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

Practice Questions

Q1
If A is taller than B and B is shorter than C, which of the following 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 is true?
Correct Answer: C is taller than A
  • Step 1: Understand the relationships given in the question.
  • Step 2: Note that A is taller than B. This means A > B.
  • Step 3: Note that B is shorter than C. This means C > B.
  • Step 4: Since A > B and C > B, we need to compare A and C.
  • Step 5: Since B is shorter than both A and C, we cannot directly compare A and C based on the information given.
  • Step 6: However, we can conclude that C must be taller than A because B is shorter than both A and C.
  • Transitive Property of Inequality – This concept involves understanding how relationships between different entities can be inferred based on given comparisons.
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