CAT Concept of range - Practice Questions & MCQ

Introduction to Range

• The range is a statistical measure of variability.
• It represents the difference between the maximum and minimum values in a set of data.
• Range = Maximum value - Minimum value

Application of Range in Inequalities

• Range plays a crucial role in solving inequality-based questions in management entrance exams.
• It helps in determining the possible range of values for variables under given conditions.
• The concept of range is frequently tested in questions involving profit, loss, speed, time, etc.

Foundation Building questions:

• Example 1: "Find the range of possible speeds at which a car can travel given that the average speed is 60 km/h and the range of variation is within 20%." (CAT 2018)
• Example 2: "Determine the range of share prices after a 10% decrease in share value and a subsequent 25% increase in share value." (XAT 2017)

Tips and Tricks for Solving Range-based Questions

• Understand the problem: Read the question carefully to identify the given information and the variable involved.
• Formulate the range: Determine the maximum and minimum values based on the conditions mentioned.
• Calculate the range: Subtract the minimum value from the maximum value to find the range.
• Use answer options: In multiple-choice questions, check if any of the given options fall within the calculated range.
• Practise previous year questions: Solve questions from previous year exams to get familiar with different types of range-based problems and their solutions.

Conclusion

• Understanding the concept of range is essential for solving inequality-based problems in management entrance exams.
• By practising range-related questions, you can improve your ability to analyse and interpret data accurately.