A solid base in Quantitative Aptitude (QA), Data Interpretation (DI), Verbal Ability (VA), and Logical Reasoning (LR) is essential to succeed in the CAT 2025 exam. Part of our systematic 60-day preparation program, this article delivers key strategies to enable aspirants to develop conceptual clarity, enhance accuracy, and gain problem-solving ability in these sections. On Day 1, we are dealing with one of the basic subjects of Quantitative Aptitude – Number System, which is a fundamental concept highly tested in the exam. Familiarity with the basics of number properties, divisibility rules, and factors will lay a solid mathematical foundation for approaching more sophisticated subjects in the next few days.
References to practice number systems questions for the CAT exam
Data Interpretation(DI) for CAT 2026
What is a Bar graph?
CAT preparation Tips - DI (Bar Graph):
References for CAT DI
CAT 2025 Preparation for VARC: Noun Questions for CAT Exam
What are Nouns?
Tips On CAT Preparation for Verbal Ability (Noun):
References for CAT 2025 (Nouns)
Free PDFs for CAT Preparation 2025
CAT 2025 Preparation Strategy on Quant (QA), DI, VA and LR - Day 1
What are Numbers?
A number is referred to as a mathematical value which represents a certain quantity. In the international number system, the place values are called “Ones(1), tens(10), hundreds(100), thousands(1000), ten thousands(10,000), hundred thousands(1,00,000), millions(10,00,000), ten millions(107), hundred millions(108), billions(109) and so on.
The classification of the Number system is as follows:
Real numbers: All numbers in the number line including positive, negative and zero.
Imaginary numbers: Numbers when squared give a negative number.
Rational Numbers : Numbers that can be expressed as p/q form, q ≠ 0
Irrational numbers: Numbers that cannot be expressed as p/q form
Integers: Numbers that can be positive, negative and zero excluding fractions.
Whole numbers: Positive numbers including zero
Natural numbers: Positive numbers excluding zero, start from 1.
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The number system is one of the important topics that come up in QA questions for the CAT exam. To prepare for number system questions for the CAT exam, the topic has been segregated into five parts as given below in CAT questions on number system:
Careers360 has prepared a 60-day series for CAT preparation for students for the above-mentioned topics to discuss various examples and practice problems. This article includes the discussion of topics of Classification of Numbers , fractions to decimals examples, the Indian number system, binary number system, number system in computer, Decimal to fraction CAT questions, and base systems concepts and questions for the CAT exam, as well as CAT practice questions on number systems.
Previous Year CAT Questions on the Number System
Question 1: Let m and n be natural numbers such that n is even and 0.2 < m/20, n/m, n/11< 0.5. Then m – 2n equals:
[CAT Question Paper 2020]
4
2
1 - Correct answer
3
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Taking one at a time, we get 1/5 < m/20 and m/20 < ½ So, m > 4 and m < 10 Therefore, possible values of m = 5, 6, 7, 8, 9
Now, 1/5 < n/11 and n/11 < ½ and n is even.
So, n > 11/5 and n < 11/2
Therefore, a possible value of n is 4 (since 4 is the only even natural number between 11/5 and 11/2)
Since 0.2 < n/m < 0.5
⇒ 20 > m > 8 [Putting the value of n = 4]
So, the only possible value of m is 9.
Now, m – 2n = 9 – 2 × 4 = 1
Hence, the correct answer is 1.
Question 2: Convert the number 1982 from base 10 to base 12. The result is?
(CAT Question Paper 2000)
1182
1912
1192 - Correct answer
1292
Answer:
For that, divide 1974 by 12 as shown:
Divisor
Quotient
Remainders
12
1982
12
165
2
12
13
9
12
1
1
0
1
Write the remainder from bottom to top.
So, in base 12, 1982 is 1192.
Hence, the correct answer is 1192.
Question 3: If n is an integer and n(n + 1)(n + 2) is divisible by 8, which of the following is necessarily true?
n is even - Correct answer
n is odd
n is divisible by 8
n is not divisible by 8
Answer:
For n(n+1)(n+2) to be divisible by 8, at least one of the factors n, (n + 1), (n + 2) must be divisible by 2, and at least one must be divisible by 4.
The product of three consecutive integers always contains at least one multiple of 2 and one multiple of 4, ensuring that their product is divisible by 8.
This happens when n is even.
Hence, the correct answer is “n is even”.
Question 4: If the sum of the squares of three consecutive positive integers is 2030, then the middle integer is:
25
26 - Correct answer
27
28
Answer:
Let the three consecutive integers be n, n + 1, and n - 1.
According to the question,
n2 + (n + 1)2 + (n - 1)2 = 2030
⇒ n2 + n2 + 2n + 1 + n2 - 2n + 1 = 2030
⇒ 3n2 = 2030 - 2
⇒ n2 = 676
⇒ n = 26, which is the middle number.
Hence, the correct answer is 26.
Prerequisite to CAT preparation for number systems
Here are some must-learn topics for students to do thoroughly while preparing for CAT:
Tables up to 30
Squares up to 30
Cubes up to 20
Prime numbers until 100.
Knowledge of Fractions
How to prepare for Number Systems (Basics)?
Learn the Classification of Numbers (Natural, Whole, Integers, Prime, Composite, Co-prime, etc.). NCERT books (9-10th standard) are the best guides for this.
Apply the concepts to number system questions.
Learn Base systems and conversions from numbers in one base system to another. For example, fractions to decimals questions, how to remove decimal points in fractions, how to convert numbers to fractions, and number system questions, and answers.
Practice the previous year's CAT questions on the number system.
Easy tips and formulae for number systems:
Following are some useful tips and CAT formulae on the Number system that can help in your preparation:
The sum of a two-digit number and a number formed by reversing its digits is divisible by 11. E.g., 24 + 42 = 66, this is divisible by 11.
At the same time, the difference between those numbers will be divisible by 9. e.g., 42 – 24 = 18, this is divisible by 9.
∑n = n(n + 1)/2, ∑n is the sum of the first n natural numbers.
∑n2 = n(n + 1)(2n + 1)/6, ∑n2 is the sum of the Perfect squares of the first n natural numbers.
∑n3 = n2(n + 1)2/4 = (∑n)2, ∑n3 is the sum of the perfect cubes of the first n natural numbers.
Learn Recurring and Non-recurring decimal numbers and their conversion to fractions. Number of the form of 0.a = a/9 Eg. 0.77777…. = 7/9
Number in the form of 0.ab = ab/99 Number in the form of 0.abc = abc/99 Eg. 0.73737373….. = 73/99 0.343343343…. = 343/999
Number of the form of 0.0a = a/90 Eg. 0.07777….. = 7/90
Number of the form of 3.ab = (3ab – 3)/99 Number of the form of 30.ab = (3ab – 30)/99
References to practice number systems questions for the CAT exam
Resources and Books for number systems (theory)
Books for practice - number systems
NCERT Class 9 and Class 10 Mathematics
Master Number System for CAT and GMAT by Nishit K. Sinha
A Quantitative Approach for CAT by Arun Sharma
Question bank from CAT-Holic
2iim YouTube Channel
CAT's previous year's papers
Data Interpretation(DI) for CAT 2026
Data interpretation is a must-know topic for the CAT Exam and other MBA entrance exams. Data interpretation tests your analytical and observational skills to deduce useful information and apply it to solve the given questions. DI for CAT can be studied in parts such as Bar graphs, Pie charts, Line graphs, Tables, Caselet, Spider charts, and Miscellaneous.
What is a Bar graph?
The bar graph definition says that a graph where data is represented with rectangular bars where one parameter is given on the x-axis and the other parameter is given on the y-axis.
These bars can be drawn horizontally or vertically. Every bar represents a different category and the length of the bar is its value.
We also have to study “bar graph maker”, “bar graph examples”, “difference between histogram and bar graph” and practice bar graph questions to delve deeper into this topic.
Examples of Bar graphs with questions
Question. Examine the graph below carefully and answer the following questions. The graph depicts the results of a school’s students.
Which year has the smallest difference between the number of kids who passed and those who failed?
In the last five years, what was the average number of kids who failed in school?
