CAT 1998 — QA Question 21
Direction: Answer the question based on the following information.
A, B, C and D collected one-rupee coins following the given pattern.
- Together they collected 100 coins.
- Each one of them collected even number of coins.
- Each one of them collected at least 10 coins.
- No two of them collected the same number of coins.
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
- A
28
- B
60
- C
12
21
HCF of 60, 84 and 108 is 12. Hence, 12 students should be seated in each room. So for subject A we would require = 5 rooms, for subject B we would require = 7 rooms and for subject C we would require = 9 rooms. Hence, minimum
number of rooms required to satisfy our condition = (5 + 7 + 9) = 21 rooms.