CAT QA Modern Maths preparation needs a proper strategy and should start preparing for the exam in a very systematic manner. Learning concepts from theorems is an ideal and more appropriate approach to understanding modern maths topics like Sequence and Series, Probability, Permutation, and Combination, etc. Check CAT QA Syllabus

For each topic coming in CAT quants, try to first clear all the basics before moving to the next higher level. Learning the basics is important and also try to solve different types of CAT quant questions to get a better understanding of the kind of questions asked in the CAT exam. 

Read the article to know more about CAT QA modern maths Sample Questions, Preparation Tips, and Important topics that all help get a good score.

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• CAT Quants Exam Pattern
• CAT Quants Exam Analysis & Difficulty Level of Questions

Some Tips and Strategies for CAT Modern Maths

CAT Quantitative Aptitude Section Wise Preparation Tips and Tricks

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CAT Quantitative Aptitude Modern Maths Sample Questions

Question: How many 3-digit numbers are there, whose product is greater than 2 but less than 7?

Solution: The product of the digits of the three-digit numbers will be more than 2 and less than 7. Hence there are a total of 21 possibilities.

Question: Ram spend INR 10000 at 5% simple annual interest, and after two years, Sham invested INR 8000 at 10% simple annual interest. Explain after how many years Ram’s investment, will their balances become equal?

Solution:

Let after n years both the sums amount will become equal.

Then, 1000(1+5×(n+2)100)=800(1+10×n100)1000(1+5×(n+2)100)=800(1+10×n100)

1.5=15n100⇒n=101.5=15n100⇒n=10

Thus after 12 years after Ram’s invested their balances will be equal

Question: An alloy is prepared by combining three metals including A, B and C in the proportion 3: 4: 7 by volume. Weights of the same volume of the metals A, B and C will be in the ratio 5: 2: 6. What will be the weight in 130 kg of the alloy?

• 70
• 96
• 48
• 84

Solution:

Required weight of C=(7×63×5+4×2+7×6)×130=84C=(7×63×5+4×2+7×6)×130=84 kg

Question: If a, b and c all are positive integers such that ab = 432, bc = 96 and c < 9, then calculate the value of the smallest possible a + b + c is

• 56
• 59
• 49
• 46

Solution:

Given ab=432,bc=96ab=432,bc=96 and c<9c<9

In order to calculate the minimum value for a+b+c,a+b+c, the two larger numbers must be as close as possible. The closest combination whose product is 432 is 18×2418×24. For b=24,b=24, we get c=4c=4 and a=18a=18.

The least value for a+b+c=46a+b+c=46.

Question: A straight road connects points A and B. One car travels from A to B while another Car travels from B to A, both of them left the place at the same time. After meeting each other, both of them took 45 minutes and 20 minutes, respectively, to complete their journeys. If Car 1 travels at the speed of 60 km/hr, then what will be the speed of Car 2, in km/hr?

• 90
• 100
• 80
• 70

Solution: Here the Ratio of speeds =√ Inverse ratio of times taken = Inverse ratio of times taken C1:C2=√20:45C1:C2=20:45 i.e., 2: 3

Since the car speed C1C1 is 60 kmph, the speed of Car C2C2 will be 90 kmph

Hope we have provided enough information that motivates you to kick start your preparation for Quant Section of CAT. To get a good score in this section you need to have a clear understanding of all the concepts included in this section as it plays an important role in exam preparation. The CAT exam always surprises candidates with different and new style of questions, so it’s better to have a proper and planned preparation strategy that helps get a good score.

Quick Links

• CAT Previous Year Question Papers of Quant
• CAT Previous Year Question Papers of VARC
• CAT Previous Year Question Papers of DILR

CAT Quantitative Aptitude Modern Maths Important Topics

Quant section holds a significant position in CAT preparation as its syllabus is quite huge. From topics like percentages to algebra to geometry, you have to prepare a lot of subjects. Thus it is important to have a sound knowledge of this section and clear all your basics from the beginning. Since the Quantitative Aptitude section in CAT has the maximum number of topics, so breaking them into sub-sections helps you with your exam preparations.

CAT Quantitative Ability Syllabus

• Number System: You need to clear your basic concepts.
• Arithmetic: Arithmetic includes many sub-topics.
• Algebra: Algebra is one of the important topics in CAT, so prepare accordingly for the same.
• Geometry: A few questions are asked from this section as well.
• Permutation & Combination/Probability: 1-2 questions come in the exam.
• Miscellaneous Topics: Some of the Miscellaneous Topics include Set Theory, Trigonometry, and Logarithms

Some of the Important Topics are:

• Sequence and Series
• Binomial Theorem
• Set Theory
• Permutation and Combination
• Probability

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