Field Trip Contingent Determination

XAT 2013 · DM · Hard · Data Sufficiency

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Students from four sections of a class accompanied by respective class teachers planned to go for a field trip. There were nineteen people in all. However, on the scheduled day one of the four teachers and a few students could not join the rest. Given below are some statements about the group of people who ultimately left for the trip.

I: Section A had the largest contingent. II: Section B had fewer students than Section A. III: Section C's contingent was smaller than Section B. IV: Section D had the smallest contingent. V: The product of the number of student from each section is a multiple of 10. VI: The number of students from Section C is more than 2. VII. The product of the number of students from each section is a multiple of 24. VIII. The largest contingent has more than 4 students. IX: Each section contributed different number of students

The statements that taken together can give us the exact number of students from each section:

  1. A.

    I, II, III, IV, VI

  2. B.

    I, VI, VIII, IX

  3. C.

    I, II, III, IV, V, VI

  4. D.

    I, II, III, IV, VI, VII

  5. E.

    I, IV, VI, VII, IX

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