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Consider the following statements:

1. If A is taller than B, B is taller than C, then A is taller than C.
2. If X is equal to Y, Y is smaller than Z, then X is smaller than Z.
3. If P is greater than Q and Q is greater than R, then R is greater than P.

How many of the statements given above are correct?

  • A.Only one
  • B.Only two
  • C.All three
  • D.None

Answer: B

Only two statements are correct.

Statement 1 is correct: 'taller than' is transitive, so A > B > C gives A > C.

Statement 2 is correct: X equals Y and Y is smaller than Z, so X, being the same as Y, is smaller than Z.

Statement 3 is wrong: P > Q > R gives P > R, the opposite of what it says. So statements 1 and 2 hold and 3 reverses the conclusion.

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