CAT 2020 Question Paper | Quants Slot 1

CAT Questions

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

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Video Explanation

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Explanatory Answer

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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The answer is, "9"