How many times have the same number of kids failed?
Solution:
(A) The number of pupils who passed versus those who failed for the respective years is given below:
1991-1992 = 150 – 100 = 50
1992-1993 = 200 – 100 = 100
1993-1994 = 300 – 50 = 250
1994-1995 = 250 – 100 = 150
The difference in 1991-1992 is minimal.
Hence, the correct answer is 1991-1992.
(B) From the bar graph, we can observe that.
The total number of students failed = 100 + 100 + 50 + 100 + 100 = 450
So, Average = 450/5 = 90
Hence, the correct answer is 90.
(C) According to visual observation, the number of failed students in 1991-1992, 1992-1993, 1994-1995, and 1995-1996 is the same.
Hence, the correct answer is four.
DI based on the Bar Graph for the CAT exam.
Bar graphs are the pictorial representation of data (generally grouped), in the form of vertical or horizontal rectangular bars, where the length of bars is proportional to the measure of data. Every bar represents a different category and the length of the bar is its value. They are also known as bar charts.
As per previous year's question papers for the CAT, about 3 or 4 questions are expected related to Bar Graph questions for the CAT which come in exams.
Questions On Bar Graph From CAT Previous Year Papers
Revenue Shares of Tech Companies
Question 1: In 2001, the company that grew the quickest grew by 100%. What was the growth rate of the company that had the least growth rate?
50%
25%
20%
33% - Correct answer
Solution for Question 1:
Let the total revenues of the entire industry be 100x in 2000 and 100y in 2001.
Company
Share in 2000 (approx.)
Share in 2001 (approx.)
Share in 2001: Share in 2000
FINY
22.9x
21.1y
21.1y : 22.9x
PRIWO
17.1x
19.3y
19.3y : 17.1x
SCT
25.7x
21.1y
21.1y : 25.7x
GOCN
14.3x
14y
14y : 14.3x
BIM
8.6x
10.5y
10.5y : 8.6x
CENTURE
11.4x
14y
14y : 11.4x
The company that grew the quickest would be the one that had the maximum ratio of 2001 revenue share to 2000 revenue share. Only the shares matter, X's and Y's do not matter.
Clearly, CENTURE saw the highest ratio and hence the highest growth, which is equal to 100%, and for that share in 2001: share in 2000 = 2 : 1 (for CENTURE).
So, 14y/ 11.4x = 2/1
⇒ y/x = 11.4/7
The company that saw the least ratio, and hence the least growth rate, is SCT.
Share in 2001: Share in 2000 = 21.1y/25.7x = (21.1/25.7) × (11.4/7) = 1.33
So, the percentage change is 33%.
Question 2: In 2002, the growth rate of the overall sector was 39%. What was the growth rate seen by SCT?
Question 3: Total revenue in 2006 was 21.2 billion and total revenue in 2005 was
18.1 billion. What was the growth rate seen in Centure?
11%
35%
20% - Correct answer
27%
Solution for question 3:
Growth rate = (8.5% of 21.2 – 8.3% of 18.1) × 100/18.1 = 20% (approx.)
Hence, the correct answer is Option C.
Prerequisite:
Here are some must-learn topics for students to do thoroughly while preparing for CAT:
Tables up to 30
Squares up to 30
Cubes up to 20
Basics of Percentage
Must know to find averages
CAT preparation Tips - DI (Bar Graph):
Learn the basics of simplification and approximation
Practise and learn to solve percentages quickly
Do small calculations mentally
Learn the basics of bar graphs
Understand the components on both axes
Interpret the necessary data requirements
References for CAT DI
Theory
Practice
RDI for CAT and GMAT by Nishit K Sinha
Data Interpretation for CAT by Arun Sharma
Class 9 and Class 10 Mathematics NCERT for basics of bar graphs
CAT's previous year's papers and sample papers
2iim YouTube Channel
Question bank from CAT-Holic
CAT 2025 Preparation for VARC: Noun Questions for CAT Exam
In the Verbal Ability and Reading Comprehension section, 24 questions are included among which 19 questions are Non-MCQ questions. The Reading Comprehension questions are the majority ( 80%). CAT English practice questions are important as sometimes students are very overconfident that they can solve the questions but they can’t, so thorough practice is a must.
