The CAT exam, administered by the Indian Institutes of Management, attracts a substantial number of aspiring MBA students from across the country annually. Last year, more than 2.5 lakh students appeared for the CAT Exam.
Candidates taking the CAT exam 2023 are likely to put a lot of effort into preparing for the test, with the goal of achieving a high percentile score.
Time management is crucial on the exam, as there are time limits for each section i.e. 40 Minutes. To perform well, it's important to have both speed and accuracy.
In this article, EduRev will provide some shortcut techniques for certain topics that can help simplify calculations and allow you to complete the questions within the allotted time.
The CAT Syllabus is very generalized and vast. The IIMs do not have a fixed syllabus for CAT, but the questions are mostly based on middle school math and english topics.
Here is an overview of the CAT 2023 Syllabus for your understanding:
CAT Syllabus - Sectional Division | Important Topics in CAT |
Geometry, Number System, Modern Math, Arithmetic, Mensuration, Algebra | |
Team Formation, Seating Arrangement, Clocks and Calendars, Venn Diagrams, Bar Graphs | |
Para jumbles, Para-Summary, Long & Short Passages |
As it is said the CAT is one of the most competitive exams there are only a few applicants that can make it to the IIMs. The CAT syllabus consists of Quantitative Aptitude topics such as Geometry, Algebra, etc. which applicants have already covered in high school academics. As the CAT exam is so challenging due to sectional timing it becomes efficient to manage time while solving the questions.
Discover the CAT Shortcut for calculating the square of a 2-digit number with ease. Check out the following explanation:
Step 1: First, Deduct 25 from the number aspirant want to calculate square. This will be the first two digits of the Answer
Step 2: Then, Subtract 50 from the number form in the win which one wants to calculate the square. This will become the last two digits of the Answer. In case of carrying over. So please add the number carry over to the answer derived through the first step.
For Example: Let us try with 63
- Step 1: The difference from 25 is 38
- Step 2: The difference from 50 is 13
- Step 3: Square of 13 is 169
- The answer to Step 1 (first two digits): = 38+1 = 39
- The answer to Step 2 (last two digits): And the last 2 digits of 169= 69
- Hence, the Final Answer is 3969.
CAT Shortcut technique to find a square of 3 digit number mentioned below. Imagine you need to find the square and the number is XYZ. To find XYZ Steps are mentioned below.
Therefore, have a look below to know the trick:
Step 1: The last digit is equal to the Last digit of Square (Z)
Step 2: Second last digit is equal to 2*Y*Z and adds any carryover from Step 1.
Step 3: Third last digit 2*X*Z and add it with Square(Y) and any carryover from Step 2.
Step 4: Fourth the last digit is 2*X*Y will be added with any carryover from Step 3.
Step 5: At the last check Beginning of the result will be Square(X) and will be added with any carryover from Step 4.
For Example: Find the square of 431
(a) Last digit = Last digit of Square (1) = 1
(b) Second last digit = 2*3*1 + any carryover from STEP 1=6+0=6
(c) Third last digit 2*4*1+ Square(3) + any carryover from STEP 2 = 8+9+0 = 17 i.e. 7 with a carryover of 1
(d) Fourth last digit is 2*4*3 + any carryover from STEP 3 = 24+1 = 25 i.e. 5 with a carryover of 2
(e) At last check Beginning of the result will be Square(4) + any carryover from Step 4 = 16+2 = 18Thus, (431)2 = 185761.
CAT Shortcut technique to find the average has been mentioned below. Therefore, Have a look below to know the trick:
Example 1:
The average of a batsman in 16 innings is 30. In the next innings, he is scoring 70 runs. What will be his new average?
Answer through Regular Method: Total runs scored by the batsman in 17 innings: 480+70=550
Total innings played= 17
Hence, the new average = 550/17=32.35
Answer using the Shortcut technique:Step 1: Take the difference between the new score and the old average = 70 – 30= 40
Step 2: 40 extra runs are spread over 17 innings. So, the innings average will increase by 40/17 = 2.35
Step 3: Hence, the average increases by => 30+2.35 = 32.35.
Example 2:
The average marks of 20 girls in a particular school are 50. When a new girl with marks of 80 joins the class, what will be the new average of the class?
