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If 'A is taller than B' and 'B is taller than C', which conclusion is correct?

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Question: If \'A is taller than B\' and \'B is taller than C\', which conclusion is correct?

Options:

  1. A is taller than C.
  2. C is taller than A.
  3. B is the tallest.
  4. C is shorter than B.

Correct Answer: A is taller than C.

Solution:

From the statements, we can conclude that \'A is taller than C\' based on the transitive property.

If 'A is taller than B' and 'B is taller than C', which conclusion is correct?

Practice Questions

Q1
If 'A is taller than B' and 'B is taller than C', which conclusion is correct?
  1. A is taller than C.
  2. C is taller than A.
  3. B is the tallest.
  4. C is shorter than B.

Questions & Step-by-Step Solutions

If 'A is taller than B' and 'B is taller than C', which conclusion is correct?
  • Step 1: Understand the first statement: 'A is taller than B'. This means A's height is greater than B's height.
  • Step 2: Understand the second statement: 'B is taller than C'. This means B's height is greater than C's height.
  • Step 3: Combine the information: Since A is taller than B, and B is taller than C, we can compare A and C indirectly.
  • Step 4: Use the transitive property: If A is taller than B and B is taller than C, then A must also be taller than C.
  • Step 5: Conclude: Therefore, we can say '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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