Welcome to Day 17 of your dedicated CAT preparation journey. Today’s strategy focuses on two vital Algebra topics: Inequality questions for CAT and Simple Equations CAT questions. These concepts form the foundation of many Quant problems in the exam. To support your learning, download our exclusive CAT Algebra Questions PDF. Stay consistent with our expert-curated 60-day CAT exam preparation schedule to build a smart study routine and stay ahead in your CAT 2025 goals.
This Story also Contains
CAT 2025 Quantitative Aptitude
CAT Logical Reasoning and Data Interpretation
CAT VARC Vocabulary
CAT 2025 Ebooks by Careers360
CAT Preparation day 17
CAT 2025 Quantitative Aptitude
Quantitative Aptitude for CAT 2025 is a critical section that tests your mathematical and analytical skills. Covering topics like Arithmetic, Algebra, Geometry, and Number Systems, mastering this section is key to scoring high. Strengthen your preparation with CAT mock tests, CAT sample papers, and topic-wise practice sets based on the latest CAT Quantitative Aptitude syllabus.
Inequalities Questions for CAT (Algebra)
In Linear Equations and Quadratic Equations, we deal with problems where the Left-hand side is equal to the right-hand side to find the unknown value.
In Inequalities, the LHS and RHS are not equal (but have the possibility of being equal).
Any of the following cases are possible in CAT inequalities questions:
LHS ≥ RHS; LHS > RHS; LHS < RHS; LHS ≤ RHS
For example, if we say a > 3, a can have values 4, 5, 6, ………. (If integer solutions are required)
Generally, two types of cat inequality questions are asked:
We have to study in detail topics like quadratic inequalities, modulus inequalities, and linear inequalities.
CAT 2025: Inequalities Questions with Answers
Aspirants can also download the CAT inequalities questions pdf for further reference and practice. The CAT 2025 inequalities questions with answers are given below:
Q1. The number of distinct pairs of integers (m, n) satisfying |1 + mn| < |m + n| < 5 is:
[TITA, CAT Exam 2021, Slot-3]
Solution:
|1 + mn| < |m + n| < 5
⇒|1 + mn| < |m + n
On squaring both sides,
(1 + mn)2 < (m + n)2
⇒1 + 2mn + m2n2 < m2 + n2 + 2mn
⇒1 - n2 - m2 + m2n2 < 0
⇒ (1 - m2) (1 - n2) < 0
Case 1:
For integer values of m and n, if n2 > 1, Then (1 - m2) must be positive which is possible only when m = 0.
|m + n| < 5
⇒ |n| < 5
So, n can be ±2, ±3, ±4 (n cannot be ±1, if taken product becomes 0)
Case 2:
(1 - m2) (1 - n2) < 0
Possible if n = 0 and m2 > 1
Similarly, m can be ±2, ±3, ±4 (m cannot be ±1, if the taken product becomes 0)
In each case, we have six possible solutions.
Therefore, a total of 12 solutions are possible.
Q2. The smallest integer n for which 4n ＞1719 holds, is closest to:
[CAT Exam 2018]
33
39
37
35
CAT 2025: VARC, DILR, and Quant MCQs & Weightages
Comprehensive CAT prep guide with focused practice on Verbal Ability, Data Interpretation & Logical Reasoning, and Quantitative Aptitude.
The distance between these two points can be represented by |x – y| or |y – x|.
Let's take the first part of the inequality. |n – 60| < |n – 100| This inequality holds good for the values of n below 80. Hence ‘n’ should be less than 80.
Now Let's check for the later part of the inequality. |n – 100| < |n – 20| This inequality holds good for the values of n above 60. Hence ‘n’ should be greater than 60.
∴ Values of ‘n’ range from 61 to 79. So, the total possible integers that satisfy this inequality are 19.
Hence, the correct answer is 19.
Q4. The largest real value of a for which the equation |x + a|+|x – 1| = 2 has an infinite number of solutions for x is:
[CAT 2022]
-1
0
1
2
Solution:
In the question, it is given that the equation |x+a|+|x-1|=2 has an infinite number of solutions for any value of x.
This is possible when x in |x + a| and x in |x - 1| cancel out. Case 1: x + a < 0, x ≥ 0 ⇒ - a - x + x - 1 = 2 ⇒ a = -3 Case 2: x + a ≥ 0 and x - 1 < 0 ⇒ x + a - x + 1 = 2 ⇒ a = 1 ∴ The largest value of a is 1. Hence, the correct answer is 1.
