CAT Number System, HCF & LCM Questions, LR & DI| Day 6

CAT Number System, HCF & LCM Questions, LR & DI| Day 6

Edited By Irshad Anwar | Updated on Sep 20, 2024 01:26 PM IST | #CAT

In previous article 5, we discussed the strategy on how to prepare the Factors and Trailing zeroes, table (DI), conjunction and interjection - Day 5 of CAT preparation on the basis of the CAT syllabus. We have covered a major part of the number system questions for CAT under the CAT syllabus which includes HCF and LCM questions for CAT. The remaining number system topics for CAT will be covered in the upcoming articles. HCF and LCM CAT questions are also considered a good major chunk of CAT quants section which the students should revise. We are back with the strategic plan for Day 6 to propel our preparation to crack CAT-2024. In this article, we will be discussing strategy for the following topics along with CAT number system questions based on HCF and LCM questions for CAT. The topics in number system for CAT are very vast and need constant practice.

CAT Number System, HCF & LCM Questions, LR & DI| Day 6
CAT Number System, HCF & LCM Questions, LR & DI| Day 6

Part-1: Quantitative Aptitude for CAT 2024

Topic: Number System questions for CAT (HCF and LCM CAT questions) Highest Common Factor (HCF and LCM / GCD):

HCF is the highest common divisor which divides two (or more) numbers completely.

For Example,

12 is HCF of 36 and 48.

17 is HCF of 340 and 357

3 x 22 is LCM of (3x 24 and 33 x 22)

The most common ways of finding HCF are

Prime Factorization Method:

Eg: To find HCF of 27 and 36

27 = 33

36 = 22 x 32

HCF = 32

Division Method:

Eg: To find HCF of 27 and 36

Divide 36 by 27; the remainder is 9

Divide 27 by 9; the remainder is 0.

(This process is repeated till the remainder is 0)

Least Common Multiple (LCM):

The least value which is divisible by two or more values completely, is LCM.

For Example:

72 is LCM of 8 and 9.

2184 is LCM of 8, 13 and 21.

33 x 24 is LCM of (3x 24 and 33 x 22)

The most common way of finding LCM is

Prime Factorization Method:

Eg: To find LCM of 27 and 36

27 = 33

36 = 22 x 32

LCM = 22 x 33

HCF and LCM questions, CAT Number System Questions From CAT Previous Year Papers/ HCF and LCM questions for CAT exam

The two previous year CAT questions on number system (HCF and LCM)are given below:

Q1. How many pairs of positive integers x, y exist such that HCF of x, y = 18 and product of x and y = 1620? [ CAT Question Paper]

  1. 2

  2. 8

  3. 1

  4. 3

Solution: C

Let the two numbers be 18a and 18b where a and b are co-prime numbers.

Also, 18a x 18b = 1620

So, a x b = 1620/ (18 x 18) = 5

Therefore, (a, b) = (1, 5); the only possible pair in a and b.

Q2. A red light flashes three times per minute and a green light flashes five times in 2 min at regular intervals. If both lights start flashing at the same time, how many times do they flash together in each hour? [CAT Question Paper ]

  1. 30

  2. 24

  3. 20

  4. 60

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Solution: A

Red light flashes after every 60/3=20 sec

Green light flashes after every 120/5=24 sec

Both lights will flash together if the multiples of flushing times are common

i.e. LCM (20,24) =120 sec = 2min

Thus, both lights will flash together at intervals of 120 sec= 2 minute

In 1 hour, both lights flash together 60/2 = 30 times.

Prerequisite:

To prepare for the number system for CAT exam, students must have knowledge of:

  • Prime, composite, and Co-primes

  • Factors

  • Multiples

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Tips On CAT Preparation For Number System (HCF and LCM ):

  • The smallest number which when divided by a, b and c leaves a remainder R in each case then the number will be (L.C.M of a, b, c) + R.

  • The greatest number which divides a, b and c to leave the remainder R is H.C.F of (a – R), (b – R) and (c – R)

  • The greatest number which divide x, y, z to leave remainders a, b, c respectively is

  • H.C.F of (x – a), (y – b) and (z – c)

  • LCM of (a/b, c/d, e/f) = LCM (a, c, e)/ HCF (b, d, f)

  • HCF of (a/b, c/d, e/f) = HCF (a, c, e)/ LCM (b, d, f)

  • Practise different kinds of problems.

  • HCF of a and b × LCM of a and b = a × b

  • Apply the concepts to practise HCF and LCM questions.

  • Practise previous year CAT questions on number systems and LCM and HCF problems.

