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Beyond Basics: CAT Exam Hacks for Sentence Correction, Average, Intro to Distribution based puzzles - Day 22

Beyond Basics: CAT Exam Hacks for Sentence Correction, Average, Intro to Distribution based puzzles - Day 22

Edited By Irshad Anwar | Updated on Sep 29, 2023 09:31 AM IST | #CAT

Hello CAT 2023 aspirants,

On November 26, the CAT exam 2023 for MBA admissions 2024–2026 will take place. In this CAT 2023 60-day preparation guide series of Careers360, we are going to discuss the strategies of day 21 that can help you prepare well and crack the CAT entrance test 2023.

This article covers quantitative aptitude for CAT, DIRL and VARC sentence correction sessions. Students are recommended to go forward with this and practise a little more. Many aspirants also refer to books such as Quantitative books for CAT to learn and practise more regarding the subject. These Average mixture and alligation CAT questions are good for the aspirants to understand about the usage of Averages. Aspirants can also refer to average questions for CAT pdf.

Beyond Basics: CAT Exam Hacks for Sentence Correction, Average, Intro to Distribution based puzzles - Day 22
Beyond Basics: CAT Exam Hacks for Sentence Correction, Average, Intro to Distribution based puzzles - Day 22

CAT Preparation 2023 in 60 days

Part-1: CAT 2023 QA Preparation Tips (Quantitative Aptitude for CAT)

CAT Exam Important Topic: Average (Algebra)

The average or mean is calculated by the sum of observations divided by the number of observations.

Simple Average/ Simple Mean (X) = (x1+x2+x3+…+xn)/n; x1, x2, x3, ………, xn are n observations.

Weighted Average/ Weighted Mean

1695959651839i.e x1, x2, x3, ………, xn are n observations. w1, w2, ……., wn are their respective weightages.

Some tricks and approaches for CAT exam Preparation:

Average questions for CAT:

  1. Difference between the persons added and who left = change in average x number of persons. When a person joins the group of n persons; if the average increases then the Age of the new person = Old average + (n+1) x difference between averages

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If the average decreases then:

Age of the new person = Old average - (n+1) x difference between averages

  1. The average of an AP of odd terms is always its middle term.

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  1. In the general case, the Average of an AP is the Average of its first and last term.

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  1. Average of an AP of even terms is the average of its two middle terms.

  2. When a person replaces another person then the average age of the group will be increased or decreased.`

CAT Questions from Averages (based on PYQs)

CAT average Questions

Q1. Ramesh and Gautam are among 22 students who write an examination. Ramesh scores 82.5. The average score of the 21 students other than Gautam is 62. The average score of all 22 students is one more than the average score of the 21 students other than Ramesh. The score of Gautam is [CAT exam 2019, TITA]

Solution:

Score of Gautam =x (say)

According to given condition

Total marks of 22 students = 21*62 +x

Average score of 22 students = (21*62 +x)/22

According to second condition

The average score of all the 22 students is one more than the average score of the 21 students other than Ramesh,

So, (21*62 +x)/22 = (21*62 +x – 82.5)/21 + 1

(21*62 +x)/22 -1 = (21*62 +x – 82.5)/21

(21*62 + x -22)/22 = (21*62 +x – 82.5)/21

On solving x =51

Score of Gautam is 51.

Q2. Last year, the average age of the class of 25 students was 13 years. If the age of the class teacher was included, the new average of the class became 14 years. Exactly a year later (i.e. this year), the class teacher leaves the school and if the age of the new class teacher is included, then the new average of the class this year becomes 14.5 years. Find the age of the new class teacher. [CAT exam PYQ]

  1. 27

  2. 41

  3. 43

  4. 67

Solution

Present average of 25 students = 14 years

Total age of 25 students = 25 x 14 = 350

Average (including new class teacher) = (350 + Age of new teacher)/ 26 = 14.5

On solving age of new teacher = 27 years

Prerequisite:

  • Arithmetic Progression, Geometric Progression

  • Arithmetic Mean and Geometric Mean

  • Knowledge of Linear Equations

CAT Exam 2023 Preparation: Tips to solve CAT questions on Averages

To begin your CAT preparation, go through these steps in order.

  1. At the initial stage of preparation for CAT 2023, try to solve at least 4 to 5 questions on averages to check your understanding of the concept.

