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 Team Careers360 | Updated on Nov 06, 2024 08:51 PM IST | #CAT

The CAT exam for MBA admissions in 2025-2027 will be conducted on November 24, 2024. Here is the plan for day 30 of Careers360's 60-day CAT 2024 preparation guide. This will help you study for the CAT exam.

The major focus of this article is the problem of Trains, Relative Speed aptitude questions, Boat and Stream questions, Decision Making (part 2), and direct and indirect VARC questions. Students will gain knowledge of various sections, comprehend ideas, and experiment with methods for answering both direct and indirect multiple-choice 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 2024 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 velocities v1 and v2.

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 2024 Preparation Tips: CAT DILR Tips (Logical Reasoning and Data Interpretation)

CAT 2024 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 2024: CAT Exam Tips For VARC (Verbal Ability & Reading Comprehension)

CAT Exam Important Topic: Strategy to Prepare “Direct and Indirect Speech” for CAT-2024

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 2024: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)

Study Resources for CAT 2024


CAT Quantitative Aptitude Questions with Answers PDF


Click here to download

CAT 2024 GD PI Preparation: Experts and Toppers Tips


Click here to download

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


Frequently Asked Questions (FAQs)

1. What's the difference between direct and indirect VARC questions?

Direct VARC questions gather basic information from an article, while indirect questions demand you determine the meaning or comprehend the author's intention. Both types need a thorough study of the passage.

2. What are Problems on Trains in the CAT Exam?

Train problems include questions related to train speed, distance, and travel time. To answer these issues, apply the formula Distance = Speed × Time.

3. How do you figure out how long it will take two trains to cross one another while they are approaching one another?

The formula used to determine the time taken is:

  •  L1 and L2 = the train lengths

  •  v1 and v2=the train speeds

  • Time = (L1 + L2) / (v1 + v2)

4. How long does it take two trains traveling in the same direction to pass one another?

Put the following formula to use:

Where v1 > v2, time = (L1 + L2) / (v1 - v2). 

5. How can I determine Relative Speed?

Relative speed lets you understand how quickly one thing moves in comparison to another. If two items are moving in the same direction, subtract their speeds. If they go in different directions, add their speeds.

6. What's the difference between direct and indirect VARC questions?

Direct VARC questions gather basic information from an article, while indirect questions demand you determine the meaning or comprehend the author's intention. Both types need a thorough study of the passage.

7. What are Problems on Trains in the CAT Exam?

Train problems include questions related to train speed, distance, and travel time. To answer these issues, apply the formula Distance = Speed × Time.

8. How do you figure out how long it will take two trains to cross one another while they are approaching one another?

The formula used to determine the time taken is:

  •  L1 and L2 = the train lengths

  •  v1 and v2=the train speeds

  • Time = (L1 + L2) / (v1 + v2)

9. How long does it take two trains traveling in the same direction to pass one another?

Put the following formula to use:

Where v1 > v2, time = (L1 + L2) / (v1 - v2). 

10. How can I determine Relative Speed?

Relative speed lets you understand how quickly one thing moves in comparison to another. If two items are moving in the same direction, subtract their speeds. If they go in different directions, add their speeds.

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Questions related to CAT

Have a question related to CAT ?

With a 59.95 percentile in CAT 2024 and ST category, you can expect calls from newer IIMs like IIM Bodh Gaya, IIM Jammu, and IIM Sirmaur, as they have lower cutoffs for reserved categories. Non-IIM options like IIT Madras (MBA), NIT Trichy (MBA), and state universities like Delhi School of Economics (DSE) might also consider your profile. Apply to institutions that prioritize diversity and offer ST reservation. Ensure your application highlights strong academics and achievements.

For more details you can visit the link given below

https://bschool.careers360.com/cat-percentile-predictor


Hi,

Based on the previous year analysis, According to your CAT 2024 percentile some of the best colleges offering MBA and PGDM course in Telangana in which you have chances to get a seat are the following

  • GITAM School of Business, Hyderabad
  • Institute of Management Technology, Hyderabad
  • School of Business Excellence, Hyderabad
  • IIRM Hyderabad
  • Dhruva college of Management, Hyderabad

For more information about the colleges in which you have chances to get a seat you can predict using MBA college predictor tool provided below

https://bschool.careers360.com/cat-college-predictor

Hope this information will help you

Hi,

With a CAT 2024 score of 93.94 percentile, you have a good chance of getting calls from several IIMs. Here are some possibilities:

IIMs:

  • IIM Jammu

  • IIM Bodhgaya

  • IIM Udaipur

  • IIM Kashipur

  • IIM Vizag

Apart from IIMs, you can also consider other prestigious B-schools like:

  • Management Development Institute (MDI) Gurgaon

  • FMS Delhi

  • IIT Delhi

  • IIM Lucknow

  • IIM Indore

  • IIM Raipur


CAT exam is conducted every year for purpose of admission to various prestigious business school and management institutes in India. The exam is also considered among toughest entrance exams in India. The exam rats the logical skills of the candidates. You can get the college list based on your CAT score by simply visiting CAT College Predictor 2024

Hi Sonu,

Preparing for CAT 2025 through self-study requires the right study materials, a structured plan, and consistent effort. CAT Syllabus comprises of Quantitative Aptitude (QA), Data Interpretation and Logical Reasoning (DILR), Verbal Ability and Reading Comprehension (VARC).

You can get more detailed information in the mentioned website of Careers360, it will be helpful enough for preparation of CAT 2025.

If looking for online sources, you can go through few channels on YouTube like- Study Buzz, Takshzila, and Career Launcher. Apps like unacademy and Byju's can help as well.

