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CAT Exam Breakthrough: Problems on Trains, Boat and Stream Questions For CAT Exam - Day 31

CAT Exam Breakthrough: Problems on Trains, Boat and Stream Questions For CAT Exam - Day 31

Edited By Irshad Anwar | Updated on Sep 18, 2023 12:32 PM IST | #CAT

Hello CAT 2023 candidates,

The CAT exam 2023 for MBA admissions 2024 –2026 will be held on November 26. 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 mainly focuses on topics: Problems on Trains, Relative speed aptitude questions, Boat stream questions, Decision making questions part 2, and direct and indirect VARC questions. From this article, students will be able to cover a lot of different topics for students to learn and understand the concepts and various different strategies of direct and indirect Mcqs type questions.

CAT Exam Breakthrough: Problems on Trains, Boat and Stream Questions For CAT Exam - Day 31
CAT Exam Breakthrough: Problems on Trains, Boat and Stream Questions For CAT Exam - Day 31

CAT Preparation 2023 in 60 days

Part-1: Quantitative Aptitude for CAT exam

Important Concept/Formula Used in relative speed aptitude questions and problems on trains

  1. Problems on trains: Trains (Length L1 and L2) Approaching each other with velocity v1 and v2.

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Time taken to Cross each other = (L1+L2)/(v1+v2)

  1. Trains (Length L1 and L2) moving in the same direction with velocities v1 and v2. (v1 > v2)

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Time taken to overtake = (L1+L2)/(V1-V2)

  1. Concept of upstream:

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Speed of boat in upstream = Vu = v – u

v = speed of boat in still water

u = speed of river/flow/current

  1. Concept of downstream

Speed of boat in downstream = Vu = v + u

CAT Exam:

Previous Year CAT Questions On Time, Speed and Distance (CAT questions on Boats and Streams)

Train Aptitude Questions

Q1. Train T leaves station X for station Y at 3 pm. Train S, travelling at three-quarters of the speed of T, leaves Y for X at 4 pm. The two trains pass each other at station Z, where the distance between X and Z is three-fifths of that between X and Y. How many hours does train T take for its journey from X to Y? [TITA: CAT 2018]

Relative Speed Aptitude Questions with Solution:

Let the total distance between X and Y = 5a, therefore the distance between X and Z = 3a & between Y and Z = 2a.

The ratio of time taken by train T and train S to reach Z from their respective Station = (3a/v: 2a/3v/4 = 9: 8) where v is the velocity of train T.

Let time taken by train T is 9y, then the time taken by train S will be 8y.

Therefore, (9y -1) = 8y

⇒ y = 1

so, time taken by train T to cover 3a = 9 hour

so, time taken by train T to cover XY (5a) = 5/3 x 9 = 15 hour

Boats and Streams Aptitude Problems

Q2. A man travels by motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motorboat, then his total travel time gets reduced by 75%. The ratio of the original speed of the motor boat to the speed of the river is [CAT 2017]

  1. 6: 2

  2. 7: 2

  3. 25: 3

  4. 3: 2

Boat and Stream Questions With Solution: [B]

Let the speed of the boat in still water and the speed of the river be v and u respectively. D is the width of the river.

So, D/v+u+ D/v-u = Time taken (with original speed of motor boat)

and D/2v+u+ D/2v-u = Time taken (with the double speed of motor boat)

According to the question, travel time is reduced by 75% which means new time is ¼ of old time.

So, 4D/2v+u+ 4D/2v-u= D/v+u+ D/v-u

On solving, we get v: u = 7: 2

CAT entrance exam: Prerequisite for quantitative aptitude for CAT questions:

  • Ratios, Proportion and variations

  • Basics of Time, Speed and distance

CAT Exam Important Topic: Strategy to Prepare “Basics of Time, speed and Distance (Trains and Boats)” and problems on trains

  • a km/hr= (a x 5/18) m/s

  • Time taken by a train of length L to cross a man or pole is equal to L/v.

  • Time taken by a train of length L to cross a stationary object of length x is equal to (L + x)/v.

  • If the two objects start from A and B with speeds u and v respectively, and after crossing each other take a and b hours to reach B and A respectively, then u: v = √b: √a.

  • Divide questions topic-wise and practice different problems based on CAT Previous years questions.

