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CAT Success Formula: Surfing through Escalators, Venn Diagrams Puzzle Questions, and Participles - Day 34

CAT Success Formula: Surfing through Escalators, Venn Diagrams Puzzle Questions, and Participles - Day 34

Edited By Irshad Anwar | Updated on Sep 19, 2023 11:31 AM IST | #CAT

Hello 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 to prepare Escalator Questions For CAT for Day 34 that can help you prepare well and crack the CAT entrance test 2023.

This article includes Escalator Questions For CAT, time, speed and distance questions, more problem-solving questions for Venn diagrams and participles questions for VARC. escalators questions for CAT are intellectual and this tests the problem solving and logical thinking mindset of the aspirants. Students can also refer to CAT escalator questions PDF for more information and guidance about the topic.

CAT Success Formula: Surfing through Escalators, Venn Diagrams Puzzle Questions, and Participles - Day 34
CAT Success Formula: Surfing through Escalators, Venn Diagrams Puzzle Questions, and Participles - Day 34

Aspirants can also download escalator questions for CAT from the link here.

CAT Preparation 2023 in 60 days

Part-1: Quantitative Aptitude for CAT exam

Important Concept/Formula Used in time speed distance escalator problems

Time speed distance escalator problems:

  1. Moving ‘with’ the escalator means one has to climb fewer steps on one’s own. (Similar to downstream)

  2. Moving ‘against’ the escalator means one has to climb more steps on one’s own. (Similar to upstream)

  3. Types of Escalator based problems:

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  • Length-related questions

  • Time-related questions

  • Steps-related questions

  • Speed-related questions

CAT 2024 Syllabus PDF (Free Download)
This CAT exam 2024 syllabus pdf has detailed section-wise and subject-wise syllabus and important topics of CAT.
Download Now

CAT Exam:

Previous Year CAT Questions On Time, Speed Distance (Escalator):

Q1. Rakesh takes 45 seconds on an escalator which is moving down when he walks down but takes 35 seconds when he runs down. He takes 25 steps when he walks whereas he takes 35 steps when he is running. What is the total number of steps in the escalator? [TITA, Based on CAT]

Common escalator problems and solutions:

Let the speed of the escalator be ‘x’ steps per second.

tsd CAT Questions Escalator Trick: The distance covered in going down in both cases should be the same.

Distance covered when he is walking = 25 + 45x (45x is covered by escalator)

Distance covered when he is running = 35 + 35x (35x is covered by escalator)

=> 25 + 45x = 35 + 35x

=> x = 1

Total number of steps = 25 + 45(1) = 70 steps

Time speed distance escalator problems

Q2. Amit and Sumit are climbing on a moving escalator that is going up. Amit takes 40 steps to reach the top whereas Sumit takes 45 steps for the same. Sumit takes 5 steps whereas Amit can take only 4 steps in one second. What is the total number of steps in the escalator? [TITA, Based on CAT]

Common escalator problems and solutions:

tsd CAT Questions Escalator Trick 1: First find the time taken by both to reach the top

For Amit, t = 45/5 = 9 seconds

For Sumit, t = 40/4 = 10 seconds

Let the escalator move with a speed of x steps per second.

tsd CAT Questions Escalator Trick 2: The distance covered in going down in both cases should be the same.

=> 9(5 + x) = 10(4 + x)

=> x = 5 steps per second

Number of steps in the escalator = 9(5 + 4) = 81 steps

Prerequisite for Escalator Questions For CAT

  • Relative speed

  • Upstream and downstream

  • Basics of Time, speed and distance

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CAT Exam Important Topic: Strategy to Prepare “Escalators (Time, speed and Distance) and Escalator Questions For CAT

Time, Speed and Questions for CAT (Escalator)

  • The height of each step does not matter.

  • Distance is measured in terms of steps.

  • Total steps by a person and the escalator are equal to the number of visible steps.

CAT study material: References to Study (Theory) Escalator Concepts

  • Escalator Questions For CAT

  • How to Prepare for Quantitative Aptitude for CAT by Arun Sharma (7th Edition; Pg No 335 to 339)

  • Rodha (YouTube, Link: https://www.youtube.com/watch?v=yzLtv86sWgI)

References to Study (Practice)Escalator Questions For CAT

  • Quantitative Aptitude for the CAT – Sarvesh Verma.

  • Rodha (YouTube, (Link: https://www.youtube.com/watch?v=RHflaojKVlI)

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

CAT 2023 Syllabus Topic: Strategy to prepare “Venn Diagram” (Part-2) and Venn Diagram Questions

CAT Exam:

CAT Previous Year Questions on Venn Diagram:

Q1. A club has 256 members of whom 144 can play football, 123 can play tennis, and 132 can play cricket. Moreover, 58 members can play both football and tennis, 25 can play both cricket and tennis, and 63 can play both football and cricket. If every member can play at least one game, then the number of members who can play only tennis is?

  1. 32

  2. 38

  3. 43

  4. 45

Venn Diagram Questions with Solution: ANS. (3)

According to the information given in the question

Considering that all those who play all their games as X as shown in the above Venn diagram, we will consider Student’s playing football and cricket both as 63-x, Student’s playing football and tennis both will be 58-x and student’s playing cricket and tennis both as 25-x.

