CAT 2024 Number System Questions with Answers
CAT 2024 Number System Questions evaluate candidates on key concepts like factors, HCF and LCM, base systems, and remainders. Number theory plays a crucial role and carries considerable weight in the CAT Exam.
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
Given below are some most-asked CAT 2024 Number System questions and 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
Answer: 15Q3: How many pairs of integers (x,y) satisfy the condition that the product of x,y, and their HCF equals 1080?
a) 8
b) 7
c) 9
d) 12
Answer: 9Also Read:CAT 2024 Arithmetic Questions with AnswersQ4: If the sum of two numbers is 1050, what is the maximum possible value of their HCF?
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
Answer: 3Q 6: Six different varieties of sweets, in quantities of 32, 216, 136, 88, 184, and 120, need to be packed such that each box contains only one type of sweet and an equal number of sweets. What is the minimum number of boxes required?
a) 129
b) 64
c) 48
d) 97
Answer: 97
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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
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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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FAQs
What strategies should I use to effectively prepare for Number System questions in CAT 2024?
The strategies you should use to effectively prepare for Number System questions in CAT 2024 include focusing on key concepts and formulas, practice regularly, take mock tests to simulate exam conditions, and learn shortcut techniques to solve questions quickly and accurately.
What are the best books to prepare for Number System questions in CAT 2024?
The best books to prepare for Number System questions in CAT 2024 include "Quantitative Aptitude For CAT" by Pearson and "Quantitative Aptitude For CAT" by Arun Sharma. These resources provide comprehensive coverage and practice problems for the Quant section in CAT preparation.
How many Number System questions can I expect in CAT 2024?
You can expect 1 to 2 questions from Number System concepts like HCF and LCM, Factors and Factorization, and Base System in The CAT exam. However, the exact number may vary each year.
What are the key topics covered under Number System questions in CAT 2024?
The key topics include HCF and LCM, factors and factorization, base systems, divisibility rules, remainders, indices & surds, unit digits, last two digits, cyclicity, and general number properties.
How important are Number System questions in the CAT 2024 exam?
The Number System questions are important in the CAT exam, particularly in the Quantitative Aptitude section. These questions assess fundamental mathematical concepts, making them both essential and scoring.