CAT Prodigy: Nailing Set Theory, Mathematical Grids, and Depth understanding of Idioms & Phrases- Day 50

CAT Prodigy: Nailing Set Theory, Mathematical Grids, and Depth understanding of Idioms & Phrases- Day 50

Edited By Irshad Anwar | Updated on Sep 19, 2024 10:31 AM IST | #CAT

Hello, aspiring CAT 2024 candidates, The CAT exam 2024, scheduled for November 24 in preparation for MBA admissions for session 2025 - 2027, will release its admit card soon. In the continuation of the CAT 2024 60 days preparation guide series of Careers360, on day 50 we will discuss the strategies for Set Theory questions for the CAT exam, problems on grids and idioms and phrases for CAT 2024 that can help you prepare well and crack the CAT entrance test 2024. Students can download the Set Theory CAT Questions pdf.

CAT Prodigy: Nailing Set Theory, Mathematical Grids, and Depth understanding of Idioms & Phrases- Day 50
CAT Prodigy: Nailing Set Theory, Mathematical Grids, and Depth understanding of Idioms & Phrases- Day 50

This article mainly includes Set theory for CAT exam, Solved set theory questions, Venn diagram CAT questions, Maths Grid Quadrants and Idioms for MBA exam.

CAT Preparation 2024 in 60 days

Part-1: Quantitative Aptitude for CAT exam

Important Concepts/Formula Used in Set Theory Questions for CAT. CAT questions on grid Puzzle with solutions are given below:

Concepts are Formulas Used in set theory for CAT exam are given below:

  • Set Notation

Ex: Set of Even numbers between 1 to 10

S = {2, 4, 6, 8, 10}

  • Cardinality of Set: number of elements in a set

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In the above example it is 5.

  • Types of Sets:

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Null/Empty Set: does not contain any element i.e. { }

Singleton Set: contains one element only.

Finite Set: elements in that set are finite.

Ex: S = {2, 4, 6, 8, 10}

Infinite Set: elements are not finite whether countable or Uncountable.

ex, A = {x: x Є N}

Subset of A Set: B = {1,2} and S = {1, 2, 3, 4, 5}; B is a subset of S.

Equal Sets: Contain the same number of elements.

Universal Set: Contain all the objects.

CAT Set theory questions , Union and Intersection

  • Union of Sets: A = {1, 2} and B = {2, 3, 4}, then

AᴜB = {1, 2, 3, 4}

  • Intersection of Sets: A = {1, 2} and B = {2, 3, 4}, then A∩B = {2}

Complement of a set: If U = {1, 2, 3, 4, 5} and A = {1, 2}, then A’ = {3, 4, 5}

CAT Previous Year Questions on Set Theory (CAT past year venn diagram questions):

Q1. For two sets A and B, let AΔB denote the set of elements that belong to A or B but not both. If P = {1,2,3,4}, Q = {2,3,5,6,}, R = {1,3,7,8,9}, S = {2,4,9,10}, then the number of elements in (PΔQ)Δ(RΔS) is [CAT 2018, slot 2]

  1. 7

  2. 8

  3. 9

  4. 6

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Set theory questions CAT with solutions are given below:

Solution: [1]

The following Venn diagram best represents AΔB

1695626457020

Therefore, AΔB = AUB - A∩B

So, PΔQ = PUQ - P∩Q = {1, 4, 5, 6}

And RΔS = RUS - R∩S = {1, 2, 3, 4, 7, 8, 10}

Then, (PΔQ)Δ(RΔS) = (PΔQ)U(RΔS) - (PΔQ) ∩ (RΔS) = {2, 3, 5, 6, 7, 8, 10}

So, the number of elements in (PΔQ)Δ(RΔS) = 7.

Q2. Set theory MCQ is given below:

A club has 256 members of whom 144 can play football, 123 can play tennis, and 132 can play cricket. Moreover, 58 members can play both football and tennis, 25 can play both cricket and tennis, and 63 can play both football and cricket. If every member can play at least one game, then the number of members who can play only tennis is [CAT 2019, Slot 1]

  1. 32

  2. 43

  3. 38

  4. 45

Set theory questions CAT with solutions are given below:

Answer: [2]

1695626458096

n(FUTUC) = 256; n(F) = 144; n(T) = 123; n(C) = 132; n(F∩T) = 58; n(C∩T) = 25; n(F∩C) = 63

Also, we know that

We know that (AUBUC) = n(A) + n(B) +n(C) - n(A∩B) - n(B ∩C) - n(C∩A) + n(A ∩B∩C)1695626457618

So, 256 = 144 + 123 + 132 - 58 - 25 - 63 + n (F T ∩C)n (F∩T∩C) = 256 - 253 = 3

So, number of students who play Table Tennis only = n(T) – n(F∩T) – n(T∩C) + n(F∩T∩C)

number of students who play Table Tennis only = 123 – 58 – 25 + 3 = 43

CAT Exam Important Topic: Strategy to Prepare CAT: Set Theory and Set Theory Questions for CAT.

Find the tips and trick of set theory for CAT exam below:

  1. Learn the laws of Algebra (for SET)

  • AUB = BUA

  • A∩B = B∩A

  • (AUB)UC = AU(BUC)

  • (A∩B)∩C = A∩(B∩C)

  • AU(B∩C) = (AUB)∩(AUC)

  • A∩(BUC) = (A∩B)U(A∩C)

  • AᴜU = A

  • A∩U = A

  • AUA’ = U

  • A∩A’ = { }

  1. Use a Venn diagram while solving the questions.

  1. Learn the concept of Boolean Algebra.

  1. Practice Previous Years Set Theory CAT Questions to get an idea of questions.

CAT entrance exam: Prerequisite to CAT Set Theory

You must be well aware of the following before solving set theory questions for competitive exam:

  1. Venn Diagram

  2. Boolean Algebra

References to Study (Theory) CAT Set Theory

Study below given resources for set theory questions for competitive exam:

  1. NCERT Mathematics Class 11 and 12

  2. How to Prepare Quantitative Aptitude by Arun Sharma (7th Edition)

CAT study material: References to Practice CAT Questions on Set Theory

CAT Exam 2024: Set Theory

  1. Quantitative Aptitude by R S Agrawal.

  2. Easy Ganit: YouTube (https://www.youtube.com/watch?v=fi8YO7k1trY)

  3. https://www.youtube.com/watch?v=iul2Y3bvsXM

  4. Practice Sample Papers on Solved Set Theory Questions

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

CAT 2024 Syllabus Topic: Strategy to prepare “Mathematical Grid” for CAT

Important Concept/Formula Used in Problems on Grids

These questions are basically the application of topics such as Arrangement, Permutation and Combination, Average. So, students must have a higher degree of understanding of these.

Grid-ins Sample Question Based on CAT Previous Years Questions:

In an 8 X 8 chessboard, a queen placed anywhere can attack another piece if the piece is present in the same row, or in the same column or in any diagonal position in any possible 4 directions, provided there is no other piece in between in the path from the queen to that piece. The columns are labelled a to h (left to right) and the rows are numbered 1 to 8 (bottom to top). The position of a piece is given by the combination of column and row labels. For example, position c5 means that the piece is in the cth column and 5th row.

Q1) Grid-ins Sample Question is given below:

If the queen is at c5, and the other pieces are at positions c2, g1, g3, g5 and a3, how many are under attack by the queen? There are no other pieces on the board.

  1. 2

  2. 3

  3. 4

  4. 5

Ans: [C]

1695626458155

According to given question Queen can move UP, DOWN, LEFT, RIGHT and DIAGONALLY so Queen positioned in the above matrix it can attack L1, L4, L2 and L5 as well so only 4 positions are under attack.

Q2) CAT questions on grid puzzles are given below:

If the other pieces are only at positions al, a3, b4, d7, h7 and h8, then which of the following positions of the queen results in the maximum number of pieces being under attack?

  1. f8

  2. a7

  3. c1

  4. d3

Ans: [D]

1695626458293


According to the given question, we need to position Queen such that she can attack the maximum number of fighters. So, the trick is to use each option one by one and you will find that D3 is the only option in which we attack 3 fighters and on the rest options, Queen can attack at max 2 fighters. So, the answer must be D3.

Tips/Tricks for CAT math grid quadrants

  1. Solve as much Sudoku as possible

  2. Solve puzzles books like Shakuntla Devi, George Summer’s

  3. Solve Arrangement Reasoning Puzzles

  4. Formulae related to Permutation &Combination and Averages must be thoroughly covered before attending these types of questions

CAT entrance exam: Pre-requisite

  1. Puzzle

  2. Sudoku

References to CAT Study (Theory)math grid quadrants

  1. LRDI by Nishit K. Sinha

  2. CAT Funda (YouTube link: https://www.youtube.com/watch?v=z69ElNGKPFs)

  3. Quantifiers cat Academy https://www.youtube.com/watch?v=DARbWHBZiv4

References to Study (Practice) Problems on Grids

  1. Cat Wordpandit Website

  2. MBA Entrance Previous years Papers and Sample Papers.

  3. Cat Pepration-iquanta https://www.youtube.com/watch?v=aizuiNK9BW4

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

CAT Exam Important Topic: Strategy to Prepare “Idioms and Phrases” (Part-2) for CAT 2024 exam

Students can download the following for more practice tests idioms and phrases for CAT exam pdf

Previous Years Questions on Idioms and Phrases for MBA exams

Tips and tricks for idioms and phrases using CAT previous years questions are given below:

Q1. Idioms for MBA exam are given below:

She took one of the cookies, but I turned a blind eye.

