# CAT 2018 Question Paper | Quants Slot 1

###### CAT Previous Year Paper | CAT Functions Questions | Question 33

This is a fairly doable question from Functions. Though the question seems to be tricky, it is easy if one comprehends the basics of what is being asked. Solving these kinds of questions from the CAT Previous Year Paper gives you the essence of the difficulty tested in the CAT Exam.

Question 33 : Let f(x)=min{2x2, 52 - 5x}, where x is any positive real number.Then the maximum possible value of f(x) is [TITA]

## Best CAT Coaching in Chennai

#### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now!

##### Method of solving this CAT Question from Functions

Given f(x) = min {2x2, 52 − 5x}
From graph, we see that f(x) increases initially and then decreases after intersection
So, maximum value occurs when 2x2 = 52 − 5x
2x2 + 5x – 52 = 0
2x2 - 8x + 13x - 52 = 0
2x(x-4) + 13(x-4) = 0
(2x+13) (x-4) = 0
Since x is a Positive real number, x = 4
min{2x2,52-5x} = min {32,32} = 32 = max f(x)

The question is " Let f(x)=min{2x2, 52 - 5x}, where x is any positive real number.Then the maximum possible value of f(x) is [TITA]"

##### Hence, the answer is 32

###### CAT Coaching in ChennaiCAT 2023

Classroom Batches Starting Now! @Gopalapuram

###### Best CAT Coaching in Chennai Introductory offer of 5000/-

Attend a Demo Class

##### Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

##### How to reach 2IIM?

Mobile: (91) 99626 48484 / 94459 38484
WhatsApp: WhatsApp Now
Email: info@2iim.com