What are Nouns?
Nouns are a part of speech comprising words used to name people, places, animals, objects, and ideas. Nouns can act as the subject, an indirect object, a direct object, a subject complement, and an object complement.
Some of the types of nouns are:
Proper nouns: Names of specific persons, places, or things
Common nouns: Names of general items rather than specific names.
Countable nouns: Nouns that can be counted.
Uncountable nouns: Nouns that can not be counted.
Abstract nouns: Nouns that can not be perceived by 5 human senses.
Concentre nouns: Nouns that can be perceived by 5 human senses.
Compound nouns: Made up of two or more small nouns.
Collective nouns: Nouns referring to groups rather than individuals.
To understand better, we can make a types of nouns chart with types of nouns with examples.
We can also practice on the “countable and uncountable nouns worksheet”, “common and proper nouns worksheet with answers”, and “singular and plural nouns worksheet”
Instructions: Q.1 to 2, In each question, there are four sentences or parts of sentences that form a paragraph. Identify the sentence(s) or part(s) that is/are incorrect in terms of grammar including spelling, punctuation, and usage. Pick out the most appropriate option, out of the options that follow the question.
Question 1:
Either the parents or the child are going to talk.
to the principal on this issue, and I find many reasons
Why I can't help the child; please excuse me now as the principal
accompanied by the teachers, has to go to the auditorium.
Answer:
Option A: Either parents or the child is going to talk – verb will follow the latter noun (subject)
Option C: "W" in “why” cannot be capitalised in the middle of a sentence. And there should not be any semicolon after “child”.
Question 2:
Neither the high profile Manager nor the staff members were able
to calm the distressed customer. On the top of it, the
The working team at this FDI-funded store is always
fighting among themselves.
Answer:
Option A: Manager - Here "M" should not be in the capital.
Option C: “The” is repeated and is not needed here.
Tips On CAT Preparation for Verbal Ability (Noun):
Understand what nouns are and how they are used, where they are used.
Know the rules to follow while using nouns.
Practice exercises from Wren and Martin
References for CAT 2025 (Nouns)
Wren and Martin
2iim YouTube Channel
Advanced English Grammar by Martin Hewings
The Pearson Guide to Verbal Ability and Reading Comprehension for CAT by Nishit Sinha (2020)
Question bank from CAT-Holic
The above tips and tricks can be used by students to kick-start their CAT preparations.
Free PDFs for CAT Preparation 2025
CAT 2023 Official Question Paper and Answer Key (Slot 1)
Ideally, 30-40 mock tests must be practiced before the exam. Begin with one mock per week in the first phase and increase to 2-3 mocks per week in the final 2 months. Mistakes must be reviewed and performance analyzed after every test to improve.
2.How to score 99+ percentile in CAT?
To achieve 99+ percentile, the candidates need to excel at all three sections, learn time management, and attempt 30–40 full-length mocks with a thorough analysis. Being consistent, working on improving weak areas, and implementing an exam-day strategy for each section are the most important considerations to achieve a high percentile.
3.How to improve accuracy in CAT Logical Reasoning and Data Interpretation (LRDI)?
Daily solve puzzles, seating plans, and DI caselets to enhance logical reasoning. Enhance speed and pattern identification through regular practice of various types of LRDI sets. Mock tests and last year questions assist in increasing accuracy as well as managing time.
4.How many months are required to prepare for CAT?
Ideally, 6–9 months of regular preparation is advised for CAT. Yet, with concerted study and effective time management, candidates may prepare in 3–6 months by mastering key topics, cracking previous year papers, and appearing for regular mock tests.
5.How should I start preparing for CAT 2025?
Start with gaining knowledge of the CAT syllabus and pattern. Concentrate on developing a strong aptitude in Quantitative Aptitude (QA), Data Interpretation & Logical Reasoning (DILR), and Verbal Ability & Reading Comprehension (VARC). Develop a planned study schedule, practice mock tests on a regular basis, and evaluate your performance to strengthen weak points.
