CAT Masterclass: Understanding Spheres, Logical Connectives, and Some Important PYQs of Para jumbles - Day 47

CAT Masterclass: Understanding Spheres, Logical Connectives, and Some Important PYQs of Para jumbles - Day 47

Edited By Team Careers360 | Updated on Nov 06, 2024 08:57 PM IST | #CAT

Hello, CAT 2024 aspirants! As you study for the Upcoming exam on November 24, it's critical to concentrate on essential topics that will help you do better. On day 47, this article covers crucial topics including Mensuration Questions For the CAT exam, Sphere problems, Logical Deductions, and parajumbles. These topics are important on the CAT exam, therefore knowing them well can offer you an advantage.

CAT Masterclass: Understanding Spheres, Logical Connectives, and Some Important PYQs of Para jumbles - Day 47
CAT Masterclass: Understanding Spheres, Logical Connectives, and Some Important PYQs of Para jumbles - Day 47

Mensuration, particularly sphere-related topics, is a broad subject that requires familiarity with a variety of formulae and ideas relating to areas and volumes. Logical deductions stress your thinking abilities, thus constant practice is required. Para jumbles, in which you arrange sentences to construct logical paragraphs, test your ability to integrate ideas properly.

Make sure to thoroughly practice these topics and don't forget to get the CAT Mensuration Questions and Answers PDF for more preparation. Stay focused and keep preparing to improve your chances of passing the CAT Exam!

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CAT Exam Important Topic: Strategy to Prepare “Mensuration (Sphere)” and CAT mensuration questions on sphere. Sphere questions and answers for CAT exam pdf download are available at the top of the page.

Important Concept/Formula Used in Mensuration Questions For CAT exam

Important formulae related to CAT Geometry Mensuration: Sphere and Hemisphere are given below:

  1. A sphere is solid in the form of a ball with radius r.

  2. Surface Area of a sphere = 4πr2

  3. Volume of a sphere =4/3 πr3

  4. Curved Surface Area of a Hemisphere = 2πr2

  5. Total Surface Area of a Hemisphere = 3πr2

  6. Volume of a Hemisphere =2/3 πr3

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CAT Previous Year Mensuration Geometry Questions on Sphere:

Q1. Previous Year CAT Mensuration Questions are given below:

A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3 cm, while its volume is 9 π cm3. Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder is [TITA, CAT 2017]

Mensuration Geometry Questions with Solution are given below:

Given that the height of the cylinder is 3 cm, while its volume is 9π cm3

⟹ πr2h = 9π

⟹ r = √3 cm

See the diagram below:

1695441941777

x2 = 22 – (√3)2

x = 1 cm

Height of the top point of the sphere from the bottom of the cylinder = Height of cylinder + radius of sphere + x = 3+ 1+ 2 = 6 cm

Q2. Questions on CAT Geometry Mensuration are given below:

A spherical-shaped Laddoo has been placed inside an open box of the cubical shape of side 10 cm such that the sweet fit the box. A fly is sitting on one of the vertices of the cube. What is the shortest distance the fly must travel to reach the sweet? [Based on CAT PYQ]

  1. 5 cm

  2. 5(√3 – 1) cm

  3. 5(√2 – 1) cm

  4. 2.5(√3 – 1) cm

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CAT Geometry Mensuration questions with solutions are given below:

Ans: [2]

Edge of cube = diameter of sphere = 10 cm

Top view of the situation:

1695441941270

CD = Minimum distance required

CD = AD- BC- AB = AD – BC – CD (since AB = CD; by symmetry)

CD = (AD – BC)/2 = (10√3 – 10)/2 = 5 (√3 – 1)

[Here AD = diagonal of cube = √3 x side of cube]

Tricks and Tips for CAT Geometry Mensuration and Sphere

Tricks and tips for Sphere Questions for CAT are given below:

  1. Imagine a ball/football as a sphere and do make the analysis

  2. See the pattern of asked Sphere Questions for CAT

  3. Practice Hybrid questions on the sphere with cone, a sphere with cylinder, sphere inside a cube etc.

  4. Do not confuse curved surface area and Total Surface Area.

CAT entrance exam: Prerequisite to mensuration Problems: Sphere Questions for CAT

  1. Geometry

  2. Basics of trigonometry

  3. Percentage

CAT study material: References to Study Theory for Sphere (Mensuration)

  1. NCERT Mathematics Class 9 and 10

  2. 2IIM (YouTube Channel)

References to Practice CAT mensuration questions on Sphere

Mensuration Questions For CAT exam

  1. How to prepare quantitative Aptitude for CAT by Arun Sharma.

  2. Concept Tree: YouTube (https://www.youtube.com/watch?v=3FRFRG_GUpw)

  3. Practice Sample Papers and previous year mensuration questions

Part-2: CAT 2024 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation) (h2)

CAT 2024 Syllabus Topic: Strategy to prepare “Logical Connectives” for CAT

Important Rules/ Tips and Tricks to solve the questions on Logical Connectives

  1. Rules

Logical Connectives

Given statement

Valid inference using symbol

Valid inference in words

If

If P=>Q

~Q=~P

Negative of the end part=> negative of starting part

When

When P=>Q

Whenever

Whenever P=>Q

every time

every time P=>Q

Only if

Only if P=>Q

~P=>~Q

Negative of the start part=>negative of the end part.

