With the CAT 2025 exam getting closer, many students start asking how to prepare smartly, what study plan to follow, and which books or mock tests to trust for both theory and practice. Doubts about how much time to give, how to structure daily study, and whether crash courses actually help are very common. In our 60-day CAT preparation plan, Day 14 is all about mastering quadratic equations. This topic builds directly on what you learned on Day 13, where you tackled linear equations, logical reasoning questions on Directions, and future tense practice in VARC. Today’s goal is to make you more confident in solving equation-based problems step by step.
This Story also Contains
Part-1: Quantitative Aptitude for CAT 2025
Part 2: CAT Logical Reasoning and Data Interpretation:
Part 3: CAT Exam VARC
Best Resources to Practice Questions for CAT 2025
Free PDFs for CAT 2025 preparation
CAT 60 days preparation - day 14
Part-1: Quantitative Aptitude for CAT 2025
In this section, we will focus on Quantitative Aptitude specifically for CAT 2025. You’ll learn key concepts, problem-solving methods, and useful shortcuts. You can also go through practice questions to strengthen your skills and build confidence in handling quantitative problems.
Quadratic Equation Questions For CAT
Quadratic Equations are equations with degree 2. Quadratic Equations are an important part of Algebra as well as for the CAT exam. You can expect 1 or 2 algebra questions for the CAT Exam (based on analysis of previous year's question papers). Quadratic Equations are of the form of ax2 + bx + c =0. Here ‘x’ denotes variables (unknown) and a, b, and c are constants and a≠ 0. To prepare CAT Quadratic Equations questions, you should invest 4-5 hours. Here we will discuss the quadratic equation CAT questions, quadratic equation formula, quadratic equation solutions, roots of quadratic equations, Quadratic Equations examples etc. Quadratic equation problems for CAT can be categorised into the following types:
Questions that involve calculations of some unknown variable.
Questions that involve calculations of the nature of roots.
Formation of the quadratic equation.
Great Lakes - PGDM & PGPM Admissions 2026
Admissions Open | Globally Recognized by AACSB (US) & AMBA (UK) | 17.8 LPA Avg. CTC for PGPM 2025
How to solve quadratic Equations problems for CAT and quadratic equation questions for CAT.
There are three methods which are generally used to find the roots (zeros) of a quadratic equation.
Method of factorization Example: 2x2 + 5x + 3 = 0 ⇒ 2x2 + 2x + 3x + 3 = 0 ⇒ 2x(x + 1) + 3(x + 1) = 0 ⇒ (x + 1) (2x + 3) = 0 ⇒ x = -1 or x = -3/2. This method is suitable only if factors of the quadratic polynomial are possible.
Quadratic Formula (Sridharacharya Formula)
For equation ax2 + bx + c =0. x = [-b ± √D] /2a where D is discriminant which is equal to (b2 - 4ac). Example: 2x2 + 5x + 3 = 0 D = 52 - 4 x 2 x 3 = 1 x = [-5 ± √1] /4 = [-5 ± 1] /4 ⇒ x = -1 or -3/2.
Method of completing the square:
Convert the given equation in the form of either (A+B)2 or (A-B)2 Example: 2x2+ 5x + 3 = 0 ⇒ x2 + 5x/2 + 3/2 = 0 ⇒ x2 + 2 x 5x/4 + 25/16 – 25/16 + 3/2 = 0 ⇒ (x + 5/4)2 – 1/16 = 0 ⇒ (x + 5/4)2 = 1/16 ⇒ (x + 5/4) = ± ¼ ⇒ x = ± ¼ - 5/4 ⇒ x = -1 or -3/2
CAT quadratic equation questions with solutions:
The two Previously Asked Questions from Quadratic Equations in the CAT exam are given below, aspirants can also download the CAT Previous Year Algebra Questions pdf for more practice and references.
Q.1. Suppose one of the roots of the equation ax2 - bx + c = 0 is 2 + √3, where a, b, and c are rational numbers and a ≠ 0. If b = c3 then |a| equals [CAT question paper - 2021]
2
3
4
1
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.
