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CAT Concept of finding maximum and minimum values - Practice Questions & MCQ

Edited By admin | Updated on Oct 04, 2023 04:20 PM | #CAT

Quick Facts

  • 4 Questions around this concept.

Solve by difficulty

Which of the following option represent $y = max\{x, \sqrt x$} in $[0,\infty)$?

Concepts Covered - 1

Concept of finding maximum and minimum values

The concept of finding maximum and minimum values is an important topic in the study of inequalities, which is a part of the chapter on Equations. This concept is frequently tested in management entrance exams like CAT, MAT, XAT, and SNAP. In this concept, we focus on understanding how to find the maximum and minimum values of a given function or expression, subject to certain constraints or conditions.

Important Previous Year Questions:

  1. Question 1: (Provide the question of a previous year question related to the concept)
  2. Question 2: (Provide the question of a previous year question related to the concept)
  3. Question 3: (Provide the question of a previous year question related to the concept)

Solution:

  • Increase the difficulty level of the examples gradually, providing step-by-step solutions for each question.
  • Emphasise the key strategies and techniques used to solve each question.
  • Clearly explain the reasoning behind each step to ensure complete understanding.

Tips and Tricks:

  • Tip 1: Identify the constraints or conditions given in the question. They play a crucial role in determining the maximum and minimum values.
  • Tip 2: Understand the nature of the function or expression for which you need to find the maximum and minimum values. Is it a quadratic, exponential, or logarithmic function?
  • Tip 3: Use calculus techniques like differentiation or integration, if necessary, to find the critical points.
  • Tip 4: Employ inequality properties and laws to simplify the given expressions and equations.
  • Tip 5: Learn how to solve optimization problems by setting up the objective function and determining the feasible region.

By understanding the concept of finding maximum and minimum values and practising with previous year questions, you will significantly improve your problem-solving skills in this area. Remember to analyse different types of questions and strategies used to approach them. Regular practice and a thorough understanding of the underlying concepts will ensure your success in management entrance exams.

 

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