How To Prepare CAT Quantitative Aptitude Strategy | DI, VA and LR - Day 3

How To Prepare CAT Quantitative Aptitude Strategy | DI, VA and LR - Day 3

Edited By Team Careers360 | Updated on Nov 07, 2024 08:09 AM IST | #CAT

The CAT 2024 exam for MBA admissions will be conducted in November 2024, and we've prepared a 60-day study plan to help you qualify for the exam. The Common Admission Test (CAT) is difficult, and being acquainted with its ideas is critical to passing it. In this article, we will go over three important topics: divisibility laws, line graphs, and verbs. These topics are typically included in the CAT examination, so studying them will help you prepare. We will also go over some previous year's questions to help you prepare.

How To Prepare CAT Quantitative Aptitude Strategy | DI, VA and LR - Day 3
How To Prepare CAT Quantitative Aptitude Strategy | DI, VA and LR - Day 3

Divisibility:

To solve the Divisibility and remainder CAT questions, you must know the divisibility rules for different prime and composite numbers.

Here are some rules:

Divisor

Divisibility condition

Examples

2

The last digit is even (0, 2, 4, 6, or 8).

1,564: 4 is even.

3 or 9

Sum the digits. If the result is divisible by 3 (9), then the original number is divisible by 3 (9).

405 → 4 + 0 + 5 = 9 and 699 → 6 + 9 + 9 = 24 which both are clearly divisible by 3.

405 is divisible by 9 also but 699 is not.

4

Examine the last two digits.

46532: 32 is divisible by 4.

5

The last digit is 0 or 5.

875: the last digit is 5.

6

It is divisible by 2 and by 3.

1,368: 1 + 3 + 6 + 8 = 18, so it is divisible by 3 and the last digit is even, hence the number is divisible by 6.

8

Examine the last three digits.

84176: Examine divisibility of just 176: 22 × 8 = 176

11

Form the alternating sum of the digits.

918,082: 9 − 1 + 8 − 0 + 8 − 2 = 22.

Eg: (i) 369 is divisible by 3 since some of the digits are divisible by 3.

(ii) 678 is divisible by 6 since it is divisible by both 2 and 3.

How will you check whether a number is divisible by 18, 24, or 72 (composite numbers)?

Do the Co-prime factors of the divisor. And the given number must be divisible by co-prime factors.

18 = 2 and 9 (For 18, the number should be divisible by 2 and 9 both)

24 = 3 and 8 (For 24, the number should be divisible by 3 and 8 both)

72 = 8 and 9 (For 72, the number should be divisible by 8 and 9 both)

Remainders:

As we all know

Dividend = Divisor x Quotient + Remainders

Questions based on remainders are being asked in the CAT exam. You must prepare this topic separately as there are many rules to find the remainder. Some of them are listed below:

  • Binomial Theorem

  • Method of Cancellation

  • Fermat Little Theorem

  • Chinese Remainder Theorem

  • Wilson Theorem

CAT Quant Questions With Solutions (Number System) From CAT Previous Year Papers/ CAT questions on Divisibility Rules:

Question 1. The remainder when 292929 is divided by 9 is? [IPMAT 2019]

  1. 3

  2. 4

  3. 2

  4. 1

Solution: (A)

If we divide 29 by 9, the remainder is 2.

So, we now will divide 22929 i.e. 2841 to get the remainder.

2841 can be written as 2(3x280+1) = (8280)x2

When we divide 8 by 9, the remainder is -1.

When divided by 9, will give as the remainder of ((-1)280)x2 = 2

1694779517972

Question 2: If then x divided by 70 leaves a remainder of: [CATQuestion Paper 2005]

  1. 0

  2. 1

  3. 69

  4. 35

CAT remainders questions with solution

Solution: (A)

Rem (163/70) = Rem (4096/70) = 36

Rem (173/70) = Rem (4913/70) = 13

Rem (183/70) = Rem (5832/70) = 22

Rem (193/70) = Rem (6859/70) = 69

Net Remainder = 36 + 13 + 22 + 69 = 140.

When 140 is divided by 70, the remainder is 0.

Question 3. How many of the integers 1, 2, … , 120, are divisible by none of 2, 5 and 7? [CAT Question Paper 2020]

  1. 41

  2. 42

  3. 40

  4. 43

Ans: (A)

Number of multiples of 2= 2, 4, 6, 8, ………, 120 (Total of 60 numbers)

Number of multiples of 5 = 5, 10, 15, 20……….., 120 (Total of 24 numbers)

Number of multiples of 7 = 7, 14, 21, …….., 119 (Total of 17 numbers)

Number of multiples of 2 and 5 =10, 20, …., 120 (Total of 12 numbers)

Number of multiples of 2 and 7 = 14, 28, ………, 112 (Total of 8 numbers)

Number of multiples of 7 and 5 = 35, 70, 105 (Total of 3 numbers)

Number of multiples of 2, 5 and 7 = 70 (Total of 1 number)

Total Numbers divisible by any of 2, 5 or 7 =(1) + (2) + (3) – (4) –(5) –(6) +(7)= 60+ 24+ 17 – 12 - 8 – 3 + 1= 79

Therefore, Numbers divisible by none of 2, 5 and 7 = 120 – 79 = 41.

Prerequisite:

The CAT exam requires students to have knowledge of the basic elements that are given below.

  • Prime numbers, composites, and Co-Primes

  • Even and Odd numbers

  • Digit Sum

  • Binomial Expansion

  • Multiples and Factors

  • Expansion of (a+b)n and (a-b)n where n is any positive integer.

Tips On CAT Preparation For Number System:

  1. Remainder is equal to sum of individual remainders.

Eg: If (72 + 37 + 89) is divided by 7

Remainder = Rem (72/7) + Rem (37/7) + Rem (89/7) = 2 + 2+ 5 =9

Since sum is greater than 7, again divide 9 by 7 to find the remainder i.e. 2.

  1. A number is divisible by a composite number if only if it is divisible by its co-prime factors.

  2. Learn Divisibility rules and apply them to different questions for better CAT Quant preparation.

CAT Quant Preparation Material Reference

References to Study (Theory):

  • Learn the concept of class 9 Mathematics NCERT (For Theory)

  • Arun Sharma: A Quantitative Approach for CAT Quant preparation(6th Edition)

  • YouTube Channel of 2iim

References to Study (Practice):

  • MASTER Number System for CAT and GMAT by Nishit K Sinha.

  • Question bank from CAT-Holic

  • Sample Papers

  • CAT previous year papers

Part-2: Logical Reasoning And Data Interpretation

Topic: Data Interpretation (Line Graph)

As discussed in the previous article, Data interpretation is the most important topic for CAT Exam and other management entrance Exams. We have discussed the strategies to prepare Bar graphs and Pie charts previously.

In this section, we will learn about line graphs. Similar skills like Skills of observation, doing calculations quickly, analyzing things, and comparison of values will be required while solving the problems of DI based on Line graphs.

What is a Line Graph?

In this section, we will focus on the most basic aspects of a line graph and how to solve line graph questions.

1694779518305

  • On the y-axis, a dependent variable is taken while on the x-axis, an independent variable is taken.

  • Dots represent the values of x and y variables at that point.

  • Line gives a visual representation of the data and its variation.

  • Vertical Label: Name of Dependent Variable

  • Horizontal Label: Name of Independent Variable

  • Slope of the line gives the variation of data i.e. if slope is positive then growth is positive and if slope is negative then growth is negative

Questions On-Line Graph From CAT Previous Year Papers/ Line graph questions for CAT

Direction: The following graphs give the revenue and growth rates (yoy) of 4 divisions of Garbage Inc., a company that specializes in waste management:

1694779518464

1694779518721

Question 1. What were the total revenues in 2011?

  1. Rs. 640 Crores

  2. Rs. 725 Crores

  3. Rs. 760 Crores

  4. Rs. 680 Crores

Solution: (B)

Division

Revenue (2010)

Growth Rate (2011)

Revenue (2011)

Approx.

Leather

230

-10.9 %

205

Paper

155

-1.9 %

248

Pharma

225

10.2 %

152

Technology

92

30.4%

120

Total

702


725

Question 2. In the year 2013, what was the share of revenues of the division Pharma?

  1. 27%

  2. 35%

  3. 19%

  4. 22%

Solution: (D)

Division

Revenue (2012)

Growth Rate (2013)

Revenue (2013)

Approx.

Leather

232

7.8 %

250

Paper

145

-5.4 %

140

Pharma

195

-20%

156

Technology

145

10.3%

160

Total

720


706

Revenue of Pharma Sector in 2013 = Rs 156 Crore

Total Revenue of company in 2013 = Rs 706 Crore

Share of Pharma = 156x100/706 = 22 %.

Question 3. Which year saw the highest percentage growth in revenues overall?

  1. 2009

  2. 2011

  3. 2012

  4. 2013

  5. 2014

Solution: (A)

From the solutions of Q1, Q2, and Graphs:

Total Revenue in 2008 (In Crores) = (62 + 88 + 156 + 212) = 518

Total Revenue in 2010 (In Crores) = 702

Total Revenue in 2011 (In Crores) = 725

Total Revenue in 2012 (In Crores) = 720

Total Revenue in 2013 (In Crores) = 706

Total Revenue in 2014 (In Crores) = (130 + 172 + 180 + 262) = 744

We need to Calculate Revenue in 2009 and 2015.

Division

Revenue (2008)

Growth Rate (2009)

Revenue (2009)

Approx.

Revenue (2014)

Growth Rate (2015)

Revenue (2015)

Approx.

Leather

212

6.1 %

225

262

3.1%

270

Paper

156

2.6 %

160

130

-7.7%

120

Pharma

88

72.7%

152

180

4.7%

188.5

Technology

62

21%

75

172

5%

180.5

Total

518


612

744


759

Year

Revenue

Growth (Current year- Previous Year)

2008

518


2009

612

612- 518 = 94

2010

702

702- 612 = 90

2011

725

725 – 702 = 23

2012

720

720 – 725 = -5

2013

706

706- 720 = -14

2014

744

744- 706 = 38

2015

759

759- 744 = 15

If we observe the data in the above table, the growth rate is maximum for the year 2009 since it shows maximum growth (94) on minimum value (518). So, we need not to calculate the growth rate separately for every year.

Our answer is option A.

Prerequisite:

To Prepare Data Interpretation (Line graph) for the CAT exam, a student must learn

  • The Basics of Coordinate Geometry

  • Percentage (Basic)

  • Average

  • Knowledge of fractions and Ratio

  • Basics of statistics

Tips On CAT Preparation For Data Interpretation Line Graph questions (Line Graph questions for CAT):

  1. Practice questions on Simplification and Approximation, Percentage .

  2. Identify the trend of graphs.

  3. Compare values to find the growth rate instead of calculating percentage.

  4. Use the tables to interpret the data instead of writing long sentences (It will save your time).

  5. Practice solving the questions of percentages with the help of fractions.

References To Study (Theory):

  1. LRDI for CAT and GMAT by Nishit K Sinha.

  2. To learn the basics of bar graphs read statistics of class 9 and Class 10 Mathematics from NCERT (For Theory)

  3. Kailasha Online Learning Classroom YouTube Channel

References To Study (Practice):

  1. Sample Papers

  2. Question bank from CAT-Holic

  3. How to Prepare for Data Interpretation for CAT by Arun Sharma

  4. CAT previous year's papers

Part-3: VARCTopic: Verb and its Uses:

Verbs are part of “parts of speech,” which express an action or the state of being.

Examples:

He missed the train. (Here, "missed" describes the action.)

The dog is sleeping. (In this, "sleeping" expresses the state.)

Further, verbs can be classified as

  • Transitive,

  • Intransitive

  • Helping verbs.

In the above example 1, "missed" is a transitive word.

In example 2, ‘sleep’ is an intransitive verb.

In example 2, "is" is a helping verb, while "sleeping" is the main (action) verb.

Questions On Verb from CAT Previous Year Papers

Q.1 Direction: Choose the option with the wrong use of the verb

  1. This has slowed the process
  2. of reforms in many countries
  3. because the choice of either of the extreme
  4. positions inevitably invites criticism.

Ans: D

“Invites” should come instead of invite (for singular noun: “either of extreme positions” forms singular clause)

Q2. Whether or not the rumours are true is beside the point.

  1. the rumours are true are beside the point.

  2. the rumours are true is beside the point.

  3. the rumours are true are beside the point.

  4. No correction required

Ans: B

‘the rumours are true’ is a noun clause, so ís’ should come in place of áre’.

Q3. Just as every generation believes it’s better than the others, so too does every country.

  1. believe they’re better than the others, every country believes it’s better too.
  2. believe they’re better than the others, so too does every country.
  3. believes it's better than the others, every country believes so too.
  4. No correction required

Ans: D

Correct use of pronouns and verbs is there.

Prerequisite:

  • Basic Knowledge of Tenses

  • Basic Knowledge of Sentence Formation

  • Knowledge of Nouns and Pronouns

Tips On CAT Preparation for Verbal Ability (Verb and its Uses):

  1. Practice sentence formation by using different forms of the verb and analyze the change in the meaning of the sentence. In this way, you will learn the correct use of verbs.

  2. Learn the rules for the use of verbs.

  3. Reading Novels and newspapers (The Hindu) will certainly help you to learn the correct uses of Verbs.

References for Study (Theory):

  1. Advanced English Grammar by Martin Hewings

  2. 2iim YouTube Channel

References for Study (Practice):

  1. Question bank from CAT-Holic

  2. CAT previous year's papers

  3. How to Prepare for Verbal Ability & Reading Comprehension for CAT by Meenakshi Upadhyay and Arun Sharma (9th Edition)

Free PDFs for CAT 2024

Top Executive MBA Programmes in India


Click here to download

CAT Verbal Ability


Click here to download

Frequently Asked Questions (FAQs)

1. What is Line Graph?

A line graph is an easy method to demonstrate how something evolves over time or how two items are connected. To show these changes, it draws a line connecting points on the graph.