  2. Get familiar with the fundamentals of average and weighted average.

  3. Try some basic questions on averages. (Probably level of difficulty 1)

  4. Once you have figured out the basics, you can move on to more difficult problems by learning some shortcuts and special cases.

  5. Start to solve difficult problems from the books which are suggested in this article.

CAT syllabus 2023: References for Study; CAT Aptitude books (Theory)

  • How to Prepare Quantitative Aptitude by Arun Sharma (7th edition)

  • Handa Ka Funda CAT Exam Prep

  • Mission CAT (YouTube)

CAT syllabus 2023: References to Study (Practice)

  • R S Agrawal for quantitative aptitude

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

  • Previous Years Question Papers

Part 2: CAT 2023 Preparation Tips: CAT DILR questions (CAT Logical Reasoning questions and Data Interpretation)

CAT 2023 Syllabus Topic: Problem Solving/Puzzle (Distribution)

The following concepts are used in distribution-based puzzles:

  • Distribution of objects among persons/places

  • Arrangement of persons based on some parameters like height, rank, weight, etc.

CAT preparation: Importance of puzzles based on distribution:

  • Puzzles on distribution are used as an effective tool for learning.

  • It carries a good weightage in CAT Exam as seen in CAT previous year papers.

  • Help a person in solving real-life situations.

CAT Previous Year Questions: Puzzles based on Distribution

Comprehension:

Adriana, Bandita, Chitra, and Daisy are four female students, and Amit, Barun, Chetan, and Deb are four male students. Each of them studies in one of three institutes - X, Y, and Z. Each student majors in one subject among Marketing, Operations, and Finance, and minors in a different one among these three subjects. The following facts are known about the eight students:

Three students are from X, three are from Y, and the remaining two students, both female, are from Z.

Both the male students from Y minor in Finance, while the female student from Y majors in Operations.

Only one male student majors in Operations, while three female students minor in Marketing.

One female and two male students major in Finance.

Adriana and Deb are from the same institute. Daisy and Amit are from the same institute.

Barun is from Y and majors in Operations. Chetan is from X and majors in Finance.

Daisy minors in Operations. [CAT exam 2018]

Q1. Who are the students from Institute Z?

  1. Adriana and Bandita

  2. Adriana and Daisy

  3. Chitra and Daisy

  4. Bandita and Chitra

Q2. Which subject does Deb minor in?

  1. Marketing

  2. Operations

  3. Cannot be determined uniquely from the given information

  4. Finance

Q3. Which subject does Amit major in?

  1. Cannot be determined uniquely from the given information

  2. Marketing

  3. Finance

  4. Operations

Q4. If Chitra majors in Finance, which subject does Bandita major in?

  1. Cannot be determined uniquely from the given information

  2. Marketing

  3. Operations

  4. Finance

Solution:

Form a table from the given information to better understand the problem as below:






Name of Student

Gender

Institute

Major

Minor

Adriana

Female

Same as Deb



Bandita

Female




Chitra

Female




Daisy

Female

Same as Amit


Operations

Amit

Male

Same as Daisy



Barun

Male

Y

Operations


Chetan

Male

X

Finance


Deb

Male

Same as Adriana



# Bandita and Chitra must be from Z. Since two females are from Z. So, this is the only possibility.

# Three females are Minor in Marketing. So, Adriana, Bandita and Chitra must minor in Marketing.

# Daisy must not be from Y Since females from Y must have a major in Operation but Daisy is a minor in Operations. Therefore, Adriana must be from Y and So Deb does.

Bandita and Chitra must be from X.

# Female from Y i.e. must have a major in Operation. And males from Y have a minor in Finance.

# Two male students major in Finance. Deb cannot be that one since He is a minor in Finance. So, Amit should be Majoring in Finance.

Name of Student

Gender

Institute

Major

Minor

Adriana

Female

Same as Deb (Y)

Operations

Marketing

Bandita

Female

Z


Marketing

Chitra

Female

Z


Marketing

Daisy

Female

Same as Amit (X)


Operations

Amit

Male

Same as Daisy (X)

Finance


Barun

Male

Y

Operations

Finance

Chetan

Male

X

Finance


Deb

Male

Same as Adriana (Y)


Finance

From the given information, the table will look like as shown.

