CAT Aspirant's Triad: Mastering Quadratic Equations, Introduction to Cubes, and Tenses All in One - Day 14

CAT Aspirant's Triad: Mastering Quadratic Equations, Introduction to Cubes, and Tenses All in One - Day 14

Edited By Team Careers360 | Updated on Sep 19, 2024 03:22 PM IST | #CAT

With the CAT 2024 exam date approaching, you may be confused about how to study effectively in just 2 months, what strategy to use, and the best sources for theory and practice. Questions about whether you can crack the CAT in 2 months, how much CAT preparation time is needed, and the best study plans are common. You might also be considering a 2-month crash course.

This Story also Contains
  1. Part-1: Quantitative Aptitude for CAT 2024
  2. Part 2: CAT Logical Reasoning and Data Interpretation:
  3. Part-3: CAT Exam VARC
  4. Free PDFs for CAT 2024 preparation
CAT Aspirant's Triad: Mastering Quadratic Equations, Introduction to Cubes, and Tenses All in One - Day 14
CAT Aspirant's Triad: Mastering Quadratic Equations, Introduction to Cubes, and Tenses All in One - Day 14

For Day 14 of our CAT preparation, we’re focusing on Quadratic Equations questions. This article will help you practice and understand different types of Quadratic Equations that frequently appear on the exam.

Following the 60-day CAT exam preparation schedule we’ve provided will keep you on track with a structured plan. We’ve already covered strategies for Algebra (Linear Equations ), Direction ion (Logical Reasoning), and Future Tenses on Day 13. Today, we’ll dive into quadratic equations to further enhance your preparation.

Part-1: Quantitative Aptitude for CAT 2024

Topic: Quadratic Equation (Algebra) And Quadratic Equation Questions For CAT

Quadratic Equations are the 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:

Great Lakes - PGPM & PGDM 2025

Admissions Open | Globally Recognized by AACSB (US) & AMBA (UK) | 17.3 LPA Avg. CTC for PGPM 2024 | Application Deadline: 1st Dec 2024

ISBR Business School PGDM Admissions 2025

180+ Companies | Highest CTC 15 LPA | Average CTC 8 LPA | Ranked as Platinum Institute by AICTE for 6 years in a row | Awarded Best Business School of the Year

  • Questions that involve calculations of some unknown variable.

  • Questions that involve calculations of the nature of roots.

  • Formation of the quadratic equation.

CAT 2024 College Predictor
Know Your Chances for getting Calls from IIMs & other Top MBA Colleges through CAT Percentile, based on your category, academic profile, work-ex & CAT result.
Use Now

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]

  1. 2

  2. 3

  3. 4

  4. 1

ICFAI Business School-IBSAT 2024

9 IBS Campuses | Scholarships Worth Rs 10 CR

UPES MBA Admissions 2025

Ranked #41 amongst institutions in Management by NIRF | Accredited Grade 'A' by NAAC | 100% Placement

Solution: (a)

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]

  1. 8

  2. 6

  3. 5

  4. 7

Ans: (b)
CAT 2024 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

For this topic, students must have knowledge of

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, cube logical reasoning 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.

1694606730536

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:

  1. 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

  1. You can assume your room is a cube to analyze the situation.

  2. You can use the approach of the open cube to solve the question.

1694606733677

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.

  1. 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. 1

  2. 2

  3. 3

  4. 4

Ans: D

1694606733603

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?

  1. 2

  2. 3

  3. 4

  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?

  1. 2

  2. 4

  3. 6

  4. 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

Topic: How to solve problems of sentence correction based on Tenses.

In previous articles, we have made strategies to prepare 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.

  1. Broke

  2. Was broken

  3. No correction is required

  4. 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.

  1. Meet

  2. Meeting

  3. No correction is required

  4. Met

Ans: (a)
Future indefinite tense should be used.

Q.3. Preeti attended dance class every Thursday.

  1. Attends

  2. No correction required

  3. Is attending

  4. 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.

  1. Played

  2. No correction required

  3. Plays

  4. 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.

  1. Leave

  2. Was leaving

  3. Left

  4. 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)

  • Practice CAT Sample Question Papers.

Free PDFs for CAT 2024 preparation

Articles

Certifications By Top Providers

Explore Top Universities Across Globe

University of Essex, Colchester
 Wivenhoe Park Colchester CO4 3SQ
Queen Mary University of London, London
 Mile End Road, London E1 4NS
University of Strathclyde, Glasgow
 16 Richmond St, Glasgow G1 1XQ
Oxford Brookes University, Oxford
 Headington Campus Oxford OX3 0BP UK
Northumbria University, Newcastle City Campus
 Sutherland Building, Northumberland Road, Newcastle-upon-Tyne, NE1 8ST
Cardiff Metropolitan University, Cardiff
 Llandaff Campus, Western Avenue, Cardiff, CF5 2YB

Questions related to CAT

Have a question related to CAT ?

