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All fruits are sweet. Some sweet things are not fruits. Therefore, some things t

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Question: All fruits are sweet. Some sweet things are not fruits. Therefore, some things that are not fruits are sweet. Is this conclusion valid? (2023)

Options:

  1. Yes
  2. No
  3. Only if all sweet things are fruits
  4. Only if some fruits are sweet

Correct Answer: Yes

Exam Year: 2023

Solution: 

The conclusion is valid. The premises allow for the existence of sweet things that are not fruits.

All fruits are sweet. Some sweet things are not fruits. Therefore, some things t

Practice Questions

Q1
All fruits are sweet. Some sweet things are not fruits. Therefore, some things that are not fruits are sweet. Is this conclusion valid? (2023)
  1. Yes
  2. No
  3. Only if all sweet things are fruits
  4. Only if some fruits are sweet

Questions & Step-by-Step Solutions

All fruits are sweet. Some sweet things are not fruits. Therefore, some things that are not fruits are sweet. Is this conclusion valid? (2023)
  • Step 1: Understand the first statement: 'All fruits are sweet.' This means every fruit is included in the group of sweet things.
  • Step 2: Understand the second statement: 'Some sweet things are not fruits.' This means there are sweet things that do not belong to the fruit category.
  • Step 3: Analyze the conclusion: 'Some things that are not fruits are sweet.' This is saying that there are sweet things that are not fruits.
  • Step 4: Connect the statements: Since we know from the second statement that there are sweet things that are not fruits, the conclusion logically follows.
  • Step 5: Determine validity: Since the conclusion is supported by the premises, we can say the conclusion is valid.
  • Logical Reasoning – The question tests the ability to analyze premises and draw valid conclusions based on logical relationships.
  • Syllogism – The question involves understanding syllogistic reasoning, where conclusions are drawn from given premises.
  • Quantifiers – The use of quantifiers like 'all' and 'some' is crucial in determining the validity of the conclusion.
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