Cracking CAT 2025: Your Guide to Understanding Factors, Tables, Conjunctions, and Interjections - Day 5

Cracking CAT 2025: Your Guide to Understanding Factors, Tables, Conjunctions, and Interjections - Day 5

Edited By Team Careers360 | Updated on Jun 18, 2025 07:14 PM IST | #CAT

With CAT 2025 likely scheduled for 30th November, strategic preparation is crucial. On Day 37 of the Careers360 60-day plan, the spotlight is on mastering Permutation and Combination—an area that often troubles aspirants due to its complexity. This guide not only breaks down tough concepts with solved examples and PYQs related to Permutation and Combination. It also includes insights into Syllogism and VARC comparison questions to strengthen your overall problem-solving and verbal reasoning skills.

This Story also Contains
  1. Part-1: Quantitative Aptitude for CAT 2025
  2. Previous Year CAT questions on number system
  3. Part-2: Data Interpretation And Logical Reasoning For CAT 2025
  4. Part-3: VARC for CAT 2025
  5. Tips and Tricks to Solve Factor and Table Questions
  6. Free PDFs for CAT Preparation 2025
Cracking CAT 2025: Your Guide to Understanding Factors, Tables, Conjunctions, and Interjections - Day 5
Cracking CAT 2025: Your Guide to Understanding Factors, Tables, Conjunctions, and Interjections - Day 5

Part-1: Quantitative Aptitude for CAT 2025

Topic: CAT Number System-4 (Factors and Trailing Zeroes)

Factors

CAT number system questions based on factors are regularly asked in the CAT exam and other MBA entrance examinations.

Questions about factors are of the form of

  • To find the number of all factors

  • To find the number of even factors

  • To find the number of odd factors

  • To find the number of factors of multiple of some value (Value will be given)

  • To find the number of factors which are perfect squares/perfect cubes etc

  • To find the number of Co-prime factors

  • To find the sum of factors

  • To find products of all factors etc.

  • Number of ways of writing a number N as a product of two numbers?

Important Formula for CAT number system questions

Number of factors:

Do Prime factorization first

N = pa × pb × rc × … where p, q, r are prime numbers; a, b, c are positive integers

The number of factors of N= (a+1)(b+1)(c+1)…

Sum of factors

Do prime factorisation first.

N = pa × qb × rc × … where p, q, r are prime numbers; a, b, c are positive integers

Sum of factors = (pa+1-1/p-1) (qb+1-1/q-1) (rc+1-1/r-1)

Trailing Zeroes and Exponent of a prime number:

Trailing zeroes give the number of zeroes at the end of the number.

For example, 54600 has two trailing zeroes.

In a product, a pair of 2 and 5 forms one trailing zero. This concept is used to find the number of trailing zeroes.

From this topic following types of questions were asked:

  • Find the trailing zeroes in 54! etc

  • Find the trailing zeroes in x3b x5c etc

  • Find the highest power of 7 in 200! etc

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Previous Year CAT questions on number system

The two previous year CAT questions as per the number system CAT Syllabus are given below:

Q1. How many factors of 24 × 35 × 104 are perfect squares which are greater than 1? [TITA- CAT Question Paper 2019]

Solution:

N = 24 × 35 × 104 = 24 × 35 × 24 x 54 = 28 × 35 × 54

Perfect square factors will be formed only for even (including 0) powers of prime factors.

Powers of 2 for which perfect square factors will be found for = 0, 2, 4, 6, 8 (5 ways)

Powers of 3 for which perfect square factors will be found for = 0, 2, 4 (3 ways)

Powers of 5 for which perfect square factors will be found for = 0, 2, 4 (3 ways)

Total number of perfect square factors will be = 5 x 3 x 3 = 45

Total number of perfect square factors greater than 1 will be = 45 – 1= 44

So, the answer is 44.

Q2. What is the highest power of 12 that divides 54!

[Based On CAT Question Paper ]

  1. 25

  2. 26

  3. 30

  4. 4

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Solution: A

12 = 22 x3, so we need to count the highest power of 2 and highest power of 3 that will divide 54!

The highest power of 2 divides 54! = [54/2] + [54/4] + [54/8] + [ 54/16] + [54/32]

= 27 + 13 + 6 + 3 + 1 = 50, where [x] ? greatest integer function.

