We’re back with the strategic plan for Day 7 to continue our journey toward cracking CAT 2024. In this article, we will discuss strategies for the following topics and provide CAT Percentage questions for practice.
Part-1: Quantitative Aptitude for CAT 2024
Topic: Percentage The Percentage is the basic building block of Arithmetic. It is one of the most important topics for the CAT Exam. Here are some Percentage questions for CAT exam below:
The word “Percent” means “per 100” or “out of 100”.
To Ease your preparation for CAT 2024, divide the Percentage in 5 parts as below:
Questions of the type where x% of y is to be calculated
x% of y = xy/100
Ex: 20 % of 30 = 20 * 30/100 = 6
Questions of the type where x is what % of y is to be calculated
x is what % of y = x*100/ y
Ex: 20 is what % of 30 = 20 * 100/30 = 66.66 %
Questions of the type where x is what % more/ less than y is to be calculated
x is what % more/ less than y = (Difference between x and y) * 100/ y
Ex: 20 is what % less than 30 = 10 * 100/30 = 33.33 %
Successive change:
Ex: Price of a commodity is increased by 10% first and then decreased by 5%. Find the net percentage change.
If the initial price is 100 then after the first change value will be 110. Now decrease this value by 5%. The final value after the second change will be 104.5. So, the Net percentage change will be 4.5%.
Such problems are to be dealt with separately.
CAT Percentage Questions From CAT Previous Year Papers
The two Percentage questions from previous year CAT questions on percentage are given below:
Q1. In an examination, the maximum possible score is N while the pass mark is 45% of N. A candidate obtains 36 marks but falls short of the pass mark by 68%. Which one of the following is then correct? [ CAT Question Paper]
243 ≤ N ≤ 252.
N ≥ 253.
201 ≤ N ≤ 242.
N ≤ 200.
Solution: (1)
Passing Marks = 45 % of N = 0.45 N
Also, passing marks = 36 + 68 % of (0.45 N) = 36 + 0.306N
So, 0.45N = 36 + 0.306N
N = 36/0.144 = 250
So, the answer is option 1
Percentage Questions For CAT Exam
Q2. In a class, 60% of the students are girls and the rest are boys. There are 30 more girls than boys. If 68% of the students, including 30 boys, pass an examination, the percentage of the girls who do not pass is [CAT Question Paper 2019, TITA]
Percentage questions for CAT with solutions
Solution: 20%
Let Total Students = 100x
Girls = 60x
Boys = 40x
Difference between girls and boys = 20x = 30
So, Number of boys = 40x = 60
Number of girls = 60x = 90
Total students = 150
Pass students = 68% of 150 = 102 (In which 30 are boys)
Girls who passed the exam = 102- 30 = 72
Girls who didn’t pass = 90- 72 = 18
Percentage of girls who didn’t Pass = 18*100/90 = 20%
Prerequisite to prepare for CAT level Percentage questions:
To prepare for the CAT exam, students must have knowledge of
Tips to Prepare Percentage on CAT preparation
For Ex: 50% of a number is calculated by dividing the number by 2.
33.33 % of a number is calculated by dividing the number by 3.
12.5% of a number is calculated by dividing the number by 8. etc
To find the net Percentage change (In Successive Increase or Decrease), you can use the formula.
Net R% = R1 + R2 + (R1*R2)/100
Take the value of R1 and R2 positive if they are increasing and negative if they are decreasing.
Use Unitary Method.
CAT Percentage questions generally combine more than one topic in the problems and will require you to use some degree of logic to make equations in the problems.
Practice different kinds of problems.
References to Study (Theory):
References to Study (Practice):
Topic: Data Interpretation (Caselets questions for CAT)
In previous articles-Day 6, strategies for DI based on Spider/ Radar Graph have been discussed. In this article, Data Caselets for CAT Data interpretation exam. In the CAT Exam and other management entrance exams, data interpretation is a must-come topic.
A caselet or case study consists of a set of information in the form of a passage. A set of questions based on it were asked.
No tables or graphs are given. You have to read the information to deduce the information and organize the given data to solve the questions.
Example:
Mr Sundar purchased a bike for Rs. 40,500. The bike is also available at Rs. 20,000 down payment and the monthly instalments of Rs. 1400 per month for 2 years or Rs. 16,000 down payment and a monthly instalment of Rs. 1100 per month for 3 years. Mr Sundar has with him Rs. 17,000 only. He took a loan equal to the balance money of the down payment from a private firm. The terms of that private firm are:
If Rs. 4500 is borrowed for a period of 12 months, the rate of interest is 10 %. The interest will be calculated on the whole amount for the whole year itself. Thus, the borrower needs to pay an amount of Rs. 412.5 per month for 12 months, because 4500 is the principal amount + 450 as the interest rate.
If more than Rs. 4500 is borrowed for 1 year, the rate of interest is 20 % and is calculated in exactly the same way as given above.
Questions Based On Caselet/ Case Study From CAT Previous Year Papers/ Data Caselets questions
Comprehension:
Twenty-four people are part of three committees which are to look at the research, teaching, and administration respectively. No two committees have any members in common. No two committees are of the same size. Each committee has three types of people: bureaucrats, educationalists, and politicians, with at least one from each of the three types in each committee. The following facts are also known about the committees:
The numbers of bureaucrats in the research and teaching committees are equal, while the number of bureaucrats in the research committee is 75% of the number of bureaucrats in the administration committee.
