Question: Some fruits are apples. All apples are sweet. Therefore, some fruits are sweet. (2023)
Options:
True
False
Cannot be determined
None of the above
Correct Answer: True
Exam Year: 2023
Solution:
The conclusion logically follows from the premises.
Some fruits are apples. All apples are sweet. Therefore, some fruits are sweet.
Practice Questions
Q1
Some fruits are apples. All apples are sweet. Therefore, some fruits are sweet. (2023)
True
False
Cannot be determined
None of the above
Questions & Step-by-Step Solutions
Some fruits are apples. All apples are sweet. Therefore, some fruits are sweet. (2023)
Step 1: Identify the first statement: 'Some fruits are apples.' This means there are some fruits that belong to the category of apples.
Step 2: Identify the second statement: 'All apples are sweet.' This means every apple is included in the group of sweet things.
Step 3: Combine the information: Since some fruits are apples and all apples are sweet, it follows that those fruits that are apples must also be sweet.
Step 4: Conclusion: Therefore, since some fruits are apples and those apples are sweet, we can conclude that some fruits are sweet.
Logical Deduction – The ability to derive a conclusion from given premises using logical reasoning.
Syllogism – A form of reasoning in which a conclusion is drawn from two given or assumed propositions (premises).
Quantifiers in Logic – Understanding the use of quantifiers like 'some' and 'all' in logical statements.
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