Highest powers of 4 that divides 54! = 50/2 = 25

Highest power of 3 that divides 54! = [54/3] + [54/9] + [54/27] = 18 + 6 + 2 = 26, where [x] ? greatest integer function.

So, the highest power of 12 that divides 54! = min (25, 26) = 25.

Prerequisite:

To prepare for the number system for CAT exam according to the number system CAT syllabus, a student must have knowledge of

  • Prime, Composite and Co-primes

  • Even and Odd numbers

  • Sum of Geometric Progression

  • Exponents

  • Factorials

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Tips On CAT Preparation For Number System (Factors and Trailing Zeroes)

  1. Find the number of 5s to find the trailing zeroes is n! as the number of 2s is always greater than the number of 5s.
    Eg: number of trailing zeros in 100! = [100/5] + [100/25] = 20 + 4 =24 where, [x] is the greatest integer function.
    So, we can write the number of trailing zeroes in n! = [n/5] + [n/25] + [n/125] + ……….

  2. Product of all factors of N = N (no of factors/2)

  3. To find the even factors, divide the given number by 2 and find the number of total factors of the quotient.

  4. Apply the concepts to practice Number System questions.

  5. Practice previous year CAT questions on number system

References to Study (Theory):

  1. 1. Learn the concept of factors and Multiples from class 9 Mathematics NCERT (For Theory)

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

  3. Kailasha Online Learning Classroom

References to Study (Practice):

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

  2. Sample Papers

  3. CAT previous year papers

Part-2: Data Interpretation And Logical Reasoning For CAT 2025

Topic: Data Interpretation (Table)

In previous articles, we have covered DI based on Bar graphs, Pie charts and Line graphs. In this article, we will deal with data represented in the form of a table for the CAT exam. Data interpretation is a must-come topic in the CAT Exam and other management entrance exams.

DI on Table Chart

In this section, we will discuss the basics of a table chart. The boxes of the table consist of different types of information such as the population of a town, marks of a student, expenses of a company, production data of any industry etc. Table Chart questions are extremely important and have a good weightage as well. Many students sometimes find it difficult to solve these types of questions. Therefore, its recommended for students to practice these questions rigorously.

Sample:

Average marks of students of class 10 of different schools of a city are represented subject wise as shown in table:


Maths

Science

English

Social Science

Hindi

St. Marry

81

81

81

81

81

Elite

78

78

78

78

78

Romex

64

64

64

64

64

DPS

91

91

91

91

91

Questions On the Line Graph From CAT Previous Year Papers

Answer the questions on the basis of the information given below. A study was conducted to ascertain the relative importance that employees in five different countries being assigned to five different traits in their Chief Executive Officers. The traits were compassion (C), decisiveness (D), negotiation skills (N), public visibility (P), and vision (V). The level of dissimilarity between two countries is the maximum difference in the ranks allotted by the two countries to any of the five traits. The following table indicates the rank order of the five traits for each country. [ CAT Question Paper 2015]

1694515087946

Q1. Which of the following pairs of countries are most dissimilar?

  1. China and Japan

  1. India and China

  1. Malaysia and Japan

  1. Thailand and Japan

Ans: (4)

Difference in ranks skills-wise is shown as below:


C

N

D

V

P

China and Japan

3-2 =1

2-1 =1

4-1 =3

5-4 =1

5-3= 2

India and China

2-1= 1

3-1 =2

5-4 = 1

5-4 = 1

3-2 =1

Malaysia and Japan

4-3 =1

5-2 =3

2-1= 1

4-1 = 3

5- 3 =2

Thailand and Japan

3-2 =1

3-2 =1

5-1 =4

4-1 =3

5-4=1

Thailand and Japan should be the answer since these countries show the maximum difference in ranks (i.e., 4) on the basis of decisiveness.

No other countries show a difference of 4.

Q2. Which of the following countries is least dissimilar to India?

  1. China

  2. Japan

  3. Malaysia

  4. Thailand

Ans: (1)

Difference between the ranks on the basis of given traits of other countries with India is calculated.

