Time Speed Distance Race Questions & Solutions For CAT Exam | Day 33

Time Speed Distance Race Questions & Solutions For CAT Exam | Day 33

Edited By Irshad Anwar | Updated on Sep 19, 2024 01:59 PM IST | #CAT

As the CAT 2024 exam date approaches, the pressure is high on every CAT aspirant. On November 24, the CAT exam 2024 for MBA admissions 2025–2027 will take place. Today, in this CAT 2024 60-day preparation guide series of Careers360, we will discuss the strategies for day 33 that can help you prepare well and crack the CAT entrance test 2024.

Time Speed Distance Race Questions & Solutions For CAT Exam | Day 33
Time Speed Distance Race Questions & Solutions For CAT Exam | Day 33

This article includes time, speed, and distance race questions, linear race questions for the CAT exam, an introduction to Venn Diagram and Verbal analogies questions. Time, Speed and Distance race questions are tricky and students should do a thorough revision for the same. CAT Preparation 2024 in 60 days

Part-1: Quantitative Aptitude for CAT exam

CAT Exam Important Topic: Strategy to Prepare “Time, Speed and Distance (Linear Races and Circular Races) and time speed distance race questions.

Students can also download time speed and distance questions for cat pdf

Important Concept/Formula Used/Tricks in Linear and Circular Races Concept for CAT exam & Time speed distance race questions


  1. Linear Races for CAT entrance exam:

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  • A gives B a head start of x metre: it means at the start of the race B is x metre ahead of A.
  • A gives B a start of t seconds: It means A start the race after t second of B.
  • A beats B by x metres: A finishes the race before x metres than B.
  • A beats B t seconds: A finishes race t seconds before B.
  • Dead heat: All finish the race at the same time and at the same point.
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2. Circular Races for CAT 2024:

Circular Track formulas-

The questions asked in this concept are as follows:

  1. When do the two participants (speeds x and y) meet first anywhere on the track (length of the track is L)?

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  • Races problems shortcuts Trick: L/(x-y), when both are moving in the same direction.
  • L/(x+y), when both are moving in the opposite direction.
  1. How many times do the participants meet?

    • Races problems shortcuts Trick: (x-y), when both are moving in the same direction.
    • (x+y), when both are moving in the opposite direction.
    • Here, x: y should be in its simplest form
  2. When do they first time meet at the starting point or ending point?
    Circular Race questions shortcuts Trick: LCM (L/x, L/y)

3. Practice Sample papers and CAT Previous year questions.

Previous Year CAT Questions On Time, Speed Distance (Linear and Circular Races):

Q1. Mira and Amal walk along a circular track, starting from the same point at the same time. If they walk in the same direction, then in 45 minutes, Amal completes exactly 3 more rounds than Mira. If they walk in opposite directions, then they meet for the first time in exactly after 3 minutes. The number of rounds Mira walks in one hour is [TITA, CAT 2021, Slot 3]

Linear Races Questions for CAT Exam With Solution: Answer is 8.

Let Amal complete 1 round in x minutes and Mira complete the same in y minutes.

Since, Amal completes exactly 3 more rounds than Mira

So, 45/x – 45/y = 3

1/x−1/y = 1/15— (1)

If they walk in opposite directions, then they meet for the first time exactly after 3 minutes. It means, in 3 minutes, Amal and Mira together complete one round.

Therefore,

3/x+ 3/y= 1 — (2)

On solving both equations, we get y = 15/2

So, Meera requires 15/2 minutes to complete 1 round and hence will complete 8 rounds in an hour.

Circular Race Questions and Linear Races Questions for CAT Exam

Q2. In a car race, car A beats car B by 45 km, car B beats car C by 50 km, and car A beats car C by 90 km. The distance (in km) over which the race has been conducted is [CAT 2020, slot 2]

  1. 550
  2. 475
  3. 500
  4. 450

Time speed distance race questions with Solution: [4]

car A beats car B by 45 km

1696841508819

SA: SB = x/(x-45)

car B beats car C by 50 km

1696841509068

SB: SC = x/(x-50)

car A beats car C by 90 km

1696841508936

SA: SC = x/(x-90)

Also,

SA/ SC = (SA/ SB) x (SB/ SC)

So, x/(x-90) = [x/(x-45)] [ x/(x-50)]

On solving, we get x = 450 Kms.

Pre-requisite for time speed distance race questions

CAT study material: References to Study (Theory)

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

References to Practice time speed distance race questions

Part 2: CAT 2024 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation)

CAT 2024 Syllabus Topic: Previous Year CAT questions for Venn Diagram” (Part-1) and Venn Diagram Questions

CAT Exam 2024: Important Venn Diagram Concepts

Start with Universal (A rectangle), Then a circle represents each set of values in the problem.

Where the circles overlap, the value belongs to more than one set.

1696841509275

CAT Exam:

CAT Past Year Venn Diagram Questions:

Q1. Each of the 74 students in a class studies at least one of the three subjects H, E and P. Ten students study all three subjects, while twenty study H and E, but not P. Every student who studies P also studies H or E or both. If the number of students studying H equals that studying E, then the number of students studying H is [CAT 2018]

Venn Diagram Questions for CAT:

According to information given in the question

1696841509168

According to given information:

a+ b+ c+ d+ 10 + 20 = 72

⇒ a+ b+ c+ d= 42

Also, a+ c+ 20 + 10 = b+ d+ 10+ 20

⇒ a+ c = b+ d

From above two equations;

2 (a+ c) = 42

⇒ a+ c = 21

Therefore, number of students studying H = a+ c+ 20 + 10 = 21+ 20+ 10 = 51.