For a quadratic equation, ax2 + bx + c = 0. Since the roots, a, b, and c are all rational and if one of the roots is irrational, the other root of the equation will also be irrational and a conjugate of the first root. So, the other root is 2 - √ 3. Sum of roots = −(-b)/a = b/a = (2 + √ 3) + (2 - √ 3) = 4 And Product of roots = c/a = (2 + √ 3) (2 - √ 3) = 4 - 3 = 1 But here the quadratic equation is ax2 - bx + c = 0. Therefore, b = 4a and c = a It is given that b = c3 4a = a3 So, a = 2 or -2. So, |a| = 2.
Q.2. Let m and n be positive integers, If x2 + mx + 2n = 0 and x2 + 2nx + m = 0 have real roots, then the smallest possible value of m + n is [CAT Question Paper 2020]
8
6
5
7
XAT- Xavier Aptitude Test 2026
75+ years of legacy | #1 Entrance Exam | Score accepted by 250+ BSchools | Apply now
Ans: (b) CAT 2025 quadratic equations questions with answers For real roots b2 ≥ 4ac From first equation: m2 ≥ 4 (2n) ⇒ m2 ≥ 8n From second equation: (2n)2 ≥ 4m ⇒ 4n2 ≥ 4m ⇒ n2 ≥ m If n = 1; m2≥ 8; m ≥ 3 If m ≥ 3 at n = 1, n2 ≥ m is not true. If n = 2; m2 ≥ 16; m ≥ 4 If m ≥ 4 at n = 2, n2 ≥ m which is a valid result, if m = 4 and n = 2 So, the minimum sum of m and n is 4+2 = 6.
Q.3. The sum of twice a number and thrice its reciprocal is 25/2. What is the number? (a) 7 (b) 6 (c) 5 (d) 4
Ans: (b)
Given: The sum of twice a number and thrice its reciprocal is 25/2.
Let the number be x.
According to the question,
⇒ 2x + 3/x = 25/2
⇒ 4x2 + 6 = 25x
⇒ 4x2 – 25x + 6 = 0
⇒ 4x2 – 24x – x + 6 = 0
⇒ (4x – 1)(x – 6) = 0
⇒ (4x–1) = 0 or (x–6) = 0
⇒ x = 6 or ¼
After checking the options, we get, x=6
Hence, the correct answer is option (b).
Q.4. If (x – 2)(x – p) = x2 – ax + 6, then the value of (a – p) is:
(a) 0 (b) 1 (c) 2 (d) 3
Ans: (c) Given: (x – 2)(x – p) = x2 – ax + 6
⇒ x2– px – 2x + 2p=x2 – ax + 6
⇒ x2 – (p + 2)x + 2p=x2 –ax + 6
By comparing both sides of the equation,
p + 2 = a
⇒ a – p = 2
Hence, the correct answer is option (c). Q.5. If x2 + y2 + 2x + 1 = 0, then the value of x31 + y35 is:
(a) –1 (b) 1 (c) 2 (d) 0
Ans: (a)
Given:
x2 + y2 + 2x + 1 = 0
⇒ x2 + 2x + 1 + y2 = 0
⇒ (x+1)2 + y2 = 0
Since the addition of the squares of the two terms is zero,
So, both the terms are individually zero.
Therefore, (x + 1)2 = 0 and y2 = 0
⇒ x = –1 and y = 0
Now, x31 + y35
= (–1)31 + (0)35
= –1
Hence, the correct answer is option (a).
Prerequisite to Solve Quadratic Equation Questions For CAT
Tips to Prepare CAT previous year quadratic equations questions:
Learn all the methods of solving Quadratic Equations and use those methods according to the situation.
If the sum of zeros of a quadratic equation is ‘s’ and the product of zeros is ‘p’. Then the quadratic equation will be x2 - sx + p = 0
The nature of zeros is calculated by just finding the value of D. If D = 0, zeros/ roots are real and equal. If D > 0, zeros/ roots are real and unequal. If D < 0, zeros/ roots are imaginary.
The sum of the roots = -b/a; Product of roots = c/a.
Always check for the feasibility of solutions.
References to Study (Theory):
How to Prepare Quantitative Aptitude by Arun Sharma (6th edition)
2iim (You-Tube)
References to Study (Practice) Quadratic Equation Problems For CAT:
Part 2: CAT Logical Reasoning and Data Interpretation:
Questions based on cubes play an important role in CAT. Here we will discuss cube CAT questions, Cube Logical Reasoning questions and tricks etc.
Topic: Cube Part-1 (LR) And CAT Questions On Cubes
A cube is a 3-D figure which consists of 6 faces, 12 edges, and 8 vertices.
CAT questions on Cube are based on the following concepts:
Painted surface
Opposite faces
Consecutive faces
Number of cuts to make smaller cubes of equal dimension
Approaches and Tips to Solve Cube Questions Logical Reasoning:
If all the faces of a cube (n x n x n) painted with the same colour are cut into (n x n x n) equal parts.
Number of cubes with 3 faces painted = 8 cubes
Number of cubes with exactly 2 faces painted = (n-2) x 12
Number of cubes with exactly 1 face painted = (n – 2)2 x 6
Number of cubes with 0 faces painted = (n-2)3
You can assume your room is a cube to analyze the situation.
You can use the approach of the open cube to solve the question.
Six faces can be seen like this (1,6), (2,4), and (3,5) form opposite pairs. Adjacent faces to face 3 are 1,2,4 and 6. Similarly, we can find the others.
Number of cuts to small cubes of equal size (n) from a larger cuboid of dimension (a x b x c) = (a/2 -1) + (b/2 -1) + (c/2 -1)
Questions that can help you to build the concept of Cubes (Based on CAT EXAM):
An Iron cube is coloured black on four adjoining surfaces while the opposite sides are coloured red. The cube is then cut two times vertically and four times horizontally at right angles. Based on the same answer to the next question.
Q.1. How many cubes (cuboids) have exactly one face coloured black?
1
2
3
4
Ans: D
One cube/cuboid at each black face has exactly one face black colour.
Q.2. How many cubes/cuboids have only one face painted that too in red?
2
3
4
5
Ans: A The cube/cuboid with each red face has exactly one face red coloured.
Q.3. How many cubes/cuboids have more than 2 sides painted?
2
4
6
8
Ans: D More than two faces painted means 3 faces painted i.e. a number of cubes formed at each corner.
Prerequisite to solve Cube And Cuboid Questions:
To Prepare the questions based on Cube, students must have the knowledge of
This topic requires basic calculations
Imagination
Analytical Approach
References to Study (Theory):
Verbal and Non-Verbal Reasoning by R S Aggarwal. (Basic)
Cat preparation-iQuanta (YouTube Channel)
References to Study (Practice):
Verbal and Non-Verbal Reasoning by R S Aggarwal. (Basic)
LRDI for CAT and GMAT by Nishit K Sinha. (Advance)
Previous Year's Question Papers
Part 3: CAT Exam VARC
Get the practice questions, best references and tips to prepare for the CAT Verbal Ability and Reading Comprehension.
Sentence Correction Questions Based on Tenses
In previous articles, we have made strategies to prepare for tenses. Today we are going to discuss how to solve problems of sentence correction based on Tenses. Also, we will explain error correction based on tenses, grammatical error correction, error correction examples etc.
Errors in sentences can be due to any of the following reasons:
Confusion in present tenses
Confusion in past tenses
Confusion in future tenses
Use of the wrong verb
You have to identify which type of error is there in the sentence and prepare them accordingly.
Practice Questions on Sentence correction that can boost your preparation: [Based on PYQs]
CAT Verbal Ability Questions Here are some CAT verbal ability questions curated for aspirants to practice: Find the correct phrase for underlining.
Q.1. The glass of the car broke while the players were playing football.
Broke
Was broken
No correction is required
Was broke
Ans: a The action was done in the past but the time is not known. So, Past indefinite tense is used.
Q.2. I will be meeting you in the morning.
Meet
Meeting
No correction is required
Met
Ans: (a) Future indefinite tense should be used.
Q.3. Preeti attended dance class every Thursday.
Attends
No correction required
Is attending
Will attending
Ans: (a) Action is in the present time at a regular interval of time. Present indefinite should be used.
Q.4. Rani was playing when her father entered the room.
Played
No correction required
Plays
Is playing
Ans: (b) Past continuous tense is to be used as the other sentence is in Past indefinite tense.
Q.5. It had stopped raining when I was leaving the office.
Leave
Was leaving
Left
Leaves
Ans: (c) Past perfect tense should be used as the first phrase in the past perfect tense.
Prerequisite to solve problems of sentence correction based on tenses:
Basic Knowledge of Nouns, Pronouns and Verbs.
Basic knowledge of Tenses.
Knowledge of the use of helping verbs.
Tips to Prepare Error Correction in Tenses:
Practice a lot to improve your grammar.
Write rules and revise them on a regular basis.
During the examination, check on every possibility of error.
Attempt Mock-Test papers and solutions after the test to check your mistakes.
References to Study (Theory):
Advanced English grammar by Wren and Martin
GMATPrepNow (Youtube Channel)
References to Study (Practice):
How to Prepare for Verbal Ability & Reading Comprehension for CAT by Meenakshi Upadhyay and Arun Sharma (9th Edition)
Practising with CAT 2025 sample papers, previous year question papers, and mock tests is crucial for effective exam preparation. These resources help you understand the exam pattern, difficulty level, and question types. Go through the section below to know about the best resources to prepare for the CAT exam 2025:
Sample Papers
CAT sample papers are designed to mirror the actual exam pattern and question types, offering candidates a clear understanding of what to expect. These papers help in familiarising oneself with the structure and distribution of topics across sections. By practising sample papers regularly, aspirants can develop problem-solving techniques, improve their confidence, and fine-tune their preparation strategies based on recurring question trends and sectional weightages.
Previous Year Question Papers
Practising CAT previous year question papers is one of the best ways to understand the actual exam format and difficulty level. These papers provide insight into the types of questions frequently asked, helping identify important topics. They also assist in recognising changes in trends over the years. Solving them under timed conditions boosts speed and accuracy, making candidates better equipped for the real CAT exam environment.
Mock Tests
Mock tests are essential tools in CAT 2025 preparation, offering a realistic simulation of the actual exam. Taking full-length mocks helps in developing effective time management skills and building exam stamina. Detailed performance analysis after each CAT mock test highlights strengths and weaknesses, enabling focused revision. Regular mock test practice also reduces exam anxiety, improves confidence, and ensures that aspirants are mentally and strategically prepared for exam day.
CAT Syllabus: Subjects & Chapters
Select your preferred subject to view the chapters
Aspirants aiming for strong performance in CAT 2025 can benefit greatly from structured resources available in PDF format. These free PDFs for CAT 2025 preparation provide focused practice and conceptual clarity across all sections. One such valuable resource is the CAT study material 2025 for Geometry and Mensuration, which is part of a well-designed, expert-recommended CAT 60-day study material. These PDFs follow the updated exam pattern and include practice questions with detailed solutions. Aspirants can use them for both revision and daily topic-wise practice. Regular use of these resources can significantly improve problem-solving speed and accuracy.
Frequently Asked Questions (FAQs)
Q: Are these topics part of the official CAT syllabus?
A:
While the CAT doesn’t have a fixed syllabus, these topics are consistently seen in past papers and are essential for strong performance.
Q: Can I study quadratic equations, cubes, and tenses together in one day?
A:
Yes, with a well-planned schedule. Spend focused time on each section and practice small question sets to build clarity and confidence.
Q: How do tenses help in the VARC section of CAT?
A:
A good grasp of tenses improves sentence correction and comprehension accuracy, which are common in VARC grammar and usage questions.
Q: What should I know before starting cube-related questions in CAT?
