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Data Sufficiency: Slip Fielders Distance

XAT 2023 · Quantitative Ability & Data Interpretation · Hard · Data Sufficiency

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The problem below consists of a question and two statements numbered 1 & 2. You have to decide whether the data provided in the statements are sufficient to answer the question.

In a cricket match, three slip fielders are positioned on a straight line. The distance between 1st slip and 2nd slip is the same as the distance between 2nd slip and the 3rd slip. The player X, who is not on the same line of slip fielders, throws a ball to the 3rd slip and the ball takes 5 seconds to reach the player at the 3rd slip. If he had thrown the ball at the same speed to the 1st slip or to the 2nd slip, it would have taken 3 seconds or 4 seconds, respectively. What is the distance between the 2nd slip and the player X?

  1. The ball travels at a speed of 3.6 km/hour.
  2. The distance between the 1st slip and the 3rd slip is 2 meters.
  1. A.

    Statement 1 alone is sufficient to answer the question, but statement 2 alone is not sufficient.

  2. B.

    Statement 2 alone is sufficient to answer the question, but statement 1 alone is not sufficient

  3. C.

    Each statement alone is sufficient

  4. D.

    Both statements together are sufficient, but neither of them alone is sufficient

  5. E.

    Statements 1 & 2 together are not sufficient

Answer

A

Explanation

Let speed be vv. Distances from X to 1st, 2nd, and 3rd slips are 3v,4v,5v3v, 4v, 5v. Statement 1 gives v=3.6 km/h=1 m/sv = 3.6 \text{ km/h} = 1 \text{ m/s}, directly giving the distance 4v=44v = 4 meters. Thus Statement 1 alone is sufficient.

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