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Ace Time, Speed, and Distance with Understanding Decision-Making puzzle sets and Active-Passive Voice - Day 30

Ace Time, Speed, and Distance with Understanding Decision-Making puzzle sets and Active-Passive Voice - Day 30

Edited By Irshad Anwar | Updated on Oct 09, 2023 12:27 PM IST | #CAT

Hello aspiring CAT 2023 candidates, 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 will discuss the strategies for day 30 that can help you prepare well and crack the CAT entrance test 2023.

This article includes time and distance questions, Decision making questions of DILR, and active and passive voice for VARC preparation strategies and understanding their concepts properly. CAT Preparation 2023 in 60 days

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

Time and distance questions are a must and come most of the time in exams. Aspirants are recommended to go through this topic properly and prepare well. The questions can be like time and distance basic questions or speed and distance advanced questions.

CAT Exam Important Topic: Strategy to Prepare “Basics of Time, speed and Distance” and time and distance questions for CAT-2023

Time and distance questions for competitive exams are some of the most important topics to focus on. The time speed and distance questions need proper clarity of concepts and formulas and also knowledge on how to solve the following questions.

CAT Syllabus 2023: Important Concept/Formula Used in Time, Speed and Distance Questions

  1. Speed = Distance/ Time
  2. Concept of proportionality
    1. S1/S2= T2/T1, when distance is fixed

    2. S1/S2= D1/D2, when time is fixed
      S2, speed, when the time taken is T2
      S1, speed when the time taken, is T1
      D1, D2 are distances for S1 and S2 respectively.

  3. Average speed = Total Distance/Time taken

  4. Concept of relative speed

    Srel = S1+ S2, if both are moving in opposite direction
    Srel = S1 – S2, if both are moving in same direction

Ace Time, Speed, and Distance with Understanding Decision-Making puzzle sets and Active-Passive Voice - Day 30
Ace Time, Speed, and Distance with Understanding Decision-Making puzzle sets and Active-Passive Voice - Day 30

CAT Exam: Previous Year CAT Questions On Time, Speed and Distance (Concept of Proportionality, Average Speed, Relative Speed)

Q1. Two cars travel the same distance starting at 10:00 am and 11:00 am, respectively, on the same day. They reach their common destination at the same point in time. If the first car travelled for at least 6 hours, then the highest possible value of the percentage by which the speed of the second car could exceed that of the first car is [CAT exam:2019]

  1. 10
  2. 20
  3. 30
  4. 25

Answer: [2]

Second car took 1 hr less than the first car.

First Car travelled for at least 6 hours, then the second car must travel for at least 5 hrs.

For, the highest possible value of the percentage by which the speed of the second car could exceed that of the first car, the above case should be taken

S1/S2 = T2/T1

S1/S2 = 5/6,

If S1 = 5, then S2 = 6

So, S2 is greater than S1 by 20%.

Speed Distance Time Questions With Solutions

Q2. The distance from A to B is 60 km. Partha and Narayan start from A simultaneously and move towards B. Partha takes four hours more than Narayan to reach B. Moreover, Partha reaches the mid-point of A and B two hours before Narayan reaches B. The speed of Partha, in km per hour, is [CAT exam: 2018]

  1. 6
  2. 3
  3. 4
  4. 5
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Solution: [4]

Let Parth reach mid-way at x hours, then Narayan will reach B at (x+2) hours.

Since Parth takes 4 hours more than Narayan to reach B, Parth should reach at (x+ 6) hours to B.

It reflects that Parth took 6 hours to reach from midways to B(30 Km).

So, the Speed of Parth = 30/6 = 5 Km/ hr.

CAT entrance exam: Prerequisite:

  • Ratios, Proportion and variations
  • Average
  • Percentage

Tips and Tricks for problems on time and distance:

  1. Divide questions into the categories of proportionality, Average Speed and Relative Speed.
  2. Average Speed = 2 S1.S2/ (S1 + S2) If distances covered with both speeds are the same.
  3. Using the concept of ratio while solving the questions proportionality.
  4. Relative Speed can be calculated by the Distance covered by both A and B/ Time taken if they are approaching each other.
  5. Relative Speed can be calculated by the Difference between distances covered by A and B/ Time taken if they are going away from each other.
  6. Practice different problems based on CAT Previous years questions

CAT study material: References to Study (Theory)

  1. How to Prepare for Quantitative Aptitude for CAT by Arun Sharma (7th Edition; Pg No 335 to 339)
  2. Rodha (YouTube, Link: https://www.youtube.com/watch?v=CKiP208avbc)

CAT study material: References to Practice Time, Speed and Distance Questions

  1. Quantitative Aptitude for the CAT – Sarvesh Verma.
  2. 2IIM CAT Preparation (YouTube)
  3. (Link: https://www.youtube.com/watch?v=EPLrK2RWVME)

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

CAT 2023 Syllabus Topic: Strategy to prepare “Decision Making Questions ” (Part-1) for CAT

CAT 2023: Important Concepts

  1. Eligibility Criteria
  2. Passage based decision making
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Decision Making And Problem Solving Questions For Cat 2023

Comprehension:

A fertiliser company AFC decided to recruit management trainees for its ammonia plant. The following criteria are decided to select a candidate:

Should be a Chemical Engineer graduate with a minimum of 65%.

