My Learning Cart
?
Categories
Account

All teachers are educated. Some educated people are not scientists. Therefore, s

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: All teachers are educated. Some educated people are not scientists. Therefore, some teachers are not scientists. Is this conclusion valid?

Options:

  1. Yes
  2. No
  3. Only if all educated people are teachers
  4. Only if some teachers are scientists

Correct Answer: No

Solution: 

The conclusion is not valid. The premises do not provide enough information to conclude that some teachers are not scientists.

All teachers are educated. Some educated people are not scientists. Therefore, s

Practice Questions

Q1
All teachers are educated. Some educated people are not scientists. Therefore, some teachers are not scientists. Is this conclusion valid?
  1. Yes
  2. No
  3. Only if all educated people are teachers
  4. Only if some teachers are scientists

Questions & Step-by-Step Solutions

All teachers are educated. Some educated people are not scientists. Therefore, some teachers are not scientists. Is this conclusion valid?
  • Step 1: Understand the first statement: 'All teachers are educated.' This means every teacher belongs to the group of educated people.
  • Step 2: Understand the second statement: 'Some educated people are not scientists.' This means there are some educated people who do not belong to the group of scientists.
  • Step 3: Analyze the conclusion: 'Therefore, some teachers are not scientists.' This suggests that at least one teacher is not a scientist.
  • Step 4: Check if the premises support the conclusion. Since we know all teachers are educated, but only some educated people are not scientists, we cannot conclude that any of those non-scientists are teachers.
  • Step 5: Conclude that the information given does not guarantee that some teachers are not scientists, making the conclusion invalid.
  • Logical Deduction – The ability to draw conclusions 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 implications of universal ('all') and particular ('some') quantifiers in logical statements.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks