Decoding CAT 2025 Preparation: Exploring PnC, Selections, Syllogism Important PYQs, and Comparison - Day 37

Decoding CAT 2025 Preparation: Exploring PnC, Selections, Syllogism Important PYQs, and Comparison - Day 37

Edited By Team Careers360 | Updated on Apr 03, 2025 10:38 AM IST | #CAT

The CAT exam for MBA admissions is expected to take place in November 2025. In this 60-day CAT 2025 preparation guide series by Careers360, we’ll discuss strategies for tackling Permutation and Combination problems on Day 37, helping you prepare effectively and succeed in the CAT entrance test.

This article covers permutation and combination problems, syllogism questions with answers, and tips for understanding comparison in VARC. Permutation and combination problems are often considered challenging, and many aspirants struggle with them. To aid your preparation, we've included Permutation and Combination examples with answers, as well as previous years' questions (PYQs) for practice.

Decoding CAT 2025 Preparation: Exploring PnC, Selections, Syllogism Important PYQs, and Comparison - Day 37
Decoding CAT 2025 Preparation: Exploring PnC, Selections, Syllogism Important PYQs, and Comparison - Day 37

CAT Preparation 2025 in 60 days

Part-1: Quantitative Aptitude for CAT exam (Permutation and Combination Aptitude)

CAT Exam Important Topic: Strategy to Prepare Permutation and Combination (Selection, Grouping and Distribution) and permutation and combination problems.

Permutation and combination problems

  1. The number of permutations of n distinct items taking r items at a time is

nPr = n!/n-r!

  1. nPn = n!

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  1. nCr = nCn-r

CAT 2025: VARC, DILR, and Quant MCQs & Weightages
Comprehensive CAT prep guide with focused practice on Verbal Ability, Data Interpretation & Logical Reasoning, and Quantitative Aptitude.
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  1. Out of n given things, the number of ways of selecting any number = 2n -1.

  1. Dividing n items into two groups of p and q items

= n!/q! p!

  • If p =q and two groups are not identical; a number of groups will be n! /(p!)2

  • If p =q and two groups are identical; a number of groups will be n!/2! (p!)2

  1. The number of diagonals in an n-sided regular polygon = nC2 – n

  1. Divide questions of distributions into the following categories while solving:

  • Identical Objects Identical Places

  • Identical Objects Distinct Places

  • Distinct Objects Identical Places

  • Distinct Objects Distinct Places

  1. Learn all the formulas and understand their applications.

  1. Practice all kinds of Permutation and Combination problems.

CAT Exam:

Previous Year CAT Questions on Permutations and Combinations (Selections and Groupings, Distributions):

Q1. The number of ways of distributing 15 identical balloons, 6 identical pencils and 3 identical erasers among 3 children, such that each child gets at least four balloons and one pencil, is [TITA, CAT 2021 Slot-2]

Permutation and Combination examples with answers: 1000 ways

Given that, there are 15 identical balloons, 6 identical pencils, and 3 identical erasers.

We need to distribute these items among 3 children, such that each child gets at least four balloons and one pencil.

First, distribute 4 balloons and 1 pencil to each child. Now, we have 3 balloons, 3 pencils, and 3 erasers left with us after distribution.

Remaining balloons can be distributed in following possible combination;

(3, 0, 0), (2, 1, 0), (1, 1, 1)

(3, 0, 0) can be arranged in three ways.

(2, 1, 0) can be arranged in six ways.

(1, 1, 1) can be arranged in only one way.

The total ways of distributing the remaining balloons are 6+ 3+ 1= 10 ways.

Similarly, we can arrange 3 pencils in 10 ways and 3 erasers in 10 ways.

Therefore, the total number of ways is 10 x 10 x 10 = 1000 ways

Permutation and Combination Aptitude

Q2. In how many ways can 7 identical erasers be distributed among 4 kids in such a way that each kid gets at least one eraser. Still, nobody gets more than 3 erasers? [CAT 2017]

  1. 16

  2. 20

  3. 14

  4. 15

Permutation and combination examples with answers

Ans: A

We have to find by how many numbers of ways the erasers are distributed such that each kid gets at least one eraser but nobody gets more than 3 erasers.

4 kids are getting a, b, c, d erasers such that a + b + c + d = 7.

a = p+1

b = q+ 1

c = x+ 1

d = z+1 since each should have at least 1 eraser.

So, p + q+ x+ y = 3

number of ways of distribution = n+rCr-1; here n =3, r = 4(number of variables)

So, the number of ways of distribution = 6C3 = 20 ways

If one kid a, gets 4 erasers the other kids b, c, and d can get each one respectively such that 4, 1, 1, 1 or 1, 1, 1, 4 or 1, 4, 1, 1 or 1, 1, 4, 1 so there are chances of 4 ways.