Prerequisite to Attempting Tough Questions On Inequalities for the CAT Exam:
Students can also refer to our mock tests and practice papers of CAT here: CAT inequalities questions pdf.
CAT Logical Reasoning and Data Interpretation
CAT Logical Reasoning and Data Interpretation (CAT LRDI) is one of the most challenging yet scoring sections of the CAT exam. It assesses your problem-solving, analytical thinking, and data interpretation abilities. For CAT 2025, focus on mastering puzzles, caselets, graphs, and tables. Regularly practising CAT sample papers and CAT mock tests will enhance accuracy and boost confidence.
Linear Arrangement questions for CAT (Problem Solving/ Puzzles)
Placing objects or persons in a line with a specific rule is called linear arrangement.
According to a given set of rules or instructions, people have to be seated in a single line. Sometimes these arrangements are referred to as “Seating Arrangement.”
Concepts involved and importance of CAT Linear Arrangement questions:
Questions of Linear Arrangement involve the concept of Blood Relation, Ranking, Direction Sense etc.
Also, Ranking questions carry a good weightage in the CAT Exam as seen in last year’s Exams.
Knowledge of solving problems enables you:
To identify the unique position of a person in an arrangement.
To identify the respective positions of persons.
Relations among the persons/ objects.
Previous Year's Questions on Linear Arrangement (LRDI questions for CAT)
Linear Arrangement is a frequently tested topic in the CAT Logical Reasoning and Data Interpretation (LRDI) section. These questions require arranging individuals or objects in a line based on given conditions. CAT previous year papers often feature tricky linear arrangement sets that test your logical sequencing and condition-based deduction skills. Linear Arrangement questions for CAT are given below:
The first-year students in a business school are split into six sections. In 2019 the Business Statistics course was taught in these six sections by Annie, Beti, Chetan, Dave, Esha, and Fakir. All six sections had a common midterm (MT) and a common end term (ET) worth 100 marks each. ET contained more questions than MT. Questions for MT and ET were prepared collectively by the six faculty members. Considering MT and ET together, each faculty member prepared the same number of questions. Each MT and ET had at least four questions that were worth 5 marks, at least three questions that were worth 10 marks, and at least two questions that were worth 15 marks. In both MT and ET, all the 5-mark questions preceded the 10-mark questions, and all the 15-mark questions followed the 10-mark questions.
[CAT Exam 2019]
The following additional facts are known.
Anie prepared the fifth question for both MT and ET. For MT, this question carried 5 marks.
Annie prepared one question for MT. Every other faculty member prepared more than one question for MT.
All questions prepared by a faculty member appeared consecutively in MT as well as ET.
Chetan prepared the third question in both MT and ET; Esha prepared the eighth question in both.
Fakir prepared the first question in MT and the last one in ET. Dave prepared the last question for MT and the first one for ET.
Q1. The second question in ET was prepared by:
Chetan
Esha
Beti
Dave
Answer: (D)
Q2. How many 5-mark questions were there in MT and ET combined?
13
10
12
Cannot be determined
Answer: (A)
Q3. Who prepared 15-mark questions for MT and ET?
Only Dave, Esha and Fakir
Only Beti, Dave, Esha and Fakir
Only Esha and Fakir
Only Dave and Fakir
Answer: (A)
Q4. Which of the following questions did Beti prepare in ET?
Tenth question
Ninth question
Fourth question
Seventh question
Answer: (A)
Total Solution:
The number of questions in MT and ET is at least 4 questions for 5 marks, at least 3 ques for 10 marks, and 2 questions for 15 marks
Marks constituted by these questions = 5 × 4 + 10 × 3 + 15 × 2 = 80
The remaining 20 marks can be distributed as (5, 5, 5, 5), (5, 5, 10), (5, 15), (10, 10)
So, the maximum number of questions in a paper can be 4 = 3 + 2 + 4 = 13
It is also given that each faculty (6) prepared an equal number of questions. So, the possibilities of questions (Total of both) are 6, 12, 18, and 24.
So, the total number of questions in both = 24 (as 6, 12, and 18 are less than the required)
Therefore, MT and ET must have 12 questions each. However, this is wrong since the number of questions in ET is greater than the number of questions in MT.
So, ET must have 8 questions of 5 marks, 3 questions of 10 Marks and 2 questions of 15 marks.
MT has 5 questions of 5 marks, 3 questions of 10 Marks and 3 questions of 15 marks. (Since the 5th question is of 5 marks, question case of 10,10 marks is ruled out)
Another only possibility is ET has 13 questions and MT has 11 questions.
Q No.
1
2
3
4
5
6
7
8
9
10
11
12
13
Marks (ET)
5
5
5
5
5
5
5
5
10
10
10
15
15
Faculty Name (ET)
D
D
C
C
A
A
A
E
E
B
B
F
F
Marks (MT)
5
5
5
5
5
10
10
10
15
15
15
NA
NA
Faculty Name (MT)
F
F
C
C
A
B
B
E
E
D
D
A prepared only one question for MT. So, A must be followed by B (only possibility).
Therefore, A must prepare three consecutive questions in ET.
Hence, B must prepare Q10 and 11 in ET.
Prerequisite for CAT questions on Linear Arrangement:
Sometimes arrangements are made based on Ranking. So, you must have knowledge of Ranking.
Similarly, you should have knowledge of Direction Sense.
You should have knowledge of Blood relations.
Tips and Tricks to Solve Linear Arrangement Questions CAT
Mastering Linear Arrangement questions in CAT requires consistent practice and a clear approach. This approach helps candidates create their strategy for the different types of arrangement questions. There are some points that can help you to solve the problems with the linear arrangement:
First, find out the number of persons sitting in the Seating Arrangement.
Determine the rows in the arrangement.
Determine the number of persons in each row.
Determine the direction of facing of the persons sitting in the row. (This is the most important rule, most of the mistakes are made here)
Remember the information by short notations.
Use pictorial representations and tables while solving the problems.
While reading the problem, if you find any line of no importance, then skip that line for later.
Do not waste much time on a single line.
Make all the possibilities. Do not leave any possibility.
References to Study (Theory):
LRDI by Nishit K Sinha (Basic)
Cat preparation-iQuanta (YouTube Channel)
MBAP CAT EBook (Concept Theory)
References to Study (Practice):
Verbal and Non-Verbal Reasoning by R S Aggarwal. (Basic)
LRDI for CAT and GMAT by Nishit K Sinha. (Advance)
MBAP CAT EBook (Practice Questions).
CAT Previous Years' Question Papers
CAT VARC Vocabulary
CAT 3000+ Vocabulary Ebook has a huge collection of words and their meanings. It is an important part of our life and day-to-day communication. Here are the benefits of having a good vocabulary before the CAT 2025 Exam:
Communicate effectively.
You can express what you want to say.
Your reading and writing skills will be improved.
You can understand the others properly.
In the CAT Exam, long passages are given. Without a good vocabulary, understanding them will be difficult for you.
Direct questions on Synonyms and Antonyms are also asked in CAT. A good vocabulary will help you score well in the CAT Exam.
Tips to Learn new words:
There are some suggestions which can help you improve your vocabulary.
Keep an organised notebook with you always.
Read the newspaper articles and write the new words along with their meanings.
Revise the written words regularly.
Try to use these new words in your communication.
Solve puzzles and crosswords.
Read novels.
Use a dictionary.
Make a target of learning at least 10 new words every day.
Try to form sentences with the new words learnt.
Students can also practice “Vocabulary for CAT exam book”, “5000 CAT vocabulary pdf”, and “CAT vocabulary questions with answers pdf” to grasp more on this topic.
Practice Questions on Vocabulary [Based on CAT Previous year Papers]
Q1. A word has been used in sentences in THREE different ways. Choose the option corresponding to the sentence in which the usage of the word is CORRECT or APPROPRIATE.
[IPMAT 2020 Sample Paper]
CONFLATE
(I) I was able to conflate the two processes into one, blending it down into a solid formula.
(II) The bag is divided into conflate compartments.
(III) The dogs started to snarl at each other so I had to conflate them.
Only (I)
Only (II)
Only (III)
Both (I) and (II)
Solution: A
Conflate: Combine two or more sets of information, texts or ideas into one.
Only in (I), sense is off to combine.
Q2. [Based on CAT exam]
The notion that consumers are logical decision-makers with complete insight into the factors determining the choices they make is simplistic (A)/ vapid (B).
A shopper’s mind is not a clean slate. Information and experience are refracted (A)/ retracted (B) through the lens of belief.
Information that’s contrary (A)/ inconsistent (B) with those beliefs is likely to be rejected.
Even experience is malleable (A)/ intractable (B). For many, the same glass of wine tastes better when poured from a
100bottlethanfroma
10 bottle.
AABA
BAAB
BAAA
ABAB
Solution: A
Vapid means uninspired or insipid. "Simplistic" should be used here.
Refracted’ should be used here, as the sentence refers to the “lens of belief. ‘Retracted’ meaning ‘taken back’ does not make sense here.
"Contrary" is normally followed by ‘to’ whereas ‘inconsistent’ is followed by ‘with’. So "inconsistent" is the right choice here.
‘malleable’ is used in the sense of being moldable or changeable, which is the right choice for this blank. ‘Intractable’ or rigid is the exact opposite of what the author wants to convey.
CAT 2025 eBooks by Careers360 are expertly curated digital guides designed to support focused and effective exam preparation. Covering all three sections, Quantitative Aptitude, VARC, and DILR, these eBooks include comprehensive theory, shortcut techniques, solved examples, and practice questions.
Q: Are Linear Arrangement questions time-consuming in CAT?
A:
Yes, they are time-consuming. However, you have to follow a regular practice routine to develop speed and approach to solve these questions.
Q: How much time should I dedicate to vocabulary daily?
A:
Spend at least 15–20 minutes daily on vocabulary to build consistency, retention, and contextual understanding for CAT.
Q: How important are inequalities in the CAT Quant section?
A:
Inequalities are key for solving complex Quant problems and appear often; mastering them boosts accuracy and confidence.
Q: What is the best way to start learning Linear Arrangements?
A:
Begin with basic problems, use visual diagrams, and solve step-by-step to understand clue-based positioning clearly and logically.
Q: What is an inequality?
A:
Inequality is a mathematical expression where two expressions are compared with each other to show that one expression is greater than or less than or equal to or greater than equal to or less than equal to the other expression and vice versa.
Symbols used in inequalities are >, <, =, ≥, ≤.
Q: How do you solve linear inequalities?
A:
We have to treat the inequality as an equation and solve for the variable.
Reverse the inequality sign if you multiply or divide both sides by a negative number.
Represent the solution on a number line and in interval notation.
Q: What types of conditions are commonly given in linear arrangement problems?
A:
Common conditions of linear arrangement problems are:
Positional information questions
Distance-based questions
Relative positions
Specific positions
Conditional constraints questions
Q: What is the basic approach to solving linear arrangement problems?
A:
First, read all the information carefully.
Based on that information, draw a linear diagram.
Place elements in each position as per the given conditions.
Gradually complete the whole diagram with all the pieces of information.
Cross-check the whole diagram based on the conditions.
Q: How can I improve my vocabulary for the CAT exam?
A:
You can improve your vocabulary skills in many ways.
Regularly read English newspapers, journals and magazines.
Create notebooks of new words that are learnt every day and review them every week.
Sometimes if you don't know the meaning of the word, try to understand the meaning of the sentence overall. It will help you to know the meaning of unfamiliar words.
Pay attention to the words used in which context. This will help you understand better the meaning of the word.
Q: What types of vocabulary questions are commonly found in the CAT exam?
A:
Common types of questions in the vocabulary section are:
Hey! With an All India Rank (AIR) of 302,821 in NEET and belonging to the BCE category, it is highly unlikely to get a BDS seat in Telangana under the state quota, as the closing ranks for BCE are usually below 50,000. You may consider applying to private colleges under management quota or explore BDS seats in other states, but the chances remain very limited with this rank.
At KIMS Amalapuram, the internship stipend for MBBS students is generally reported to be around 20,000 per month, though some students have mentioned that in certain years no stipend was provided at all, which means it can vary depending on the policies in place at the time of your internship. To get the most accurate and updated information, it is always best to confirm directly with the college administration or recent interns, but on average, you can expect a stipend in the range of 18,000-20,000 per month during the compulsory rotating internship.
Since your payment status shows
"S"
, it means your payment is successful. The "payment unsuccessful" message on the form is likely a temporary system error or a delay in updating.
Do not make another payment.
Making a second payment could cause a double debit, which is difficult to get a refund for. You should:
Wait 24-48 hours
for the status to update automatically.
Download and save
a copy of your form and a screenshot of the "S" payment status as proof.
Check your bank statement
to confirm the money has been debited.
If the issue is not fixed after 48 hours,
contact the official CAT helpdesk
immediately with your transaction details.
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.
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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