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Be a CAT Expert: Ace Sequences and Series, Coin Puzzle and Critical Reasoning Questions

Be a CAT Expert: Ace Sequences and Series, Coin Puzzle and Critical Reasoning Questions

Edited By Irshad Anwar | Updated on Jul 19, 2025 01:18 PM IST | #CAT
Ongoing Event
CAT  Application Date : 01 Aug' 2025 - 13 Sep' 2025

As part of the ongoing 60-day CAT preparation guide by Careers360, Day 51 focuses on crucial topics like Sequence and Series, Picking Up Coins, and Critical Reasoning. These areas play a significant role in your overall performance. For those aiming for MBA admission from 2025-27, mastering such topics is essential. Critical Reasoning helps strengthen logical thinking, a key skill for the exam. The CAT preparation 2025 in 60 days, the plan is equally effective for CAT 2025 aspirants. Sequence and Series, in particular, includes three key question types and carries notable weightage in the exam. Aspirants should thoroughly practice these concepts. You can also download the Arithmetic Sequence Questions and Answers PDF to aid your preparation.

Be a CAT Expert: Ace Sequences and Series, Coin Puzzle and Critical Reasoning Questions
Be a CAT Expert: Ace Sequences and Series, Coin Puzzle and Critical Reasoning Questions
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Part 1: Quantitative Aptitude for CAT Exam

To solve sequence and series questions in CAT 2025, focus on arithmetic and geometric progressions, nth term formulas, and sum of terms. Mastering these core concepts helps improve speed and accuracy in the Quant section.

Concepts and Formulas used in sequence and series problems and solutions are given below:

  1. Arithmetic Progression (AP)

nth term of A.P. given by an = a+ (n-1)d

Sum of n terms of an AP

Sn = n/2 {2a + (n-1) d} or n/2 {first term + last term}

Arithmetic mean is (a+ an)/2.

Here, a is the first term, d (=a2- a1) is a common difference and n is the number of terms in AP.

  1. Geometric Progression (GP)

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nth term of the G.P. is an = ar(n-1)

Sum of n terms of a GP

Sn = a{(1- rn)/(1-r)}

sum of an infinite G.P. is given by

S = a/1-r

Geometric Mean of a & b is (ab)1/2.

Here, a is the first term, r (=a2/a1) is the common ratio and n are numbers of terms in GP.

  1. Harmonic Progression (HP)

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If a, b, c are in AP, then 1/a, 1/b, 1/c are in HP.

Solve HP with the help of AP.

CAT Sequence And Series Previous Year Questions

Q1. Sequence and Series Questions for CAT Exam are given below:

Three positive integers x, y and z are in arithmetic progression. If y − x > 2 and xyz = 5(x + y + z), then z − x equals [CAT 2021, slot 2]

  1. 8

  2. 10

  3. 14

  4. 12

Sequence and series questions and answers are given below:

Solution: [3]

If x, y and z are in AP, then

y- x = z- y > 2 (Given)

So, y > x +2 and z > y+ 2; z > x+ 4

Also, x+ z = 2y

It is given that

xyz = 5(x + y + z)

⇒ xyz = 5(3y)

⇒ xz = 15 and z > x+ 4

If z = 15, x = 1 (z > x+ 4, true)

If z = 5, x =3 (z > x+ 4, false)

Therefore z =15 and x= 1 will be taken and the difference is 14.

Q2. Sequence and Series Questions for CAT are given below:

For a sequence of real numbers x1, x2, ..., xn, if x1 - x2 + x3 - ... + (-1)n + 1xn = n2 + 2n for all natural numbers n, then the sum x49 + x50 equals [CAT 2021, Slot 2]

  1. 2

  2. -2

  3. 200

  4. -200

CAT questions on sequence and series are given below:

Answer: [2]

Sn = if x1 - x2+ x3 - ... + (-1)n + 1xn = n2 + 2n

If n = 50; S50 = 502+ 2 x 50 = 2600 = x1 - x2 + x3 - ... + x49 -x50

S49 = 492+ 2 x 49 = 2499 = x1 - x2 + x3 - ... + x49

So, S50 = S49 - x50

⇒ x50 = S49 - S50 = 2499 – 2600 = -101

S48 = 482+ 2 x 48 = 2400

Similarly, x49 = S49 – S48 = 2499 – 2400 = 99

So, x49 + x50 = -101 + 99 = -2

Tricks and Tips for sequence and series questions for CAT

Find the tips and tricks of sequence and series questions for CAT exam below:

  1. An AP of an odd number of terms is to be assumed as

…, a-2d, a-d, a, a+ d, a+ 2d, … [common difference ‘d’]

  1. An AP of an even number of terms is to be assumed as

…, a-3d, a-d, a+ d, a+ 3d, … [common difference ‘2d’]

  1. A GP of an odd number of terms is to be assumed as

…, a/r, a, ar, … [common ratio ‘r’]

  1. GP of an even number of terms is to be assumed as

…, a/r3, a/r, ar, ar3, … [common ratio ‘r2’]

  1. AM x HM = GM2

  2. AM≥ GM≥ HM

  3. Practice sequence and series previous year questions to get an idea of questions in CAT 2025.

Key Concepts in Quadratic Equations

Quadratic equations play a vital role in the CAT Quantitative Aptitude section. Understanding the basics helps in solving problems quickly and accurately. Here are the key concepts every aspirant should master:

1. Standard Form:
A quadratic equation is written as ax² + bx + c = 0, where a, b, and c are real numbers, and a ≠ 0.

2. Discriminant (D):
The discriminant D = b² - 4ac helps determine the nature of roots—real and distinct, real and equal, or complex.

3. Nature of Roots:

  • If D > 0: Two real and distinct roots

  • If D = 0: Two real and equal roots

  • If D < 0: Complex conjugate roots

4. Methods to Solve:

  • Factorisation: Split the middle term and rewrite the equation as a product of two simpler expressions. This method works best when the roots are integers.

  • Quadratic Formula: Plug the values into the formula x = (-b ± √D) / 2a to find the roots. It's reliable for all types of quadratics.

  • Completing the Square: Rewrite the equation into a perfect square form and then solve. This method helps when the other two aren’t easy to apply.

5. Sum and Product of Roots:

In any quadratic equation of the form ax² + bx + c = 0, the sum and product of the roots follow these simple formulas:

  • Sum of roots = -b/a

  • Product of roots = c/a

These shortcuts save time, especially in MCQs where you don’t need to find the exact roots.

Example:
Take the equation 2x² - 5x + 3 = 0
Here, a = 2, b = -5, and c = 3

  • Sum of roots = -(-5)/2 = 5/2

  • Product of roots = 3/2

You can now answer questions related to the relationship between roots without solving the full equation.

CAT Study Material: References to Study (Theory) Sequence and Series for CAT

  1. NCERT Mathematics Class 11.

  2. How to Prepare Quantitative Aptitude by Arun Sharma (7th Edition)

  3. Mission CAT (https://www.youtube.com/watch?v=efy0XXnmIpE)

CAT Study Material: References to Practice CAT Sequence and Series questions

Study sources of Sequence and Series questions for CAT are given below:

  1. Quantitative Aptitude by R S Agrawal.

  2. Rodha: YouTube (https://www.youtube.com/watch?v=XrbkOHqFQqA&list=PL2pKbEwLDvEOwgnhXiKM-I3plDVEQpdMQ

  3. (https://www.youtube.com/watch?v=FKFwQG0TvKA&list=PL2pKbEwLDvEOwgnhXiKM-I3plDVEQpdMQ&index=2)

  4. (https://www.youtube.com/watch?v=7D84xjcyxrE&list=PL2pKbEwLDvEOwgnhXiKM-I3plDVEQpdMQ&index=3)

  5. Practice Sample Papers on sequence and series questions

Part 2: CAT 2025 Logical Reasoning and Data Interpretation Preparation Tips

Logical Reasoning and Data Interpretation (DILR) is often considered the most unpredictable section in CAT. To prepare effectively, focus on understanding various puzzle types, data sets, and logic-based problems. Practice is key to solving diverse question sets regularly to improve pattern recognition and speed. Analyse CAT mock tests to identify weak areas. Build a strategy to manage time, select the right sets, and avoid lengthy traps.

