CAT 2024 Number System Questions with Answers

CAT 2024 Number System Questions predominantly appear in the Quantitative Aptitude (QA) section in the CAT exam. The Number System questions in the Quantitative Aptitude section of the CAT exam primarily assess candidates on concepts such as factors, HCF and LCM, base systems, and remainders. Typically, you can expect 1-2 questions on HCF-LCM in the exam. Number theory is a significant topic that has substantial weight and is both crucial and scoring, focusing solely on direct mathematical calculations. To boost your CAT 2024 score, it is crucial to practice on as many Number System questions as possible. To help candidates prepare better for the exam, we have compiled the most commonly asked CAT Number System questions with answers .

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CAT 2024 Number System Questions with Answers

Q1: What is the smallest number that, when divided by 5, 6, 7, 8, and 9, leaves remainders of 4, 5, 6, 7, and 8, respectively?

Options:

a) 2519

b) 5039

c) 1079

d) 979

Answer: 2519

Options:

a) 12

b) 8

c) 15

d) 30

a) 8

b) 7

c) 9

d) 12

a) 350

b) 700

c) 1050

d) 525

Answer: 525

Q5: The sum of two non-coprime numbers, when added to their HCF, equals 91. How many such pairs exist?

a) 2

b) 4

c) 3

d) 6

a) 129

b) 64

c) 48

d) 97

Answer: 97

Also Read : CAT 2024 Modern Math Questions with Answers

Q 7: In a school auditorium, students are seated such that if they are arranged in rows of 16, 12 students remain unseated; in rows of 24, 20 students remain; in rows of 25, 21 students remain; and in rows of 30, 26 students remain. What is the minimum number of students present in the school?

a) 1216

b) 1784

c) 1196

d) 2396

Answer: 1196

Q 8: What is the remainder when the product 1998 × 1999 × 2000 is divided by 7?

a) 0

b) 1

c) 2

d) 4

Answer: d) 4

Q 9: The sum of the digits of a two-digit number is 12. When the digits are reversed, the new number is 18 more than the original number. What is the original number?

a) 39
b) 48
c) 57
d) 93

Answer: b) 48

Also Read : CAT 2024 Quant Formula PDF Download

Q 10: Find the greatest number that will divide 400, 550, and 775 leaving the same remainder.

a) 75
b) 50
c) 25
d) 100

Answer: b) 50

Q 11: What is the remainder when the product 1998×1999×20001998 \times 1999 \times 20001998×1999×2000 is divided by 7?

a) 0
b) 1
c) 2
d) 4

Answer: d) 4

Q 12: The product of two consecutive even numbers is 9408. What is the greater of the two numbers?

a) 76
b) 78
c) 80
d) 82

Answer: b) 78

Also Read : How to Prepare for CAT Quantitative Ability (QA) 2024

Key Topics in CAT Number System Questions

The CAT exam's Number System questions cover a range of fundamental mathematical concepts. Below are the essential topics you should focus on:

• HCF and LCM: Understanding how to find the Highest Common Factor (HCF) and the Least Common Multiple (LCM) of numbers.
• Factors and Factorization: Breaking down numbers into their prime factors and understanding divisors.
• Base System: Working with different number bases and converting between them.
• Divisibility Rules: Knowing the rules that determine whether one number is divisible by another without performing full division.
• Remainders: Techniques for finding remainders when dividing numbers.
• Indices & Surds: Simplifying expressions with exponents and roots.
• Unit Digits and Last Two Digits: Finding patterns in the last digits of powers and products.
• Cyclicity: Recognizing repeating cycles in digits for powers of numbers.
• Numbers and Number Properties: General properties and classifications of numbers.

Best Books for CAT Number System Questions

Utilize the best resources to build a strong foundation in the Number System. Recommended books include:

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

In addition to these books, consider using CAT study materials that provide comprehensive coverage and practice problems.

Also Read : CAT 2024 Quant Topic-Wise Questions

Preparation Tips for Mastering Number System Questions in CAT 2024

The Number System is a fundamental topic in the CAT exam, and thorough preparation is essential for success. To excel in this section, it’s important to apply effective strategies and techniques. By incorporating these strategies into your preparation, you’ll be well-equipped to handle Number System questions in the CAT exam with precision and confidence. Here are some expert tips to help you tackle Number System questions in CAT 2024:

• Master Key Concepts and Formulas: The Number System involves a variety of concepts and formulas. Familiarize yourself with these thoroughly, as they form the foundation for solving problems. A strong grasp of these basics will enable you to approach questions with confidence and accuracy.
• Regular Practice: Consistent practice is crucial for mastering Number System questions. Regularly solving problems will help reinforce your understanding and improve your problem-solving speed. Dedicate time each day to work through a variety of questions to build your skills.
• Take Mock Tests: To prepare effectively, practice solving Number System questions in a simulated exam environment. Taking mock tests can help you get accustomed to the pressure and time constraints of the actual exam. This approach will enhance your ability to manage time and reduce errors under stress.
• Utilize Shortcut Techniques: Learning and applying shortcut methods can significantly reduce the time required to solve Number System questions. These techniques allow you to solve problems quickly and efficiently, giving you an edge during the exam. Invest time in mastering these shortcuts to boost your performance.

Mastering the CAT 2024 Number System Questions is vital for success in the CAT 2024 exam, as they form a significant part of the Quantitative Aptitude section. By focusing on key concepts, practising regularly, and utilizing effective strategies such as shortcut techniques, candidates can enhance their problem-solving skills and boost their overall performance.

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