CAT 2025 Quantitative Aptitude Syllabus and Key Topics

CAT 2025 Quantitative Aptitude Syllabus and Key Topics

Edited By Komal Miglani | Updated on Jun 11, 2025 04:05 PM IST | #CAT

The CAT 2025 examination will be conducted tentatively in the month of November 2025. The quantitative aptitude section is one of the most decisive sections of the CAT 2025 examination. The candidates must prepare well for the CAT quantitative aptitude section because it is considered one of the hardest sections of the CAT examination. Having a good understanding of the CAT quantitative aptitude important topics and redefining the candidate’s CAT 2025 preparation with the help of CAT important quant topics is essential for the candidate's CAT 2025 success by securing a good CAT 2025 score. The CAT 2025 quantitative aptitude syllabus is extremely important, at the same time, very broad. A CAT six-month study plan is necessary for the candidates to cover all the necessary topics of the CAT 2025 quantitative aptitude. This article from Careers360 goes in depth about the CAT quantitative aptitude syllabus and the important CAT quantitative aptitude topics that the candidates must learn to perform extremely well under the quantitative aptitude section of the CAT 2025 examination.

This Story also Contains
  1. CAT 2025 Quantitative Aptitude Syllabus: Detailed Overview
  2. CAT Quantitative Aptitude Syllabus
  3. CAT Quantitative Aptitude Exam Pattern
  4. Must-Know Quant Topics for CAT 2025
  5. CAT Quantitative Aptitude Preparation Tips
  6. Recommended Books for CAT Quantitative Aptitude 2025
  7. CAT Preparation Materials by Careers360
CAT 2025 Quantitative Aptitude Syllabus and Key Topics
CAT 2025 Quantitative Aptitude Syllabus and Key Topics

CAT 2025 Quantitative Aptitude Syllabus: Detailed Overview

Some of the noteworthy information on the CAT quantitative aptitude section that all candidates must be aware of.

  • According to the recent CAT examination trends, the difficulty level of the CAT 2025 examination is expected to be moderate to difficult. The CAT 2024 examination exhibited a moderate difficulty, while the CAT 2023 examination was deemed to be slightly on the difficult side.

  • There will be 22 questions asked under this section, and there is no strict sectional weighatge.

  • The questions from the CAT quantitative aptitude section will be based on concepts such as Arithmetic, Algebra, Geometry, Modern Math, and Number Systems.

  • There is a sectional timing set for the CAT quant section. 40 minutes is allotted for answering all the sections. After the time limit, the window will close automatically and further responses will not be entertained.

  • As far as the CAT 2024’s quantitative aptitude section is concerned, 14 MCQs and 8 TITA questions were asked. Here, TITA refers to Type in The Answer, and it would not have any options.

  • For the CAT 2025 examination, the candidates can expect 14-16 MCQs and 6-8 TITA questions as per the latest CAT exam analysis.

CAT Quantitative Aptitude Syllabus

The CAT 2025 examination will be conducted by the Indian Institute of Management Kozhikode. There is no official syllabus released for the CAT 2025 examination, but based on the analysis of the previous year's CAT question papers, we can devise a well-rounded CAT 2025 quantitative Aptitude Syllabus. The important CAT quantitative aptitude topics and the CAT quant syllabus 2025 are provided below.

Category

Topics

Arithmetic

Percentages, Profit, Loss & Discount, Averages, Weighted Average, Speed, Time & Distance, Relative Speed, Time & Work, Mixtures & Alligations, Applications of Averages, Boats and Streams, Escalator Questions

Algebra

Algebra, Linear and Quadratic Equations, Inequalities, Algebraic Identities, Simplification, Surds and Indices, Logarithms, Functions, Constant Product Rule

Geometry

Geometry, Coordinate Geometry, Mensuration, Circles, Triangles, Polygons, Quadrilaterals, Angles, Points, Lines and Planes, Similar Triangles, Graphical Division Geometry

Modern Math

Permutation and Combination, Probability, Conditional Probability, Set Theory & Function, Laws in Set Theory, Progressions & Series (AP, GP, HP), Derangement, Application of Power Cycle

Number System

Number System, LCM & HCF, Remainder Concepts, Power Cycle, Factorials, Number System Shortcut Techniques

CAT Quantitative Aptitude Exam Pattern

Based on the CAT's previous year question papers and the recent CAT exam trends, the CAT exam pattern is provided below. The expected CAT 2025 quantitative aptitude difficulty level is moderate to difficult. The CAT 2025 examination pattern is provided below for the reference of the candidates.

