Elevate Your Skills in Coordinate Geometry, Inequalities, and Idioms and Phrases using Targeted PYQs- Day 49

Elevate Your Skills in Coordinate Geometry, Inequalities, and Idioms and Phrases using Targeted PYQs- Day 49

Edited By Irshad Anwar | Updated on Sep 19, 2024 10:44 AM IST | #CAT

Hello CAT 2024 aspirants, The CAT exam 2024 is scheduled On November 24 for MBA admissions 2025-2027. In the continuation of the CAT 2024 60-day preparation guide series of Careers360, on day 49 we will discuss the strategies for Coordinate Geometry, Inequality and idioms and phrases Questions for CAT Exam that can help you prepare well and crack the CAT entrance test 2024. Students can download the coordinate geometry for cat pdf.

Elevate Your Skills in Coordinate Geometry, Inequalities, and Idioms and Phrases using Targeted PYQs- Day 49
Elevate Your Skills in Coordinate Geometry, Inequalities, and Idioms and Phrases using Targeted PYQs- Day 49

This article includes topics: Coordinate geometry questions,3-D coordinate system, Idioms and phrases questions for CAT exam, and questions on Inequalities. CAT Preparation 2024 in 60 days

Part-1: Quantitative Aptitude for CAT exam

Important Concept/Formula Used in Coordinate Geometry Questions

Formulas Used in CAT Questions on Coordinate Geometry are given below:

  • Distance Formula

1696071904582

  • Application of distance formula

  • Section Formula

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1696071904378

  • Equation of line, Circle, and other geometrical figures.

  • Concept of slope

  • Distance between two lines etc

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Comprehensive CAT prep guide with focused practice on Verbal Ability, Data Interpretation & Logical Reasoning, and Quantitative Aptitude.
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Previous Year CAT Geometry Questions: Coordinate Geometry Questions

Q1. CAT coordinate geometry questions are given below:

The points (2, 1) and (-3, -4) are opposite vertices of a parallelogram. If the other two vertices lie on the line x + 9y + c = 0, then c is [CAT 2020, slot 3]

  1. 15
  2. 13
  3. 14
  4. 12
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Solution: [3]

Diagonals of a parallelogram bisects each other.

So, the mid-point of (2, 1) and (-3, -4) must lie on the other diagonal also i.e. on the line x + 9y + c = 0.

Co-ordinate of mid-point of (2, 1) and (-3, -4) = {(2-3)/2, (1-4)/2} = (-1/2, -3/2)

This point satisfies x + 9y + c = 0.

So, -1/2 +9(-3/2) +c = 0

c = 14.

Q2. CAT coordinate geometry questions are given below:

A triangle ABC has an area of 32 sq units and its side BC, of length 8 units, lies on the line x = 4. Then the shortest possible distance between A and the point (0,0) is [CAT 2018, Slot 2]

  1. 4√2 units
  2. 2√2 units
  3. 4 units
  4. 8 units

Solution: [3]

Since BC = 8 units

½ x Height x BC = 32

Height = 8 units

1696071904810

Since the base lies on x = 4 and has a vertical height is of length = 8 units, A can either lie on the line x = 12 or on x = - 4

So, shortest possible distance to A from the point (0,0) = 4 units

CAT Exam Important Topic: Strategy to Prepare for “Coordinate Geometry” as well as for coordinate geometry questions

CAT Questions on Coordinate Geometry

  • Learn different form equations of the line.
  • Slopes of two parallel lines are equal.
  • y coordinate of x-axis is 0.
  • x coordinate of y-axis is 0.
  • If the area of a triangle is 0, then the triangle will not be formed and the points are collinear.
  • Divide the problems into sub-categories while practising.
  • Practice as much as you can to understand the variations in questions.

CAT entrance exam: Prerequisite to Coordinate Geometry Questions

  1. Basics of Geometry
  2. Cartesian System
  3. Linear Equation

CAT study material: References to Study (Theory) Coordinate Geometry Questions

  1. NCERT Mathematics Class 11 and 12
  2. Mission CAT (YouTube Channel: https://www.youtube.com/watch?v=pMfvgQCZrFs)

CAT study material: References to Practice CAT Questions on Coordinate Geometry

  1. How to prepare quantitative Aptitude for CAT by Arun Sharma.
  2. CAT Funda: YouTube (https://www.youtube.com/watch?v=P4Tpp9Fe4Ew)
  3. Practice Sample Papers

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

CAT 2024 Syllabus Topic: Strategy to prepare “Inequality” for CAT

Important Concepts/Formula Used in Inequality

Set of elements with several coded relationships mentioned using the inequality symbols are as follows:

  • A < B means A cannot be greater than or equal to B.
  • A > B means A cannot be less than or equal to B.
  • A ≤ B means A cannot be greater than B.
  • A ≥ B means A cannot be less than B.
  • A ≠ B means A is either greater or lesser than B.

Previous Years Questions on Inequality from CAT/ MBA Entrance Exam:

Q1. Statement: A < H > Y, Y ≤ N, N = X

Conclusion I: A = X

Conclusion II: H > N

  1. Only conclusion I is true
  2. Only conclusion II is true
  3. Both conclusions I and II are true
  4. Neither conclusion I nor II is true
  5. Either conclusion I or II is true

Solution: [2]

A < H > Y, it concludes that H is greater than both A and Y but we can not relate A and Y.

From 2nd and 3rd statements

Y ≤ N = X

So, from the above discussion we can not establish any relation between A and X.

Therefore, only conclusion II is true.

Q2.

Direction: Based on the information given below, answer the following questions:

A @ B, means B is greater than A

A & B, means B is smaller than A

A $ B, means B is equal to A

A # B, means B is greater than equal to A

A % B, means B is smaller than or equal to A

Statement: D @ Q $ R % S # X % U

Conclusion I: D % U

Conclusion II: R @ X

  1. Only conclusion I is true
  2. Only conclusion II is true
  3. Both conclusions I and II are true
  4. Neither conclusion I nor II is true
  5. Either conclusion I or II is true

Solution: [4]

Using codes rewrite the question statement.

D @ Q $ R % S # X % U

Statement:

D > Q = R ≤ S ≥ X≤ U

Conclusion I: D % U (D≤ U)

Conclusion II: R @ X (R > X)

From statement D > Q = R ≤ S ≥ X≤ U, the relation between D and U cannot be established since between D and U, both signs of ‘greater than’ and ‘less than’ are there. So, the conclusion I will not follows.

For the same reason, the relation between R and X also cannot be established.

Tips and Tricks for CAT Inequality

  1. Make a well understanding of symbols.

  2. Make rough diagrams while solving questions for a better understanding of codes.

  3. Learn properties of Inequality in reasoning.

  4. Understand the types of questions asked in Exams.

CAT entrance exam: Pre-requisite

  1. Linear Inequalities

  2. Coding-Decoding , Blood Relation

References to CAT Study (Theory)

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

  2. Mock Zone: MBA Preparation (YouTube: https://www.youtube.com/watch?v=K7HSUc8hv2A)

References to Study (Practice)

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

  2. MBA Entrance Previous years Papers and Sample Papers.

  3. (YouTube: https://www.youtube.com/watch?v=V9UjrHAuZUw)

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 questions for cat exam” (Part-1). Students can download the idioms and phrases for CAT exam pdf

Previous Years Questions on Idioms and Phrases for MBA exams

Also, idioms for CAT exam are given below -

  1. Hear it on the grapevine:

Meaning: To hear news from someone who heard the news from someone else

E.g. I heard through the grapevine that she is leaving the flat-is it true?

  1. Shot in the dark:

Meaning: A wild, unsubstantiated guess; also, an attempt that has little chance of success.

E.g. You can try looking for your ring but I think it’s a shot in the dark.

  1. Zero in on something:

Meaning: Focus all attention on one thing.

E.g. Researchers are hoping to zero in on the research.

  1. The best of both worlds:

Meaning: The benefits of widely differing situations, enjoyed at the same time.

E.g. I have the best of both worlds- an amazing family and great work.

  1. Cut your coat according to your cloth:

Meaning: Actions should suit circumstances or resources.

E.g. We belong to a middle-class family, and we always cut our coats according to our clothes.

  1. To step into a dead man’s shoes:

Meaning: To take over the position or role of someone who has died.

E.g. It is ill waiting for a dead man’s shoes.

  1. Halcyon Days:

Meaning: A very happy or successful period in the past.

E.g. I remember those halcyon days when everyone was friendly in nature.

  1. To backbite a person:

Meaning: To say mean things about a person.

For E.g. Neha always backbites her friend

  1. If the cap fits, wear it:

Meaning: Used as a way of suggesting that someone should accept a generalized remark or criticism as applying to themselves.

E.g. I told the council members what I think and I told them that if the cap fits, they should wear it.

  1. To make bricks without straw:

Meaning: Important and essential things.

E.g. You can’t crack the CAT examination If you have no command over verbal ability topics. You can’t make bricks without straw.

Tips and Tricks to Solve CAT Questions on Idioms and Phrases

  • Understand the context in which an idiom or phrase has been used. It will help you to understand and remember a particular idiom crystal clearly.
  • Prepare the list of idioms and phrases and write their meaning and context to learn them efficiently.
  • Pick 5, 7, or 10 idioms out of the list and use them in your day-to-day sentences.
  • If you find difficulty in learning any idiom and phrase, try relating them with the stories or things in order to ease the difficulty.

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 exam

  1. 200 Practical English Idioms by Alex Makar

  2. Word Power Made Easy by Norman Lewis

References to Practice idioms and phrases questions for CAT exam

  1. 200 Practical English Idioms by Alex Makar

  2. Word Power Made Easy by Norman Lewis

  3. engvid.com (Web)

Tomorrow we'll be back with Day 50, so practice and stay focused.

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Questions related to CAT

Have a question related to CAT ?

With a 98.55 percentile and rank of 22325 in JEE Main, your son has a reasonable chance of getting into a CSE or related branch at DTU (Delhi Technological University), especially if he's a Delhi region candidate.

DTU's CSE cutoff for general category candidates outside Delhi typically falls within the 10,000-12,000 rank range. A rank of 22325 might be a little high for CSE, but not impossible. It depends on the specific year's competition and seat availability.

You can predict the college here -:

https://www.careers360.com/college-predictor

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


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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