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CAT Preparation Strategy on Quant (QA), DI, VA and LR - Day 1

CAT Preparation Strategy on Quant (QA), DI, VA and LR - Day 1

Edited By Irshad Anwar | Updated on Sep 04, 2023 08:14 PM IST | #CAT

Number system for CAT Exam: Practising Number systems is one that every MBA aspirant should prepare for thoroughly. It's considered to be a vast topic that needs thorough revision alongside other Quants topics. The Number system questions for CAT exam scores about 5% of the total weightage for quants in the CAT Entrance Exam. Many CAT aspirants regard how many questions from the Number system in CAT are there. According to the previous year's question papers, about 1-2 expected questions are there from the number system in CAT each year. This article is part of the CAT exam 60-day preparation strategy. Candidates appearing for the CAT can refer to this article and the others in the series to enhance their basics of number system questions for the CAT exam.

What are numbers?

A number is referred to as a mathematical value which represents a certain quantity. The classification of the Number system is as follows: real numbers, imaginary numbers, irrational numbers, integers, whole numbers, and natural numbers.

The number system is one important topic that comes up in QA questions for the CAT exam. To prepare for number system questions for the CAT exam, the topic has been segregated into five parts as given below in CAT questions on number system:

  • Classification of numbers, Base System, Decimal to fraction converter
  • Unit digits and the last two digits
  • Divisibility and Remainders
  • Factors and Trailing Zeroes
  • HCF and LCM

Careers360 has prepared a 60-day series for CAT preparation for students for the above-mentioned topics to discuss various examples and practice problems. This article includes the discussion of topics of classification of numbers, fractions to decimals examples, Decimal to fraction CAT questions, and base systems concepts and questions for CAT exam, as well as CAT practice questions on number systems.

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Previous Year CAT questions on the Number system

Question 1: Let m and n be natural numbers such that n is even and 0.2 < m20, nm, n11< 0.5. Then m - 2n equals

[CAT Question Paper 2020].

  1. 4

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  1. 1 - Correct answer

  1. 3

CAT questions number system

Solution:

0.2 <m20, n / m, n11 < 0.5

1 / 5 < m20, n / m, n / 11 < ½

Solve these one by one:

1 / 5 < m20 and m20 < ½

So, m> 4 and m <10

Therefore, possible values of m = 5, 6, 7, 8, 9

Now, 1/5 < n11 and n11 < ½ and n is even

So, n > 115 and n < 112

Therefore, a possible value of n is 4 (since 4 is the only even natural number between 11/5 and 11/2)

Since n/m > 15and n/m < 12

n/m <½ .

Since n is 4, m should be greater than 8 to satisfy the condition.

Therefore, m = 9.

ANS. m- 2n = 9- 2 x 4 = 1

Question 2: Convert the number 1982 from base 10 to base 12. The result is?

(CAT Question Paper 2000)

  1. 1182
  2. 1912
  3. 1192 - Correct answer
  4. 1292.

Solution: C

For that, divide 1974 by 12 as shown:

Divisor

Quotient

Remainders

12

1982


12

165

2

12

13

9

12

1

1


0

1

Write the remainder from bottom to top.

ANS. So, in base 12, 1982 is 1192.

Prerequisite to CAT preparation for number systems

Here are some must-learn topics for students to do thoroughly while preparing for CAT:

  • Tables up to 30
  • Squares up to 30
  • Cubes up to 20
  • Prime numbers until 100.
  • Knowledge of Fractions

How to prepare for Number Systems (Basics)?

  1. Learn the classification of numbers (Natural, Whole, Integers, Prime, Composite, Co-prime, etc.). NCERT books (9-10th standard) are the best guides for this.

  2. Apply the concepts to number system questions.

  3. Learn Base systems and conversions from numbers in one base system to another. For example, fractions to decimals questions, how to remove decimal points in fractions, how to convert numbers to fractions, and number system questions, and answers.

  4. Practice the previous year's CAT questions on the number system.

Easy tips and formulae for number systems:

  1. Following are some useful tips and CAT formulas on Number system that can help in your preparation:

  • The sum of a two-digit number and a number formed by reversing its digits is divisible by 11. E.g., 24 + 42 = 66, this is divisible by 11.

    • At the same time, the difference between those numbers will be divisible by 9. e.g., 42- 24 = 18, this is divisible by 9.

  • ∑n = n(n+1)/2, ∑n is the sum of the first n natural numbers.

  • ∑n2 = n(n+1)(2n+1)/6, ∑n2 is the sum of the perfect squares of the first n natural numbers.

  • ∑n3 = n2(n+1)2/4 = (∑n)2, ∑n3 is the sum of the perfect cubes of the first n natural numbers.


