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Number Systems CAT Questions Shortcut Tricks & Tips

The Number System CAT questions are asked mainly in the CAT QA section. It is one of the most important as well as scoring subjects, as this section only deals with direct mathematical calculations-based questions. So the candidates appearing in the upcoming CAT 2023, must not neglect Number System for CAT questions and its related topics. Please refer BYJU’S CAT College Predictor tool.

Over the years, the CAT exam has had the same pattern of questions for its Quantitative Aptitude. Quantitative Aptitude will have problems categorised as follows:

1. Number System
2. Geometry
3. Modern Maths
4. Algebra
5. Arithmetic

Read the article below to get a detailed study of number system CAT Questions important topics, important points and expert tips to prepare.

CAT Number System Questions Overview

Finding the last two digits comes under the Number System category of quantitative aptitude and after Geometry, the Number System is the part from which most questions are expected. The candidates can expect 2-4 Number System CAT questions, in which the topics will be included for conceptual puzzles, HCF, LCM and more. So, a clear understanding of the CAT Syllabus for the number system is very important to score a good rank in this section with ease.

Multiplying the last two digits of the exponents in ten seconds.

Follow this trick and shortcut method to multiply the numbers in your head. This can be a huge advantage for those preparing for CAT exam or any other MBA entrance exam.
The tricks used in this video are simple and straight. You might not need paper and pen to solve this type of question after learning the shortcuts.

The last digit of a number in form: an

The simple trick followed to know the last digit is to remember the cyclicity of the last digit of the number given. Every digit from 1 to 9 follows a pattern when exponential power is applied. Here is the table that will be handy in solving these types of questions.

Number Systems

The following video is the shortcut technique to find the last two digits of any power expression. With this technique, you will be able to solve where the last two digits of the numbers are required to be found.

Here is an example of the numbers ending in 1, like – 3167, 4123
Later it was discussed how to calculate to do the last two digits of the expression- 3764

This technique can be used for any number, asking for the last digit raised to any number. If you have to solve this type of question, you will be able to solve it within 30 seconds after watching the video.

Number System CAT Questions Important Topics

The topics included in this chapter are listed in the section below:

  • HCF and LCM
  • Factors
  • Factorization
  • Base System
  • Divisibility Rules
  • Remainders
  • Indices & Surds
  • Unit Digits
  • Last Two Digits
  • Cyclicity
  • Numbers

The Number System CAT Questions deal with the elementary knowledge of Mathematics. So regular practice is very much essential to gain conceptual clarity. If the candidates practised the questions and important topics thoroughly, they can easily solve CAT number system problems without making mistakes.

Books to Study to Prepare CAT Number System Chapters

The candidates must follow the best CAT books to complete this chapter with ease. Apart from that you can follow the best CAT study materials to complete this section on time.

  • Quantitative Aptitude For CAT by Pearson
  • Quantitative Aptitude For CAT by Arun Sharma

CAT Questions on Number System – Important Points to be Remembered

Candidates must constantly concentrate on developing concepts and finding straightforward solutions to the difficulties of CAT questions. Since there are so many themes linked to Number System CAT Questions, it is highly advised to practise more and more. The following are some crucial pointers & techniques that applicants can adhere to during their preparation, taking into account the Number System for CAT.

It is strongly advised to use shortcuts when answering the CAT Number System Questions. It assists the candidates in answering the questions swiftly and correctly without lengthening the calculations.

  • The total number of digits in a number up until it is a single digit is the number’s digital sum. For instance, the digital sum of 567 will be determined as 5+6+7=18, followed by 1+8=9, with 9 being the result.
  • A natural number product of n elements will always be divisible by n!
  • n(n+1) / 2 is the product of the first n natural integers.
  • The cubes of the first n natural numbers added together equal [n (n+1) /2].
  • A two-digit number’s total and a number created by flipping both digits are always divisible by 11.
  • Any three consecutive natural numbers with an even first number have a product that can only be divided by 24.

Experts Tips for Number System CAT Questions

It is necessary to thoroughly prepare for the CAT Number System Questions because they are regarded as a crucial subject. There are some strategies that must be used in order to address the issues with the number system. To tackle the Number System for CAT 2023, applicants can use the below-listed tips and strategies.

  • Numerous concepts and formulas are used in the Number System Questions. Candidates will be able to easily solve the Number System CAT Question if these are carefully followed.
  • To successfully complete Number System Questions for CAT exam, a lot of practice is required.
  • To practise these questions in an exam-like setting, take one of BYJU’S CAT Mock Tests.
  • Candidates should use shortcut techniques to quickly and easily answer Number System Questions for CAT.

Make your calculation skills phenomenal with these tricks and tips from BYJU’S. Check out the detailed process of registering for the CAT exam 2023. Post any CAT-related questions on BYJU’S Forum or call our education counsellor at 09880031619 and prepare for the CAT exam from the best CAT coaching institute in India.

Stay tuned with BYJU’S to get all CAT-related details, along with various preparation tips for all the important topics. Also, get similar video more engaging video lessons to learn various shortcut tricks to solve the different types of Number System CAT Questions.

Frequently Asked Questions on Number System for CAT


How many Number System Questions for CAT can I expect on the exam day?

As per the last year’s CAT Exam Analysis, the candidates can expect 2-4 CAT number system questions.


Are Number System CAT questions difficult to answer?

No, these questions are very easy to solve and scoring also. The candidates need to have conceptual clarity for all the important topics and formulas.


How many hours do I invest daily to prepare the Number System CAT Questions?

Daily investments of 2-3 hours of dedicated study are enough to prepare the Number System CAT Questions.


How to Prepare CAT Number System Questions in 2 Months?

It is not feasible for applicants to prepare for Number System Questions for CAT in two months if they have a basic understanding of mathematics. They simply need to practice a lot to keep up their accuracy and quickness.