CAT study material: References to Study (Theory)

CAT study material: References to Practice Problems on Trains, Boat and Stream Problems

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

CAT 2023 Syllabus Topic: Strategy to prepare “Decision Making” (Part-2)

Sample Questions Based on the CAT/XAT Exam:

Comprehension:

A device classifies numbers according to the following criteria. The number must have

  1. seven digits.

  1. at least two prime digits.

  1. perfect squares as the first and the last digits.

  1. an even digit as the middle digit. If the number satisfies criteria (A), (B), (C) and (D) then the number is classified as a Superior number.

  1. If a number is a superior number and the digits are in increasing order from left to right according to the value, then the number is classified as an impressive number.

  1. If the number satisfies criteria (A), (B) and (D) but not (C), but the first and last digits are even, then the number is classified as a Mutual number.

  1. If the number satisfies criteria (A) (B) and (C) but not (D) but all the digits are odd, then the number is classified as a Classic number.

  1. If the number does not fall under any of the above-mentioned classifications, then the number is classified as a Garbage number. Based on the above criteria, decide which number should be classified in which of the above-mentioned classification.

Mark your answer choice as

(A), if the number is classified as a Superior number.

(B), if the number is classified as an impressive number.

(C), if the number is classified as a Mutual number.

(D), if the number is classified as a Classic number.

(E), if the number is classified as a Garbage number.

Classify the following number as mentioned above.

  1. 1778459

  2. 4276891

  3. 1367574

  4. 9632578

  5. 4556666

  6. 4368579

  7. 1366789

  8. 9517531

  9. 1573934

  10. 964374

Solution:

Tip: Summarize the details given in the form of table:

1695019779283

Ans

  1. A

  2. A

  3. E

  4. E

  5. C

  6. A

  7. B

  8. D

  9. E

  10. E

CAT entrance exam: Prerequisite

  • Analytical Skills

  • Decision Making: Concepts

Tips and Tricks for CAT

  • Practice XAT Sample Papers.

  • Practice XAT Previous Years Papers.

  • Do not waste much time on it if preparing for CAT.

  • Much important for XAT Exam.

References to CAT Study (Theory)

  • Verbal and Non- Verbal Reasoning by B S Sijwali

  • CAT LRDI by Nishit K Sinha

References to Practice

  • Verbal and Non-Verbal Reasoning by R S Agrawal.

  • CAT/XAT 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 “Direct and Indirect Speech” for CAT-2023

CAT Important Concepts

Changes from direct to indirect require

  1. Changes in Tense

  2. Changes in Person and Pronouns

  3. Changes in Time Phrases

CAT Previous Years' MCQs on Direct and Indirect:

Question 1: Direct: He said, “Will you come for the meeting?”

Indirect:

  1. He asked them whether he would come for the meeting.

  2. He asked them that he will come for the meeting.

  3. He said to them whether he will come for the meeting.

  4. None of these

Ans: A

Explanation: Future tense changes to present conditional.

Question 2: Direct: She said, “I have baked a cake.”

Indirect:

  1. She said that she baked a bake.

  2. She said that she had baked a cake.

  3. She said whether she had baked a cake.

  4. None of these.

Ans: B

Explanation: Present perfect changes to past perfect.

CAT 2023:Prerequisite

  • The basic idea of Tenses.

  • Knowledge of subject-verb and object.

Tips and Tricks for CAT Exam

  • Recognize the structure carefully.

  • All inverted commas or quotation marks are omitted and the sentence ends with a full stop.

  • Conversion rules:

    • Simple Present Changes to Simple Past.

    • Present Continuous Changes to Past Continuous.

    • Present Perfect Changes to Past Perfect

    • Simple Past Changes to Past Perfect

    • Past Continuous Changes to Past Perfect Continuous

    • Future Changes to Present Conditional

    • Future Continuous Changes to Conditional Continuous

  • Changes in Modals:

    • Can changes into Could, May changes into Might, Must changes into Had to/ would have to.

    • Modals that DO NOT Change: Would, Could, Might, Should, Ought to.

  • Practice questions

CAT exam: References to Study (Theory)

CAT exam: References to Study (Practice)

Practice and remain focused; Day 32 will be posted tomorrow.

Thank you!

All the Best !

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Questions related to CAT

Have a question related to CAT ?

Hello,

In the context of Karnataka's reservation categories, Vishwakarma is classified under Category 2A . Specifically:

  • Category 2A : This category includes communities that are identified as Vishwakarma , along with others such as Panchamasali , Nayaka , Goud , and others.

Hope it helps !

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.



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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