Unless

Unless P=>Q

~Q=>P

Negative of the end part=>starting part unchanged.

Otherwise

P otherwise Q=> rewrite as UnlessP=>Q.

Either or

Either P or Q

  • ~Q=>P

  • ~P=>Q

Negative of any one part=> remaining part remains unchanged.

  1. Rewrite the given statement by putting a logical connective at the beginning of the statement if it is not already there and reverse the conditions to check the validity of the new statement.

  1. Also check whether the negatives of both conditions still hold true.

  1. Practice the varieties of questions based on patterns of CAT and other MBA entrance Exams.

CAT/ MBA Entrance Exam Previous Years Questions on Logical Connectives

Q1. Examine the following statements:

I. I listen to 91.9 FM only if I am in a happy mood.

II. I am never in a happy mood when I have my brother’s company.

III. Whenever I go shopping I take my brother along.

Which one of the following conclusions can be drawn from the above statements?

  1. If I am in a happy mood, I listen to 91.9 FM.

  2. If I am in a happy mood, I seek my brother’s company.

  3. If I am not with my brother, then I’ll listen to the 91.9 FM.

  4. If I am not happy I do not listen to the 91.9 FM. [Based on PYQ]

Solution: D

Only (d) can be drawn from the above statements.

If I am in a happy mood does not conclude that I will listen to 91.9 FM.

It is given that if I am in my brother’s company, I can never be in a happy mood. So, this conclusion is totally wrong.

No such relation is given

Q2. If Amit walks slower than Sumit, and Sumit walks as fast but not faster than Bhanu; then, as compared to Amit, Bhanu walks: [Based on PYQ]

  1. slower than Amit

  2. faster than Amit

  3. with the same speed as Amit

  4. Given data is not sufficient to determine

Solution: (b)

From the given information, we get the following.

Bhanu = Sumit > Amit

Bhanu walks faster than Amit.

CAT entrance exam: Prerequisite to Logical Connectives

  1. Analytical Approach

  2. Basics of Syllogism ism and Logical Deduction

References to CAT Study (Theory) for Logical Connectives

  1. A new approach to Reasoning (B.S. Sijwali & S. Sijwali Arihant)

  2. FundaMakers-CAT Preparation (YouTube link: https://www.youtube.com/watch?v=wVjpq7db4JI)

References to Practice CAT Logical Connectives

  1. Analytical Reasoning by M. K. Pandey.

  2. MBA Entrance Previous years Papers and Sample Papers.

  3. PrepLadder CAT (YouTube: https://www.youtube.com/watch?v=PyJAWeMDJvg)

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

CAT Exam Important Topic: Strategy to Prepare “Para jumbles” (Part-3) for CAT-2024

Previous Years' Questions on Para Jumbles from the CAT Exam

Q1. CAT Para jumbles Questions with Solutions are given below:

The four sentences (labelled 1, 2, 3, 4) below, when properly sequenced would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer: (CAT 2021)

  1. But today there is an epochal challenge to rethink and reconstitute the vision and practice of development as a shared responsibility – a sharing which binds both the agent and the audience, the developed world and the developing, in a bond of shared destiny.

  1. We are at a crossroads now in our vision and practice of development.

  1. This calls for the cultivation of an appropriate ethical mode of being in our lives which enables us to realize this global and planetary situation of shared living and responsibility.

  2. Half a century ago, development began as a hope for a better human possibility, but in the last fifty years, this hope has lost itself in the dreary desert of various kinds of hegemonic applications.

Ans: 2-4-1-3

Explanation: Sentence 2 indicates the main idea of the paragraph therefore it can be used as the best opening sentence. Sentence 4 describes the development process and how it has been lost his way. Sentence 1 tells the view of today’s development. Sentence 3 contains the complete idea which has been discussed in 2. So, 2413 is the correct order.

Q2. CAT Para jumbles Questions with Solutions are given below:

The five sentences (labelled 1, 2, 3, 4, 5) below, when properly sequenced would yield a coherent paragraph. Decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer: (CAT 2017)

  1. One of the most dramatic examples in nature of ill wind that blows goodness is lightning.

  2. In its aerial form nitrogen is insoluble, unusable and in need of transformation.

  3. Lightning starts the series of chemical reactions that need to happen to nitrogen, ultimately helping it nourish our earth.