Particulars

CAT Exam Pattern and Syllabus

CAT exam time duration

2 Hours (120 Minutes) & (160 Minutes for PwD)

Name of the Section

- Verbal Ability & Reading Comprehension (VARC)

- Data Interpretation & Logical Reasoning (DILR)

- Quantitative Aptitude (QA)

Section-wise CAT exam time duration

- 40 Minutes for Each Section (VARC, DILR, QA)

- 53 Minutes 20 Seconds for PwD candidates for each section

Number of Questions

68

Total Marks

204

Mode of the CAT 2025 exam

Computer-Based Mode (CBT)

CAT Marking Scheme

- For every right answer, +3 will be awarded

- For every wrong answer in MCQs, -1 will be deducted

- No negative marks for Non-MCQs

Must-Know Quant Topics for CAT 2025

Since there is no official syllabus for the CAT quantitative aptitude section, covering the complete CAT quantitative aptitude syllabus can be challenging. It is important for the candidates to prioritise the CAT quantitative aptitude important topics. These CAT important quant topics are designed after analysing the CAT previous year question papers. Completely understanding the CAT important quant topics 2025 will help candidates to enhance their CAT quantitative aptitude performance.

CAT 2024 Slot-wise Analysis

The question distribution of the quantitative aptitude section of the CAT 2024 examination is provided below. Going through the analysis will help the candidates to gain a preliminary insight into the topics from which the questions are frequently asked.

Topic

Slot-1

Slot-2

Slot-3

Number System (Remainders, Floor Function, Integers, Factors and Exponents)

2

2

2

Surds, Indices and Logarithms

3

2

2

Inequalities and Linear Equations

0

2

1

PnC and Probability (Counting, P&C)

1

1

2

Quadratic Equations

2

1

0

Averages, Percentages, Ratios and Proportions

3

3

3

Time, Work and Distance (TSD, Time & Work)

2

2

2

Profit, Loss and Interest (SI, CI, P&L)

2

2

2

Geometry (Triangles, Circles, Mensuration)

3

3

3

Progressions and Series (AP, Sequences)

1

0

1

Functions and Graphs (Modulus, Sets, Functional Eq.)

1

3

3

Mixture and Alligation

2

1

1

CAT Quantitative Aptitude Important Topics: Arithmetic Section

Almost 30-40% of the CAT quantitative aptitude section will comprise the CAT arithmetic section. While analysing the CAT previous year question papers, it can be observed that almost all the slots were arithmetic-dominated. Hence. It is beneficial for the candidates to begin with the arithmetic section during the candidate’s CAT quantitative aptitude preparation journey. Some of the important concepts that the candidates should prioritise under this section are listed below.

Mixtures and Alligations

Across the three slots of the CAT 2024 examination, the candidates were asked 4 questions in total under the mixture and alligators topic, making it one of the most important topics under the arithmetic section for the candidates. Mixtures and Alligations is a topic in quantitative aptitude that deals with combining two or more items with different prices, concentrations, or qualities to form a mixture. The concept helps in determining the ratio in which the items should be mixed to get a desired average value. The rule of alligation provides a shortcut method to solve such problems without using complex equations.

Time, Speed and Distance

Time, Speed and Distance is one of the most commonly asked topics and an important CAT quantitative aptitude topic. The variations of questions that can be asked under this section include questions on time, speed and distance concepts, boats and streams and questions on trains. This is relatively an easier section with more direct questions without involving a lot of difficult equations. At least one TSD question was asked in each slot of the CAT 2024 examination.

Ratio and Proportion

Ratio and Proportion are one of the go-to topics for any candidates preparing for the CAT quantitative aptitude section. This is largely because apart from the different forms of the questions that can be asked from this topic, the concepts of ratio and proportion is widely used in data interpretation questions, and other quantitative aptitude questions. Hence, the candidates need to be thorough with the concepts of ratio and proportion.

Time and Work

When a candidate is in search of the important CAT quant topics, they cannot forgo the time and work section. While analysing the previous year CAT question papers, it can be seen that across all the slots, one question is mandatorily asked under the time and work concept, making it an important CAT quantitative aptitude topic. Another version of the time and work concept, the pipes and cisterns question, is also frequently asked in the examination.

Percentages

Similar to the ratio and proportion questions, percentages are also an essential CAT topic. The concepts of percentages can be used throughout the arithmetic topics such as profit and loss, averages, data interpretation, graphs and so on and due to this, the candidates should consider the topic of percentages to be one among the top 10 CAT quant topics.

