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If 'A' is taller than 'B' and 'B' is taller than 'C', what can be concluded?

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Question: If \'A\' is taller than \'B\' and \'B\' is taller than \'C\', what can be concluded?

Options:

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

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 be concluded?

Practice Questions

Q1
If 'A' is taller than 'B' and 'B' is taller than 'C', what can be concluded?
  1. A is shorter than C.
  2. C is taller than A.
  3. A is taller than C.
  4. B is the tallest.

Questions & Step-by-Step Solutions

If 'A' is taller than 'B' and 'B' is taller than 'C', what can be concluded?
  • Step 1: Understand the relationships given in the question.
  • Step 2: Note that 'A' is taller than 'B'. This means A is higher than B.
  • Step 3: Note that 'B' is taller than 'C'. This means B is higher than C.
  • Step 4: Since A is higher than B and B is higher than C, we can compare A and C.
  • Step 5: If A is higher than B and B is higher than C, then A must also be higher than C.
  • Transitive Property of Inequality – If one quantity is greater than a second, and the second is greater than a third, then the first quantity is greater than the third.
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