The two statements below are followed by three conclusions labeled I, II and III. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements. Statements: 1. Some mangoes are fruits. 2. All fruits are sweets. Conclusions: I. Some sweets are mangoes. II. All sweets are fruits. III. Some mangoes are neither fruits nor sweets.
The two statements below are followed by three conclusions labeled I, II and III. Assuming that the information in the statements is true, even if it appears to be at variance with generally established facts, decide which conclusion(s) logically and definitely follow(s) from the information given in the statements. Statements: 1. Some mangoes are fruits. 2. All fruits are sweets. Conclusions: I. Some sweets are mangoes. II. All sweets are fruits. III. Some mangoes are neither fruits nor sweets.
AOnly conclusions I and III follow
BOnly conclusions II and III follow
COnly conclusions I and II follow
DOnly conclusion I follows
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correct answer is: option d (Only conclusion I follows)
Explanation: Let's analyze each conclusion based on the given statements:
- Conclusion I: Some sweets are mangoes. Since "All fruits are sweets" and "Some mangoes are fruits", it logically follows that "Some sweets are mangoes". This conclusion is valid.
- Conclusion II: All sweets are fruits. The statement "All fruits are sweets" does not imply that "All sweets are fruits". It's possible that some sweets are not fruits. This conclusion is invalid.
- Conclusion III: Some mangoes are neither fruits nor sweets. The statements tell us "Some mangoes are fruits" and "All fruits are sweets". Therefore, all mangoes are not neither fruits nor sweets. This conclusion is invalid.
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