The CAT 2025 examination is set to take place on 30th November 2025. The examination requires a lot of thorough preparation. A very prominent section of the exam is the Quantitative Aptitude section of the exam. Number Systems is a relatively smaller sub-topic of this section that students must prepare for. This article highlights key details about the Number Systems sub-topic in the CAT 2025 examination. This includes sample questions as well as other key details and tips.
CAT Number Systems Weightage
The topic of Number Systems is a relatively smaller topic in the CAT Quantitative Ability section. In recent trends, Number Systems only represents between 1 to 3 questions on the CAT examination in the Quantitative Ability section. The QA section overall consists of around 22 to 25 questions on the CAT examination. Thus, the Number Systems topic is relatively lesser in comparison. Students can thus prepare for this topic of the QA section of CAT accordingly without worrying about it having too much weightage on the paper.
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CAT Number Systems Questions
Provided below is an overview of questions for the Number Systems topic of the QA section of the CAT examination. Practicing these questions will ensure students are well-prepared for the topic when the CAT examination begins.
The sample questions for Number Systems are as follows:
Question Number | Question |
1 | How many integers between 1 and 1000 (inclusive) are divisible by neither 2 nor 5? |
2 | How many three-digit numbers are divisible by 7? |
3 | What is the highest power of 3 that divides 50? |
4 | The average of three distinct real numbers is 28. If the smallest number is increased by 7 and the largest number is reduced by 10, the order of the numbers remains unchanged, and the new arithmetic mean becomes 2 more than the middle number, while the difference between the largest and the smallest numbers becomes 64. Then what is the largest number in the original set of three numbers? |
5 | The sum of all four-digit numbers that can be formed with the distinct non-zero digits a, b, c, and d, with each digit appearing exactly once in every number, is 153310 + n, where n is a single digit natural number. Then what is the value of (a+ b+c+d) ? |
6 | What is the number of all positive integers up to 500 with non-repeating digits? |
7 | What is the number of positive integers less than 50, having exactly two distinct factors other than 1 and itself? |
8 | What is the smallest positive integer divisible by 12, 18, and 30? |
CAT Number Systems Answers
Provided below is an overview of the answers for the sample Number Systems questions for the CAT 2025 examination. The answers are as follows:
Question Number | Answer |
1 | 400 |
2 | 128 |
3 | 22 |
4 | 70 |
5 | 31 |
6 | 378 |
7 | 15 |
8 | 180 |
Also Read: Types of Questions Asked in the CAT Exam
CAT 2025 Number Systems Preparation Tips
When preparing for the Number System section of the CAT examination, there are several useful tips that students can keep in mind. Using these tips can help students be better prepared for the section as well as have a better overall performance on the QA section overall as well.
The CAT 2025 Number System preparation tips are as follows:
- Thorough Your Understanding: Students should develop a strong understanding of the key concepts of number systems. Even though the section has lesser weightage, having a conceptual understanding can ensure students have an overall better performance on the examination. The questions for this topic are not very tough and can help in ensuring high scores on the exam.
- Shortcuts and Tricks: Through solving enough questions, students should focus on finding shortcuts and tricks to make their calculation process for the questions of this section quicker and more efficient. An exam like CAT requires students to have precision and speed. Spending less time on answering questions can help students as much ground as possible on the exam, helping in securing a higher score.
- Mock Tests:Practicing using timed-mock tests are key for scoring well on the CAT exam. Mock tests ensure students have a thorough understanding and can help develop speed as well as accuracy. This can be applied to all topics of the QA section of the CAT exam, but especially helpful for a tricky section such as Number Systems.
