Conquering Functions & Graphs, Puzzle Questions for Linear Arrangement, and Conditionals- Day 18

Conquering Functions & Graphs, Puzzle Questions for Linear Arrangement, and Conditionals- Day 18

Edited By Team Careers360 | Updated on Sep 19, 2024 02:39 PM IST | #CAT

Based on the CAT syllabus 2024, we have created a study schedule to ace the CAT Exam. We discussed a plan for every day from Day 1 through Day 17 in advance.


On the basis of the CAT syllabus 2024, we discussed strategies on how to prepare for inequalities (Algebra), puzzles/problem-solving based on linear Arrangement , and vocabulary in the previous article - Day 17 of CAT preparation. We have brought you CAT problem-solving questions and answers for you to practice and learn the concepts for a better flow.

This Story also Contains
  1. CAT Exam Part-A: Quantitative Aptitude for CAT 2024
  2. Part-B: CAT Logical Reasoning and Data Interpretation:
  3. Part-C: CAT Exam VARC
  4. Free PDFs for CAT 2024 preparation
Conquering Functions & Graphs, Puzzle Questions for Linear Arrangement, and Conditionals- Day 18
Conquering Functions & Graphs, Puzzle Questions for Linear Arrangement, and Conditionals- Day 18

We're back with a strategy for the Day 18 of our preparation for the CAT 2024. In this article, we will be discussing strategies for the following topics and CAT problem-solving questions answers including function and graph CAT questions and CAT previous year questions on functions.
With the 60-day CAT exam preparation schedule we created for you, you can ace the CAT 2024 and get a flow, plan, and schedule for your preparation.

CAT Exam Part-A: Quantitative Aptitude for CAT 2024

Topic: Algebra (Functions and Graph) and CAT Problem-Solving Questions Answers

Definition: In a system, the output is a function of the input or, we can say function describes a relation between input and output.
For example: f(x) =x2, describes output (f(x)) varies as square of the input (x).
Functions can be well represented by graphs and with the help of graphs, solutions can be drawn effectively. The graph shows the variation of output with the inputs.

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

1696411576416

Tips and Tricks to Prepare Functions and Graphs for CAT

  1. To solve the questions of function and graph for CAT, you have to learn some specific functions CAT questions and their graphs. A few of them are here with examples.

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

Odd Function: If f (– x) = – f (x)
For example: f (x) = x3 + sin x; 0 ≤ x ≤ 2π
f(–x) = (–x)3 + sin (-x) = – x3 – sin x = – f(x)
So, the given function is an odd function.
(Graph of odd functions are symmetrical about the origin)

Even function: If f (– x) = f (x)
For example: f (x) = x2 + cos x; 0 ≤ x ≤ 2π
f(–x) = (–x)2 + cos (–x) = x2 + cos x = f(x)
So, the given function is an even function.
(Graphs of even functions are symmetrical about the y-axis).
Functions can neither be odd nor even but can be expressed as the sum of even and odd functions.

Composite Functions: It is a function of some other function.
(g o f) (x) = g [f(x)]
(f o g) (x) = f [g(x)]

  1. Understand the concept of Domain and Range:
    Domain: Set of input values represented on the x-axis of the graph.
    Range: Set of output values represented on the y-axis of the graph.

  2. Learn the graphs of some functions as shown and that will be very helpful.

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

16964115772411696411577895

Functions Questions For CAT From CAT Previous Year Papers

Q1. If f(x) = x2 − 7x and g(x) = x + 3, then the minimum value of f(g(x)) − 3x is: [CAT exam 2021, slot-3]

(a) – 20 (b) – 15 (c) – 12 (d) – 16

Ans: (d)

f (g(x)) – 3x
= (x + 3)2 – 7(x + 3) – 3x
= x2 + 9 + 6x – 7x – 21 – 3x
= x2– 4x – 12
= x2 – 4x + 4 – 4 – 12
= (x – 2)2 – 16
The minimum value of this function will be -16 for x =2.

Q2. If f(x + y) = f(x).f(y) and f(5) = 4, then f(10) – f(–10) is equal to [CAT exam 2024, slot-3]

(a) 3 (b) 0 (c) 14.0625 (d) 15.9375

Ans: (d)

It is given that f(x+y) = f(x) × f(y)
For y = 0, f(x) = f(x) × f(0) ⇒ f(0) = 1.
For, x = 5, f (5) = 4
Now, f(10) = f(5 + 5) = f(5) × f(5) = 4 × 4 = 16
⇒ f(10) = 16
We can write;
f(0) = f(10 - 10) = f(10 + (-10)) = f(10) × f(-10) = 1
f(-10) = 1/16
f(10) - f(-10) = 16 – 1/16 = 15.9375

Q3. For all real values of x, the range of the function f(x) = (x2 + 2x + 4)/(2x2 + 4x + 9) is:
(a) [4/9, 8/9] (b) [3/7, 8/9) (c) (3/7, 1/3) (d) [3/7, 1/2)

Ans: (d)
f(x) = (x2 + 2x + 4)/(2x2 + 4x + 9)
⇒ f(x) = (x2 + 2x + 4)/[2(x2 + 2x + 4) + 1]
Let x2 + 2x + 4 = (x + 1)2 + 3 = k
The minimum value of k is 3.
Now, f(x) = k/(2k + 1)
So, the minimum value of f(x) = 3/(2×3 + 1) = 3/7
For the maximum value of f(x), as the value of k increases, the value in the denominator also increases, which decreases the value of f(x). Thus, the fraction approaches 1/2 but never equals 1/2.