2. What is a Binomial Theorem?

The Binomial Theorem simplifies the expansion of formulas like (x+y)^n, particularly when n is large. Normally, expanding these equations would take a long time, but the Binomial Theorem gives a formula that makes the process faster and simpler. This involves learning how to compute binomial coefficients, grasping the elements of the theorem, and applying it to various applications. It's a handy tool for managing lengthy, complex expansions.

3. What does the X and Y axis represent on a Line Graph?
  • The X-axis (bottom line) usually depicts time or categories such as days, months, or types of item.

  • Y-axis (side line): Displays numbers such as sums, temperatures, or scores.

4. What is Verb and its uses?

A verb is a term that expresses what someone or something is doing or indicates a state of being. Verbs may describe activities, such as running or eating, or they can refer to additional information, such as stating that someone is satisfied. Some verbs, such as has and will, also aid in the expression of time. In layman's words, verbs are vital because they inform us what is occurring in the sentence, whether it's an action, an emotion, or a situation.

5. What is Total revenue?

Total revenue is the entire amount of money a firm earns by selling its goods or services. It is determined by multiplying the price of each item by the quantity sold. It refers to the company's sales profits before removing any expenses.

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Questions related to CAT

Have a question related to CAT ?

The student cannot join the postgraduate MA program directly in the second year of the MA after completing the MBA.


Universities generally expect students to begin the first year of a masters' program even though they had qualifications at the level of a bachelor's degree. The university's curriculum along with the courses are planned to give an in-depth knowledge of the subjects.


But you could opt for:


Postgraduate Studies:


Research Career: In case research interests you, then you can pursue a Ph.D. in your specific interest.

Specialized Master's Programs: Find any specific master's course that supports the career goal.

Professional Certifications:


Make a professional certification in CFA, CA, or FRM to enhance the professional skills and better opportunities in the career field.

Job Entry via MBA

After gaining an MBA from a renowned institution, it's possible to get entry into the corporate world where the diversity in the career field is assured.

In the end, it would depend on what you would like and what you are particularly interested in. It will be better if you take a suggestion from your academic advisor or career counselor.

Hello Pratik,

If your family income exceeds 8 LPA, it will affect your eligibility for the NC-OBC category under the CAT reservation rules. The NC-OBC category requires that the family income should be below 8 LPA to qualify. If you anticipate that your income will exceed this threshold, you should update your status and notify the CAT authorities .

Here's what you can do:

  1. Email the CAT authorities : Inform them about the potential change in your income status and request to be considered under the General category, if applicable. You should do this before the examination or any further processing, as your eligibility for the OBC category depends on the income criteria.

  2. Documents and Proof : Make sure you have a valid OBC certificate and any relevant documentation regarding your family income, in case they require verification. Also, be aware that if your income exceeds 8 LPA, you might need to apply under the General category, as the OBC-NC reservation is no longer applicable.

  3. General Category Consideration : If your application is accepted as General, you will be evaluated based on the General category criteria, including cutoffs and ranking.

To summarize, notifying the CAT authorities is the correct approach to avoid discrepancies later, and if your income is above the threshold, you will be treated as a General candidate for the admissions process.



For more details about CAT exam you can check out an article by Careers360 whose link is given below:

Link: https://bschool.careers360.com/exams/cat


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 wishing you all the best for your bright future.


Hi Shreya ,

Having a tattoo on your wrist should not  create a problem during the CAT exam as long as it does not contain any content that violates exam rules , such as communication-related symbols , unauthorised messages or any text resembling formulas or answers .

For a safe side , it is recommended :

1. Inform the Invigilators : Let them know about your tattoo during the identification check , so there are no misunderstandings .

2. Follow the Guidelines : Ensure you follow all instructions regarding permissible items and dress code on the exam day .

Hope this helps you .

ALL THE BEST .



To know about this please prefer our college predictor

Hello,

Yes, you can also join IIMs two years after graduation, depending upon the justification in interviews and your performance in entrance exams. If you are not sure about CAT, try those other management exams less hard:

Common Management Admission Test: Easier than CAT; 4-5 months of continuous preparation will suffice.

MAT : Much easier and takes place thrice a year.

SNAP (Symbiosis National Aptitude Test): A bit easier than CAT, apt for Symbiosis Institutes.

Xavier Aptitude Test or XAT : Hence, easier than CAT but the unique decision-making section.

Use exams like CMAT and MAT as a challenge to be competitively prepared. This can be given about 4-5 months, along with a few rounds of mock tests and smart studying.

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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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