With a 59.95 percentile in CAT 2024 and ST category, you can expect calls from newer IIMs like IIM Bodh Gaya, IIM Jammu, and IIM Sirmaur, as they have lower cutoffs for reserved categories. Non-IIM options like IIT Madras (MBA), NIT Trichy (MBA), and state universities like Delhi School of Economics (DSE) might also consider your profile. Apply to institutions that prioritize diversity and offer ST reservation. Ensure your application highlights strong academics and achievements.

For more details you can visit the link given below

https://bschool.careers360.com/cat-percentile-predictor


Hi,

Based on the previous year analysis, According to your CAT 2024 percentile some of the best colleges offering MBA and PGDM course in Telangana in which you have chances to get a seat are the following

  • GITAM School of Business, Hyderabad
  • Institute of Management Technology, Hyderabad
  • School of Business Excellence, Hyderabad
  • IIRM Hyderabad
  • Dhruva college of Management, Hyderabad

For more information about the colleges in which you have chances to get a seat you can predict using MBA college predictor tool provided below

https://bschool.careers360.com/cat-college-predictor

Hope this information will help you

Hi,

With a CAT 2024 score of 93.94 percentile, you have a good chance of getting calls from several IIMs. Here are some possibilities:

IIMs:

  • IIM Jammu

  • IIM Bodhgaya

  • IIM Udaipur

  • IIM Kashipur

  • IIM Vizag

Apart from IIMs, you can also consider other prestigious B-schools like:

  • Management Development Institute (MDI) Gurgaon

  • FMS Delhi

  • IIT Delhi

  • IIM Lucknow

  • IIM Indore

  • IIM Raipur


CAT exam is conducted every year for purpose of admission to various prestigious business school and management institutes in India. The exam is also considered among toughest entrance exams in India. The exam rats the logical skills of the candidates. You can get the college list based on your CAT score by simply visiting CAT College Predictor 2024

Hi Sonu,

Preparing for CAT 2025 through self-study requires the right study materials, a structured plan, and consistent effort. CAT Syllabus comprises of Quantitative Aptitude (QA), Data Interpretation and Logical Reasoning (DILR), Verbal Ability and Reading Comprehension (VARC).

You can get more detailed information in the mentioned website of Careers360, it will be helpful enough for preparation of CAT 2025.

If looking for online sources, you can go through few channels on YouTube like- Study Buzz, Takshzila, and Career Launcher. Apps like unacademy and Byju's can help as well.

All the best for your CAT preparation.

https://bschool.careers360.com/exams/cat/study-material

View All

Directions for question :

M/s Deloitte Touche Tohmatsu Limited, one of the top four audit and accounting firms in the world with headquarters at London, UK, and with an operational presence in 153 countries, hires Management Trainees (MT) from all the premier management institutes of India thrice every year, in the months of January, May and September.

Each new group of Management Trainees (MT) have to go through a four month rigorous training schedule, after which they have to pass through a test consisting of a written assessment and a case-analysis. The top hundred ranked Management Trainees (MT) based on the performance in the test are confirmed as Management Executives (ME). The rest are given the opportunity of undergoing the training for four months one more time along with the next batch of Management Trainees (MT) and then passing through the subsequent test consisting of the written assessment and case-analysis. The Management Trainee (MT) who fails to get confirmed as a Management Executive (ME) the second time is fired.

The scatter-graph below depicts the number of Management Trainees (MT) at Deloitte taking the tests from January 2020 till May 2022, and the vis-à-vis hired Management Trainees (MT) at Deloitte who were fired :

It is also known that for the month of September 2019 at Deloitte, 96 hired Management Trainees (MT) failed to be confirmed as a Management Executive (ME) the first time, and that 36 hired Management Trainees (MT) were fired. 

Question :

In which test did the minimum number of Management Trainees (MT) get confirmed as a Management Executive (ME) in the second attempt ?

Option: 1

September 2020

 

 


Option: 2

May 2021


Option: 3

January 2021

 


Option: 4

January 2022 


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the first customer's order be considered closed ?

 

Option: 1

6.15 pm

 

 


Option: 2

6.17 pm

 


Option: 3

6.18 pm

 


Option: 4

6.20 pm


Directions for question :

Six sticks of equal lengths were kept in the vertical position in an empty flower-vase, to be arranged at the six corners of a regular hexagon. The two ends of each of the sticks were of different colours. 

The top ends of the sticks were one of each of the following colours – Red, Cyan, Pink, Brown, Black and Green. The bottom ends were one of each of the following colours – Blue, Yellow, White, Orange, Purple and Grey. Both the sets of colours mentioned were in no particular order.

