MBApyq

Field Trip Contingent Determination

XAT 2013 · Decision Making · Hard · Data Sufficiency

All XAT 2013 questionsMore Data Sufficiency questionsAll XAT DM

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

Answer

E

Explanation

Option E (I, IV, VI, VII, IX) provides bounds: A is largest, D is smallest, C > 2, product of students is multiple of 24, and all sections have different numbers of students, which uniquely fixes the contingents.

Related Data Sufficiency questions

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace