On Day 57 of your CAT 2025 prep journey, it’s time to shift gears and focus on full-length practice. Solving model papers today will help you boost your speed, sharpen your accuracy, and manage your time better. You’ll tackle Para Summary in VARC, Logical Deductions and Connections in Logical Reasoning and some challenging Quant problems. These sets let you experience real exam-like situations and build a clear problem-solving approach. To keep your prep consistent, don’t forget to download the latest CAT sample papers in PDF format, they’re designed to match the updated exam pattern.
This Story also Contains
CAT Preparation 2025 in 60 Days
Strategies to Ace Route Questions in CAT 2025
CAT 2025 Ebooks by Careers360
CAT 2025 Day 57 Preparation
CAT Preparation 2025 in 60 Days
CAT Preparation 2025 in 60 Days is possible with the right strategy, dedication, and smart resources. Follow our expert-designed 60-day CAT study plan to cover the complete CAT syllabus 2025, including CAT VARC, CAT DILR, and CAT Quantitative Aptitude. Use daily CAT practice sets, mock tests, and CAT sample papers to improve speed, accuracy, and overall exam performance effectively.
CAT Exam Important Topic: Strategy through CAT Previous Year's Questions (CAT exam model paper) to prepare for quantitative aptitude for the CAT exam 2025
CAT previous years' question papers with solutions from quantitative aptitude are given below. CAT previous years question paper pdf free download is available and can be downloaded by clicking at the top of the page. This CAT exam model paper consists of questions from previous years including TITA (type in the answer).
Q1. Points E, F, G, and H lie respectively on the sides AB, BC, CD, and DA of a square ABCD. If EFGH is also a square whose area is 62.5% of that of ABCD and CG is longer than EB, then the ratio of the length of EB to that of CG is [CAT 2018, Geometry, Moderate]
2: 5
4: 9
1: 3
3: 8
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CAT Tips: In such questions, logarithm is the best approach
(5.55)x = 1000
Taking log on both sides
xlog(5.55) = log1000 = 3
log(5.55)= 3/x
Now,
(0.555)y = 1000
ylog(0.555) = log1000 = 3
⇒ [log (5.55/10)] = 3/y
⇒ log (5.55) – log10 = 3/y
⇒ log (5.55) – 1 = 3/y
⇒3/x – log10 = 3/y
⇒3/x – 3/y = log10 = 1
⇒1/x – 1/y = 1/3
Q3. With rectangular axes of coordinates, the number of paths from (1,1) to (8,10) via (4,6), where each step from any point (x, y) is either to (x, y+1) or to (x+1, y), is
Case Sensitivity: No
Answer Type: Equal [CAT 2019, TITA, Permutations and Combinations, Medium]
Answer: [3920]
Case 1:
Dimension of the rectangle with ends of diagonal being (1,1) and (4,6) = 3*5
[3 ways in horizontal direction and 5 ways in vertical direction]
Thus, the total number of paths from (1,1) to (4,6) = (5+3)! /5!3! =56
Case 2:
Dimension of the rectangle with ends of diagonal being (8,10) and (4,6) = 4*4
[4 ways in horizontal direction and 4 ways in vertical direction]
Thus, the number of paths from (4,6) to (8,10) = (4+4)! /4!4! =70
So, the total number of paths from (1,1) to (8,10) via (4,6) = 56*70 =3920
Q4. Two trains A and B were moving in opposite directions, their speeds being in the ratio 5: 3. The front end of A crossed the rear end of B 46 seconds after the front ends of the trains had crossed each other. It took another 69 seconds for the rear ends of the trains to cross each other. The ratio of the length of train A to that of train B is [CAT 2021, TITA, Level: Moderate]
3:2
5:3
2:3
2:1
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CAT 2025 Syllabus Topic: Strategy to prepare Routes and Network questions for CAT
Important Concept/Formula Used in CAT mapping and best routes questions
Concepts Used in CAT mapping and best routes problems are given below:
These problems are basically a special type of D.I. problems that require a high level of understanding.
These problems are applications of other topics and most topics are related to Permutation and Combination
CAT exam 2025: DILR practice questions for CAT pdf for references
CAT LRDI Questions: CAT Previous Years Questions On Routes and Network
Mapping and best routes questions including network questions CAT are given below:
Read the following paragraph for roots and network questions for CAT:
A new airline company is planning to start operations in the country. The company has identified ten different cities that they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations, the company must decide on a daily schedule.
The underlying principle that they are working on is the following:
Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.