It was also known that :

a) The stick with the red colour was opposite to the stick with the blue colour

b) There were exactly two sticks whose both ends had colours whose names started with the same letter

c) The stick with the grey colour was adjacent to the stick with the white colour

d) The stick with the cyan colour was adjacent to both the sticks with the brown colour and the one with the blue colour

e) The stick with the purple colour was adjacent to both the sticks with the grey colour and the one with the green colour

f) The stick with the white colour was opposite to the stick with the green colour

Question :

What was the colour of the bottom end of the stick having brown colour at the top end ?

Option: 1

 White 

 


Option: 2

Yellow 


Option: 3

Black

 


Option: 4

Grey


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the third customer's order be considered closed ?

 

Option: 1

6.28 pm

 


Option: 2

6.35 pm

 


Option: 3

6.38 pm


Option: 4

6.45 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis, when would the second customer's order be considered closed ?

Option: 1

6.20 pm

 

 


Option: 2

6.18 pm


Option: 3

6.15 pm

 


Option: 4

6.12 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis, when would the third customer's order be considered closed ?

 

Option: 1

6.22 pm

 


Option: 2

6.25 pm


Option: 3

6.28 pm 


Option: 4

6.30 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

A fourth customer comes in and orders two plates of French Toast at 6.24 pm. Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis. For exactly how many minutes would one of the friends be idle from 6.00 pm till serving the last customer, assuming that the four customers were the only ones to have come in within the period being discussed ?

Option: 1

9

 


Option: 2

13


Option: 3

18


Option: 4

21


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Had Niloy been absent on that day, and assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the fourth customer's order (refer to the previous question) be considered closed ?

Option: 1

6:38 pm

 


Option: 2

6:42 pm

 


Option: 3

6:47 pm


Option: 4

6:49 pm


Directions for question:

The bar-graph given below shows the foreign exchange reserves of Nepal (in million Rupees) from 2014 to 2021. Answer the following questions based on the graph :

Question:

What was the percentage increase (rounded to the nearest integer, if deemed necessary) in the foreign exchange reserves in 2020 over 2016 ?

Option: 1 None

Option: 2 None

Option: 3 None

Option: 4 None

Directions for question:

The Jadavpur University’s Prince Anwar Shah Road hostel consists of two large separate buildings, one for the ladies and the other for the gents, while having a common kitchen and dining hall. It is the hostel of the CS and the EEC department of engineering students of the university.

In recognition of the growing dissatisfaction and hence complaints among the inmates of the hostel regarding the menu served for dinner, the Dean of the engineering department, Dr Aparesh Sanyal, personally decided to investigate the matter. He set about collecting information about the preference of dinner among the inmates, separately from the gents and the ladies wing of the hostel.

Dr Sanyal was able to gather the following partial information :  

 

Hostel inmates

Menu preference for dinner

Total

Egg Meal

Fish Meal

Chicken Meal

Gents

   

20

 

Ladies

     

64

Total

 

60

   

 

The Warden of the hostel was consulted, who after investigation declared that the following facts were clear :

1. Forty percent of the hostel inmates were ladies

2. One-third of the gentlemen inmates preferred an egg meal for dinner

3. Half the hostel inmates preferred either fish meal or chicken meal

Question:

What proportion of the lady hostel inmates preferred a fish meal for dinner ?

 

 

Option: 1

0.25

 

 


Option: 2

0.50

 


Option: 3

0.75

 


Option: 4

1.00 


Marketing Director

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. 

4 Jobs Available
Business Development Executive

A Business Development Executive (BDE) is a professional responsible for identifying growth opportunities and fostering strategic partnerships to enhance a company's market position. Typically, a BDE conducts market research, analyses industry trends, and identifies potential clients or business prospects. He or she plays a crucial role in developing and implementing sales strategies to achieve revenue targets. 

A BDE often collaborates with cross-functional teams, including marketing and product development, to align business objectives. Strong communication, negotiation, and relationship-building skills are essential for success in this role. BDE strives to expand the company's customer base, drive sales, and contribute to overall organisational growth in a dynamic and competitive business environment.

3 Jobs Available
Content Marketing Specialist

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.

3 Jobs Available
Sales Manager

A sales manager is a revenue-generating source for a company. Any organisation or company which sells a commodity or service requires sales to generate revenue. A Sales manager is a professional responsible for supervising the sales team. An Individual as a sales manager works closely with salespeople, assigns sales territories, sets quotas, mentors the members of the sales, assigns sales training, and builds a sales plan. 

The Sales Manager work also includes hiring and laying off sales personnel after evaluating his or her work performance. In bigger entities, sales quotas and plans are usually set at the executive level. He or she is responsible for overseeing the set target or quotas met by salespeople or upholding any policy. He or she guides his or her fellow salespeople and allows them to sell.

2 Jobs Available
Business Analyst

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
Marketing Manager

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.

2 Jobs Available
SEO Analyst

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. 

2 Jobs Available
Digital Marketing Executive

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.

2 Jobs Available
Back to top