Hence, the correct answer is [3/7,1/2).

Q4. If f(x) = – 4x + 9 and g(x) = 2x – 7, then f(g(x)) = ?

(a) 6x – 16 (b) – 8x + 37 (c) 2x – 16 (d) – 2x + 2

Ans: (b)

Here f(x) = – 4x + 9 and g(x) = 2x – 7

So, f(g(x)) = f(2x – 7) = – 4(2x – 7) + 9 = – 8x + 28 + 9 = – 8x + 37

Hence, the correct answer is (b) – 8x + 37.

CAT EXAM: Prerequisite to Problem-Solving Questions For Entrance Exam based on functions and graphs for CAT

CAT EXAM: References to Study (Theory):

  • Functions and Graph (Arihant Publication)

  • How to prepare Quantitative aptitude for CAT by Arun Sharma.

  • 2IIM CAT Preparation

CAT EXAM: References to Study (Practice):

  • The Pearson Guide to Verbal Ability and Reading Comprehension for CAT by Nishit Sinha (2020)

  • https://iim-cat-questions-answers.2iim.com

  • Previous Year's Question Papers

Part-B: CAT Logical Reasoning and Data Interpretation:

The topic covered for the day is given below: Students can refer to Linear Arrangement Part 1 for Day 16

Topic: Problem-Solving/ Puzzles (Linear Arrangement Part-2)

In this section, we will discuss the strategies to solve Puzzle questions for CAT exam based on the linear arrangement with the help of examples:

Type 1: Simple Linear Arrangement ( Puzzle questions for CAT exam)

Directions for Questions 1 to 4:

There are six friends (Andrew, Baithi, Charles, Duke, Elena, and Flora) seated in a row with numbered chairs from 1 to 6. They follow the following Seating Arrangement :

1. There are two places between Charles and Duke

2. There is one place between Andrew and Charles

3. There is one person between Flora and Elena

4. Elena is to be seated before Flora

5. Baithi is to be seated before Andrew, not necessarily immediately

6. The row does not start with Baithi

Q.1. The row would start with:

  1. Andrew

  2. Flora

  3. Duke

  4. Cannot be determined

Q.2. Elena will be seated on which seat number?

  1. 1

  2. 2

  3. 3

  4. Cannot be determined

Q.3. Who is seated at place number 6?

  1. Andrew

  2. Flora

  3. Duke

  4. Cannot be determined

Q.4. Baithi’s position is

  1. 6

  2. 5

  3. 3

  4. 2

The solution strategy for the above problem will be:

  1. While solving, use Initials for each Name, for example,

Write A for Andrew, B for Baithi etc.

  1. Mark the 6 places and fill them according to the given instructions.

1

2

3

4

5

6







Given statements are

There are two places between Charles and Duke

C _____ _____ D or D ______ ______C

There is one place between Andrew and Charles

A _____ C or C _______ A

There is one person between Flora and Elena, Elena is to be seated before Flora

E _______ F

Baithi is to be seated before Andrew, not necessarily immediately

The row does not start with Baithi

  1. Eliminate the wrong possibilities

  • Find the person in the first place.

  • From above, In the first place either A, C, D or E will come.

  • We cannot start with A since B should come before B. and B cannot be in the first place.

  • If we start with C

  • C ___ A D __ ___ (we cannot place E and F in this arrangement since E and F must have one person in between them)

  • If we start with D

  • D ___ ____ C __ A (we cannot place E and F in this arrangement since E and F must have one person in between them)
    After placing E, F and B according to the given condition
    D B E C F A

  • If we start with E

  • E ___ F ___ __ A (in this arrangement C must be just after F. So, we will not be able to place D. Therefore, this arrangement cannot be true)

  • The correct combination should be

1

2

3

4

5

6

D

B

E

C

F

A

Answer: 1 (c), 2 (c), 3 (a), 4 (d)

Type 2: When two arrangements are given

Directions: Study the following information to answer the given questions:

Twelve people are sitting in two parallel rows containing six people each, in such a way that there is an equal distance between adjacent persons.

In row – 1, A, B, C, D, E and F are seated and all of them are facing south.

In row – 2, P, Q, R, S, T and V are seated and all of them are facing north.

Additional information is also given as

  • Each member seated in a row faces another member of the other row.

  • V sits third to the right of S.

  • S faces F and F does not sit at any of the extreme ends of the line.

  • D sits third to the right of C. R faces C.

  • The one facing E sits third to the right of P.

  • B and P do not sit at the extreme ends of the line.

  • T is not an immediate neighbour of V and A is not an immediate neighbour of F.

  • P sits to the left of S.

Q.1. If B and E interchange their places, who amongst the following faces B?

