# CAT 2020 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Quants Questions | Question 13

This question is about the smallest possible value of a function. Function is a simple topic that involves a lot of basic ideas. Make sure that you get hold of them by solving these questions during your CAT preparation. A range of CAT questions can be asked based on this concept in the CAT Exam. Make sure you practice a lot of questions in Algebra to push your CAT preparation in the right direction.

Question 13 : Among 100 students, x1 have birthdays in January, x2 have birthdays in February, and so on. If x0 = max(x1, x2, ..., x12), then the smallest possible value of x0 is

1. 8
2. 10
3. 12
4. 9

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x0 = 100 (If all 100 had their birthdays on January)
If x0 = 3 (Not possible, because all x1 ,.....x12 together will be only 36)
So x0 will be lesser when the numbers are as close as possible
$$frac{100}{12}$=8.5 So if we add 8$12 times) = 96
So, need to have 8,8,8,8,8,8,8,8,9,9,9,9 (Adding these 12 we will get 100)
x0 = 9

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