CAT Quantitative Aptitude Important Topics: Algebra Section

After the arithmetic section, the algebra section constitutes most towards the CAT quantitative aptitude section. Together with the CAT arithmetic section, they constitute more than 50% of the CAT quantitative aptitude section. When the CAT 2024 question paper is analysed, it was observed that a lot of candidates reported that they found the algebra section to be the most difficult than the arithmetic section. Due to this, the candidates should focus on the CAT quant important topics of the algebra section more to perform better in the examination.

Surds and Indices

Surds and indices were an important CAT quant topic of 2024. The candidates were collectively asked 5 questions on this topic alone in the CAT 2024 examination. Going by the latest CAT exam trends, the candidates should study the various concepts of surds and indices in depth, as they are also widely used in questions involving simplification as well.

Logarithms

Similar to surds and indices, one question was compulsorily asked in all the slots of CAT 2024, marking its significance. The questions asked about the logarithm topic were of a slightly higher level, which necessitated the need for the candidates to go in-depth about logarithms and their applications.

Linear and Quadratic Equations

Linear and Quadratic Equations are key parts of Algebra. While analysing the previous year's questions, questions related to linear and quadratic equations appeared thrice across all the slots of the CAT 2024 examination. CAT toppers have also stressed the importance of studying the concepts of linear and quadratic equations, as a question can be expected from either of the topics with certainty in the CAT 2025 examination.

Sequence and Series

The CAT 2025 algebra topic, sequence and series, is also frequently asked in a lot of CAT sample papers and previous year question papers. Generally, the candidates are asked a moderately difficult question from this section involving the concepts of APs, GPs and HPs, making the sequence and series an important CAT quant topic to watch out for.

CAT Quantitative Aptitude Important Topics: Geometry Section

In the CAT 2025 examination, the candidates can expect 2-4 questions under the geometry section. While the weightage of the section is lower when compared to the sections such as algebra and arithmetic, scoring well under the geometry section can be a boost and help the candidates to enhance their CAT 2025 score. Some of the CAT 2025 quantitative aptitude important topics under the geometry section are:

Triangles

Questions on triangles are one of the favourites of the CAT examiner. It can be undoubtedly said that the candidates can expect at least one question under the concept of triangles in the CAT 2025 examination, going by the past year trends. Questions on triangles in CAT 2025 may include concepts like properties of different types of triangles, Pythagoras theorem, similarity and congruence, area and perimeter, angles, and application-based geometry problems. Hence triangle is the most important CAT quant topic under the geometry section.

Coordinate Geometry

The candidates can also expect questions based on coordinate geometry in the CAT 2025 examination because a few questions on this topic were asked frequently in the previous year's CAT question papers. Questions involving plotting points, finding distances, midpoints, slopes of lines, equations of lines, and analysing geometric shapes using the x-y coordinate plane can be expected from coordinate geometry.

CAT Quantitative Aptitude Important Topics: Modern Maths Section

The modern maths questions are the ones that show the least weightage in the CAT examinations. But due to the unpredictable nature of the examination, overlooking this section during the candidate’s CAT quantitative aptitude preparation may be one of the common mistakes made by the candidates during their CAT 2025 preparation. The most important CAT quant topics under the modern maths section are:

Permutations and Combinations

The most important CAT quant topic that the candidates should focus on under the modern maths section is the permutation and combination topic. Last year, almost all of the modern maths questions were asked from this topic alone, making it the go-to topic for prioritisation under the CAT modern maths section. The types of questions that can be asked in Permutations and Combinations include arranging letters or digits, forming numbers or words with or without repetition, selecting teams or groups from a set, distributing items among people, and solving problems involving restrictions like certain people always or never being together.

CAT Quantitative Aptitude Important Topics: Number Systems Section

Number systems is another section of the CAT quantitative aptitude with a low weightage. Generally, 2-4 questions are asked under this section. The candidates are advised to keep this section for the final round of preparation. Some of the topics under the number systems section that must be prioritised by the candidates include:

Remainders

In the CAT 2025 examination, 2 questions were asked under the reminders topic. Hence, it is ideal to start with this topic under the CAT number systems topic of the quantitative aptitude. Questions can include division-based problems, application of the division algorithm, using properties of remainders, cyclicity, and solving problems using concepts like Fermat’s or Euler’s theorem in advanced cases.