CAT entrance exam: Prerequisite to Venn Diagram CAT Questions

Tips and Tricks for CAT

  • A thorough study of the basics of Venn Diagram .
  • Understand representations and Venn diagram formulas for 2-set, 3-set or 4- set Venn diagrams.
  • Practice CAT questions on Set theory and the Venn diagram.

CAT syllabus 2024: References to Study (Theory) Venn Diagram Concepts

  • Verbal and Non-Verbal Reasoning by B S Sijwali
  • CAT LRDI by Arun Sharma
  • Mission CAT (YouTube link: https://www.youtube.com/watch?v=HF2sY7ZBDcs)
  • CAT Exam

References to Study (Practice) Venn Diagram Questions

  • Verbal and Non-Verbal Reasoning by R S Agrawal.
  • CAT Previous year Papers and Sample Papers.
  • (YouTube; Link: https://www.youtube.com/watch?v=knClqCBHTsA)

Part-3: CAT Exam Preparation 2024: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)

CAT Exam Important Topic: Strategy to Prepare “Verbal Analogies”.

CAT Important Concepts

These pairs of words share some kind of relationship that must be deciphered.

Amongst four pairs, a pair of words share the same relationship with its pair as the pair given in the question.

CAT Previous Years' Questions on Verbal Analogies

Comprehension:

During the frigid season... it's often necessary to nestle under a blanket to try to stay warm. The temperature difference between the blanket and the air outside is so palpable that we often have trouble leaving our warm refuge. Many plants and animals similarly hunker down, relying on snow cover for safety from winter's harsh conditions. The small area between the snowpack and the ground called the subnivium... might be the most important ecosystem that you have never heard of.

The subnivium is so well-insulated and stable than its temperature holds steady at around 32 degrees Fahrenheit (0 degree Celsius). Although that might still sound cold, a constant temperature of 32 degrees Fahrenheit can often be 30 to 40 degrees warmer than the air temperature during the peak of winter. Because of this large temperature difference, a wide variety of species...depend on the subnivium for winter protection.

For many organisms living in temperate and Arctic regions, the difference between being under the snow or outside is a matter of life and death. Consequently, disruptions to the subnivium brought about by climate change will affect everything from population dynamics to nutrient cycling through the ecosystem.

The formation and stability of the subnivium require more than a few flurries. Winter ecologists have suggested that eight inches of snow are necessary to develop a stable layer of insulation. Depth is not the only factor, however. More accurately, the stability of the subnivium depends on the interaction between snow depth and snow density. Imagine being under a stack of blankets that are all flattened and pressed together. When compressed, the blankets essentially form one compacted layer. In contrast, when they are lightly placed on top of one another, their insulative capacity increases because the air pockets between them trap heat. Greater depths of low-density snow are therefore better at insulating the ground.

Both the depth and density of snow are sensitive to temperature. Scientists are now beginning to explore how climate change will affect the subnivium, as well as the species that depend on it. At first glance, warmer winters seem beneficial for species that have difficulty surviving subzero temperatures; however, as with most ecological phenomena, the consequences are not so straightforward. Research has shown that the snow season (the period when snow is more likely than rain) has become shorter since l970. When rain falls on snow, it increases the density of the snow and reduces its insulative capacity. Therefore, even though winters are expected to become warmer overall from future climate change, the subnivium will tend to become colder and more variable with less protection from the above-ground temperatures.

The effects of a colder subnivium are complex... For example, shrubs such as crowberry and alpine azalea that grow along the forest floor tend to block the wind and so retain higher depths of snow around them. This captured snow helps to keep soils insulated and in turn, increases plant decomposition and nutrient release. In field experiments, researchers removed a portion. of the snow cover to investigate the importance of the subnivium's insulation. They found that soil frost in the snow-free area resulted in damage to plant roots and sometimes even the death of the plant. [CAT 2017]

Verbal Analogies questions with solution

Q1: In paragraph 1, the author uses blankets as a device to

  1. evoke the bitter cold of winter in the minds of readers.

  2. explain how blankets work to keep us warm.

  3. draw an analogy between blankets and the snowpack.

  4. alert readers to the fatal effects of excessive exposure to the cold

Ans: [C]

From the 3rd and 4th paragraphs,

draw an analogy between blankets and the snow peaks

CAT 2024:

Prerequisite

  • Synonyms/ Antonyms
  • Vocabulary

Tips and Tricks for CAT Exam

  • Analogies are simple and fall into neat, distinguishable patterns. Understand these patterns quickly.
  • Practice analogies to get familiar with the patterns. This will help to identify the relations.
  • While solving an analogy question, look for the precise relationship.
  • Analogies involve exactness and precision in their solving.
  • It is also important to substitute the pair of words into sentences in the same order as they are given in. For example, “painter creates a painting” is correct and “a painting created by a painter” is incorrect and vice-versa.

CAT exam: References to Study (Theory)

CAT exam: References to Study (Practice)

  1. Mastering the Verbal Ability for CAT by Ajay
  2. CAT Previous years Papers and Sample Papers.

Free PDFs for CAT Preparation 2024

CAT 2023 Official Question Paper and Answer Key (Slot 1)


Click here to download

CAT 2023 Official Question Paper and Answer Key (Slot 3)


Click here to download


Practice and remain focused; Day 34 will be posted tomorrow.

Thank you! All the Best!

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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

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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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