  1. To condemn someone

  2. To overlook

  3. To ignore something wrong

  4. To protest against something right

  5. To become blind after meeting an accident

Ans. Option C

Explanation: to “turn a blind eye” to something means to pretend not to have noticed it.

Idioms Trick: Eliminate wrong options

Option D and E is wrong according to the context of the sentence.

A can be eliminated as condemning has to do nothing with the meaning.

Option B and option C are close but if you closely look at option B, the word overlook means to fail something and blind eye means to ignore hence option C is correct.

Q2. Idioms for MBA exam are given below:

Yesterday’s test was a piece of cake:

  1. Very Sweet

  2. Very Tough

  3. Contains many questions

  4. Very Easy

Ans: D

Explanation:

Idioms Trick: See the context of Idiom

As a piece of cake is very easy to cut and eat, in the same context this idiom signifies that something that is very easy for you.

Q3. Phrases for mba exam are given below:

In the sentence below, replace the phrase underlined to make the sentence grammatically correct. If the sentence is correct, mark (d) i.e. “No correction required” is the answer.

Whether I stay in Delhi or Gurugram, it is all and one to me.

  1. all but one

  2. all one

  3. one and all

  4. No correction required

Ans: [b]

CAT Trick on Phrases: See the context of Phrase

Here Delhi or Gurugram makes no difference to me. Therefore, ‘all one’ will be the right choice.

Q4. In the following question, an idiom or proverb has been highlighted. Choose its correct meaning in the given context from the alternatives given below.

Rani played a cat-and-mouse game with all her friends.

  1. Rani played a game

  2. Rani had a cat

  3. Her friends gave her cats and mice

  4. She played like a cat with her friends who were all mice

Ans: [a]

CAT Trick: See the meaning of the Idiom and the context in which it is used

‘Cat and Mouse’ game means ‘to play a trick’. Option ‘a’ seems to be the best choice.

CAT 2024: Pre-requisite to Idioms and Phrases

  1. The basic idea of sentence structure.

  2. Good Vocabulary.

References to Study (Theory) idioms for CAT 2024 exam

  1. 200 Practical English Idioms by Alex Makar

  2. Knowation (YouTube: https://www.youtube.com/watch?v=trft83xQqyM)

References to Practice idioms and phrases questions for CAT exam

  1. 200 Practical English Idioms by Alex Makar

  2. engvid.com (Web)

  3. Ck cetking (YouTube: https://www.youtube.com/watch?v=XOJo60Jteb8)

Practice and remain focused; Day 51 will be posted tomorrow.

Thank you!

All the Best!

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Questions related to CAT

Have a question related to CAT ?

Hello there,

With a CRL rank of 1,53,000 and an EWS rank of 23,000 , it might be challenging to get a seat in CVR College of Engineering (CVRCE) for B.Tech through JEE Mains in the B Category (management quota) based on the typical cutoffs.

However, here are some considerations:

  1. B Category (Management Quota) : Generally, management quota seats may have a higher cutoff compared to regular seats, but they are still often more flexible.

  2. Specific Branch : You might have better chances in less competitive branches compared to high-demand ones like CSE or ECE . Branches like Mechanical , Civil , or Electrical might have slightly lower cutoffs.

    Recommended Steps:

  • Check Previous Cutoffs : Look at the last year's cutoff trends for the EWS category in CVR College of Engineering.

  • Direct Admission or Management Quota : You can inquire about direct admission or management quota options if you're considering alternatives.

  • Counseling and Choice Filling : During the counseling process, you can list CVRCE as one of your preferences to see if any seat becomes available.

It's best to contact the college directly or check their official admission guidelines for more precise information regarding your rank and the available options.



I would recommend you to use JEE Mains College Predictor Tool by Careers360 to get the list of possible colleges you can get with your rank or percentile.


I hope this answer helps you. If you have more queries, then feel free to share your questions with us, we will be happy to assist you.

Thank you, and I wish you all the best in your bright future.



Thanks for the info! Let's break this down to see your chances in KCET Engineering :

Your Details:

  • KCET Score (Expected): 60–70 marks

  • Board Marks (PCM): 205 out of 300

  • Category: CAT-1 (reserved)

  • Exam: KCET 2025

  • Stream: Engineering (PCM)

KCET Rank Prediction:

  • With 60–70 marks in KCET and 205 in boards , your KCET engineering rank may fall roughly between 35,000 to 50,000 (approx, varies by year).

