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CAT Number System, HCF & LCM Questions, LR & DI | Day 6 Preparation for CAT 2025

CAT Number System, HCF & LCM Questions, LR & DI | Day 6 Preparation for CAT 2025

Edited By Irshad Anwar | Updated on Jun 18, 2025 05:20 PM IST | #CAT

HCF and LCM are key topics in the CAT Quantitative Ability section, forming a significant and frequently tested part of the Number System syllabus. These concepts require a thorough understanding, strategic practice, and quick problem-solving skills to excel. As part of the Day 6 preparation strategy for CAT 2025, this article focuses on effective methods and shortcuts to master HCF and LCM questions, helping aspirants strengthen their fundamentals, boost accuracy, and improve overall speed for a higher CAT score. Consistent practice and conceptual clarity in these areas can greatly enhance your performance in the exam.

CAT Number System, HCF & LCM Questions, LR & DI | Day 6 Preparation for CAT 2025
CAT Number System, HCF & LCM Questions, LR & DI | Day 6 Preparation for CAT 2025

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

CAT 2025: VARC, DILR, and Quant MCQs & Weightages
Comprehensive CAT prep guide with focused practice on Verbal Ability, Data Interpretation & Logical Reasoning, and Quantitative Aptitude.
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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)

HCF LCM Question Weightage for CAT Exam

The HCF and LCM topic consistently appears in the CAT exam, with around 2 questions each year from 2020 to 2024. Mastering these concepts is crucial for scoring well in the Quantitative Aptitude section and improving overall performance and CAT marks.

Year

Topic Name

Number of Questions

2020

HCF and LCM

2

2022

HCF and LCM

2

2023

HCF and LCM

2

2024

HCF and LCM

2

Short Tricks to Crack LCM HCF Questions for CAT 2025

LCM and HCF questions are quick to solve once you master a few smart tricks. These concepts are based on number properties and often appear in the CAT Quantitative Aptitude section. Use the shortcuts below to solve such questions faster and with greater accuracy.

1. Prime Factorisation Method

Trick:

Break numbers into their prime factors.

LCM = Product of the highest powers of all primes

HCF = Product of lowest powers of common primes

Example:

Find LCM and HCF of 12 and 18.

  • 12 = 2² × 3

  • 18 = 2 × 3²

  • LCM = 2² × 3² = 36

  • HCF = 2 × 3 = 6

2. Product Rule

Trick:

For two numbers:

LCM × HCF = Product of the numbers

Example:

Find LCM if HCF of 8 and 32 is 8.

Product = 8 × 32 = 256

LCM = 256 ÷ 8 = 32

3. Co-Prime Shortcut

Trick:

If two numbers are co-prime (HCF = 1),

LCM = Product of the numbers

Example:

Find LCM of 5 and 12

Since HCF(5,12) = 1 → LCM = 5 × 12 = 60

4. Euclidean Algorithm for HCF

Trick:

Use repeated division

HCF(a, b) = HCF(b, a % b)

Example:

Find the HCF of 48 and 18

48 % 18 = 12

18 % 12 = 6

12 % 6 = 0 → HCF = 6

5. HCF and LCM of Fractions

Trick:

HCF of fractions = HCF of numerators / LCM of denominators

LCM of fractions = LCM of numerators / HCF of denominators

Example:

Find HCF of 2/5 and 4/15

HCF(2, 4) = 2

LCM(5, 15) = 15

HCF = 2 / 15

6. Work Backwards Using Product Rule

Trick:

If LCM or HCF is given, use options and check if:

LCM × HCF = Product of numbers

Example:

If HCF = 4 and LCM = 60, find the pair.

Check options like (12, 20): 12 × 20 = 240;

LCM × HCF = 60 × 4 = 240

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.

Frequently Asked Questions (FAQs)

1. How important is the HCF and LCM topic for CAT 2025?

HCF and LCM consistently appear in CAT with 2 questions yearly. Mastering this topic helps solve problems quickly, boosting your score in the Quantitative Aptitude section.

2. What are the best methods to solve HCF and LCM questions efficiently?

Use prime factorisation, the product rule (LCM × HCF = product), and the Euclidean algorithm for quick calculations. Practice regularly to improve speed and accuracy.

3. How many questions on average are asked about HCF and LCM in CAT exams?

On average, CAT features 2 questions from HCF and LCM each year, making it a reliable scoring topic for candidates who prepare well.

4. Can HCF and LCM questions be tricky, or are they mostly straightforward?

Most HCF and LCM questions are simple but can be combined with other concepts like ratios or time-speed-distance, requiring careful analysis and practice.

5. How can I practice HCF and LCM questions effectively for CAT?

Solve previous years’ questions, use online quizzes, and apply shortcuts regularly. Focus on understanding concepts deeply and practising mixed problem sets for better performance.

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Questions related to CAT

Have a question related to CAT ?

Hello Sahitya

For FMS Delhi, your percentile should be 99%+ and it should be 99.5%+ to be on the safer side.

Now coming to the academics:
1. 10th marks: 75%+ are given 10 out of 10
2. 12th marks: 75%+ are given 10 out of 10
3. Graduation marks: FMS doesn't considers graduation marks for screening.

So if you have 75%+ in both 10th and 12th, you will get full marks in academic score.

To know more about FMS: FMS

Hope this answer helps! Thank You!!!

Hello Ayush

This is definitely a myth that with 0 work-ex you can't get IIM ABC because freshers still get into them although the competition is brutal but if you have good academics (9/9/9) and a good CAT (99.5%+), you have a chance.

These are some other good colleges except IIM ABC which you can aim for:

TIER 1:

  1. IIM Lucknow
  2. IIM Kozhikode
  3. IIM Indore
  4. IIM Shillong
  5. FMS Delhi
  6. SPJIMR Mumbai
  7. MDI Gurgaon
  8. IIFT Delhi & Kolkata

Tier 2:

  1. NMIMS Mumbai
  2. SIBM Pune
  3. SCMHRD Pune
  4. IMT Ghaziabad
  5. XIM Bhubaneshwar
  6. GIM Goa
  7. TISS Mumbai

To know more about CAT: CAT by Careers360

Hope this answer helps! Thank You!!!

Hello Aspirant,

With an AIR (All India Rank) of 1,60,000 in NEET and in the OC (Open Category) there is a very slim chance of getting an MBBS seat in a government medical college, especially in General Category seats through All India Quota (AIQ), but here are some options:

  1. MBBS in Private Colleges: You could get a seat in a private medical college through the state quota, especially in Tier 2/3 states where the cutoffs are relatively lower. The fee would be high compared to government colleges.
  2. BDS Seats: You have fair chances for BDS in both government & private dental colleges under the state quota.
  3. Deemed Universities: Some deemed universities may offer MBBS seats at this rank but the fee is exorbitantly high (15 to 25 lakhs/year).
  4. Management/NRI Quota: If you can afford, you can explore MBBS through management/NRI quota seats in private colleges.
  5. Alternatives: You can think of allied health science courses such as BAMS, BHMS, B.Sc Nursing etc., which also have good career scope.

You can also participate in state counselling rounds, as sometimes, seats remain vacant/unfilled, including mop-up rounds.

Hello aspirant,

The question papers for CAT MGU University can be found on their official website, or you can also visit careers360 website for the same.

The link of which, I am attaching here,

https://university.careers360.com/articles/mgu-cat-2025

Regards

Hello Anshuman!!!
You have gotten 86% in 10th, which is a good score. 70% in graduation is not the best but decent. But the main problem is your 12th score which is 62%.

You would be already aware that the Top IIMs (BLACKI) give a big emphasis on your academic score. Let me tell you one example of IIM Ahmedabad,
According to a research i read a few days ago, in IIM Ahmedabad, 70.8% of students has 90+ percent in 12th, 25.8% has 80-90 percent and around 3.8% has less than 80% with the bracket of 60-69 having only 0.26% students of the total batch. Nearly same is the case of the other top IIMs like IIM Bangalore, IIM Calcutta, IIM Lucknow, IIM Kozhikode and IIM Indore.

Statistically, getting into these TOP IIMs is possible with 62% in 12th is possible (0.26% has done it) but practically you cannot get into these TOP IIMs unless you top the CAT exam.

See, I don't wish to dishearten or demotivate you but I wish to tell you the truth. Although the probability of you getting into these TOP IIMs is very less, but trying is better than doing nothing. You have a good score in 10th which will certainly help you. The least you could do is try your best.

My advice would be that you should not focus on these things like "Will I get top IIM" or negative talk like " I got low marks I won't qualify" etc. The main focus should be on your preparation. Give 100% in your preparation because that's the only thing in your hand. You can't change your 10th/12th/Graduation scores but you can put some more effort in your preparation which would certainly help to get better percentile.

Keep working hard and give your best. You might surprise yourself!!! And if not BLACKI, there are many other good colleges like FMS, MDI, newer IIMs etc.


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 


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