CAT 2025 Syllabus Topic: Strategy to prepare “Picking of Coins” for CAT

Important Concept/Formula Used in questions on coins

  1. These problems are basically a special type of D.I. problems which require a high level of understanding.

  2. There are basically two types of scenarios in these Questions.

  3. The first case is who picks last wins the game

  4. The second case is who picks last loses the gam

  5. For the first case, the person who picks last wins must left (MINIMUM PICK MAXIMUM PICK) *k coins on the table to ensure it wins.

  6. In the second case, the person who picks last loses. So, the person who picks first must left(MINIMUM PICK MAXIMUM PICK) *k+ 1) coins on the table to ensure it’s winning.

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CAT Previous Years Questions on Coins

Q1. Two smart players A and B are playing a coin game in which they can pick up 1, 2, 3, or 4 coins. They have 78 coins and the player who picks the last coin will lose the game. A and B play alternately and A plays the first move. How many coins should A pick at first so his win is independent of the number of coins B picks in his first move?

[CAT PYQ]

Solution:

As the question explained, A is the first picker so he needs to maintain a such number of coins on the table that after his first pick his winning doesn't depend on the coins picked up by B.

So, in such cases, the trick is to maintain (multiple of a sum of minimum pick + maximum pick on the table)

So, the person who has the chance to pick first must pick as many numbers of coins so on the table the coins left on the table must be

(Multiple of the sum of minimum pick + maximum pick on the table)

So if this question the sum of minimum pick + maximum pick would be (1+4)k=5k

must leave on the table so the first person will pick 3 coins from the table and left 75 coins on the table for another person so he will ensure his win.

Q2. An old woman had the following assets: [CAT 2017]

Rs. 70 lakh in bank deposits

1 house worth Rs. 50 lakh

3 flats, each worth Rs. 30 lakh

a certain number of gold coins, each worth Rs. 1 lakh

She wanted to distribute her assets among her three children; Neeta, Seeta and Geeta. The house, any of the flats or any of the coins were not to be split. That is, the house went entirely to one child; a flat went to one child and similarly, a gold coin went to one child.

The value of the assets distributed among Neeta, Seeta and Geeta were in the ratio of 1:2:3, while the gold coins were distributed among them in the ratio of 2:3:4. One child got all three flats and she did not get the house. One child, other than Geeta, got Rs. 30 lakh in bank deposits.

How many gold coins did the old woman have?

  1. 72

  2. 90

  3. 180

  4. 216

Ans: [B]

Let the old woman have ‘x’ gold coins.

herefore, total asset base = Rs. 70 lakhs + Rs. 50 lakhs + Rs. 3 * 30 lakhs + x = Rs 210 lakhs + x

The assets were distributed in the ratio of 1:2:3. So, 210 +x should be multiple of 6.

Since there are “x” gold coins, then the total 210 + x is a multiple of 6.

210 is a multiple of 6. So, x is a multiple of 6.

Also, the gold coins were distributed in the ratio of 2:3:4. So, gold coins should be multiple of 9 also. Therefore, from the above two conclusions, we can say that gold coins are multiple of 18.

Therefore, x is a multiple of 18.

The total value of assets can be taken as 210 + 18k.

Dividing this in the ratio of 1:2:3 among Neeta, Seeta and Geeta.

Neeta = 1/6 x (210 + 18K) = 35 + 3k = 35 – k + 4k

Seeta gets = 2/6 x (210 + 18K) = 70 + 6k

Geeta gets = 3/6 x (210 + 18K) = 105 + 9k = 105+ k + 8k

Discuss for Geeta, the one only who can get three flats worth Rs 90 lakhs

Geeta will have a house of worth Rs 50 lakh, So, she cannot get Rs 30 lakh Cash.

Neeta will get 30 lakhs bank deposits, she will get (5+ 3k) gold coins.

Neeta got a total (35 – k) + 4k worth of assets. So, k = 5.

Neeta = 30 lakhs deposit and 20 gold coins

Seeta = One house + Rs. 20 lakh in bank deposits + 30 gold coins.

Geeta = 3 flats + Rs. 20 lakh in bank deposits + 40 gold coins.

Therefore, the total no. of gold coins = 20 + 30 + 40 = 90.

Tips/Tricks for CAT questions on coins

  • These are special types of problems, so these must be practised before exams.

  • All different types of cases needed to be covered by aspirants because every case required a unique approach to solve this question.

CAT entrance exam: Pre-requisite

  1. Puzzle

  2. Understanding of Division Process

  3. Understanding of Linear Equations

References to CAT Study (Theory)

  1. LRDI by Nishit K. Sinha

  2. Handa Ka Funda

References to Study (Practice) problems on coins

  1. MBA Entrance Previous years Papers and Sample Papers.

  2. Elite Grid’s youtube Channel

  1. Cat Preparation-iquanta

Part-3: CAT Exam Verbal Ability & Reading Comprehension Preparation 2025

CAT Exam Important Topic: Strategy to Prepare “Statement and Arguments” (What is Critical Reasoning in CAT) for CAT-2025

Important Concept used in Statement and Arguments questions

  • Statement: A statement is defined as that which is

  • expressible by a sentence and is either true or false.

  • Argument: An argument is a dispute or debate. In logic, the term has a more technical meaning.

CAT Previous Years' Questions on Statements and Arguments

Practising CAT's previous years' questions on Statements and Arguments is essential for mastering this critical Logical Reasoning topic. These questions test your ability to evaluate the strength and relevance of arguments based on given statements. Analysing past questions helps you understand the logic pattern, common traps, and the examiner’s perspective. Regular practice enhances your reasoning skills, improves accuracy, and builds familiarity with the question style commonly seen in the CAT 2025 exam.

Q1. Statements and Arguments are given below:

Statement: Should military training be made compulsory in our country? [PYQ]

Arguments:

1. Yes, every child should go through this training

2. No, it is not compulsory in USA

  1. If only argument I is strong.

  2. If only argument II is strong.

  3. If either I or II is strong.

  4. If neither I nor II is strong.

  5. If both I and II are strong.

Statements and Arguments questions with solutions are given below:

Ans. Option D

Explanation:

Argument 1: Not every child is strong enough physically. So, it is not a strong argument.

Argument 2: USA is a different country at different levels. Comparison is done here so it is also a weak argument.

Q2. Statements and Arguments (critical reasoning questions for CAT) are given below:

Statement: Should powerful nations attack relatively weaker nations which pose a probable danger to world peace? [IPMAT 2020]

Arguments:

  1. Yes. War is justified for the noble purpose of peacekeeping.

  2. No. War/violence should never be resorted to.

  3. If only 1 is implicit

  4. If only 2 is implicit

  5. If either assumption 1 or 2 is implicit

  6. If neither assumption 1 nor 2 is implicit

Ans: [A]

Explanation:

If someone is dangerous to humankind, it should get eliminated by a stronger person. So, Argument I seem to be implicit.

Tips and Tricks for CAT questions on Statement and Arguments

  1. The criterion of being either true or false is one thing that served to identify the informative use of language.

  1. An argument is a set of at least two statements, one of which is the conclusion of the argument, and the rest of which are premises offered in support of the conclusion.

  1. An argument will often contain indicator words that help identify the premises and conclusion.

  • Some conclusion indicators are:

So/, therefore,/consequently/ as a result/thus/hence/accordingly/it follows that

  • Some Premise indicators are:

Since/because/for/in light of/in view of/as shown by.

