Multiple choice

Directions: The question below is followed by 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. Three friends, Alex, Ben, and Chris, went on a road trip together. During their journey, they tracked the distance they travelled each day and the total distance covered so far. Find the distance each friend travelled on the first and second days. Statement I: The total distance covered by the three friends on the first day was 150 kilometres, and the total distance covered by the three friends on the second day was 240 kilometres. Statement II: Alex and Ben each travelled 45 kilometres on the first day, and Chris travelled 40% more distance than Alex and Ben combined on the second day.

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

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

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

  4. Both the statements together are not sufficient to answer the question.

  5. e
Reveal answer Fill a bubble to check yourself
D Correct answer
AI explanation

Statement I only gives the combined daily totals of 150 km and 240 km without breaking down the distance each friend traveled. Statement II provides specific distances for Alex and Ben on the first day and a proportional rule for the second day, but it lacks a concrete total to find the exact distances for Chris or the other friends. Because we do not have the exact distances each friend traveled, both statements together are not sufficient to answer the question.

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