Multiple choice

Directions: In the following question, three statements are given. You have to find which of the statements is/are necessary and sufficient to answer the question that follows. A person travels from Jaipur to Delhi by a train and notices that with stoppages he covers the total distance in 63.3 hours. He wants to calculate the speed of the train without stoppages. What is the speed of the train excluding stoppages? Statement I: The total distance between Jaipur and Delhi is 750 km. Statement II: The first stoppage lasts for 4 minutes, the second for 6 minutes and the others like these for 8, 10, 12, …, 110 minutes. Statement III: The train can cross the platforms of the stations between Jaipur and Delhi in 15 seconds each.

  1. Only statement I is sufficient.

  2. Statement I and statement II are sufficient.

  3. Only statement II is sufficient.

  4. Statement I and statement III are sufficient.

  5. Statement I, statement II and statement III are sufficient.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

To find the speed excluding stoppages, we need the total distance (Statement I) and the total time spent at stoppages (Statement II). Statement III is irrelevant to calculating the total stoppage time.

AI explanation

To find the speed excluding stoppages, you need the total distance and the total time spent moving. Statement I provides the total distance of 750 km. Statement II provides an arithmetic progression of stoppage times (4, 6, 8, up to 110), which allows you to calculate the total stoppage time and subtract it from the overall travel time of 63.3 hours to find the actual moving time. Dividing the distance by this moving time gives the required speed, so only statements I and II are needed.

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