Q1) CAT 2025 routes and network questions and answers are given below
If the underlying principle is to be satisfied in such a way that the journey between any two cities can be performed using only direct (non-stop) flights, then the minimum number of direct flights to be scheduled is:
45
90
180
135
CAT routes and network problems with solutions are given below
Solution: [C]
The question is simply asking to connect 2 dots out of 10 dots or two stations out of 10 stations this could be done by selecting 2 points out of 10 points that could be done by 10C2 which is 45 but 45 will not be the answer because consider the person is travelling from city A to city B and at the same time an another person must be travelling from city B to city A so we need to multiply 45 by 2 so final answer must be 45*2=90 but this is for morning only so we need to multiply this 90 by 2 for evening also so the final answer must be 90*2=180
Answer (C)
Q2) CAT exam 2025 routes and network Questions with solutions are given below:
Suppose three of the ten cities are to be developed as hubs. A hub is a city which is connected with every other city by direct flights each way, both in the morning as well as in the evening. The only direct flights which will be scheduled are originating and/or terminating in one of the hubs. Then the minimum number of direct flights that need to be scheduled so that the underlying principle of the airline to serve all the ten cities is met without visiting more than one hub during one trip is:
54
120
96
60
Routes and network problems with answers for the CAT exam are given below
Solution: [C]
Consider hubs first there will be 4 flights between two hubs (2 at morning and 2 at evening).
So, there will be 3 hub cities and each route will have 4 flights so we will have a total of 12 cities between 3 hubs
Now consider a direct flight from 3 hub cities to 7 non-hub cities is=
3C1 * 7C1*4 = 84
So, the total number of flights will be = 84 + 12=96
ANSWER (C)
Tricks and Tips for CAT questions on routes and networks
Find the tips and tricks for network questions CAT below:
These are special types of problems, so these must be needed to be practised before the exam.
A sound understanding of topics such as Permutation-Combination and number system is been required to solve these questions with agility
CAT entrance exam: Prerequisite to Routes and network
Prerequisites to Routes and Network reasoning are given below
Puzzles
Permutation & Combination
References to Study (Theory) Routes and Network for CAT
Best sources to study Routes and Network concepts for CAT exam are given below:
LRDI by Nishit K. Sinha
HandaKaFunda
References to Practise Routes and Network problems for CAT
Best sources to practise Routes and Network questions for CAT are given below:
MBA Entrance Previous years Papers and Sample Papers.
CAT exam 2025: DILR practice questions for CAT PDF
CAT LRDI Questions: CAT Previous Years Questions On Routes and Network
Mapping and best routes questions including network questions CAT are given below:
Read the following paragraph for roots and network questions for CAT:
A new airline company is planning to start operations in the country. The company has identified ten different cities that they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations, the company must decide on a daily schedule.
The underlying principle that they are working on is the following:
Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.
Q1) CAT 2025 routes and network questions and answers are given below
If the underlying principle is to be satisfied in such a way that the journey between any two cities can be performed using only direct (non-stop) flights, then the minimum number of direct flights to be scheduled is:
45
90
180
135
CAT routes and network problems with solutions are given below
Solution: [C]
The question is simply asking to connect 2 dots out of 10 dots or two stations out of 10 stations this could be done by selecting 2 points out of 10 points that could be done by 10C2 which is 45 but 45 will not be the answer because consider the person is travelling from city A to city B and at the same time an another person must be travelling from city B to city A so we need to multiply 45 by 2 so final answer must be 45*2=90 but this is for morning only so we need to multiply this 90 by 2 for evening also so the final answer must be 90*2=180
Answer (C)
Q2) CAT exam 2025 routes and network Questions with solutions are given below:
Suppose three of the ten cities are to be developed as hubs. A hub is a city which is connected with every other city by direct flights each way, both in the morning as well as in the evening. The only direct flights which will be scheduled are originating and/or terminating in one of the hubs. Then the minimum number of direct flights that need to be scheduled so that the underlying principle of the airline to serve all the ten cities is met without visiting more than one hub during one trip is:
54
120
96
60
Routes and network problems with answers for the CAT exam are given below
Solution: [C]
Consider hubs first there will be 4 flights between two hubs (2 at morning and 2 at evening).
So, there will be 3 hub cities and each route will have 4 flights so we will have a total of 12 cities between 3 hubs
Now consider a direct flight from 3 hub cities to 7 non-hub cities is=
3C1 * 7C1*4 = 84
So, the total number of flights will be = 84 + 12=96
ANSWER (C)
Tricks and Tips for CAT questions on routes and networks
Find the tips and tricks for network questions CAT below:
These are special types of problems, so these must be needed to be practised before the exam.
A sound understanding of topics such as Permutation-Combination and number system is been required to solve these questions with agility
CAT entrance exam: Prerequisite to Routes and Network
Prerequisites to Routes and Network reasoning are given below
Puzzles
Permutation & Combination
References to Study (Theory) Routes and Network for CAT
Best sources to study Routes and Network concepts for CAT exam are given below:
LRDI by Nishit K. Sinha
HandaKaFunda
References to Practice Routes and Network problems for CAT
Best sources to practise Routes and Network questions for CAT are given below:
MBA Entrance Previous years Papers and Sample Papers.
These questions ask you to summarise a passage (100- 150 words) in a single statement.