Factors and Exponents

Factors and Exponents is a topic in number systems where questions involve finding the number and types of factors of a number, prime factorisation, the highest common factor (HCF), the lowest common multiple (LCM), and applying the laws of exponents to simplify or solve expressions. It forms the base for solving various arithmetic and algebraic problems.

CAT Quantitative Aptitude Preparation Tips

Some of the efficient CAT quantitative aptitude preparation tips that can be followed by the candidates to enhance their CAT 2025 preparation are:

  • Understand the syllabus clearly: The candidate should begin by understanding all the topics under Quantitative Aptitude, such as arithmetic, algebra, geometry, number systems, and modern math.

  • Build strong basics first: It is important that the candidate focuses on strengthening basic concepts and formulas before moving to advanced-level problems.

  • Practice regularly: The candidate must solve different types of questions daily to develop accuracy and improve speed.

  • Focus more on Arithmetic and Algebra: Since these two areas are highly weighted in recent CAT exams, the candidate should allocate more preparation time to them.

  • Take topic-wise tests: After completing each topic, the candidate should take small quizzes or practice tests to check understanding and retention.

  • Work on weak areas: The candidate must identify and spend extra time on weaker topics to ensure balanced preparation.

  • Revise formulas and shortcuts: Keeping a separate notebook for formulas and quick tricks will help the candidate in regular revision.

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Recommended Books for CAT Quantitative Aptitude 2025

Now that the candidate is aware of the most important CAT quant topics, it is time for the candidate to start their preparation. One of the best methods is to refer to the best CAT quantitative aptitude books written by experts. Careers360 have shortlisted a few of the necessary CAT quantitative aptitude books for the efficient preparation of the candidates.

Book Title

Author

Quantitative Aptitude for Competitive Examinations

R.S. Aggarwal

Quantitative Aptitude Quantum CAT

Sarvesh Verma

NCERT Mathematics books (Class 9–10)

NCERT

How to Prepare for Quantitative Aptitude for the CAT

Arun Sharma

CAT Preparation Materials by Careers360

Careers360 offers a range of CAT 2025 preparation resources, including detailed syllabus guides, topic-wise study material, mock tests, and expert strategy articles. The candidates can access these resources using the links given below.

eBook Title

Download Links

3000+ Most Important Words - Vocabulary Builder

Download Here

500+ Most Important Idioms and Phrases

Download Here

300+ Most Important Phrasal Verbs

Download Here

Permutation & Combination - Video Lectures and Practice Questions

Download Here

Mastering DILR Questions with Expert Solutions

Download Here

CAT 2025 Exam's High Scoring Chapters and Topics

Download Now

Mastering CAT Exam: VARC, DILR, and Quant MCQs & Weightages

Download Now

CAT 2025 Mastery: Chapter-wise MCQs for Success for VARC, DILR, Quant

Download Now

CAT 2025 Quantitative Aptitude Questions with Answers

Download Now

CAT DILR Questions with Solution, Download LRDI Questions for CAT

Download Now

CAT 2025 Verbal Ability and Reading Comprehension (VARC) Study Material

Download Now

Frequently Asked Questions (FAQs)

1. How tough is the CAT 2025 Quant section and what’s its pattern?

The Quantitative Aptitude section in CAT 2025 is expected to be of moderate to difficult level. You will have 40 minutes to answer around 22 questions. These questions will be a mix of multiple-choice questions (MCQs) and type-in-the-answer (TITA) questions. For each correct answer, you will get 3 marks, and for every wrong MCQ, 1 mark will be deducted. There is no negative marking for TITA questions.

2. Which topics are most important in the Quant section?

The most important topics for the CAT Quant section come mainly from Arithmetic and Algebra. In Arithmetic, topics like percentages, time and work, and ratios are commonly asked. In Algebra, questions often come from surds, logarithms, and equations. Other useful topics include triangles and coordinate geometry from Geometry, permutations and combinations from Modern Math, and remainders and factors from Number Systems.

3. How should I prepare for the Quant section?

To prepare well for the Quant section, you should start by building a strong foundation in the basics, especially in Arithmetic and Algebra. Regular practice is important to improve your speed and accuracy. After finishing each topic, try solving practice questions and take small topic-wise tests to check your understanding. Make sure to revise formulas often and spend extra time on the areas where you feel less confident. A structured six-month study plan can help you complete the syllabus on time.