Answer using the Shortcut method:Step 1: Take the difference between the new marks and the old average marks = 80 – 50 = 30
Step 2: 30 extra marks are spread over 21 girls. So, the average marks will be increased by: 30/21= 1.43
Step 3: Hence the new average = 50 + 1.43 = 51.43
For example 15 x 107
- 100 should be considered as a base. As it is closer to both the numbers 105 and 107.
- The Product of Surplus. Since the base is considered 100, So surplus is 5 and 7. 5*7=35 (A)
- Either number will be added to either one of the numbers. Like for example either add 105 into 7 or 107 into 5.
- Then it would be equivalent to the number that should be multiplied by 100. Like for instance 112 x 100 = 11,200 (B)
- In last Add (A) + (B) = 11200+35 = 11235. This will become your answer.
This shortcut trick is helpful to solve questions of simple simultaneous equations with numbers. For example
- 6x + 7y = 8, 19x + 14y = 16
- Here, the ratio of coefficients of y is the same as that of the constant terms.
- Therefore, the ‘other’ is zero, i.e., x = 0. Hence, the solution of the equations is x = 0 and y = 8/7.
- Alternatively, 19x + 14y = 16 is equivalent to (19/2)x + 7y = 8.
- Therefore, x has to be zero and no ratio is needed; divide by 2.
- Note that it would not work if both had been ‘in ratio’:
- 6x + 7y = 8
- 12x + 14y = 16
Along with these Vedic Mathematics plays a crucial role in simplifying calculations for the CAT Exam. Having a strong grasp of its principles will provide a unique perspective and reduce the time spent on calculations, making it an advantageous tool for preparing for the CAT 2023.
Reading Comprehension (RCs) is a critical and highly-scored aspect of the verbal section in competitive exams. To excel in these exams, it is necessary to master RCs. A key aspect of successfully tackling RCs is developing the ability to speedread.
On the basis of the above steps, form a quick summary of the passage.
Scanning is effective when you go back to the passage to scout for information or answers. There is an ideal approach for this:
Step 1: Identify the key terms/idea/concept in the questions asked.
Step 2: Go back to the passage and look for those terms in the text. Also, look for words related to the key term in the passage
On the basis of the above steps, you’ll be able to quickly reply to the questions.
Also Read: How to Prepare for VARC with EduRev
DILR (Data Interpretation & Logical Reasoning) section in the CAT exam tests the candidate's ability to interpret data and make logical conclusions based on the given information. This section assesses the candidate's skills in problem-solving, data analysis, and critical thinking. It generally includes questions on bar graphs, pie charts, tables, logical reasoning, and data sufficiency.
Look for significant data; e.g. the highest, the lowest, etc.
Try and group the data. This may require you to use some general knowledge about the world, such as recognizing developed and developing countries
Components:
You must bear in mind that all information given in the graph/table is important. You must read the graph/table carefully; ensuring minor details, like units of quantities, are not overlooked. It is advised that you spend at least 10–15 seconds in the interpretation and understanding of table/ graph.
Co-relation:
In many problem sets, there are two or more tables/graphs given. Before you start solving the questions, you should co-relate the graphs/ tables given and understand their relationship/s and interdependencies.
Choices:
Before solving any question you must always see the choices given. Spending 3-4 seconds to see the choices may reduce the time taken on each question by 40 - 50 seconds. By doing this, you may be able to eliminate one or more options. Keep in mind that even a fraction of a second saved during the exam is worth it.
Calculations:
Try to make use of shortcuts like approximations and remembering important fractions to make calculations work fast and accurately. Intelligent guessing also helps in better time management in the DI section. The time spent on this section may be reduced up to 25 – 50 % by intelligent and smart work.
Along with these Vedic Mathematics plays a crucial role in simplifying calculations for the CAT exam. Having a strong grasp of its principles will provide a unique perspective and reduce the time spent on calculations, making it an advantageous tool for preparing for the CAT 2023.
Using shortcut techniques in the CAT exam will help to solve the questions in the allotted time.
Quantitative Aptitude is considered to be the toughest among all in the CAT exam as the level of difficulty is moderate to difficult.
Yes, there is a negative marking of 1 mark for a wrong answer.
One of the strategies to attempt CAT questions is to start with the easy ones and then move to the difficult and tricky questions. This way, one can easily attempt more questions accurately. It is very important to understand that in CAT exam, accuracy is more important than attempting more questions.
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