All the best for your CAT preparation.

https://bschool.careers360.com/exams/cat/study-material

View All

Directions for question :

M/s Deloitte Touche Tohmatsu Limited, one of the top four audit and accounting firms in the world with headquarters at London, UK, and with an operational presence in 153 countries, hires Management Trainees (MT) from all the premier management institutes of India thrice every year, in the months of January, May and September.

Each new group of Management Trainees (MT) have to go through a four month rigorous training schedule, after which they have to pass through a test consisting of a written assessment and a case-analysis. The top hundred ranked Management Trainees (MT) based on the performance in the test are confirmed as Management Executives (ME). The rest are given the opportunity of undergoing the training for four months one more time along with the next batch of Management Trainees (MT) and then passing through the subsequent test consisting of the written assessment and case-analysis. The Management Trainee (MT) who fails to get confirmed as a Management Executive (ME) the second time is fired.

The scatter-graph below depicts the number of Management Trainees (MT) at Deloitte taking the tests from January 2020 till May 2022, and the vis-à-vis hired Management Trainees (MT) at Deloitte who were fired :

It is also known that for the month of September 2019 at Deloitte, 96 hired Management Trainees (MT) failed to be confirmed as a Management Executive (ME) the first time, and that 36 hired Management Trainees (MT) were fired. 

Question :

In which test did the minimum number of Management Trainees (MT) get confirmed as a Management Executive (ME) in the second attempt ?

Option: 1

September 2020

 

 


Option: 2

May 2021


Option: 3

January 2021

 


Option: 4

January 2022 


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the first customer's order be considered closed ?

 

Option: 1

6.15 pm

 

 


Option: 2

6.17 pm

 


Option: 3

6.18 pm

 


Option: 4

6.20 pm


Directions for question :

Six sticks of equal lengths were kept in the vertical position in an empty flower-vase, to be arranged at the six corners of a regular hexagon. The two ends of each of the sticks were of different colours. 

The top ends of the sticks were one of each of the following colours – Red, Cyan, Pink, Brown, Black and Green. The bottom ends were one of each of the following colours – Blue, Yellow, White, Orange, Purple and Grey. Both the sets of colours mentioned were in no particular order.

It was also known that :

a) The stick with the red colour was opposite to the stick with the blue colour

b) There were exactly two sticks whose both ends had colours whose names started with the same letter

c) The stick with the grey colour was adjacent to the stick with the white colour

d) The stick with the cyan colour was adjacent to both the sticks with the brown colour and the one with the blue colour

e) The stick with the purple colour was adjacent to both the sticks with the grey colour and the one with the green colour

f) The stick with the white colour was opposite to the stick with the green colour

Question :

What was the colour of the bottom end of the stick having brown colour at the top end ?

Option: 1

 White 

 


Option: 2

Yellow 


Option: 3

Black

 


Option: 4

Grey


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the third customer's order be considered closed ?

 

Option: 1

6.28 pm

 


Option: 2

6.35 pm

 


Option: 3

6.38 pm


Option: 4

6.45 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis, when would the second customer's order be considered closed ?

Option: 1

6.20 pm

 

 


Option: 2

6.18 pm


Option: 3

6.15 pm

 


Option: 4

6.12 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis, when would the third customer's order be considered closed ?

 

Option: 1

6.22 pm

 


Option: 2

6.25 pm


Option: 3

6.28 pm 


Option: 4

6.30 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

A fourth customer comes in and orders two plates of French Toast at 6.24 pm. Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis. For exactly how many minutes would one of the friends be idle from 6.00 pm till serving the last customer, assuming that the four customers were the only ones to have come in within the period being discussed ?

Option: 1

9

 


Option: 2

13


Option: 3

18


Option: 4

21


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Had Niloy been absent on that day, and assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the fourth customer's order (refer to the previous question) be considered closed ?

Option: 1

6:38 pm

 


Option: 2

6:42 pm

 


Option: 3

6:47 pm


Option: 4

6:49 pm


Directions for question:

The bar-graph given below shows the foreign exchange reserves of Nepal (in million Rupees) from 2014 to 2021. Answer the following questions based on the graph :

Question:

What was the percentage increase (rounded to the nearest integer, if deemed necessary) in the foreign exchange reserves in 2020 over 2016 ?

Option: 1 None

Option: 2 None

Option: 3 None

Option: 4 None

Directions for question:

The Jadavpur University’s Prince Anwar Shah Road hostel consists of two large separate buildings, one for the ladies and the other for the gents, while having a common kitchen and dining hall. It is the hostel of the CS and the EEC department of engineering students of the university.

In recognition of the growing dissatisfaction and hence complaints among the inmates of the hostel regarding the menu served for dinner, the Dean of the engineering department, Dr Aparesh Sanyal, personally decided to investigate the matter. He set about collecting information about the preference of dinner among the inmates, separately from the gents and the ladies wing of the hostel.

Dr Sanyal was able to gather the following partial information :  

 

Hostel inmates

Menu preference for dinner

Total

Egg Meal

Fish Meal

Chicken Meal

Gents

   

20

 

Ladies

     

64

Total

 

60

   

 

The Warden of the hostel was consulted, who after investigation declared that the following facts were clear :

1. Forty percent of the hostel inmates were ladies

2. One-third of the gentlemen inmates preferred an egg meal for dinner

3. Half the hostel inmates preferred either fish meal or chicken meal

Question:

What proportion of the lady hostel inmates preferred a fish meal for dinner ?

 

 

Option: 1

0.25

 

 


Option: 2

0.50

 


Option: 3

0.75

 


Option: 4

1.00 


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