  • CAT-1 category gives you reservation benefit , which improves your chances significantly.

Colleges You Might Get (CSE or Other Branches):

CSE:

  • You might get CSE in:

    1. PES Mandya

    2. KSIT Bangalore

    3. AMC Engineering College

    4. Cambridge Institute of Technology

    5. RNSIT (maybe in later rounds)

Other Branches (more chances):

  • ECE, ME, Civil, IT in better colleges like:

    1. Dayananda Sagar College

    2. New Horizon College

    3. Acharya Institute

    4. Sapthagiri, SJBIT, etc.

Tips:

  1. Use option entry wisely during KCET counselling.

  2. List both CSE + other branches to improve chances.

  3. Keep track of mock allotments to adjust preferences.

Although, it's very unlikely that you will secure a seat in top ABM with CAT 67 percentile. Here's is a breakdown to your question:

· CAT Percentile vs. Score: A CAT score of 67 typically translates to a percentile in the range of 90-95 percentile based on the provided data from previous years. While this is a decent score overall, it falls short of the cutoffs for most top-tier ABM programs.

· Cutoffs for Top ABM Institutes:

  • IIM Lucknow: For their PGP-ABM program, the qualifying CAT cutoff for the general category is around 85 percentile . However, the actual cutoff for shortlisting for the Written Ability Test (WAT) and Personal Interview (PI) stages is likely to be higher.
  • IIM Ahmedabad: While they also offer an ABM program (PGP-FABM), their minimum qualifying CAT cutoff is around 80 percentile , but the final admission cutoffs are usually much higher, often in the 99+ percentile range for general candidates.
  • MANAGE (National Institute of Agricultural Extension Management): Their cutoff in CAT percentile has been around 70 for the general category in recent years. With a 67 percentile, you might have a slim chance here, but it's still competitive.
  • CCS NIAM (National Institute of Agricultural Marketing, Jaipur): They consider CAT scores with a significant weightage (30-51% in their selection criteria). While they don't explicitly state a cutoff, it's reasonable to assume it would be higher than 67 percentile for a good chance of admission.

· Overall Good CAT Score: Generally, a CAT percentile of 90 and above is considered a good score for securing admission to decent MBA programs in India. For top-tier institutes, a percentile of 95 and above is often preferred.

· MBA Colleges Accepting 60-70 Percentile: While there are MBA colleges that accept CAT scores in the 60-70 percentile range, these are generally not the top-ranked or most sought-after ABM programs. The focus of those lists is on general MBA programs, not specifically ABM.

While securing a seat in ABM can be tough, you can research about other colleges, consider other examinations, to improve your application profile.

You Got This !


Hello,

achieving a 99.99 pecentile in the CAT exam significantly enhances your prospects for admission to JBIMS, which evaluates candidates using an application rating(AR) score, which includes

-entrance exam score (CAT/MH-CET/CMAT) : 60% weightage

-Past Academic Record (PAR) : 15% weightage (https://cracku.in/colleges/jbims/admission-process/?utm_source=chatgpt.com)

-Extra-curricular Activities/Work Experience : 20% weightage (https://jbims.edu/uploads/announcement/Revised_M_Sc__Finance_Admission_Procedure_Batch_2024-26.pdf?utm_source=chatgpt.com)

-Diversity (Academic/Gender): 5% weightage

while ahigh CAT percentile is crucial, a lower academic record may impact your overall AR score. Nonetheless, exceptional performance in other areas, such as entrance exams and extracurricular activities, can help offset weaker academic credentials. it's advisable to review JBIMS's detailed admission criteria and consider strengthening other aspects of your application to enhance your chances


To find the 2024 MHT CET answer key, you'll need to check the official Maharashtra State Common Entrance Test Cell website. This is the primary source for all official announcements and documents related to the MHT CET exam. After the exam concludes, the CET Cell typically releases a provisional answer key.

Once released, the provisional answer key will likely be available as a downloadable PDF file. You'll need to navigate to the official website, look for the MHT CET section, and find the link related to the answer key. This link might be labelled "MHT CET 2024 Answer Key" or something similar.

After downloading the answer key, you can compare your responses with the official answers. If you find any discrepancies or have objections, the CET Cell usually provides a window for raising objections. You'll likely need to pay a specified fee for each objection raised. The official website will provide instructions on how to submit your objections, which may involve logging into your candidate portal and following the provided steps.

Finally, after considering all objections, the CET Cell will publish a final answer key. This final version is considered definitive, and the MHT CET results will be based on it. Keep an eye on the official website for all updates and announcements regarding the 2024 answer key.


I hope this helps.



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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