CAT 2020 - Syllabus, Exam Pattern, Learn Concepts, Selection Criteria
The CAT exam consists of 3 sections - Verbal Ability and Reading Comprehension, Data Interpretation & Logical Reasoning, Quantitative Ability.
Quantitative Ability and Data Interpretation & Logical Reasoning in CAT exam syllabus are focused to judge the person's ability to crunch numbers, concepts and applying the same within the limited time span whereas Verbal Ability and reading comprehension are to know the person's command over the language.
A total of 100 questions are to be solved in 180 minutes. Each correct response carries 3 marks, while each incorrect response carries -1 marks. Non-MCQ questions will not be negatively marked.
- VA-RC - This section consists of 20-25 Reading Comprehension questions and the rest consist of Verbal Ability questions.
- DI-LR - This section consists of 8 sets of 4 questions each. Anywhere between 2-4 sets of Data Interpretation questions can be expected in CAT exam 2020.
- QA - This section consists of 34 questions from various topics. Based on historic trends, most questions for CAT 2020 can be expected to be from Geometry, Arithmetic, and Algebra (in descending order).
CAT 2020 Exam Pattern & Marking Scheme |
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Section | Total Questions | No. of MCQ Questions | No. of TITA Questions | Marks (MCQ) | Marks (TITA) | Total Marks |
---|---|---|---|---|---|---|
Verbal Ability and Reading Comprehension | 34 | 26 - 28 | 6 - 8 | +3, -1 | +3, no negative | 102 |
Data Interpretation & Logical Reasoning | 32 | 26 - 28 | 4 - 6 | +3, -1 | +3, no negative | 96 |
Quantitative Ability | 34 | 26 - 28 | 6 - 8 | +3, -1 | +3, no negative | 102 |
Quantitative Ability Syllabus For CAT 2020:
Check: Quant Formulae Cheat Sheet
Arithmetic | Algebra | Number Systems | |
---|---|---|---|
1. Time, Speed & Distance | 1. Inequalities & Modulus | 1. LCM and HCF | |
2. Time & Work, Pipes & Cisterns | 2. Functions & Graphs | 2. Divisibility Rules | |
3. Simple Interest & Compound Interest | 3. Linear & Quadratic Equations | 3. Base Change | |
4. Ratios, Proportions & Variations | 4. Polynomials | 4. Finding Unit's Place, Ten's Place of a number | |
5. Percentages, Profit & Loss, Discount | 5. Logarithms | 5. Cyclicity, Number of trailing zeroes | |
6. Averages, Mixtures & Alligations | 6. Algebraic Identities | 6. Remainders | |
7. Maxima Minima | 7. Prime Factorisation | ||
8. Factorials | |||
9. Indices & Surds | |||
Geometry & Mensuration | Modern Mathematics | ||
1. Circles | 1. Permutations & Combinations | ||
2. Triangles | 2. Probability | ||
3. Polygons | 3. Set Theory (Including Venn Diagrams) | ||
4. Co-ordinate Geometry | 4. Binomial Theorem | ||
5. Lines and Angles | 5. Arithmetic, Geometric and Harmonic Progressions (Sequence & Series) | ||
6. Trigonometry |
Data Interpretation & Logical Reasoning Syllabus For CAT Exam 2020:
Data Interpretation | Logical Reasoning | ||
---|---|---|---|
1. Tables | 1. Number, Symbol, Letter Series | ||
2. Pie Charts | 2. Coding Decoding | ||
3. Bar Graphs | 3. Blood Relations & Family Tree | ||
4. Directions | |||
5. Binary Logic | |||
6. Games & Tournaments | |||
7. Linear & Circular Arrangements | |||
8. Team Formations | |||
9. Order & Ranking |
Verbal Ability and Reading Comprehension Syllabus For CAT 2020:
Verbal Ability | Reading Comprehension | ||
---|---|---|---|
1. Parajumbles (Tips) | 1. Tone Of Writing (Tips) | ||
2. Para Completion | 2. Passages (Tips) | ||
3. Statements & Assumptions | 3. Logical Inferences Tree | ||
4. Fill In The Blanks | |||
5. Sentence Completion |
The CAT 2020 syllabus can ideally be completed in a span of 4-8 months, depending on the level of preparation of a candidate.
1. Cyclicity and Unit Digit of a Number
Cyclicity is a basic but a very important concept in CAT exam and is used to find unit digit of a particular number. No matter what the number is or what power the number has, you can use the concept of cyclity to find the unit digit of that number in seconds.
So, starting with the concept, every no. say "x^n" repeats its unit digit in a cycle of 4 (power).
Number | x^1 | x^2 | x^3 | x^4 | |
1 | 1 | 1 | 3 | 4 | |
2 | 2 | 4 | 8 | 6 | |
3 | 3 | 9 | 7 | 1 | |
4 | 4 | 6 | 4 | 6 | |
5 | 5 | 5 | 5 | 5 | |
6 | 6 | 6 | 6 | 6 | |
7 | 7 | 9 | 3 | 1 | |
8 | 8 | 4 | 2 | 6 | |
9 | 9 | 1 | 9 | 1 |
For instance, you have to find the unit digit of (348)^21
The unit digit of (348)^21 will solely depend upon 8 and not on any other digit. Now divide the power 21 in the form of (4n + a). Thereby we can write 21 as 4(5) + 1. So, as fore-stated the unit digit repeats itself in a cycle of 4, we can say that the unit of (348)^21 = (348)^1.
Therefore, unit digit of (348)^21 = 8^1 => 8.
2. Number of squares and rectangles in a chess board
In a n*n chessboard,
The total no. of squares = 1^2 +2^2+3^2+…..+n^2
= n*(n+1)(2n+1)/6 (summation formula)
and the total no. of rectangles are given by: 1^3 +2^3+3^3+…..+n^3
=[{n^2}*{(n+1)^2}/4
So, for instance in a 8*8 chessbosard,
no. of squares are: 8*(8+1)(2*8+1)/6
i.e. 8*9*17/6
=1,224/6 => 204
and no. of rectangles are given by: [{8^2}*{(8+1)^2}/4
i.e. 64*9^2*/4
=5,184/4 => 1296 (this includes the no. of squares as well)
No. of rectangles, which are not squares are: 1296 - 204 => 1092 learn more