Should have a Post graduate diploma in business management.

Should not be less than 21 yr of age on 1 July 2023.

Should not be greater than 28 yr of age on 1 July 2023.

Should have scored a minimum of 70% marks on the Entrance test.

However, if the candidate fulfils all the criteria except

A above but got marks less than 65% but greater than 60% in graduation and has experience of more than 2 yrs, his case may be referred to the managing director.

B above and has scored more than 85% on the Entrance test. His case may be referred to GM.

Give Answers

  1. if the candidate is selected
  2. if the candidate is referred to the managing director
  3. if the candidate is not selected
  4. if the candidate is referred to GM
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Q1. Ram Chandra Saini from Gujrat, born on 12 Sept 2000, passed his Chemical Engineering degree with 65.49% and scored 77% on the Entrance Test. He also worked in a fertiliser company from 17 November 2021 to 23 Sept 2023.

Q2. Ms Arundhanti Ray from WB, a 27 yr old lady, is a chemical Engineer with 61% marks and has a postgraduate diploma in business and also scored 74% on Entrance Test. She has also worked as a manager in a private company for 3 years.

Q3. Raju Mhatre is a 25 yr old chemical engineering graduate with 62% marks in graduation. He is working as an assistant manager in a private company for the last 2 yr. He passed the Entrance test with 52% marks and has done a diploma in business management in 2019.

Decision Making And Problem Solving Questions

Solution:

As per the information given in the question, a criteria table is drawn.

Name

Criteria A

Criteria B

Criteria C

Criteria D

Criteria E

Criteria (i)

Criteria (ii)

Ram Chandra Saini


X




NA

X

Arundhanti Ray

X






NA

Raju

Mhatre

X




X


NA

Answers:

1. [3], Since B and (ii) both are not fulfilled

2. [2]

3. [3], since both A and E are not fulfilled.

CAT entrance exam: Prerequisite:

  1. Analytical Skills
  2. Problem Solving/ Puzzles

CAT Tips and Tricks for Decision Making Questions

  1. Read carefully all the conditions given.
  2. Make a table to check the validity of the conditions given.
  3. For Selection all the basic conditions must be fulfilled.
  4. For rejection at-least one independent condition and one additional condition must be violated.

CAT Syllabus 2023: References to Study (Theory)

  1. Verbal and Non-Verbal Reasoning by B S Sijwali (Pg No 514- 540)
  2. CAT LRDI by Nishit K Sinha

CAT Syllabus 2023: References to Study (Practice)

  1. Verbal and Non-Verbal Reasoning by R S Agrawal.
  2. CAT/XAT Previous years Papers and Sample Papers.

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

CAT preparation: Basic Concept of active and passive voice

Structure of Active voice sentences

Subject + Verb + Object (S + V + O)

Structure of Passive voice sentences

Object + Verb + Subject (O + V + S)

CAT Exam Important Topic: Strategy to Prepare “Active and Passive Voice” for CAT-2023

CAT Previous Years' Questions on Active and Passive Voice:

Question 1: We have to leave the tap open for all the polluted water to drain

  1. The tap has to be left open for all the polluted water to drain.

  1. The tap had to be left open for all the polluted water to drain.

  1. The tap will be left open for all the polluted water to drain.

  1. The tap should be left open for all the polluted water to drain.

Ans (a)

Explanation: Active: Subject + have / has / had + to + V1+ Object

Passive: Subject(Obj)+ have / has / had + to + be + V3+ by + Agent(Sub)

Question 2: Did someone tease you?

  1. Was you teased by someone?

  1. Were you teased by someone?

  1. Was you being teased by someone?

  1. Were you being teased by someone?

Ans (d)

Explanation: To make passive form of modal verbs, following structure is followed:

(for indefinite)

Sub + Modal + V1 + Obj (active)

Obj + Modal + be + V3 + by + Sub (passive)

CAT 2023: Prerequisite

  1. The basic idea of sentence structure.
  2. Knowledge of subject-verb and object.

CAT exam: References to Study (Theory)

  1. How to Prepare for Verbal Aptitude for CAT by Arun Sharma (9th Edition)
  2. Wren and Martin
  3. https://www.youtube.com/watch?v=5xUnSLYPrdk

CAT: References to Study (Practice)

  1. https://iim-cat-questions-answers.2iim.com/
  2. CAT Previous years Papers and Sample Papers.
  3. CAT2CET (YouTube)

We will be back with Day-31 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.

To know complete information you can visit our website by clicking on the link given below.

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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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