So, required ways = 20 – 4 = 16 ways

CAT entrance exam: Pre-requisite to permutation and combination problems

CAT permutation and combination questions

  1. Vedic Maths

  2. Factorial

  3. Fundamental Principle of counting

CAT study material: References to Study (Theory)

Permutation and Combination problems:

  1. NCERT Class 11 Maths

  2. CAT Funda (YouTube, Link: https://www.youtube.com/watch?v=509qwiX-3qY)

  3. https://www.youtube.com/watch?v=QsKl5GbBcHU

Study material: References to Practice CAT Permutation and Combination Questions (Syllogism)

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

  2. CAT Funda (YouTube, Link: https://www.youtube.com/watch?v=RAOTFT1_Ynk)

Part-2: CAT 2025 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation)

CAT 2025 Syllabus Topic: Strategy to prepare “Syllogism through PYQs” (Part-2) and syllogism reasoning questions and Syllogism examples with answers

CAT Exam:

Previous Year CAT Questions on Syllogism from CAT/ MBA Entrance Exam:

Q1. The following question is given by 3 statements and 2 conclusions numbered I and II. Choose the right answer from the given options. [MAHCET MBA 2024]

Statements:

I. No Box is a Book.

II. Few cups are books.

III. Only a few knives are Boxes.

Conclusions:

I. Some Knives being a book is a possibility.

II. All Cups being a Book is a possibility.

  1. If only conclusion I follows

  2. If only conclusion II follows

  3. If either I or II follows

  4. If neither I nor II follows

  5. If both conclusions follow

Solution: [E]

Cat Tips for syllogism 1: Draw Venn Diagram first

Cat Tips for syllogism 2: ‘A few’ means ‘some’

Cat Tips for syllogism 3: Go through Conclusions.

Conclusion 1: Some Knives being a book is a possibility.

Some Knives are there which are not certain to be either Boxes or Books. Therefore, Some knives can be book. So, first will follow.

Conclusion 2: All Cups being a Book is a possibility.

All cups can be inside Book. So, this is a possibility. Therefore, II will follow.

Syllogism examples with answers

Q2.

Statements

i) Some Cubes are Circles.

ii) No Circle is a Triangle.

iii) No line is a Cube.

Conclusions:

i) All Cubes can never be triangles.

ii) Some lines are Circles.

iii) No triangle is a cube.

iv) No line is a circle.

  1. All follows

  2. I, II and III follow

  3. I, IV and III follow

  4. II, IV and III follow

  5. None of these

Solution: (E)

Cat Tips for syllogism 1: Draw Venn Diagram first

Cat Tips for syllogism 2: Go through Conclusions.

i) All Cubes can never be triangles: Some cubes are Circles. So, definitely, some cubes are there which can never be Triangle.

Therefore, (i) will follow.

ii) Some lines are Circles: Not a definite conclusion; it will not follow.

iii) No triangle is a cube: Not a definite conclusion; it will not follow.

iv) No line is a circle: Not a definite conclusion; it will not follow.

Clearly, the third statement will follow.

CAT entrance exam: Prerequisite to syllogism reasoning questions

  1. Set Theory

  2. Venn Diagram

  3. Concept of Syllogism

References to Study (Theory syllogism questions for CAT

  1. Verbal and Non-Verbal Reasoning by B S Sijwali

  2. CAT Handa (YouTube link: https://www.youtube.com/watch?v=4N8qsbClYpA)

References to Practice syllogism questions for CAT

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

  2. MBA Entrance Exams Previous years Papers.3. ELITES GRID (YouTube; Link: https://www.youtube.com/watch?v=sn_k4q6BHxk)

Part-3: CAT Exam Preparation 2025: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)

CAT Exam Important Topic: Strategy to Prepare “Comparison (Comparatives and Superlatives)” for CAT-2025.

CAT Important Concepts

  • Comparative Adjectives and Superlative Adjectives Fast?Faster (Comparative)?Faster (Superlative)

  • Comparative Adverbs and Superlative Adverbs

  • Negative Comparatives

CAT Previous Years' Questions on Comparison (Comparatives and Superlatives).

Q1: My daughter is__________ than my wife

  1. more taller

  2. more tall

  3. taller

  4. tall

Ans: [C]

Here is a comparison between two persons.

Q2. This is the ____________chocolate I have ever had.

  1. best

  2. better

  3. good

  4. well

Ans: [A]

‘best’ is best suited because comparison is with all time.

CAT 2025:Prerequisite

  1. Sentence Structure

  2. Adjectives and Adverbs

  3. Comparative and Superlative Degrees

Tips and Tricks for CAT Exam

  1. Learn comparative and superlative adjectives.

  2. Learn the pronunciation of these comparatives and superlatives:

  • long /lɒŋ/ longer /lɒŋgə(r)/ longest /lɒŋgəst/

  • strong /strɒŋ/ stronger /strɒŋgə(r)/ strongest /strɒŋ gəst/

  • young /jʌŋ/ younger /jʌŋgə(r)/ youngest /jʌŋgəst/Put structurally equivalent verbs in the same form.