  1. Learn Recurring and Non- Recurring decimal numbers and their conversion to fractions.
    Number of the form of 0.a = a9

    Eg. 0.77777…. = 79
  • Number in the form of 0.ab = ab99
    Eg. 0.73737373….. = 7399
    0.343343343…. = 343999

  • Number of the form of 0.0a = a90
    Eg. 0.07777….. = 790

  • Number of the form of 3.0a = 3 + a90

References to practise number systems questions for CAT exam

Resources and Books for number systems (theory)

Books for practice - number systems

NCERT Class 9 and Class 10 Mathematics

Master Number System for CAT and GMAT by Nishit K. Sinha

A Quantitative Approach for CAT by Arun Sharma

Question bank from CAT-Holic

2iim YouTube Channel

CAT previous year papers


DI for CAT 2023

Data interpretation is a must-know topic for CAT Exam and other MBA entrance exams. Data interpretation tests your analytical skills and your observational skills to deduce the useful information, and apply it to solve the given questions. DI for CAT can be studied in parts such as Bar Graph, Pie Chart, Line Graph, Tables, Case Lett, Spider, and Miscellaneous.

Examples of Bar graph with questions

Q. Examine the graph below carefully and answer the following questions. The graph depicts the results of a school’s students.

1693836873789

  1. Which year has the smallest difference between the number of kids who passed and those who failed?
  2. In the last five years, what was the average number of kids who failed in school?
  3. How many times have the same number of kids failed?

Solution:

(a) The number of pupils who passed versus those who failed for the respective years are given below:

1991-1992 = 150-100 = 50

1992-1993 = 200-100 = 100

1993-1994 = 300-50 = 250

1994-1995 = 250-100 = 150

As a result, the difference in 1991-1992 is minimal.

(b) From the bar graph, we can observe that.

The total number of students failed = 100 + 100 + 50 + 100 + 100 = 450

Hence, average = 450/5 = 90

(c) According to visual observation, the number of failed students in 1991-1992, 1992-1993, 1994-1995, and 1995-1996 is the same. As a result, the answer is four.

DI based on Bar Graph for the CAT exam.

Bar graphs are the pictorial representation of data (generally grouped), in the form of vertical or horizontal rectangular bars, where the length of bars is proportional to the measure of data. They are also known as bar charts As per previous year question papers for CAT about 3-4 questions are expected related to Bar Graph questions for CAT which come in exams.

Questions On Bar Graph From CAT Previous Year Papers

1693836874598

Revenue shares of Tech Companies

Question 1: In 2001, the company that grew the quickest grew by 100%. What was the growth rate of the company that had the least growth rate?

  1. 50%

  1. 25%


  1. 20%


  1. 33% - correct answer

Solution for question 1:

Let the total revenues of the entire industry be 100X in 2000 and 100Y in 2001.

Company

Share in 2000 (approx.)

Share in 2001 (approx.)

Share in 2001: Share in 2000

FINY

22.9x

21.1y

21.1y:22.9x

PRIWO

17.1x

19.3y

19.3y: 17.1x

SCT

25.7x

21.1y

21.1y: 25.7x

GOCN

14.3x

14y

14y:14.3x

BIM

8.6x

10.5y

10.5y: 8.6x

CENTURE

11.4x

14y

14y: 11.4x

The company that grew the quickest would be the one that had the maximum ratio of 2001 revenue share to 2000 revenue share. Only the shares matter, X's and Y's do not matter.

Clearly, CENTURE saw the highest ratio and hence the highest growth, which is equal to 100%, and for that share in 2001: share in 2000 = 2: 1 (for CENTURE).

So, 14y/ 11.4x = 2/1

So, y/x = 11.4/7

The company that saw the least ratio, and hence the least growth rate, is SCT.

Share in 2001: Share in 2000 = 21.1y/25.7x = (21.1/25.7) * (11.4/7) = 1.33

ANS. So, the percentage change is 33%.


Question 2: In 2002, the growth rate of the overall sector was 39%. What was the growth rate seen by SCT?

  1. 50% - correct answer

  1. 75%

  1. 30%

  1. 40%

Solution for question 2:

Let Revenue in 2001 is 100

Then Revenue in 2002 was 139.

Share of SCT in 2001 = 21.1 % of 100 = 21 (Approx)

Share of SCT in 2002 = 22.8 % of 139 = 32 (Approx)

Percentage Change = 11*100/21 = 52% = 50% (Approx)


Question 3: Total revenue in 2006 was $21.2 bn, and total revenue in 2005 was $18.1 bn. What was the growth rate seen in Centure?

  1. 11%
  2. 35%
  3. 20% - correct answer
  4. 27%

Solution for question 3:

Growth rate = (8.5% of 21.2- 8.3% of 18.1) *100/18.1 = 20% (approx.)

ANS. The answer is Option C.

Prerequisite:

Here are some must learn topics for students to do thoroughly while preparing for CAT:

  • Tables up to 30

  • Squares up to 30

  • Cubes up to 20

  • Basics of Percentage

  • Must know to find averages

CAT preparation Tips - DI (Bar Graph):

  1. Learn the basics of simplification and approximation

  2. Practise and learn to solve percentages quickly

  3. Do small calculations mentally

  4. Learn the basics of bar graphs

  5. Understand the components on both axes

  6. Interpret the necessary data requirements

References for CAT DI

Theory

Practice

RDI for CAT and GMAT by Nishit K Sinha

Data Interpretation for CAT by Arun Sharma

Class 9 and Class 10 Mathematics NCERT for basics of bar graphs

CAT previous year papers and sample papers

2iim YouTube Channel

Question bank from CAT-Holic


CAT 2023 Preparation for VARC: Noun Questions for CAT Exam

In the Verbal Ability and Reading Comprehension section, 24 questions are included among which 19 questions are Non-MCQ questions. The Reading Comprehension questions are the majority ( 80%). CAT english practice questions are important as sometimes students are very overconfident that they can solve the questions but they couldn’t, so thorough practice is a must.

