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If 'A' is taller than 'B', and 'B' is taller than 'C', which of the following st

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Question: If \'A\' is taller than \'B\', and \'B\' is taller than \'C\', which of the following statements is necessarily true?

Options:

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

Correct Answer: A is taller than C.

Solution: 

From the given information, it follows that A is taller than C.

If 'A' is taller than 'B', and 'B' is taller than 'C', which of the following st

Practice Questions

Q1
If 'A' is taller than 'B', and 'B' is taller than 'C', which of the following statements is necessarily true?
  1. A is taller than C.
  2. C is taller than A.
  3. B is shorter than A.
  4. C is shorter than B.

Questions & Step-by-Step Solutions

If 'A' is taller than 'B', and 'B' is taller than 'C', which of the following statements is necessarily true?
  • Step 1: Understand the relationships given in the question.
  • Step 2: The first statement says 'A is taller than B'. This means A > B.
  • Step 3: The second statement says 'B is taller than C'. This means B > C.
  • Step 4: Now, we can combine these two statements. If A > B and B > C, we can conclude that A must also be taller than C.
  • Step 5: Therefore, the statement 'A is taller than C' is necessarily true.
  • Transitive Property of Inequality – If A > B and B > C, then it follows that A > C.
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