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References to Study (Theory):

  • Learn the concept of HCF and LCM from class 10 Mathematics NCERT (For Theory)

  • Arun Sharma: A Quantitative Approach for CAT (6th Edition)

  • 2iim Online Learning Classroom

References to Study (Practice):

  • MASTER Number System for CAT and GMAT by Nishit K Sinha.

  • Sample Papers

  • CAT previous year papers

Part-2: Logical Reasoning and Data Interpretation

Topic: Data Interpretation (Spider/ Radar Graph)

In previous articles-Day 5, strategies for DI based on Bar graph, Pie chart, Table graph and Line graph have been discussed. A different kind of DI on spiders will be discussed in this article for the CAT exam. Data interpretation is a must-come topic in the CAT Exam and other management entrance exams.

DI on Spider (Radar) Graph

It consists of equiangular spokes and each spoke represents one variable. These charts contain 0 at its centre.

1695127996344

This is a spider chart for 5 variables.

A=70

B=58

C=5

D=15

E=25

Blue line shows the value of a commodity on 5 different parameters.

Questions Based On Spider Graph From CAT Previous Year Papers

Five vendors are being considered for a service. The evaluation committee evaluated each vendor on six aspects – Cost, Customer Service, Features, Quality, Reach, and Reliability.

Each of these evaluations are on a scale of 0 (worst) to 100 (perfect). The evaluation scores on these aspects are shown in the radar chart. For example, Vendor 1 obtains a score of 52 on Reliability, Vendor 2 obtains a score of 45 on Features and Vendor 3 obtains a score of 90 on Cost. [CAT Question Paper 2019- slot 1]

1695127996804

Q1. On which aspect is the median score of the five vendors the least?

  1. Customer Service

  2. Cost

  3. Reliability

  4. Quality

Ans: (1)

The median is the mid-value. For all six parameters median is as follows:

Reliability=52-53

Reach=65

Quality=62

Features=55

Customer Service = 50 (least)

Cost =75

Q2. A vendor's final score is the average of their scores on all six aspects. Which vendor has the highest final score?

  1. Vendor 1

  2. Vendor 2

  3. Vendor 3

  4. Vendor 4

Ans: (2)

Total Score of Vendors:

Vendor 1 = (52+ 80+ 73+ 40 + 55 + 75) = 375

Vendor 2 = (40+ 58+ 70+ 45 + 42 + 80) = 335

Vendor 3 = (75+ 66+ 60+ 50+ 55+ 90) = 396

Vendor 4 = (25+ 45+ 40+ 90+ 70+ 70) = 340

Vendor 3 has the highest total and hence the highest average.

Q3. A list of all the vendors who are among the top three vendors on all six aspects is?

  1. None of the Vendors

  2. Vendor 1

  3. Vendor 3

  4. Vendor 1 and Vendor 3

Ans: (3)

Vendors in top 3 in each aspect:

Reliability = Vendor 3, Vendor 5 and Vendor 1

Reach = Vendor 1, Vendor 5, Vendor 3

Quality = Vendor 1, Vendor 2, Vendor 3

Features= Vendor 4, Vendor 5, Vendor 3

Customer Service = Vendor 4, Vendor 1, Vendor 3

Cost = Vendor 3, Vendor 2, Vendor 1

Clearly only vendor 3 appears in all the three.

Prerequisite:

To Prepare Data Interpretation (Spider graph) for the CAT 2024, a student must learn:

  • Percentage (Basic)

  • Simplification and approximation

  • Mean, Mode and Median

  • Observational Skills

References to Study (Theory):

  • LRDI for CAT and GMAT by Nishit K Sinha.

  • Crack XAT YouTube Channel

References to Study (Practice):

  • https://online.2iim.com

  • How to Prepare for Data Interpretation for CAT by Arun Sharma

  • CAT previous year papers

Part-3: VARCTopic: Articles And Its Uses

Article is one of the parts of speech in English grammar which is used to modify the Noun entities.

Indefinite Articles (A and An): Used with singular nouns only.

Examples:

  • An honest man.

  • A tall man.

  • Tomorrow a man will come to see you.

  • Definite Article (The): Refers to specific nouns and can be used with both singular and plural nouns.

  • Examples:

  • The man on dice is my ideal.

  • The Bible.

Practice Questions On Articles

Direction: Choose the correct article

Q.1 Who is _________ of England now.

  1. the prime minister

  2. a prime minister

Ans: A

Q2. There is _________ restaurant near my house.

  1. a nice

  2. nice

  3. Ans: A

Q3. My grandparents live in _____________ of the city

  1. south

  2. the south

Ans: B

Q4. Is this _____________ Australian breed?

