: Some apples are watermelons. All
watermelons are fresh. Some potatoes are fresh
Conclusions:
1. Some apples are fresh.
2. Some potatoes are apples.
3. Some watermelons are potatoes.
4. Some watermelons are apples.
(a) Only I follows
(b) Only I and II follow
(c) Only I and IV follow
(d) Either II or III and I follow .
Answer :-
Points to Remember in Syllogism :-
- we have to consider every given statement as true, even if it goes not conform to the well known facts.
- Read the conclusions and then decide which of the conclusions can be logically derived.
- Make a venn diagram of the problem.
in venn diagram of given statements we have :-
- A = apples.
- W = watermelons.
- F = fresh.
- P = potatoes .
Conclusion 1) :- Some apples are fresh.
- from image we can see that, relation between apple and water is given and than, all watermelons are fresh also given..
- we can easily see that, fresh circle also touches apple.
- Therefore Conclusion 1 will follow.
Conclusion 2) :- Some potatoes are apples.
- Potatoes have only relation with fresh .
- Therefore Conclusion 2 will not follow.
Conclusion 3) :- Some watermelons are potatoes.
- Both Potatoes and watermelons have only relation with fresh . Not with each other..
- Therefore Conclusion 3 will not follow.
Conclusion 4) :- Some watermelons are apples.
- in statement we have Some apples are watermelons.
- Therefore, we can conclude that, some watermelons are also apples.
- Hence Conclusion 4 will follow.
∴ Option (c) Only I and IV follow .
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Step-by-step explanation:
STATEMENT 1 IS TRUE
STATEMENT 4 IS TRUE
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