CAT Exam (Common Admission Test) is a computer-based selection test
conducted by the Indian Institutes of Management (IIMs) as a prerequisite for
admissions to their business admissions program. There are 3 sections in the
paper: Quantitative Aptitude, Verbal Ability, and Reading Comprehension, and
Logical Reasoning and Data Interpretation. Quantitative Aptitude is considered to
be the most crucial section of the paper. This section contains 34 questions
including both MCQs and TITAs as per the exam pattern of CAT 2020 that are to
be solved within 60 minutes. Topics that are important for QA are:
TOPIC | NO.OF QUESTIONS EXPECTED | DIFFICULTY LEVEL |
Number system, basic arithmetic | 5 to 10 | Moderately difficult |
Geometry and menstruation | 7 to 8 | Moderately difficult |
Algebra | 6 to 7 | Moderately difficult |
Permutation and combination | 1 to 2 | Easy |
Probability | 1 to 2 | Moderately difficult |
Time, speed, and distance | 1 to 2 | Moderately difficult |
Trigonometry, logarithms, and sets | 1 to 3 | Easy |
Profit, loss, and discount | 1 to 2 | Easy |
Interests(SI,CI) | 1 to 2 | Moderately difficult |
Time and work | 1 to 2 | Difficult |
As seen above, the number system, arithmetic, algebra, and geometry have the most
expected number of questions. Let us now take an in-depth look at the probable
parts under these 4 sections.
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Number System
- Basics of number
- Properties of numbers
- Divisibility rules
- Successive division
- Divisibility and factors
- Factor theory
- Highest common factor (HCF) and
- Lowest common factor (LCM)
- Finding out the last digit
- Finding out the last two digits
- Number of trailing zeros
- Sum of all numbers formed from given digits
- Special cases of factorials
- Finding out remainders
- Base systems
Arithmetic
- Average
- Mean median mode
- Percentage
- Ratio and proportion
- Partnership
- Installments
- Mixtures
- Calendars
- Clocks
- Stocks and shares
- Progression
Algebra
- Basic algebraic formulas
- Linear equations
- Quadratic equations
- Higher degree equations
- Inequalities
- Logarithm
- Functions
- Graphs
Geometry
- Lines and Angles
- Triangles
- Polygons
- Circles
- Solids/mensuration- 3D geometry
- Coordinate geometry
- Trigonometry
The modern math section includes:
- Sequence and series
- Binomial theorem
- Set theory
- Permutation and combination
Mathematical questions of QA sections are based on common logic theories. The
candidates are required to practice more basic mathematics to gain conceptual
understanding. You can start with NCERT books to clear out your basics. You can
join online QA courses to get a thorough understanding of the basics. Arun
preparation books. You can even take the help of youtube tutorials that is easily
accessible and free of cost. Try to solve as many questions after you are clear with
the basics. Keep practicing the sample papers and other practice materials that
are easily available on the internet. Take the help of a stopwatch to measure the amount
of time needed to solve the questions. The calculation speed will increase with
regular practice over time. Focus on basic topics such as number system and
geometry as they hold a good amount of weightage and are proven to be the
most scoring part. Pick up past year question papers after you are thorough with
the basics and keep solving them.
I hope this article was helpful to you. All the best!