Ans 1: (4)

Ans 2: (4)

Ans 3: (3)

Ans 4: (3) If Chitra does major in Finance then Bandita must major in Operations since only one female can do a major in Finance.

Prerequisite:

  1. Knowledge of the basics of

  • Ranking

  • Direction Sense

  • Blood Relation

  1. Knowledge of Linear and Circular Arrangement.

CAT Exam 2023 Preparation: Tips to solve CAT questions Puzzles based on distribution:

Following are some tips and tricks to solve the puzzles based on distribution:

  • Read each and every piece of information carefully.

  • Note down important clues and information in short form.

  • Form tables to mark the possibilities.

  • Eliminate the wrong possibilities.

  • Make pairs of related information.

  • Use the least information at last.

  • Solving more and more puzzles will help you to build your concept.

CAT syllabus 2023: References to Study (Theory)

  • Verbal and Non-Verbal Reasoning by R S Aggarwal. (Basic)

  • ELITES GRID for CAT (YouTube Channel)

CAT syllabus 2023: References to Study (Practice)

  • Verbal and Non-Verbal Reasoning by R S Aggarwal. (Basic)

  • LRDI for CAT and GMAT by Nishit K Sinha. (Advance)

  • Previous Years Question Papers

Part-3: CAT Exam Preparation 2023: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)

CAT Exam Important Topic: To solve Problems on Sentence Correction.

Problems of sentence correction involve errors based on

  • Wrong use of Tenses

  • Wrong uses of Articles, Propositions

  • Wrong use of Subject-Verb agreement

  • Error of Repetition

  • Error in the choice of phrases/ Words

CAT Exam Practice Questions on Sentence Correction

CAT questions for sentence correction

Q1. There is no more room for you in this compartment. [IPMAT 2020-IPM Rohtak]

  1. there is no more seat

  2. there is no more space

  3. there is no more accommodation

  4. No improvement

Ans: (4) No correction required

Q2. The place where her father disappeared and the reason why he did are unknown to her. [IPMAT 2020]

  1. her father disappeared and the reason why he did

  2. where her father disappeared and the reason he did

  3. her father disappeared and the reason he did

  4. where her father disappeared and the reason why he did

Ans: (2) words ‘reason’ and ‘why’ both should not be used there.

Q3. The Municipal Council can no longer wash its hands off its responsibilities. [IPMAT 2020]

  1. wash its hands from its

  2. wash their hands off their

  3. wash their hand of their

  4. wash its hands of its

Ans: (2) Council will have more than one person so ‘their’ should come in place of ‘its’.

Q4. Though disposing of nuclear waste remains a concern, nuclear plants are often subsidized because of the steady, carbon-free power provided. [Based on CAT PYQ]

  1. off nuclear waste remains a concern, nuclear plants are often subsidized because of the steady, carbon-free power provided.

  2. of nuclear waste remains a concern, nuclear plants are often subsidized because of the steady, carbon-free power they provide.

  3. off nuclear waste remains a concern, nuclear plants are often subsidized because of the steady, carbon-free power they provide.

  4. No correction required

Ans: (2) ‘disposing of’ is the correct use of phrasal verbs. So, 1 and 3 cannot be the answer.

The verb should be in accordance with the subject and the subject here is ‘nuclear plants. The verb ‘provided’ should be replaced with ‘they provide’.

Prerequisite:

  • Noun, Pronoun, Verb

  • Tenses

  • Articles, Prepositions

  • Subject- Verb Agreement

CAT Tips and Tricks to Solve Problems in Sentence Correction:

  • Look out for time indicators (before, after, ago, while etc) to check whether the correct form of the verb is used.

  • Find the best option by examining each one.

  • To find the error in underlined part, pay attention to the non-underlined part.

  • If you find two choices correct then choose the shorter choice.

  • Substitute the selected choice in the place of underlined part and check whether it makes sense or not.

  • Use the elimination technique.

  • Attempt CAT sample papers.

CAT Syllabus 2023: References to Study (Theory)

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

  • CAT Edurav (Youtube Channel)

CAT Syllabus 2023: References to Study (Practice):

  • Mastering the verbal ability for CAT by Ajay Singh

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

  • Practice Sample Question Papers.

We will be back with Day 23 of the CAT exam preparation guide 2023 for 60 days tomorrow. Do practice and be focused.

Thank you

All the best!

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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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