The number of educationalists in the teaching committee is less than the number of educationalists in the research committee. The number of educationalists in the research committee is the average of the numbers of educationalists in the other two committees.
60% of the politicians are in the administration committee, and 20% are in the teaching committee.
[CAT Question Paper 2018]
Q1. Based on the given information, which of the following statements MUST be FALSE?
The size of the research committee is less than the size of the administration committee
In the teaching committee the number of educationalists is equal to the number of politicians
The size of the research committee is less than the size of the teaching committee
In the administration committee the number of bureaucrats is equal to the number of educationalists
Solution: (3)
No of Bureaucrats in teaching = No of Bureaucrats in Research = 75% of No of Bureaucracy in Administrative
So, No of Bureaucrats in Research: No of Bureaucrats in teaching: No of Bureaucrats in Administrative = 3: 3: 4
No of Politicians in administration = 60% of total politicians
No of Politicians in teaching = 20% of total politicians
No of Politicians in research = 20% of total politicians
No of politicians in Research: No of politicians in teaching: No of politicians in Administration = 1: 1: 3
| Research | Teaching | Administrative | Total |
Bureaucrats | 3x | 3x | 4x | 10x |
Politicians | Y | y | 3y | 5y |
Educationalist |
|
|
|
|
Possible values for the number of bureaucrats is 10, 20, 30….
(30 is not possible since total number of persons are 24 and 20 is not possible since in each committee there must be 1 politicians and 1 educationalist which will be 6 members at least, so the total will become more than 20)
From here we can say
Research | Teaching | Administrative | Total |
|
Bureaucrats | 3 | 3 | 4 | 10 |
Possible values for number of Politicians is 5, 10 (Not more than 10 since 10 bureaucrats are there)
If politicians were 10 then the number of educationalists will be 4 which cannot be distributed according to the condition (point 2) given.
So, the number of Politicians = 5.
Research | Teaching | Administrative | Total |
|
Bureaucrats | 3 | 3 | 4 | 10 |
Politicians | 1 | 1 | 3 | 5 |
Educationalists |
|
|
| 9 |
According to point (2) given in the question;
Educationalists in research are average of that in the remaining two committees.
Also, The number of educationalists in the teaching committee is less than the number of educationalists in the research committee.
According to this number of educationalists in Research = 3 (Average of 6)
In teaching, educationalists will be either 2 or 1. So,
Research | Teaching | Administrative | Total |
|
Bureaucrats | 3 | 3 | 4 | 10 |
Politicians | 1 | 1 | 3 | 5 |
Educationalist | 3 | 1 or 2 | 5 or 4 | 9 |
Total | 7 | 5 or 6 | 12 or 11 | 24 |
Option 3 is certainly false. Option 2 and option 3 can be true or false.
So, the answer will be (3)
Q2. What is the number of bureaucrats in the administration committee? [TITA - CAT question paper]
Ans: 4
See solution of Q1.
Q3. Which of the following CANNOT be determined uniquely based on the given information?
The total number of bureaucrats in the three committees
The size of the research committee
The size of the teaching committee
The total number of educationalists in the three committees
Ans: (3)
Since two possibilities are there.
Prerequisite:
To Prepare Data Interpretation (Caselet) for the CAT 2024, students must learn
Tips to Prepare DI (Caselet) for CAT Preparation
Convert Caselet into tables or other simpler forms of data representation.
Use notations for names of things, people or places while solving the question.
Solve small calculations mentally.
Not down the important points separately.
References to Study (Theory):
References to Study (Practice):
Part-3: CAT VARC preparation of prepositions
Topic: Prepositions and its Uses
Prepositions are one of the entities in English grammar to define the relation between nouns and pronouns along with an object to form a meaningful sentence.
Basic Prepositions: Prepositions that indicate time, direction, location etc.
Example: in, at, on, under, since, over, off, etc
Prepositions using participles: These can be made using ‘ed, ing’ etc.
Example: during, regarding
Phrase Prepositions: It defines the connection of an object with the object modifier.
Example: after dawn, etc
Practice Questions on prepositions to prepare for CAT Exam/ CAT VARC questions
Direction: Choose the correct preposition
Q1. What is the time __ your watch?
In
By
On
At
Ans. B
Q2. I will meet you __ airport/ bus station/ railway station.
At
In
Besides
Nearby
Ans. a
Q3. He entered __ the room.
Into
onto
in
No preposition required
Ans. d
Q4. The car was parked__ the shade of a tree.
Under
On
In
No preposition required
Ans. c
Q5. I have worked in academics __ 6 years.
For
Since
Of
From
Ans. A
Prerequisite to prepare for CAT VARC questions ( CAT VARC preparation of prepositions) :
Tips to Prepare Prepositions and its Uses for CAT 2024
Give special attention to confusing prepositions like beside, besides, etc.
Develop the habit of reading so that one can become aware of word collocation. For example- scared of, aware of, etc
Practice error-based questions daily.
Read newspapers so that you will get more clarity about the uses of prepositions.
References to Study (Theory) for CAT preparation:
References to Study for CAT exam preparation (Practice)