What are nouns?

Nouns are a part of speech that comprise words that are used to name people, places, animals, objects, and ideas. Nouns can act as the subject, an indirect object, a direct object, a subject complement, and an object complement.

Instructions: Q.1 to 2 In each question, there are four sentences or parts of sentences that form a paragraph. Identify the sentence(s) or part(s) that is/are incorrect in terms of grammar, including, spelling, punctuation, and usage. Pick out the most appropriate option, out of the options that follow the question.

Question 1:

  1. Either the parents or the child are going to talk.
  2. to the principal on this issue, and I find many reasons
  3. Why I can't help the child; please excuse me now as the principal
  4. accompanied by the teachers, has to go to the auditorium.

Answer:

A- Either parent of the child is going to talk- verb will follow the latter noun (subject);

C- why I can't help the child. "W" cannot be capital in the middle of a sentence.


Question 2:

  1. Neither the high profile Manager nor the staff members were able
  2. to calm the distressed customer. On the top of it, the
  3. The working team at this FDI-funded store is always
  4. fighting among themselves.

Answer:

A - Manager - here "M" should not be in capital.

C - “The” is repeated and is not needed here

Tips On CAT Preparation for Verbal Ability (Noun):

  1. Understand what nouns are and how they are used, where they are used.

  2. Know the rules to follow while using nouns.

  3. Practice exercises from Wren and Martin

References for CAT 2023 (Nouns)

  1. Wren and Martin

  2. 2iim YouTube Channel

  3. Advanced English Grammar by Martin Hewings

  4. The Pearson Guide to Verbal Ability and Reading Comprehension for CAT by Nishit Sinha (2020)

  5. Question bank from CAT-Holic

Above tips and tricks can be used by students to kick start their CAT preparations.

Move next to CAT Preparation Strategy Day 2 to cover Unit Digit And Last Two Digit, Pie Graphs and Pronouns.

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Questions related to CAT

Have a question related to CAT ?

Hello aspirant,

A bachelor's degree from an accredited university with a CGPA of at least 50% (or an aggregate of 45% for the SC, ST, and PwD/DA categories) is required in order to appear in the CAT exam in 2024. Duration and manner of degree: The course needs to last three years. The mode might be online, distant, or regular.

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Thank you

Hope this information helps you.

Hello student

As a self-employed individual with your own cafe, you'll need to provide documents that establish your business and work experience. Here are some documents you can prepare for your CAT application:


1. *Business Registration Documents*:

- Partnership Deed (already have)

- Business PAN Card (already have)

- FSSAI License (already have, though it's in your partner's name)

2. *Proof of Business Ownership*:

- Affidavit or declaration stating your ownership and role in the cafe

- Business registration certificate (if you have one)

3. *Proof of Work Experience*:

- A letter or certificate from your partner or co-owner confirming your work experience and role in the cafe

- A detailed resume highlighting your entrepreneurial journey and responsibilities

4. *Financial Documents*:

- Income Tax Returns (ITRs) for the last 2-3 years (if applicable)

- Balance Sheets and Profit & Loss statements for your cafe (if audited)

5. *Rental Agreement*:

- Already have, but ensure it's updated and signed


Additional tips:


- Ensure all documents are scanned and uploaded in the required format (usually PDF or JPEG)

- Keep your documents organized and easily accessible for the application process

- Be prepared to provide additional information or clarification if requested by the admission authorities


Remember to check the specific requirements for each B-school you're applying to, as they may vary. Good luck with your CAT application!

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

It seems unlikely that you would be able to get admission in the BTech CS branch at BIT Sindri or Mesra with a CML rank of 2058 and category rank of 433.

Key points:

1. The search results indicate that a CML (Common Merit List) rank of 2058 is quite low for admission to premier engineering colleges like BIT Sindri or NIT Mesra.

2. The cutoff ranks for BTech CS branch at these institutes are usually much higher, often in the range of 1000-2000 for the general category.

3. With a category rank of 433, you may have a better chance of getting admission in the reserved category quota, but the competition is still quite high.

4. The search results do not provide specific cutoff details for BIT Sindri or NIT Mesra, but the general trend suggests your current ranks may not be sufficient for the CS branch in these institutes.

My advice would be to:

1. Check the latest cutoff ranks and admission criteria on the official websites of BIT Sindri and NIT Mesra.

2. Explore other options like state-level engineering colleges or NITs where your current ranks may have a better chance of securing admission.

3. Consider improving your performance in the next attempt of the entrance exam to increase your chances of getting into your desired BTech program.



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.

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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