With a 98.55 percentile and rank of 22325 in JEE Main, your son has a reasonable chance of getting into a CSE or related branch at DTU (Delhi Technological University), especially if he's a Delhi region candidate.
DTU's CSE cutoff for general category candidates outside Delhi typically falls within the 10,000-12,000 rank range. A rank of 22325 might be a little high for CSE, but not impossible. It depends on the specific year's competition and seat availability.
With a
CRL rank of 1,53,000
and an
EWS rank of 23,000
, it might be challenging to get a seat in
CVR College of Engineering (CVRCE)
for
B.Tech
through
JEE Mains
in the
B Category
(management quota) based on the typical cutoffs.
However, here are some considerations:
B Category (Management Quota)
: Generally, management quota seats may have a higher cutoff compared to regular seats, but they are still often more flexible.
Specific Branch
: You might have better chances in less competitive branches compared to high-demand ones like
CSE
or
ECE
. Branches like
Mechanical
,
Civil
, or
Electrical
might have slightly lower cutoffs.
Recommended Steps:
Check Previous Cutoffs
: Look at the last year's cutoff trends for the
EWS
category in CVR College of Engineering.
Direct Admission or Management Quota
: You can inquire about
direct admission
or
management quota
options if you're considering alternatives.
Counseling and Choice Filling
: During the counseling process, you can list
CVRCE
as one of your preferences to see if any seat becomes available.
It's best to contact the college directly or check their official admission guidelines for more precise information regarding your rank and the available options.
I would recommend you to use
JEE Mains College Predictor Tool
by Careers360 to get the list of possible colleges you can get with your rank or percentile.
I hope this answer helps you. If you have more queries, then feel free to share your questions with us, we will be happy to assist you.
Thank you, and I wish you all the best in your bright future.
Although, it's
very unlikely that you will secure a seat in top ABM with CAT 67 percentile. Here's
is a breakdown to your question:
· CAT
Percentile vs. Score:
A CAT score of 67 typically translates to a percentile in the range of
90-95 percentile
based on the provided data from previous years. While this is a decent score overall, it falls short of the cutoffs for most top-tier ABM programs.
·
Cutoffs for Top ABM Institutes:
IIM Lucknow:
For their PGP-ABM program, the qualifying CAT cutoff for the general category is around
85 percentile
. However, the actual cutoff for shortlisting for the Written Ability Test (WAT) and Personal Interview (PI) stages is likely to be higher.
IIM Ahmedabad:
While they also offer an ABM program (PGP-FABM), their minimum qualifying CAT cutoff is around
80 percentile
, but the final admission cutoffs are usually much higher, often in the
99+ percentile
range for general candidates.
MANAGE (National Institute of Agricultural Extension Management):
Their cutoff in CAT percentile has been around
70 for the general category
in recent years. With a 67 percentile, you might have a slim chance here, but it's still competitive.
CCS NIAM (National Institute of Agricultural Marketing, Jaipur):
They consider CAT scores with a significant weightage (30-51% in their selection criteria). While they don't explicitly state a cutoff, it's reasonable to assume it would be higher than 67 percentile for a good chance of admission.
· Overall
Good CAT Score:
Generally, a CAT percentile of
90 and above
is considered a good score for securing admission to decent MBA programs in India. For top-tier institutes, a percentile of
95 and above
is often preferred.
· MBA
Colleges Accepting 60-70 Percentile:
While there are MBA colleges that accept CAT scores in the 60-70 percentile range, these are generally not the top-ranked or most sought-after ABM programs. The focus of those lists is on general MBA programs, not specifically ABM.
While securing a seat in ABM can be tough, you can research about other colleges, consider other examinations, to improve your application profile.
achieving a 99.99 pecentile in the CAT exam significantly enhances your prospects for admission to JBIMS, which evaluates candidates using an application rating(AR) score, which includes
while ahigh CAT percentile is crucial, a lower academic record may impact your overall AR score. Nonetheless, exceptional performance in other areas, such as entrance exams and extracurricular activities, can help offset weaker academic credentials. it's advisable to review JBIMS's detailed admission criteria and consider strengthening other aspects of your application to enhance your chances
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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