Traits

China

Japan

Malaysia

Thailand

C

2-1=1

5-1=4

4-1=3

2-1=1

P

3-2=1



4-2=2

N

3-1=2



3-3=0

V

5-4=1



4-2=2

D

5-4=1



5-5=0

India and China show a maximum difference of 2 for 1 time.

India and Japan show a difference of greater than 2 (Compassion), so it cannot be least dissimilar and we need not to calculate differences for other traits.

Similar is the case with Malaysia.

With Thailand, the difference of 2 appeared twice. Therefore it can not be least dissimilar. The answer is China.

Q3. Which amongst the following countries is most dissimilar to India?

  1. China

  2. Japan

  3. Malaysia

  4. Thailand

Solution: (2)

since China is the least dissimilar, as discussed in the previous question. So, China cannot be the answer, and we will not find the differences for China in this case.

Traits

Japan

Malaysia

Thailand

C

5-1=4

4-1=3

2-1=1

P

5-2 =3

3-2=1

4-2=2

N

3-2=1

5-3=2

3-3=0

V

4-4=0

4-1=3

4-2=2

D

3-1=2

5-2=3

5-5=0

Clearly, Japan shows the maximum difference in ranks, So Japan is most dissimilar in ranks with India

Prerequisite:

To prepare Data Interpretation (Line Graph) for the CAT exam, a student must learn

  • Percentage (Basic)

  • Averages

  • Calculations based on ratios

  • Approximation

Tips On CAT Preparation For DI (Table Chart):

  1. Use Approximation.

  2. Observe the data carefully.

  3. Solve small calculations mentally.

References to Study (Theory):

  1. LRDI for CAT and GMAT by Nishit K Sinha.

  2. To learn the basics of bar graph read statistics of class 9 and Class 10 Mathematics from NCERT (For Theory)

  3. Kailasha Online Learning Classroom YouTube Channel

References to Study (Practice):

1. Sample Papers

2. Question bank from CAT-Holic

3. How to Prepare for Data Interpretation for CAT by Arun Sharma

4. CAT previous year papers

Part-3: VARC for CAT 2025

Topic: Conjunction and Interjection and its uses:

Conjunctions are used to connect more than two words or phrases. It defines the connection between the joined sentences.

Examples:

He likes to eat both Noodles and Pizza.

The tulips and orchids are flowers.

Until next month, I can’t afford to travel.

Conjunctions are useful as well as convenient. Conjunctions are extremely common.

There are three types of English conjunctions:

Coordinating: for, not, yet, so etc

Subordinating: Although, though, while, if, until etc.

Correlative: Neither/ Nor, Whether/ Or, Either/ Or etc.

Interjections are used to express emotions in a sentence. Also, interjections are grammatically independent of the words around them.

Examples:

Greeting: Hey! After such a long time, I am seeing you.

Joy: Oh my gosh! What is happening there?

Surprise: Ah! Finally you clear your CAT Exam!

Approval: Yes! you are hired!

Attention: Listen, you are fired.

Sorrow: Oh dear, I really wanted to marry you.

Questions On Conjunction and Interjection from CAT Previous Year Papers/ CAT practice questions on conjunctions

Direction: Choose the part which requires correction. [Based on Previous Years Questions]

Q.1 As soon as (1) / he got the (2) / courier, at once (3) / he started. (4) / No Error (5)

  1. (1)

  1. (2)

  1. (3)

  1. (4)

Ans: C

The conjunction 'as soon as is used to show two simultaneous actions. So, in the third part, the use of ‘at once’ is incorrect

Q2. I will either (1) / go for an interview (2) / else play (3) / Cricket. (4) / No Error (5)

  1. 1

  1. 2

  1. 3

  1. 4

  1. 5

Ans: C

With “Either’, ‘Or’ comes.

So, (3) contains error. ‘else’ should be replace by ‘or’.

Q3. Be kind (1)/ not only in words (2) / and also (3) / in behavior. (4) / No Error (5)

  1. 1

  1. 2

  1. 3

  1. 4

  1. 5

Ans: C

The correct conjunction to be used is ‘but’ in place of ‘and’.

Prerequisite:

  • Knowledge of sentence formation

  • Basic Knowledge of Sentence Formation

  • Use of Nouns, Pronouns and Verbs.