  1. Identify strong arguments and weak arguments

Strong Arguments Includes:

  • Facts based on experience

  • Educational development

  • Universal truth etc

Weak Arguments Include:

  • over exaggeration

  • Involves Comparison

  • Half explained arguments

  • Contains words like Each, Nothing, Very, All, only etc

CAT 2025: Pre-requisite to Statement and Arguments

  1. Knowledge of basic components of statements and arguments.

  2. Sentence Structure.

References to Study (theory) what is critical reasoning in CAT

  1. How to Prepare for Verbal Ability and Reading Comprehension for CAT | 9th Edition

  2. Book by Arun Sharma and Meenakshi Upadhyay

  3. CareerRide (YouTube: https://www.youtube.com/watch?v=u8FGPJzW140)

References to Study (Practice)Statement and Arguments questions

  1. Verbal Reasoning by Disha Experts (kindle)

  2. https://www.youtube.com/watch?v=7wiYAxzteI8

CAT 2025 Ebooks by Careers360

CAT 2025 eBooks by Careers360 are digital study guides that you can read anytime on your phone or laptop. They cover all key topics from Quant, VARC, and DILR and help to score high marks in the exam. These eBooks make focused preparation easier, smarter, and more flexible.

eBook Title

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CAT 2025 Quantitative Aptitude Questions with Answers

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Practice and stay focused; Day 52 will be posted tomorrow.

Thank you! All the Best!

Frequently Asked Questions (FAQs)

1. Why are Sequences and Series important for CAT 2025 Quant section?

Sequences and Series test your pattern recognition and formula application. They often appear in CAT 2025 Quant with moderate to high difficulty.

2. How can I approach Coin Puzzle questions in CAT 2025 Logical Reasoning?

In CAT 2025 LR, coin puzzles require a step-by-step approach. Use diagrams or tables to track coin flips or movements clearly.

3. What’s the role of Critical Reasoning in CAT 2025 VARC section?

Critical Reasoning helps assess your ability to evaluate arguments. In CAT 2025 VARC, it improves accuracy in reading comprehension and paragraph-based questions.

4. Do these topics appear frequently in CAT 2025?

Yes, all three, Sequences and Series, Coin Puzzles, and Critical Reasoning, are commonly featured in past CAT papers and are expected in CAT 2025 as well.

5. How should I prepare for Sequences, Puzzles, and Reasoning in CAT 2025?

Divide your prep time across all three topics daily. Start with concept clarity, then solve targeted CAT 2025-level practice sets to build speed and confidence.

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Questions related to CAT

Have a question related to CAT ?

Hello Aspirant,

Yes, if your caste is listed under Central OBC and you come under the category of Non-Creamy Layer, then you shall be eligible for the OBC-NCL reservation in the CAT exam and IIM admissions, irrespective of its being categorized as OEC in Kerala. Remember to get a valid OBC-NCL certificate obtained as per the format prescribed by the Government of India.

Hey Vijay:)

Thanks for reaching out!

OEC,(Other Eligible Communities) is a state-specific reservation category used in Kerala,and it is not recognised as a separate category in central-level exams like the CAT.

For Central govt exams candidates must choose from the recognised categories: General,SC,ST,OBC-NCL,EWS or PwD.If your community is listed under OEC-SC or OEC-ST in Kerala,you should check whether it falls under SC or ST in the central list and apply accordingly.

Similarly,If your OEC community is in the central OBC list and you meet the non-creamy layer(NCL)rules,you can apply as OBC-NCL, otherwise you need to apply under the general category.

You can verify caste's status in the central list on the National Commission for Backward Classes (NCBC) website.

Hope this clears your doubt!

You can easily get CAT previous year question papers online in PDF format, with solutions too. Websites like CollegeDunia, Careers360, SelfStudys, Cracku, and Aglasem have papers from CAT 2024, 2023, 2022… even back to the 1990s.

Hi dear candidate,

The score of your CAT exam is valid for one year from the date of exam.

For example: If your CAT exam was held on 24th November 2024 then your score is valid till 31st December 2025 meaning that you can take admission in the academic year 2025 - 27.

BEST REGARDS

With a Telangana EWS state rank of 2000 in NEET 2025, you have a decent chance of getting an MBBS seat under Category A (Convener quota) in government or semi-government medical colleges, especially during the later rounds of counselling. Your chances are higher in newer or peripheral colleges.


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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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