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If A is taller than B and B is shorter than C, which of the following statements

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

Options:

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

Correct Answer: C is taller than A.

Solution: 

Since A is taller than B and B is shorter than C, it logically follows that C must be taller than A.

If A is taller than B and B is shorter than C, which of the following statements

Practice Questions

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

Questions & Step-by-Step Solutions

If A is taller than B and B is shorter than C, which of the following statements is true?
  • Step 1: Identify the relationships given in the question.
  • Step 2: A is taller than B. This means A > B.
  • Step 3: B is shorter than C. This means C > B.
  • Step 4: Since A is taller than B (A > B) and C is taller than B (C > B), we need to compare A and C.
  • Step 5: The information does not directly compare A and C, so we cannot conclude that C is taller than A.
  • Step 6: Therefore, the statement 'C must be taller than A' is not necessarily true.
  • Transitive Property of Inequality – This concept involves understanding how relationships between different entities can be inferred based on given comparisons.
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