CAT Preparation Tips for Verbal Ability (Conjunction and Interjection)

Use of the comma when a coordinating conjunction is joining two independent clauses.

When a conjunction joins two words in a sentence, then the sentence cannot be separated in two independent sentences.

Learn all the conjunctions and their uses separately with the help of examples.

References to Study (Theory):

  1. Advanced English grammar by Wren and Martin

  1. 2iim YouTube Channel

References to Study (Practice):

  1. Question Bank from iquanta.com

  1. CAT previous year papers

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

Tips and Tricks to Solve Factor and Table Questions

Mastering factors and multiplication tables is essential for quick and accurate math problem-solving. With the right strategies, identifying factors and solving table-based questions becomes easier. Practice, recognition of patterns, and smart shortcuts significantly improve speed and confidence in exams.

Tip 1: Learn Tables Up to 20 Thoroughly

Example: To solve 14 × 7 quickly, recall the table of 14: 14, 28, 42, 56, 70, 84, 98.

Memorising multiplication tables up to 20 boosts your ability to solve problems swiftly. Knowing answers instantly reduces the time needed for calculations and supports better factor recognition. Use songs, flashcards, or apps to reinforce memory.

Tip 2: Use Factor Pairs

Example: Factors of 36: (1,36), (2,18), (3,12), (4,9), (6,6)

Writing numbers as factor pairs helps in identifying all possible factors efficiently. Start with 1 and go up to the square root of the number. For 36, check from 1 to 6; each valid division gives a complete pair.

Tip 3: Apply Divisibility Rules

Example: 72 is divisible by 3 because 7 + 2 = 9 (which is divisible by 3).

Divisibility rules help identify factors quickly without full division. Learn rules for 2, 3, 5, 6, 9, and 10. These rules simplify spotting common factors and validating whether one number is a factor of another.

Tip 4: Break Numbers into Prime Factors

Example: 60 = 2 × 2 × 3 × 5

Prime factorisation breaks a number down into its simplest building blocks. This is especially helpful in finding LCM, HCF, or solving word problems. Use factor trees or the division method for clarity and systematic calculation.

Tip 5: Use Multiples to Identify Common Factors

Example: Multiples of 6: 6, 12, 18, 24...; Multiples of 8: 8, 16, 24... ⇒ Common multiple: 24

Listing multiples can identify the least common multiple (LCM) or help in comparing tables. It’s useful when solving time-based or event problems where something repeats at different intervals.

Tip 6: Recognise Square and Cube Numbers

Example: 49 is 7²; 27 is 3³

Recognising square and cube numbers helps quickly determine factors and simplify root-based problems. Memorise squares up to 30 and cubes up to 12 to improve speed and pattern recognition in exams and mental math tasks.

We will be back with Day-6 strategy. Do practice and be focused.

Thank You

All the best.

Free PDFs for CAT Preparation 2025

CAT 2023 Official Question Paper and Answer Key (Slot 1)

Click here to download

CAT 2023 Official Question Paper and Answer Key (Slot 3)

Click here to download


Frequently Asked Questions (FAQs)

1. When will CAT 2025 be conducted?

CAT 2025 is likely to be held in November 2025, tentatively on the last Sunday of the month.

2. Which IIM will conduct CAT 2025?

CAT is organized by one of the IIMs on a rotational basis every year. The organizing IIM for CAT 2025 will be mentioned in the official notification released likely in July 2025. Though the pattern and structure of the exam remain unchanged, the question pattern and difficulty level could be slightly different based on the organizing IIM.

3. Will CAT 2025 be tough?

CAT is a very competitive exam, and the level of difficulty changes every year. Quantitative Aptitude and LRDI are usually moderate to tough, but VARC may be tricky as it involves reading comprehension complexity. But as CAT is a percentile-based test, your ranking depends on how you perform in relation to other candidates.

4. How should I start preparing for CAT 2025?

Begin with the knowledge of exam pattern, going through previous year papers, and making a systematic study plan. Prioritize conceptual clarity and then proceed to mock tests and sectional practice. A constant analysis of mock tests will enable you to realize your weaknesses and enhance your speed and accuracy.

