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If 'A' is taller than 'B' and 'B' is taller than 'C', can we conclude that 'A' i

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Question: If \'A\' is taller than \'B\' and \'B\' is taller than \'C\', can we conclude that \'A\' is taller than \'C\'?

Options:

  1. Yes
  2. No
  3. Only if \'C\' is not taller than \'B\'
  4. Only if \'A\' is not shorter than \'B\'

Correct Answer: Yes

Solution:

The conclusion is valid due to the transitive property of height.

If 'A' is taller than 'B' and 'B' is taller than 'C', can we conclude that 'A' i

Practice Questions

Q1
If 'A' is taller than 'B' and 'B' is taller than 'C', can we conclude that 'A' is taller than 'C'?
  1. Yes
  2. No
  3. Only if 'C' is not taller than 'B'
  4. Only if 'A' is not shorter than 'B'

Questions & Step-by-Step Solutions

If 'A' is taller than 'B' and 'B' is taller than 'C', can we conclude that 'A' is taller than 'C'?
  • Step 1: Understand the relationships given in the question.
  • Step 2: We know that 'A' is taller than 'B'. This means 'A' is above 'B' in height.
  • Step 3: We also know that 'B' is taller than 'C'. This means 'B' is above 'C' in height.
  • Step 4: If 'A' is above 'B' and 'B' is above 'C', we can visualize this as 'A' being above 'C' as well.
  • Step 5: This is an example of the transitive property, which states that if A > B and B > C, then A > C.
  • Step 6: Therefore, we can conclude that 'A' is taller than 'C'.
  • Transitive Property – If A is taller than B and B is taller than C, then A must be taller than C.
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