  1. a

  2. an

Ans: B

Prerequisite:

  • Knowledge of Verbal sound.

  • Knowledge of Noun (singular and Plural)

CAT Preparation Tips To Prepare Articles And Its Uses

  • Articles do not use uncountable nouns.

  • Learn the specific cases where articles should not be used

Ex: Let’s go out for dinner tonight. (Incorrect)

Let’s go out for dinner tonight. (Correct)

  • Articles should not be used with pronouns.

  • Use no Article before names of sports, subjects, nationalities, and languages.

  • Develop reading habits.

  • Practice more and more exercises.

References to Study (Theory):

  • Advanced English grammar by Wren and Martin (Oxford)

  • engvid.com (YouTube channel as well as Web)

References to Study (Practice):

  • Questions bank from iquanta.com

  • Oxford Practice Grammar (sixth edition)

  • How to Prepare for Verbal Ability & Reading Comprehension for CAT by Meenakshi Upadhyay and Arun Sharma (9th Edition)

We will be back with Day-7 strategy tomorrow at the same time. keep practising and be focused. Students can practice number system mock test for CAT and can also practice DILR and VARC alongside as well.

Thank You

All the best.

Articles

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Questions related to CAT

Have a question related to CAT ?

The student cannot join the postgraduate MA program directly in the second year of the MA after completing the MBA.


Universities generally expect students to begin the first year of a masters' program even though they had qualifications at the level of a bachelor's degree. The university's curriculum along with the courses are planned to give an in-depth knowledge of the subjects.


But you could opt for:


Postgraduate Studies:


Research Career: In case research interests you, then you can pursue a Ph.D. in your specific interest.

Specialized Master's Programs: Find any specific master's course that supports the career goal.

Professional Certifications:


Make a professional certification in CFA, CA, or FRM to enhance the professional skills and better opportunities in the career field.

Job Entry via MBA

After gaining an MBA from a renowned institution, it's possible to get entry into the corporate world where the diversity in the career field is assured.

In the end, it would depend on what you would like and what you are particularly interested in. It will be better if you take a suggestion from your academic advisor or career counselor.

Hello Pratik,

If your family income exceeds 8 LPA, it will affect your eligibility for the NC-OBC category under the CAT reservation rules. The NC-OBC category requires that the family income should be below 8 LPA to qualify. If you anticipate that your income will exceed this threshold, you should update your status and notify the CAT authorities .

Here's what you can do:

  1. Email the CAT authorities : Inform them about the potential change in your income status and request to be considered under the General category, if applicable. You should do this before the examination or any further processing, as your eligibility for the OBC category depends on the income criteria.

  2. Documents and Proof : Make sure you have a valid OBC certificate and any relevant documentation regarding your family income, in case they require verification. Also, be aware that if your income exceeds 8 LPA, you might need to apply under the General category, as the OBC-NC reservation is no longer applicable.

  3. General Category Consideration : If your application is accepted as General, you will be evaluated based on the General category criteria, including cutoffs and ranking.

To summarize, notifying the CAT authorities is the correct approach to avoid discrepancies later, and if your income is above the threshold, you will be treated as a General candidate for the admissions process.



For more details about CAT exam you can check out an article by Careers360 whose link is given below:

Link: https://bschool.careers360.com/exams/cat


I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.

Thank you and wishing you all the best for your bright future.


Hi Shreya ,

Having a tattoo on your wrist should not  create a problem during the CAT exam as long as it does not contain any content that violates exam rules , such as communication-related symbols , unauthorised messages or any text resembling formulas or answers .

For a safe side , it is recommended :

1. Inform the Invigilators : Let them know about your tattoo during the identification check , so there are no misunderstandings .

2. Follow the Guidelines : Ensure you follow all instructions regarding permissible items and dress code on the exam day .

Hope this helps you .

ALL THE BEST .



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Hello,

Yes, you can also join IIMs two years after graduation, depending upon the justification in interviews and your performance in entrance exams. If you are not sure about CAT, try those other management exams less hard:

Common Management Admission Test: Easier than CAT; 4-5 months of continuous preparation will suffice.

MAT : Much easier and takes place thrice a year.

SNAP (Symbiosis National Aptitude Test): A bit easier than CAT, apt for Symbiosis Institutes.

Xavier Aptitude Test or XAT : Hence, easier than CAT but the unique decision-making section.

Use exams like CMAT and MAT as a challenge to be competitively prepared. This can be given about 4-5 months, along with a few rounds of mock tests and smart studying.

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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 


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