5. Are previous year CAT papers enough for preparation?

Past year papers are needed to grasp the pattern of the exam and the types of frequently asked questions, but they alone are not sufficient. Practice mock tests, sectional tests, and topic-wise questions to enhance speed, accuracy, and problem-solving abilities as well. As CAT questions don't repeat word by word, candidates need to focus on concepts instead of memorization.

6. Why are factors and tables important for CAT 2025 preparation?

Factors and multiplication tables form the foundation of arithmetic problem-solving. CAT Quantitative Aptitude questions often require quick calculations and number sense. 

7. What is the best way to memorise multiplication tables efficiently?

Use repetition techniques like writing and chanting tables daily. Break them into patterns (e.g., even numbers for 2’s table) or use apps and flashcards. Learning through rhymes or visual charts can also help retain tables up to 20 quickly and effectively.

8. How do conjunctions and interjections help in CAT’s VARC section?

Conjunctions help understand the logical flow of ideas in reading comprehension and para jumbles. Interjections, though less common, aid in identifying tone or intent in sentence correction or fill-in-the-blanks.

9. What are the common mistakes students make while solving factor-based questions?

Students often miss out on factor pairs or forget to check for divisibility. Another mistake is assuming primes or not verifying all factors up to the square root. 

10. How should I practice these topics effectively on Day 5?

Dedicate time to revising multiplication tables, solve at least 20 factor-based questions, and review basic grammar rules related to conjunctions and interjections. 

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Questions related to CAT

Have a question related to CAT ?

Hello Ashish,

Yes, you can get admission to MBA programs at IISWBM without a CAT score, but only for certain courses. Note that IISWBM has MBA programs under the University of Calcutta and flagship courses like MBA (Day) or MBA-HRM typically require a CAT score. Other programs like the PGDM or Executive MBA/Course may have other entrance examinations on which consideration would be made, or considerations may be based on merit, and of course work experience. Always run any eligibility detail checks with the official IISWBM (https://www.iiswbm.edu/) website or The IISWBM prospectus.

Hello,

Yes, a state (Delhi) NC-OBC certificate is valid for CAT 2025 , but it must be in the central government format (for appointment to posts under Government of India).

Also, it should be issued after 31st March 2025, as required by IIMs. If your certificate meets these conditions, it will be accepted.

Hope it helps !

GIBS Business School in Bangalore accepts multiple national and state-level entrance exam scores for admission to its PGDM program. You can apply using scores from exams like CAT, MAT, XAT, CMAT, GMAT, ATMA, or various state-level CETs.

The admission process typically considers your entrance exam score along with your academic record, performance in the group discussion and personal interview, and any work experience you may have. For the BBA program, admissions are generally based on your Class 12 marks and do not require entrance exam scores.

If you're planning to apply, it's a good idea to keep your exam score, academic documents, and personal statement ready for the selection rounds.

If your son’s first preference is CSE, then Amrita Bangalore clearly leads among the three, simply because CSE opens more doors in terms of placements, internships, and future-proof careers. Amrita is also NAAC A++ and has a strong reputation, especially for CSE. Category 2 is also manageable fee-wise compared to higher categories.

VIT Chennai is a decent campus, and their ECE program is solid, but Category 5 means much higher fees and very low chance of branch upgrade later. CSE at VIT Chennai would have been more competitive here — but ECE at that fee tier is not as strong a deal unless your son has a strong interest in core electronics.

Manipal Bangalore (MIT Bengaluru campus) is a newer campus. ECE there is still developing in terms of placements and faculty compared to the main Manipal campus. Unless your son strongly prefers Bangalore or is getting some advantage here like scholarships or internship access, it doesn't stand out above Amrita.

So, recommendation: Go with Amrita Bangalore CSE (Category 2). It balances a strong branch with a decent campus and better long-term potential in the tech industry. If your son is open to core electronics and you’re okay with the higher cost, VIT Chennai is fine, but still comes second to CSE at Amrita.

All the best!

hi,

Yes, with a NEET score of 317 and being from Bihar with OBC category, you still have chances to get a seat. For BDS, getting a government seat may be difficult because the cutoffs are usually higher. But you can try for private BDS colleges, especially in the mop-up and spot rounds.You can get a seat in private BAMS colleges in Bihar, and maybe in semi-government colleges if cutoffs drop this year.

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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