  1. Some one-syllable adjectives have irregular comparative and superlative forms:

  • bad, worse, worst far, farther/further, farthest/furthest

  • good, better, best old, older/elder, oldest/eldest

  1. Two-syllable adjectives

Two-syllable adjectives ending in -y change y to i and take the -er and -est endings:

  • busy, busier, busiest

  • happy, happier, happiest

  • easy, easier, easiest

  • funny, funnier, funniest

  1. Comparative adjectives: using much, a lot, far, etc.

  1. Comparative adjectives: using than

  1. Comparative adjectives: -er and -er, more and more

  1. Comparative adjectives: the -er, the -er and the more …, the more …

  1. Use than, not that or as to introduce a clause after a comparative adjective or adverb

CAT exam: References to Study (Theory)

  1. Wren and Martin

  2. (https://www.youtube.com/watch?v=cpQbmdKkNFs)

CAT exam: References to Study (Practice)

  1. Verbal Ability for CAT by Arun Sharma and Meenakshi Upadhyay.

  2. CAT Previous years Papers and Sample Papers.

  3. (youTube; Link: https://www.youtube.com/watch?v=pm9fq1MbR_I)

Day 37 will be posted tomorrow, so practice and stay focused.

Thank you!

All the Best!

Free PDFs for CAT Preparation 2025

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

Click here to download

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

Click here to download




Frequently Asked Questions (FAQs)

1. When will the CAT 2025 registration start?

CAT registration will start around August 2025. Candidates can start registering for the CAT exam on the official website of the CAT. 

2. How to register for the CAT Exam 2025?

To register for the CAT exam 2025, the candidate must visit the official website of the CAT. Create a login profile using e-mail ID, mobile number, and other necessary details and upload the documents required. Then finally submit the registration fees and the process is completed.

3. What is the duration of CAT 2025 paper?

The time duration for the CAT 2025 exam paper is two hours i.e. 120 minutes. The exam is conducted in different slots for the exam day.

4. Are mock tests important for CAT 2025 preparation?

Yes, mock tests are crucial for CAT 2025 preparation since it helps the candidate, to carefully analyse their weakness and strength.

5. Does CAT repeat questions from previous years?

CAT does not directly repeat questions, but the same type of questions and ideas are asked annually. Number Systems, Algebra, Logical Puzzles, and Reading Comprehension topics often crop up in other forms. Working on previous year papers makes it easier for aspirants to realize the pattern of the exam and come up with improved strategies.

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Questions related to CAT

Have a question related to CAT ?

Hi aspirant,

  1. In general, PUMBA (Pune University's Department of Management Sciences) requires a higher CAT percentile, usually between 94 and 96.
  2. Nevertheless, final selection is based on a comprehensive process that includes your CAT score (which usually carries 50% weightage), performance in the Group Discussion (GD) and Personal Interview (PI) rounds (30% weightage), academic record (10% weightage), and work experience (10% weightage).
  3. Even though your CAT score is strong, a strong performance in the subsequent selection rounds will be essential for admission.
  4. It is recommended to contact the institution directly for latest and up-to-date information.

PUMBA MBA

You can refer to the link attached above for more information on the same.

All the best!

Hi aspirant,

  1. Vadodara is an MHT CET exam center located outside of Maharashtra .
  2. This makes it easier for Gujarati applicants to take the exam.
  3. When completing your MHT CET application form, you will have the option of selecting your chosen exam centers , including those situated outside of Maharashtra.

MHT CET Exam Centres 2025

You can refer to the link given above for more information on the same.

All the best!

Hello dear,

The CAT exam requires a significant amount of time for preparation, including brushing up on basic concepts and practicing advanced problem-solving. Starting too early can feel overwhelming and may not be sustainable with other academic commitments.

The CAT exam requires a level of focus and maturity that is not always present in class 9. Starting preparation at this stage can be challenging to maintain. At class 9, you're primarily focused on learning foundational concepts. So you just need to boost your fundamentals by practicing more and more at class 9 because the Quantitative Aptitude section of CAT syllabus includes all the topics of Mathematics from Class 9 to 10 such as Arithmetic, Geometry, Algebra, Trigonometry and Mensuration.


Start Preparation 12 Months Prior:

  • Begin your CAT preparation around 12 months before the exam date.
  • Dedicate 5 to 6 hours daily for studying, focusing on smart work rather than just hard work.

Identify Weak Sections:

  • Recognize your weak section at the start of your preparation.
  • Allocate more time and attention to improving your weak areas while maintaining practice in all sections

I hope you got your answer, That's all Thank you.

IIFT CAT Cutoff 2024


IIFT Delhi

General: 95–98 percentile

OBC: 90+

SC: 85–95

ST/PwD: 75–93


IIFT Kolkata

General: 85–95 percentile

OBC/SC/ST: 50–95 (varies)

Note: Final selection also includes WAT, GD, PI, academics, and work experience.

To prepare for CDS, CGL, and CAT during graduation, create a clear study schedule focusing on basics, reasoning, and aptitude. Practice daily mocks, improve time management, and stay consistent. Balance college and preparation with discipline and regular revision.

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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