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CAT Excellence Unlocked: Master Percentage, Caseletts, and Prepositions for Success-Day 7

CAT Excellence Unlocked: Master Percentage, Caseletts, and Prepositions for Success-Day 7

Edited By Irshad Anwar | Updated on Sep 13, 2023 09:21 AM IST | #CAT

In the previous article, we discussed the strategy on how to prepare HCF, LCM (number system), spider (data interpretation), and articles on Day 6 of CAT preparation on the basis of the CAT syllabus along with CAT percentage questions. We have covered a major part of the number system for CAT along with number system CAT questions. CAT percentage questions are quite average but can get tricky at the same time. About 1-2 questions are expected from percentages from number system.

CAT Excellence Unlocked: Master Percentage, Caseletts, and Prepositions for Success-Day 7
CAT Excellence Unlocked: Master Percentage, Caseletts, and Prepositions for Success-Day 7

We are back with the strategic plan for Day 7 to proceed with our preparation to crack CAT 2023. In this article, we will be discussing strategies for the following topics, and CAT percentage questions are given for practice.

Part-1: Quantitative Aptitude for CAT 2023

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 2023, divide the ‘CAT percentage questions’ in 5 parts as below:

  1. 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

  1. 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 %

  1. 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 %

  1. 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.

  • Expenditure-based questions

  • Election-based problems.

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]

  1. 243 ≤ N ≤ 252.

  2. N ≥ 253.

  3. 201 ≤ N ≤ 242.

  4. 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 percentages for the CAT exam, students must have knowledge of

  • Fractions

  • Ratios

  • Simplification and Approximation

Tips to Prepare Percentage on CAT preparation

  • Learn the percentage to fractions conversion to solve the questions quickly.

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):

  • Quantitative Aptitude book by Abhijit Guha.

  • 2iim Online Learning Classroom

References to Study (Practice):

  • Arun Sharma: A Quantitative Approach for CAT (6th Edition)

  • https://iim-cat-questions-answers.2iim.com

  • CAT previous year papers

Part-2: Logical Reasoning and Data Interpretation

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?

  1. The size of the research committee is less than the size of the administration committee

  2. In the teaching committee the number of educationalists is equal to the number of politicians

  3. The size of the research committee is less than the size of the teaching committee

  4. 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?

  1. The total number of bureaucrats in the three committees

  2. The size of the research committee

  3. The size of the teaching committee

  4. 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 2023, students must learn

  • Percentage (Basic)

  • Average

  • Observational Skills

  • Venn Diagram

  • Profit And Loss (Basic)

  • Interest (Basic)

  • Ratio

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):

  • LRDI for CAT and GMAT by Nishit K Sinha.

  • ‘Feel Free to Learn’ (YouTube Channel)

References to Study (Practice):

  • https://www.mockat.com/ (free Mock Test)

  • How to Prepare for Data Interpretation for CAT by Arun Sharma

  • CAT previous year papers

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.

  1. Basic Prepositions: Prepositions that indicate time, direction, location etc.

Example: in, at, on, under, since, over, off, etc

  1. Prepositions using participles: These can be made using ‘ed, ing’ etc.

Example: during, regarding

  1. 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?

  1. In

  2. By

  3. On

  4. At

Ans. B

Q2. I will meet you __ airport/ bus station/ railway station.

  1. At

  2. In

  3. Besides

  4. Nearby

Ans. a

Q3. He entered __ the room.

  1. Into

  2. onto

  3. in

  4. No preposition required

Ans. d

Q4. The car was parked__ the shade of a tree.

  1. Under

  2. On

  3. In

  4. No preposition required

Ans. c

Q5. I have worked in academics __ 6 years.

  1. For

  2. Since

  3. Of

  4. From

Ans. A

Prerequisite to prepare for CAT VARC questions ( CAT VARC preparation of prepositions) :

  • Basic Knowledge of Sentence Structure.

  • Basic Knowledge of Phrases.

Tips to Prepare Prepositions and its Uses for CAT 2023

  • 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:

  • How to Prepare for Verbal Ability & Reading Comprehension for CAT by Meenakshi Upadhyay and Arun Sharma (9th Edition)

  • engvid.com (You Channel)

References to Study for CAT exam preparation (Practice)

  • engvid.com (Web)

  • Oxford Practice Grammar (sixth edition)

  • We will be back with the Day-8 strategy tomorrow. Stay focused and keep practicing.

Thank You

All the best.

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Questions related to CAT

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Hello aspirant,
The CAT exam syllabus is not officially prescribed, but it generally includes topics from the following sections:

1. Verbal Ability and Reading Comprehension (VARC)
2. Data interpretation and logical reasoning
3. Quantitative ability

  • Arithmetic

  • Algebra

  • Geometry and Mensuration

  • Number System

  • Modern Math

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For VARC, read daily from diverse sources (newspapers, novels, journals) to improve comprehension and vocabulary. Practice RC passages and verbal ability questions regularly. For DILR (Data Interpretation and Logical Reasoning) and QA (Quantitative Aptitude), solve previous years' papers and take mock tests to identify weak areas. Join a coaching institute or online courses for guidance and stay consistent with your study schedule. Review and analyze your performance in mocks to understand mistakes and improve. Maintain a positive mindset and stay disciplined in your preparation.

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View All

1-radian measures 600. (True/False)

Option: 1

True


Option: 2

False


$111111^2$ = 

Option: 1

123456654321


Option: 2

123454321


Option: 3

123454321


Option: 4

12345654321


1111112 =___________ 

Option: 1

 123456654321


Option: 2

1234554321


Option: 3

123454321


Option: 4

12345654321


159702 is divisible by

Option: 1

7


Option: 2

9


Option: 3

11


Option: 4

6


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

What best can be said about the number of satellites serving C? 

Option: 1

Must be between 450 and 725 

 


Option: 2

Cannot be more than 800 
 


Option: 3

Must be between 400 and 800 

 


Option: 4

Must be at least 100 


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

What is the minimum possible number of satellites serving B exclusively? 

Option: 1

100


Option: 2

200


Option: 3

500


Option: 4

250


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S? 

Option: 1

At most 475 

 


Option: 2

Exactly 475 
 


Option: 3

At least 475 

 


Option: 4

No conclusion is possible based on the given information 


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

 If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE? 

Option: 1

The number of satellites serving C cannot be uniquely determined 

 


Option: 2

The number of satellites serving B is more than 1000 
 


Option: 3

All 1600 satellites serve B or C or S 

 


Option: 4

The number of satellites serving B exclusively is exactly 250 


2839155 is divisible by

Option: 1

2


Option: 2

7


Option: 3

55


Option: 4

None of the above


'a' for which x^{2}-ax+9= 0 can be written as square of a linear factor is

Option: 1

6


Option: 2

-6,6


Option: 3

\left ( 6,\infty \right )


Option: 4

\left ( -\infty,-6 \right )


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