CAT 2024 Modern Maths Questions with Answers

It is beneficial to start practising CAT 2024 Modern Maths questions when preparing for the CAT QA section. It's important to approach your preparation systematically. Modern Maths topics in CAT primarily include key topics like Permutation and Combination, Probability, Set Theory, Factorials, Remainders, Base Systems, Factor Theory, LCM, HCF, Divisibility rules, Unit Digits, Last Two Digits, and Statistics. Generally, you can expect 1-2 questions from Modern Mathematics in the exam. It's crucial to master the basics and practice a variety of CAT Quant questions to gain a clear understanding of the types of problems you'll encounter in the CAT 2024. To enhance your preparation, explore the sections below for CAT QA Modern Maths sample questions, preparation tips, and key topics—all of which are essential for achieving a high score.

Also Read: CAT 2024 Number System Questions with Answers

CAT 2024 Modern Maths Questions with Answers

Have a look at some of the top CAT Modern Maths questions and answers below:

Q1: What is the sum of all possible four-digit numbers that can be formed using the digits 3, 5, 5, and 6, with each digit used exactly once?

[1] 64,427

[2] 63,327

[3] 65,297

[4] 43,521

Answer: [3] 65,297

Q2: In a one-day international cricket series between India and Australia, the series continues until one team wins 4 matches, with no draws. How many different ways can the series be won?

[1] 35

[2] 70

[3] 105

[4] 140

Answer: [2] 70

Q3: How many five-digit numbers divisible by 9 can be formed using the digits 0, 1, 2, 3, 4, 7, 8 without repetition?
[1] 216
[2] 214
[3] 212
[4] 200

Answer: [1] 216

Also Read: CAT 2024 Profit and Loss Questions and Answers

Q4: If A={1,2,3}A = \{1, 2, 3\}A={1,2,3} and B={2,3,4,5}B = \{2, 3, 4, 5\}B={2,3,4,5}, what is A∩BA \cap BA∩B?

a) {1,4,5}\{1, 4, 5\}{1,4,5}
b) {2,3}\{2, 3\}{2,3}
c) {2,3,4}\{2, 3, 4\}{2,3,4}
d) {1,2,3,5}\{1, 2, 3, 5\}{1,2,3,5}

Answer: b) {2,3}\{2, 3\}{2,3}

Q5: What is the probability of rolling a sum of 7 with two fair dice?

a) 16\frac{1}{6}61​
b) 112\frac{1}{12}121​
c) 19\frac{1}{9}91​
d) 14\frac{1}{4}41​

Answer: a) 16\frac{1}{6}61​

Q6: If the probability of an event happening is 35\frac{3}{5}53​, what is the probability of the event not happening?

a) 25\frac{2}{5}52​
b) 15\frac{1}{5}51​
c) 35\frac{3}{5}53​
d) 45\frac{4}{5}54​

Answer: a) 25\frac{2}{5}52​

Also Read:CAT 2024 Arithmetic Questions with Answers

Q7: If the function f(x)=3x+5f(x) = 3x + 5f(x)=3x+5, find f−1(x)f^{-1}(x)f−1(x), the inverse of f(x)f(x)f(x).

a) x−53\frac{x - 5}{3}3x−5​
b) 3x−53x - 53x−5
c) 3x+52\frac{3x + 5}{2}23x+5​
d) x+53\frac{x + 5}{3}3x+5​

Answer: a) x−53\frac{x - 5}{3}3x−5​

Q8: If log⁡b(81)=4\log_b(81) = 4logb​(81)=4, what is the value of bbb?

a) 3
b) 9
c) 27
d) 81

Answer: b) 3

Q9: Find the value of xxx if 2x+2x+1+2x+2=1122^x + 2^{x+1} + 2^{x+2} = 1122x+2x+1+2x+2=112.
a) 3
b) 4
c) 5
d) 6

Answer: c) 5

Q 10: A locker at the RBI building can be opened with a three-digit code ranging from 000 to 999. Chhota Chetan, a terrorist, knows that the code contains exactly one digit '6'. If he dials a random three-digit code, what is the probability that he successfully opens the locker?

a) 1/243
b) 1/900
c) 1/1000
d) 1/216

Answer: 1/243

Also Read: CAT 2024 Modern Math Questions with Answers

Important Topics in CAT Modern Maths 2024

The Quant section is crucial in CAT preparation due to its extensive syllabus, covering everything from percentages to algebra to geometry. It's essential to build a strong foundation and clear your basics early on. Given the breadth of topics, breaking them into sub-sections can aid your preparation. Key topics to focus on include:

• Sequence and Series

• Binomial Theorem

• Set Theory

• Permutation and Combination

• Probability

Preparation Tips for CAT 2024 Modern Maths

Preparing for the CAT Modern Maths section requires a well-planned strategy and consistent practice. To excel in this section, it’s crucial to adopt efficient methods and focus on quick problem-solving techniques. Below are some valuable tips and strategies to enhance your preparation and maximize your performance in the exam.

• Master Quick Calculation Techniques: To speed up your calculations, it’s essential to familiarize yourself with Vedic Maths and other quick-solving methods. Learn shortcuts and techniques that help you arrive at answers more swiftly, enabling you to save valuable time during the exam.

• Memorize Key Numbers: For quicker calculations, make sure you know the squares and cubes of numbers up to 25. Additionally, understanding the fractional and decimal equivalents of numbers up to 30-35 will help you handle complex problems with greater ease.

• Practice Efficient Multiplication and Division: Refine your multiplication and division techniques to solve quant problems more effectively. While practising, avoid using calculators to strengthen your mental math abilities, which is crucial for performing well in the exam.

• Focus on Section-Wise Practice: Take section-wise tests regularly to pinpoint and address your weaknesses. Clearly identify your strong and weak areas to tailor your preparation effectively.

• Follow a Structured Timetable: Create a well-organized timetable that covers all sections of Quantitative Aptitude. During the exam, be sure to attempt all Non-MCQ questions, as they don’t carry a penalty for incorrect answers, maximizing your scoring potential.

Practising a series of CAT 2024 Modern Maths Questions can effectively enhance readiness for the upcoming CAT exam. Mastering Modern Maths is essential for a strong performance in the CAT 2024 Quantitative Aptitude section. With topics ranging from Permutation and Combination to Probability, the right approach and consistent practice can significantly boost your score. 

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