4. What books and resources should I use for Quant prep?

For preparing the Quant section, some of the best books are RS Aggarwal’s Quantitative Aptitude, Quantum CAT by Sarvesh Verma, and How to Prepare for Quantitative Aptitude for CAT by Arun Sharma. NCERT Maths books from Class 9 and 10 are also helpful to strengthen your basics. Along with these books, you can use free study materials, video lessons, and mock tests provided by Careers360 for better preparation.

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Questions related to CAT

Have a question related to CAT ?

GIBS Business School in Bangalore accepts multiple national and state-level entrance exam scores for admission to its PGDM program. You can apply using scores from exams like CAT, MAT, XAT, CMAT, GMAT, ATMA, or various state-level CETs.

The admission process typically considers your entrance exam score along with your academic record, performance in the group discussion and personal interview, and any work experience you may have. For the BBA program, admissions are generally based on your Class 12 marks and do not require entrance exam scores.

If you're planning to apply, it's a good idea to keep your exam score, academic documents, and personal statement ready for the selection rounds.

If your son’s first preference is CSE, then Amrita Bangalore clearly leads among the three, simply because CSE opens more doors in terms of placements, internships, and future-proof careers. Amrita is also NAAC A++ and has a strong reputation, especially for CSE. Category 2 is also manageable fee-wise compared to higher categories.

VIT Chennai is a decent campus, and their ECE program is solid, but Category 5 means much higher fees and very low chance of branch upgrade later. CSE at VIT Chennai would have been more competitive here — but ECE at that fee tier is not as strong a deal unless your son has a strong interest in core electronics.

Manipal Bangalore (MIT Bengaluru campus) is a newer campus. ECE there is still developing in terms of placements and faculty compared to the main Manipal campus. Unless your son strongly prefers Bangalore or is getting some advantage here like scholarships or internship access, it doesn't stand out above Amrita.

So, recommendation: Go with Amrita Bangalore CSE (Category 2). It balances a strong branch with a decent campus and better long-term potential in the tech industry. If your son is open to core electronics and you’re okay with the higher cost, VIT Chennai is fine, but still comes second to CSE at Amrita.

All the best!

hi,

Yes, with a NEET score of 317 and being from Bihar with OBC category, you still have chances to get a seat. For BDS, getting a government seat may be difficult because the cutoffs are usually higher. But you can try for private BDS colleges, especially in the mop-up and spot rounds.You can get a seat in private BAMS colleges in Bihar, and maybe in semi-government colleges if cutoffs drop this year.

Hi aspirant,

The IIM admissions procedure is multifaceted .

  1. You must excel in the CAT exam, aiming for a high percentile (often 98-99+ for the top IIMs, though this varies by category and institute).
  2. Your academic profile, which includes your 10th, 12th, and graduation results, is important in addition to the CAT.
  3. Many IIMs also evaluate academic diversity (giving preference to non-engineering students) and gender diversity.
  4. Finally, shortlisted candidates are subjected to a Written Ability Test (WAT) or Group Discussion (GD), followed by a Personal Interview.
  5. If you have any work experience, it would also help you fetch additional points.

Cracking the CAT demands a smart and systematic strategy .

  1. Begin by completely comprehending the exam design and syllabus for each of the three sections: VARC, DILR, and QA.
  2. Frequently take mock examinations to imitate exam settings, assess your skills and limitations, and improve your time management.
  3. Analyze your performance after each mock to determine where you are losing marks and to improve your strategy.
  4. Consistent preparation with previous year's papers and targeted questions for weak areas is critical.
  5. Reading widely (newspapers, articles, novels) is vital for increasing VARC capabilities, whilst completing puzzles and various problem sets improves DILR and QA abilities.

Success relies on discipline , dedication , and a good outlook .

All the best!

Hey Paridhi ,

I hope you are absolutely fine. As per your mentioned query , you have to understand the exam pattern first. Its syllabus, the type of questions and so on. Here i am mentioning some tips i hope this will be helpful for you.

  • Analyse the exam pattern first and read the syllabus thoroughly. So you will get to know what subjects and topics asked in the exam.
  • Collect the resources which will be beneficial for you. Like some standard books , mock papers .
  • Make your foundation strong so that you can solve the standard questions easily. As foundation is important to solve difficult questions.
  • Current affairs also plays important role in this exam so make yourself update by knowing the current things in environment.
  • Practice mocks so that your speed will also enhance.
  • Give PYQs so you will have idea of questions coming in exam.
  • Do revision weekly if you not revise whatever you study then you will forget the things. So revise weekly.

To know more you can refer this :

https://bschool.careers360.com/articles/cat-preparation-strategy

Revert for further query!

Good luck !

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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