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CAT 1998 — QA Question 21

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Number of students who have opted for subjects A, B and C are 60, 84 and 108 respectively. The examination is to be conducted for these students such that only the students of the same subject are allowed in one room. Also the number of students in each  room must be same. What is the minimum number of rooms that should be arranged to meet all these conditions?

Answer & solution

Correct answer: 21

  • A

    28

  • B

    60

  • C

    12

  • 21

Solution

HCF of 60, 84 and 108 is 12. Hence, 12 students should be seated in each room. So for subject A we would require (6012) = 5 rooms, for subject B we would require (8412) = 7 rooms and for subject C we would require (10812) = 9 rooms. Hence, minimum
number of rooms required to satisfy our condition = (5 + 7 + 9) = 21 rooms.

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CAT 1998 QA Q21: Number of students who have opted for subjects A, B and C are 60, 84 and 108 respectively. The examination is — Solution | TheCATExam