CAT Practice Questions on Para Summary from CAT Exam
Para Summary sample question:
Directions for Summary: A paragraph is followed by four options which have summarised the passage in their own way. Pick the option that best summarises the passage:
Developing countries are becoming hotbeds of business innovation in much the same way as Japan did from the 1950s onwards. They are reinventing systems of production and distribution and experimenting with entirely new business models. Why are countries that were until recently associated with cheap hands now becoming leaders in innovation?
Driven by a mixture of ambition and fear, they are relentlessly climbing up the value chain. Emerging-market champions have not only proved highly competitive in their own backyards, they are also going global themselves. [CAT 2021]
Options:
Developing countries are being forced to invent new business models which challenge the old business models, so they can remain competitive domestically.
Production and distribution models are going through rapid innovations worldwide as developed countries are being challenged by their earlier suppliers from the developing world.
Competition has driven emerging economies, once suppliers of cheap labour, to become innovators of business models that have enabled them to move up the value chain and go global.
Innovations in production and distribution are helping emerging economies compete with countries to which they once supplied cheap labour.
Solution and Strategy for Para summary for CAT are given below:
Answer: [3]
CAT Tips: Try to pick ‘Subject Matter’
The idea of the paragraph is driven by:
1. Developing economies are becoming hotbeds of economic innovation.
2. A mixture of ambition and fear they are relentlessly climbing up the value chain.
the 3rd option best describes these two ideas.
Directions for Summary: A paragraph is followed by four options which have summarised the passage in their own way. Pick the option that best summarises the passage:
Foreign peacekeepers often exist in a bubble in the poor countries in which they are deployed; they live in posh compounds, drive fancy vehicles, and distance themselves from locals. This may be partially justified as they are outsiders, living in constant fear, and performing a job that is emotionally draining. But they are often despised by the locals, and many would like them to leave. A better solution would be bottom-up peacebuilding, which would involve spending more time working with communities, understanding their grievances and earning their trust, rather than only meeting government officials. [CAT 2021]
The environment in poor countries has tended to make foreign peacekeeping forces live in enclaves, but it is time to change this scenario.
Extravagant lifestyles and an aloof attitude among the foreigners working as peacekeepers in poor countries have justifiably made them the target of local anger.
Peacekeeping forces in foreign countries have tended to be aloof for valid reasons but would be more effective if they worked more closely with local communities.
Peacekeeping duties would be more effectively performed by local residents given their better understanding, knowledge and rapport with their own communities.
Answer: [3]
The main idea of the passage can be described by the following points:
Peacekeepers tend to live in a bubble for some reasons.
They will work more effectively if they involve the locals.
Option 3 best describes these ideas.
Tips and Tricks for Para Summary
Read and understand the paragraph. If you don’t understand the paragraph, you cannot summarise it.
Pick the subject matter and look for important nouns and try to relate these logically.
Eliminate the options which are out of context.
See the SCOPE.
Skip the question if you are not able to understand.
CAT 2025: Prerequisite to Para Summary
Reading Comprehension
Analytical ability
References to Study (Theory) para summary for CAT exam
How to Prepare for Verbal Ability and Reading Comprehension for CAT | 9th Edition Book by Arun Sharma and Meenakshi Upadhyay
Route questions often look confusing at first, but with the right method, they’re actually quite manageable. These questions check how well you understand directions and movement, so it’s important to stay focused and use a step-by-step approach.
Many beginners focus too much on studying without practising enough questions. Practice is essential to understand concepts and improve speed in CAT 2025.
Skipping basics creates gaps that make advanced topics harder. A strong foundation helps solve complex problems more easily and confidently.
Poor time management in CAT 2025 leads to incomplete revision and less practice. Planning your study schedule helps cover the syllabus effectively and reduces stress.
Relying only on coaching without self-study limits your progress. Consistent self-practice and analysing your mistakes are key to success. You can use these to ace CAT 2025 without coaching.
Ignoring CAT 2025 mock tests means missing out on real exam practice. Mock tests help build exam temperament and identify areas that need improvement.
CAT 2025 Ebooks by Careers360
CAT 2025 eBooks by Careers360 offer a complete set of study materials, covering all key sections, Quant, VARC, and DILR. These eBooks include tips, practice questions, and strategies tailored to the latest CAT pattern for smarter preparation.
eBook Title
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Mastering CAT Exam: VARC, DILR, and Quant MCQs & Weightages
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The CAT 2025 exam is a national-level MBA entrance test for IIMs and top B-schools in India. It will be held on 30th November 2025 in computer-based mode across ~170 cities.
The registration is open from 1st August to 13th September 2025 on
iimcat.ac.in
.
Admit cards will be available from 5th November 2025 onward.
Graduates with at least 50 marks (45 for SC/ST/PwD) are eligible to apply.
The exam tests English, Reasoning, and Quantitative Aptitude in three timed sections.
With 305 marks in ICAR PG and being from ST category, your chances of getting an AIEEA (CAT) seat is good, especially in plant sciences and less competitive subjects
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 ?
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 ?
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 ?
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 ?
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 ?
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 ?
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 ?
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 ?
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 ?
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 ?
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