  4. Nitrogen — an essential food for plants — is an abundant resource, with about 22 million tons of it floating over each square mile of earth.

  5. Before plants can take life from the atmosphere, nitrogen must undergo transformations similar to the ones that food undergoes in our digestive machinery.

Ans: 5-3-4-2-1

Explanation: In the above passage, 5 is assigned as the best second opening statement. As it talked about the major idea of the passage. Then, 3 explains why it happens. 4 elaborate on this. So,5-3-4-2-1 is the right order.

Q3. Para jumbles CAT Questions with Solutions are given below:

The four sentences (labelled 1, 2, 3) below, when properly sequenced would yield a coherent paragraph. As the position of the opening sentence is already fixed (A), decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer: (CAT 2018)

  1. Impartiality and objectivity are fiendishly difficult concepts that can cause all sorts of injustices even if transparently implemented.

  2. It encourages us into bubbles of people we know and like while blinding us to different perspectives, but the deeper problem of ‘transparency’ lies in the words “and much more”.

  3. Twitter’s website says that “tweets you are likely to care about most will show up first in your timeline based on accounts you interact with most, tweets you engage with, and much more.”

  4. We are only told some of the basic principles, and we can’t see the algorithm itself, making it hard for citizens to analyse the system sensibly or fairly or be convinced of its impartiality and objectivity.

Ans: 3-2-4

Explanation: 324 is a clear sequence: all three sentences signify Twitter’s rules. 2 comes after 3, as the pronoun ‘it’ that starts 2 could only be pointed to the statement on Twitter’s website elaborated in 3.

Q4. The four sentences (labelled 1, 2, 3) below, when properly sequenced would yield a coherent paragraph. As the position of the closing sentence is already fixed (4), decide on the proper sequencing of the order of the sentences and key in the sequence of the four numbers as your answer:

  1. Including wearing a “hijab” or headscarf that is supposed to completely hide the hair.

  2. Many Iranian women, especially in major cities, have long played a game of cat-and-mouse with authorities.

  3. Iran’s Islamic Republic requires women to cover up in public.

  4. With younger generations wearing loose scarves and outfits that push the boundaries of conservative dress.

Ans: 3-1-2

Explanation: 312 is the best sequence. 3 is the best opening statement. Then comes 1 as 1 completes the sentence that has been left unfinished in 3. 2 contains the full idea that has been discussed in 1.

CAT Pre-requisite

  1. The basic idea of sentence structure.

  2. Reading speed should be good and able to understand the idea of the passage.

  3. Basics of Arranging the statements.

References to Study (Theory)para jumbles for CAT

  1. Oxford Practice Grammar (sixth edition)

  2. engvid.com (Web)

References to Practice CAT Para jumbles Questions

  1. 2 IIM (Web and Youtube)

  2. Bodhee Prep CAT Preparation (Web and YouTube)

  3. CAT Previous years Papers and Sample Papers.

Do your practice and stay focused; Day 48 will be back tomorrow.

Thank you!

All the best!

Frequently Asked Questions (FAQs)

1. What is Mensuration, and why is it significant in the CAT?

Mensuration is the calculation of areas, volumes, and surface areas of forms such as circles and squares. It's crucial since these types of problems often occur on the CAT exam, and understanding the formulae will help you score higher.

2. How can I enhance my speed on Sphere questions?

To do well on Sphere-related topics, concentrate on understanding the surface area and volume formula. Practice various problems and use the formulae properly. Regular practice will help you become quicker and more precise.

3. What are logical deductions, and how do you solve them?

Logical deductions are reasoning problems that require you to draw decisions based on the information provided. To solve them, read attentively, seek for key words, and use reasoning to arrive at the solution. Practice will allow you to improve.

4. Can I improve my ability to solve parajumbles?

In parajumbles, sentences must be arranged in the correct sequence. To improve, seek for hints such as linking words and pronouns, and practice organizing sentences so they make sense.

5. Are there any shortcuts to Mensuration questions?

While there is no simple shortcut, you may improve your speed by remembering important concepts and practicing often. Mock exams may also help you become faster and more comfortable.

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Questions related to CAT

Have a question related to CAT ?

With a 59.95 percentile in CAT 2024 under ST reservation category you can get into the following colleges (tentatively):

  • IIM Kashipur
  • IIM Trichy
  • IIM Raipur
  • IIM Udaipur
  • IIM Ranchi
  • MDI Gurgaon
  • IMI Delhi
  • IMT Ghaziabad
  • Great lakes institute of management
  • TAPMI Manipal

However do remember ultimately it's your academic background, work experience and performance in GD-PI that influence your selection in colleges the most.

All the best!

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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