Multiple choice

The question is followed by two statements, I and II. Mark the answer as per the given conditions. [CAT 1990] How long did Mr. X take to cover 5000 km journey with 10 stopovers? I. The ith stopover lasted i2 minutes. II. The average speed between any two stopovers was 66 kmph.

  1. statement I alone is required to answer the question, but not statement II.

  2. statement II alone is required to answer the question, but not statement I.

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

  4. cannot be answered even with the help of both the statements.
Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

Statement I only provides the total duration of the ten stopovers as the sum of the squares of the first ten natural numbers, which is 385 minutes. Statement II gives the average speed of the moving time between any two stopovers, but fails to specify the eleven individual distances between those stopovers. Without the individual distances, you cannot determine the driving time or the total distance covered during the journey, making it impossible to calculate the total journey time even when combining both statements. Therefore, the question cannot be answered even with the help of both statements.

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