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Which of the following is/are correct?

1. If P is taller than Q, and Q is shorter than R, then P must be the tallest among the three.
2. If X runs faster than Y, and Y runs as fast as Z, then X runs faster than Z.

Select the answer using the codes given below:

  • A.1 only
  • B.2 only
  • C.Both 1 and 2
  • D.Neither 1 nor 2

Answer: B

2 only is correct.

Statement 1 does not follow. P is taller than Q and R is taller than Q, but nothing compares P with R, so P need not be the tallest; R could be taller than P.

Statement 2 follows. Y and Z run at the same speed, and X is faster than Y, so X is faster than Z.

The difference is that statement 2 chains through an equality, while statement 1 has both comparisons pointing at Q, which leaves P and R unordered.

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