(a) T (b) P (c) Q (d) R (e) None of these

Ans: (c)

Q.2. Which of the following pairs must be at extreme ends but are not facing each other?

(a) R, F (b) T, A (c) D, R (d) C, Q (e) S, A

Ans: (b)

Q.3. If all the 12 persons are members of a family. Females are facing their husbands. All females are sitting at alternate places. If A is the husband of V. Then who is the husband of P?

(a) B (b) A (c) C (d) F (e) D

Ans: (a)

Solutions with Strategies:

  1. Take two rows of six places. Consider the upper side of the paper as North and the downside as South.

1696411575934

  1. Place the six people above facing downward (South) and six people in other row facing towards the North.

V sits third to the right of S.

S



V

S faces F and F does not sit at any of the extreme ends of the line.

F




S



V

D sits third to the right of C. R faces C.

D



C




R


  • The one facing E sits third to the right of P, and P sits to the left of S. B and P do not sit at the extreme ends of the line, T is not an immediate neighbour of V and A is not an immediate neighbour of F.




E

P

S



Combining all the figures above

D

B

F

C

E

A

T

P

S

R

Q

V

CAT Exam: References to Study (Theory):

  • Verbal and Non-Verbal Reasoning by R S Agrawal

  • Cat preparation-iQuanta (YouTube Channel)

  • MBAP CAT EBook (Concept Theory)

CAT Exam: References to Study (Practice):

  • LRDI for CAT and GMAT by Nishit K Sinha. (Advance)

  • MBAP CAT EBook (Practice Questions).

  • Previous Year's Question Papers

Part-C: CAT Exam VARC

Topic: Strategies to prepare Conditionals

Conditionals and Rules, Tips to Prepare:
Conditionals are phrases used to explain the result of an event that might happen in the present or future or that could have happened in the past but didn’t.
Conditionals are divided into four parts:

  1. Zero Conditionals: sentence formed two present simple verbs (one in the 'if clause' and one in the 'main clause'):
    Rule: If + present simple, .... present simple.
    Trick: Used when the result will always happen.
    Examples:
    If people eat too much, they get fat.
    If you touch a fire, you get burned.
    If babies are hungry, they cry.

  2. First Conditional:
    Rule: If + Present Simple, (If Clause) ... will + infinitive (main clause)
    Trick: used to talk about things which might happen in the future.
    Examples:
    If it rains, I won't go to the park.
    If I study today, I'll go to the party tonight.
    If I see her, I'll tell her.

  3. The Second Conditional: Uses the past simple after if, then 'would' and the infinitive:
    Rule: if + past simple, ...would + infinitive
    Tricks: We can use 'were' instead of 'was' with 'I' and 'he/she/it. This is mostly done in formal writing. We can use it to talk about things in the future that are probably not going to be true. Maybe I'm imagining some dream for example. We can use it to talk about something in the present which is impossible because it's not true.
    Examples:
    If I won the lottery, I would buy a big house.
    If I met the Queen of England, I would say hello.
    She would pass the exam if she ever studied. (She never studies, so this won't happen)
    If I were you, I wouldn't go out with that man.

    How is this different from the first conditional?
    We can understand this with the following example:
    For example (second conditional): If I had enough money, I would buy a house with twenty bedrooms and a swimming pool (I'm probably not going to have this much money, it's just a dream, not very real)
    But (first conditional): If I have enough money, I'll buy some new shoes (It's much more likely that I'll have enough money to buy some shoes)

  4. The Third Conditional: Use past perfect after 'if' and then 'would have' and the past participle in the second part of the sentence:
    Rule: If + past perfect, ...would + have + past participle
    Trick: It represents the incidents in Past. It's used to describe a situation that didn't happen and to imagine the result of this situation.
    Examples:
    If she had studied, she would have passed the exam (but, really, we know she didn't study and so she didn't pass)
    If I hadn't eaten so much, I wouldn't have felt sick (but I did eat a lot, and so I did feel sick).
    If we had taken a taxi, we wouldn't have missed the plane.

Some Additional Tips:

  • Differentiate between the use of first (for particular situations) vs zero conditional (for general activities).

  • Differentiate between the use of first (for situations likely to happen in future) vs second conditional (for general activities that I don't think will really happen).

Practice Questions for CAT pdf on Conditionals [Based on CAT previous year papers]

Q1. What would you do differently if you _____ to do this again?

  1. have

  2. had

  3. would have

  4. None of these

Ans: (1) According to the third conditional.

Q2. The work _____ delayed if payment from the ministry don't credit on time.

  1. is

  2. will be

  3. would be

  4. None of these

Ans: (2); According to the first conditional.

Q3. When I watch TV for too long, I _____ a headache.

  1. get

  2. got

  3. would get

  4. None of these

Ans: (1); According to Zero Conditional

Prerequisite

  • Parts of Speech

  • Tenses.

CAT Exam: References to Study (Theory)

  • Word Power Made Easy.

  • CAT Edurav (YouTube Channel)

CAT Exam: References to Study (Practice)

  • Wren and Martin

  • Practice Sample Question Papers.

Practice and remain focused; Day 19 will be posted tomorrow.

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