CAT Arithmetic and Algebra Syllabus 2022
The aspirants must check out the syllabus before their preparation. An expected syllabus for CAT 2022 arithmetic is listed in the following table, which may be beneficial for the aspirants.
Criteria | Arithmetic Chapters |
Part 1: Basic Mathematical Concepts |
|
Part 2: High Probability Chapters |
|
Part 3: Low chances in CAT exam but should not be neglected |
|
The Algebra part in the CAT QA section should also be prepared effectively, like Arithmetic. The CAT questions on algebra include the following topics as per previous year papers and the aspirants should go through it to get a good grasp.
- Basic formula of Algebra
- Inequalities
- Logarithm
- Linear Equations (Age-related problems, integer Solutions)
- Equations on the higher degree (Descartes rule of signs)
- Functions (Graph modifications, Finding the smallest value in a maximum function)
- Quadratic equations (Finding out root values, minima, and maxima)
Best CAT Books to Study Arithmetic and Algebra
As this part in CAT, QA is very vast, the aspirants must have the right choices of books for their preparation. The most recommended books for CAT arithmetic algebra are listed in the following.
Book Name | Author | Publishers |
Quantitative Aptitude Quantum CAT | Sarvesh K Verma | Arihant |
Fast Track Objective Arithmetic | Rajesh Verma | Arihant |
Quantitative Aptitude for Competitive Examinations | R.S. Agarwal | S.Chand |
Quantitative Aptitude for CAT | Nishit K Sinha | Pearson |
How to Prepare for Quantitative Aptitude for CAT | Arun Sharma | Tata McGraw Hill |
The Pearson Guide to Quantitative Aptitude for Competitive Examinations | Dinesh Khattar | Pearson |
Tips to Prepare CAT Arithmetic Algebra Questions
The aspirants might have several questions before starting preparation for CAT Exam. It is indeed as this QA part is huge and the aspirants become confused to make the best preparation strategy. The following are a few preparation tips, which may be beneficial for the aspirants to crack the CAT QA section.
Prepare SMART study goals.
SMART (Specific Measurable Achievable Relevant Time-bound) goals are necessary for strategic preparation. With this, the aspirants can clarify their knowledge and remain focused on their study plan.
Revise regularly and attempt Mock Test
After completing each chapter, it is highly recommended to do daily revisions. Otherwise, the aspirants may forget the important formulas related to the chapter's topic. They can also solve BYJU’s Exam Prep mock test to regularly revise what they have learned.
Solve CAT Previous Years’ Questions
Solving previous years’ CAT questions will help the aspirant to understand the question pattern and standard. Identify the kinds of Arithmetic Algebra Questions asked in the CAT exam over the years and prepare accordingly.
Time management
The aspirants must ensure that they are practicing by managing the time, as there is a specific time duration of each section in the CAT exam. You must have a good pace of solving questions so you can attempt all the questions with maximum accuracy.
Sample CAT Questions on Arithmetic & Algebra
The best way to start practicing CAT questions on these subjects is to go through CAT previous year algebra & arithmetic questions. Here are a few examples.
Identify your key areas
Identify the strong areas and try to look for those questions in the test. It helps you score easily. You may opt out to prepare a few topics that you find extremely challenging and rather focus on your strong concepts.
Arithmetic Questions For CAT
- P is x% more than Q. Q is (x - 10) % less than R. If P > R, what is the range of values x can take?
- 10% to 28%
- 10% to 25%
- 10% to 37%
- 10% to 43%
Answer: 10% to 37%
Explanation:
Compare P, Q, and R first.
P = Q (1 + x/100)
Q = R {1 – (x−10)/100)}
R= Q/ {1- (x-10/100)}
Now, P > R
= Q (1 + x/100)> Q/ {1- (x-10/100)}
= 1 + x/100>1/ (100-x+10)/100
=(100+x)/100> 100 (110-x)
= (100 + x) (110 – x) > 100 * 100
= 11,000 + 110x – 100x – x2 > 10000
= 1000 + 10x – x2 > 0
= x2 – 10x – 1000 < 0
= x2 – 10x + 25 < 1000 + 25
= (x – 5)2 < 1025
= x – 5 < 32
= x < 37
Therefore, the X ranges from 10% to 37%
Algebra Questions For CAT
The given pair (X, Y) of positive integers, such that 4X-17Y=1 and X<1000 how many integer values of Y satisfy the given conditions?
[1] 56
[2] 57
[3] 58
[4] 59
Answer: 59
Explanation:
Firstly, it is needed to find out a solution for X and Y. Values of X would be in an AP with a common difference of 17 whereas values of y would be in an AP with a common difference of 4.
X=13, Y=3
X=30, Y=7
X=47. Y=11
Hence, X= 999, Y= 235
Therefore, number of terms = {(999-13)/17} +1 =58+1 =59
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