# CAT 2018 Question Paper | Quants Slot 1

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

The best questions to practice for CAT Exam are the actual CAT Question Papers. 2IIM offers you exactly that, in a student friendly format to take value from this. If you would like to take the same inside a testing engine (for Free) head out here: CAT Official Question Mocks. In CAT 2018 we saw some beautiful questions that laid emphasis on Learning ideas from basics and being able to comprehend more than remembering gazillion formulae and shortcuts. Original CAT Question paper is the best place to start off your CAT prep practice. This page provides exactly that. To check out about 1000 CAT Level questions with detailed video solutions for free, go here: CAT Question Bank

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 2020Starts Sat, December 14th, 2019

##### 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

Signup Now!

###### CAT Coaching in ChennaiCAT 2020Enroll at 44,000/-

Next Weekend Batch Starts Sat, Dec 14th, 2019

###### Best CAT Coaching in ChennaiRegister Online, get Rs 4000/- off

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?

Phone: (91) 44 4505 8484
Mobile: (91) 99626 48484
WhatsApp: WhatsApp Now
Email: prep@2iim.com