Multiple choice

Directions: The question given below is followed by two statements I and II. You are to determine whether the data given in the statements is sufficient to answer the question. You should use the data and your knowledge of Mathematics to choose between the possible answers. What is the radius of the circular track? I. An athlete makes a complete round the track in 1 hr 40 min. II. The average speed of the athlete is 25 kmph.

  1. The question can be answered by using statement I alone but cannot be answered by using statement II alone.

  2. The question can be answered by using statement II alone but cannot be answered by using statement I alone.

  3. Both statements I and II together are required to answer the question.

  4. The answer can be found by using any of the two statements alone.

  5. Both the statements together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

To find the radius, we need the circumference (C = speed * time). Statement I gives time, Statement II gives speed. Both are needed to calculate the total distance (circumference), from which the radius can be derived (C = 2*pi*r).

AI explanation

The radius of a circular track can be found using the circumference formula, where distance equals 2 times pi times the radius. Statement I provides the time of 1 hour 40 minutes (which is 5/3 hours), and statement II provides the speed of 25 kmph, but neither alone gives the track distance. Combining them gives the distance as 25 multiplied by 5/3, and dividing this circumference by 2 times pi yields the radius. Thus, both statements I and II together are required to answer the question.

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