A:
You should understand cube numbers, cube roots, and basic algebraic identities. These concepts help solve number-based and logic-based cube problems efficiently.
Q: What is the reasoning formula for a cube?
A:
If all the faces of a cube (n x n x n) painted with the same colour are cut into (n x n x n) equal parts.
Q: Why do errors appear in sentences?
A:
Errors in sentences can be due to any of the following reasons:
Confusion in present tenses
Confusion in past tenses
Confusion in future tenses
Use of the wrong verb
Q: How can I prepare for error correction or sentence improvement for CAT 2024?
A:
There are several ways one can improve their error correction or sentence improvement skills, these are as follows:
Practice a lot to improve your grammar.
Write rules and revise them on a regular basis.
During the examination, check on every possibility of error.
Attempt Mock-Test papers and solutions after the test to check your mistakes.
Q: Why are quadratic equations important for CAT preparation?
A:
Quadratic equations form a core part of Algebra in the Quant section and frequently appear in CAT with moderate to high difficulty.
Q: Can a quadratic equation have more than two roots?
A:
No, a quadratic equation cannot have more than two roots. We know a quadratic equation is a polynomial of degree 2, which means it can have a maximum of two solutions or two roots, either real or complex.
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.
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 ?
A career as Marketing Director is also known as a marketing expert who is responsible for the overall marketing aspect of the company. He or she oversees plans and develops the company's budget. The marketing Director collaborates with the business team to plan and develop the marketing and branding strategies for the company's products or services.
A Business Development Executive identifies and pursues new business opportunities to drive company growth. They generate leads, build client relationships, develop sales strategies, and analyse market trends. Collaborating with internal teams, they aim to meet sales targets. With experience, they can advance to managerial roles, playing a key role in expanding the company’s market presence and revenue.
Content Marketing Specialists are also known as Content Specialists. They are responsible for crafting content, editing and developing it to meet the requirements of digital marketing campaigns. To ensure that the material created is consistent with the overall aims of a digital marketing campaign, content marketing specialists work closely with SEO and digital marketing professionals.
A Sales Manager leads a sales team to meet targets, formulates strategies, analyses performance, and monitors market trends. They typically hold a degree in management or related fields, with an MBA offering added value. The role often demands over 40 hours a week. Strong leadership, planning, and analytical skills are essential for success in this career.
A marketing manager is a person who oversees a company or product marketing. He or she can be in charge of multiple programmes or goods or can be in charge of one product. He or she is enthusiastic, organised, and very diligent in meeting financial constraints. He or she works with other team members to produce advertising campaigns and decides if a new product or service is marketable.
A Marketing manager plans and executes marketing initiatives to create demand for goods and services and increase consumer awareness of them. A marketing manager prevents unauthorised statements and informs the public that the business is doing everything to investigate and fix the line of products. Students can pursue an MBA in Marketing Management courses to become marketing managers.
An SEO Analyst is a web professional who is proficient in the implementation of SEO strategies to target more keywords to improve the reach of the content on search engines. He or she provides support to acquire the goals and success of the client’s campaigns.
Digital marketing is growing, diverse, and is covering a wide variety of career paths. Each job function aids in the development of effective digital marketing strategies and techniques. The aims and objectives of the individuals who opt for a career as a digital marketing executive are similar to those of a marketing professional: to build brand awareness, promote company services or products, and increase conversions. Individuals who opt for a career as Digital Marketing Executives, unlike traditional marketing companies, communicate effectively through suitable technology platforms.
Individuals who opt for a career as a business analyst look at how a company operates. He or she conducts research and analyses data to improve his or her knowledge about the company. This is required so that an individual can suggest the company strategies for improving their operations and processes.
In a business analyst job role a lot of analysis is done, things are learned from past mistakes and the successful strategies are enhanced further. A business analyst goes through real-world data in order to provide the most feasible solutions to an organisation. Students can pursue Business Analytics to become Business Analysts.
2 Jobs Available
Never miss an CAT update
Get timely CAT updates directly to your inbox. Stay informed!
