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If 'A' is taller than 'B' and 'B' is taller than 'C', what can we conclude about

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

Options:

  1. A is shorter than C.
  2. A is taller than C.
  3. A and C are of equal height.
  4. C is taller than A.

Correct Answer: A is taller than C.

Solution: 

If A is taller than B and B is taller than C, then A must be taller than C.

If 'A' is taller than 'B' and 'B' is taller than 'C', what can we conclude about

Practice Questions

Q1
If 'A' is taller than 'B' and 'B' is taller than 'C', what can we conclude about 'A' and 'C'?
  1. A is shorter than C.
  2. A is taller than C.
  3. A and C are of equal height.
  4. C is taller than A.

Questions & Step-by-Step Solutions

If 'A' is taller than 'B' and 'B' is taller than 'C', what can we conclude about 'A' and '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: Since 'A' is above 'B' and 'B' is above 'C', we can visualize this as: A > B > C.
  • Step 5: From this arrangement, we can conclude that 'A' must also be taller than 'C'.
  • Transitive Property of Inequality – This concept states that if A > B and B > C, then A > C.
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