Venn Diagram Trick: Firstly, as we know each student is playing at least one game so the addition of all players playing must be equal to the total number of students.

Secondly, as we know student playing game is clearly given in question

So, solution would be like

Only football would be 144-(63-x + x + 58-x) =23+x

Similarly, only tennis would be 123-(58-x+x+25-x) =40+X

Venn Diagram Trick: Students playing all the games must be equal to 256

256= Cricket + only football + only tennis + both football and tennis

256 = 132 + 23+x + 40+x + 58-x

On solving we get

X = 3

So, they have asked for only tennis so we would put x=3 in 40+x

So, answer would be = 40+3=43

Q2. Out Of 60 students in a class, anyone who has chosen to study maths elects to do physics as well. But no one does maths and chemistry, 16 do physics and chemistry. All the students do at least one of the three subjects and the number of people who do exactly one of the three is more than the number who do more than one of the three. What are the maximum and the minimum number of people who could have done Chemistry only?

Venn Diagram Questions with Solution:

Trick for Venn Diagram: According to given information, draw Venn diagram as shown below:

All students studying at-least one subject so

P + M+ C +(P&C) = 60

P+M+C+14 = 60

P+M+C = 44

Trick for Venn Diagram: Apply the given condition in equations formed

The number of people who do exactly one of the three is more than the number who do more than one of the three => Only P + only C must be greater than P&M + 16

So,

Only P + Only C > P&M + 16

The Question needs the answer for maximum and minimum for only C

Since they are asking for maximum and minimum of Only C

The trick is for minimum Put only C as 0 and if this equation holds then minimum would be zero

For maximum put only C as 44 and then check for equation hold or not

So, by putting only C as zero we get

Only P+0 > P&M + 16

Now we can easily see that equation will hold, we can find many values for only P and P&M

Similarly, if we put only C as 44 which is maximum value still the equation will hold so the answer would be

Max = 44 and Min = 0

CAT entrance exam: Prerequisite to Venn Diagram Questions

  • Set Theory

  • Venn diagram Basics

CAT syllabus 2023: References to Study (Theory) Venn Diagram Concepts

  • How to Prepare for Quantitative Aptitude for CAT by Arun Sharma (7th Edition: Page No 744- 748)

  • https://www.youtube.com/channel/UCHXQiDwicRon0tRuWj6r9HA (Rodha Youtube Channel)

  • CAT Exam:

References to Study (Practice) Venn Diagram Questions

  • How to Prepare for Quantitative Aptitude for CAT by Arun Sharma (7th Edition: Page No 749- 764)

  • CAT Previous years Papers and Sample Papers.

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

CAT Exam Important Topic: Strategy to Prepare “Participles” for CAT-2023

CAT Important Basic Concept

Participles are forms of verbs that can be used as nouns, modifiers, and compound verbs.

CAT Previous Years' Questions on Participles

Find the error in the underlined part:

Question: Due to the slow-moving nature of tectonic plate movement, the oldest ocean crust is thought to date from the Jurassic period, formed from huge fragments of the Earth’s lithosphere and lasted 200 million years. [CAT PYQ]

  1. formed from huge fragments of the Earth’s lithosphere and lasted 200 million years.

  2. forming from huge fragments of the Earth’s lithosphere and lasting 200 million years.

  3. forming from huge fragments of the Earth’s lithosphere and lasted 200 million years.

  4. formed from huge fragments of the Earth’s lithosphere and lasting 200 million years.

Solution: [D]

The “oldest ocean crust” was “formed” in the past during the Jurassic period and is currently still around (since the word ‘oldest’ directed towards its presence, otherwise the word ‘oldest’ would not have been used). We need the past tense/participle verbs to be used correctly.

Option (A): The ocean crust was “formed” in the past” but if “lasted” is past tense then the oldest ocean crust is no longer around.

If you chose (B) or (C), “forming” implies the ‘oldest ocean crust is still being formed. and that part is no longer continuing to form but was formed at some point during the Jurassic period.

Option D is correct.

CAT 2023:

Prerequisite

  • Verb

  • Tenses and Sentence Verb agreement

Tips and Tricks for CAT Exam

  • To figure out which role a participle is playing, find the core of the sentence.

  • Try to spot the participle in this sentence.

  • Present participles always end in “-ing”

  • Past participles are generally identical to the past tense form of the verb.

CAT exam: References to Study (Theory)

  • Wren and Martin

  • Bodhee Prep CAT Preparation (https://www.youtube.com/watch?v=diPZrBHQ7rM)

CAT exam: References to Study (Practice)

  • Mastering the Verbal Ability for CAT by Ajay

  • CAT Previous years Papers and Sample Papers.

  • https://www.youtube.com/watch?v=Ql5ipQILsKM

Practice and remain focused; Day 35 will be posted tomorrow.

Thank you!

All the best!

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Questions related to CAT

Have a question related to CAT ?

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.

Hello aspirant,

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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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