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 length of the train? I. It passes a cycle moving at a speed of 10 km/hr in the same direction in 60 seconds. II. It passes a pole in 80 seconds while travelling at a speed of 120 km/hr.

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

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

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

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

  5. If both the statements together are not sufficient to answer the question.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement I: Relative speed = (V - 10) km/h. Length = (V-10)*5/18 * 60. Two variables (V and Length), cannot solve. Statement II: Speed = 120 km/h = 100/3 m/s. Length = 100/3 * 80 = 8000/3 m. Sufficient.

AI explanation

Statement II provides the time to pass a pole (80 seconds) and the exact speed of the train (120 km/h), which is sufficient to find the train's length using the formula length equals speed multiplied by time. Converting the speed gives 120 km/h equals 100/3 m/s, so the length is 100/3 multiplied by 80 equals 8000/3 meters. Statement I only gives the relative time passing a cyclist (60 seconds) and the cyclist's speed, but without knowing the train's actual speed or length, its length cannot be determined. Therefore, the question can be answered by using statement II alone but cannot be answered by using statement I alone.

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