CAT Success : Expert Tips on Probability, Intro to Data Sufficiency, Synonyms & PYQs Discussion- Day 39

CAT Success : Expert Tips on Probability, Intro to Data Sufficiency, Synonyms & PYQs Discussion- Day 39

Edited By Irshad Anwar | Updated on Sep 19, 2024 01:41 PM IST | #CAT

Hello CAT 2024 candidates, On November 24, the CAT exam 2024 for MBA admissions in 2025–2027 will take place. In this CAT 2024 60-day preparation guide series of Careers360, we will discuss the strategies on probability questions for day 39 that can help you prepare well and crack the CAT entrance test 2024.

CAT Success : Expert Tips on Probability, Intro to Data Sufficiency, Synonyms & PYQs Discussion- Day 39
CAT Success : Expert Tips on Probability, Intro to Data Sufficiency, Synonyms & PYQs Discussion- Day 39

This article includes probability questions and other difficult aptitude questions on probability, Data sufficiency questions for CAT and Synonyms for CAT Exam. CAT Preparation 2024 in 60 days

Part-1: Quantitative Aptitude for CAT exam

Aspirants can also refer to the Permutation and Combination and Probability problems with solutions pdf.

CAT Exam Important Topic: Strategy to Prepare Probability Questions For CAT Exam, Permutation and Combination

Important Concept/Formula Used in CAT Probability Practice Questions

  1. CAT Probability or Chance:

Probability is a quantitative measure of the chance of occurrence of a particular event.

PE=n(E)/n(S), n(E) = no of favourable events; n(S) = Sample Space.

  1. Random Experiment probability problems

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If all the possible outcomes of an experiment are known but the exact output cannot be predicted in advance.

Examples

(i) Tossing of a fair coin (Total Outcome 2)

(ii) Dice probability questions

Throwing an unbiased die (Total Outcome 6)

(iii) Cards game probability questions

Drawing a card from a pack of shuffled cards

A pack or deck of playing cards has 52 cards which are divided into four categories as given below

a. Spades (♠)

b. Clubs (♣)

c. Hearts (♥)

d. Diamonds (♦)

[13 Cards: 9 Number cards, 1 Ace, 1 Jack, 1 Queen and 1 King] in each type

  1. Sample Space: Sample Space is the set of all possible outcomes of an experiment. It is denoted by S.

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  1. Event: Any subset of a Sample Space is an event.

  1. Equally Likely Events: Events are said to be equally likely if there is no preference for a particular event over the other.

Examples

(i) When a coin is tossed, Head (H) or Tail is equally likely to occur.

  1. Mutually Exclusive Events: if the occurrence of one of the events excludes the occurrence of the other

Example

(i) Tossing of a coin: either Head or Tail.

(iii) Rolling of a die: Either odd or even.

  1. Independent Events: The occurrence or non-occurrence of one event does not influence the occurrence or non-occurrence of the other.

  1. Exhaustive Event is the total number of all possible outcomes of an experiment.

Examples

(i) When a coin is tossed, we get either Head or Tail. Hence there are 2 exhaustive events.

CAT Exam: Previous Year Cat Questions On Probability Permutations And Combinations

Q1. Difficult aptitude questions on probability

A coin of radius 3 cm is randomly dropped on a square floor full of square-shaped tiles of 10 cm each. What is the probability that the coin will land completely within a tile? In other words, the coin should not cross the edge of any tile.[XAT 2018]

  1. 0.91

  2. 0.5

  3. 0.49

  4. 0.36

  5. 0.16

Solution: (E)

The radius of the coin is 3 cm. Since the coin should not cross the edge, the centre of the coin should at least be 3 cm away from the edge of the tile.

If we left 3 cm from all the edges, then the centre can lie in a square of 4 x 4.

So, Probability = Area of square 4 x4/ Area of tile

= 16/100 =0.16.

Q2. A die is thrown three times and the sum of the three numbers is found to be 15. The probability that the first throw was a four is [IPMAT 2019]

  1. 1/6

  2. ¼

  3. 1/5

  4. 1/10

solution: [C]

We can get sum 15 if

Case 1: 6, 6, 3

Total outcome = 3!/2! = 3

Favourable outcome (getting 4 at first throw) = 0

Case 2: 6, 5, 4

Total outcomes = 3! = 6

Favourable outcome (getting 4 at first throw) = 2 (4, 5, 6 or 4, 6, 5)

Case 3: 5, 5, 5

Total outcome = 1

Favourable outcome (getting 4 at first throw) = 0

Probability = 2/10 = 1/5.

Tricks and Tips of CAT permutations and combinations, probability

  1. Learn Algebra of Events

(i) A ∪ B is the event that either A or B or Both occur. (i.e., at least one of A or B occurs)

(ii) A ∩ B is the event that both A and B occur

(iii) is the event that A does not occur

(iv) is the event that none of A and B occurs

  1. P(S) = 1

  1. 0 ≤ P (E) ≤ 1

  1. P(ϕ) = 0 (∵ Probability of occurrence of an impossible event = 0)

  1. Let x outcomes be favourable to E and y outcomes are not favourable to E, then

Odds in favour of E are x:y, i.e.,x/y and

Odds against E are y:x, i.e.y/x

PE=x/x+y

PE'=y/x+y

  1. Learn Conditional Probability.

  1. Binomial Distribution:”

P (r successes in n trials) =

1696998564626

  1. If n fair coins are tossed,

The Total number of outcomes in the sample space = 2n

The probability of getting exactly the r-number of heads when n coins are tossed =

1696998564415

  1. Practice sample papers and questions based on previous years CAT Questions.

  1. Solve Questions from easy to moderate levels and after that try hard questions.

CAT entrance exam: Prerequisite to probability questions

Know this before probability permutations and combinations

  1. Factorial

  2. Permutation and Combination

  3. Basics of Set Theory

CAT study material: References to Study (Theory)

For probability problems and concepts

  1. NCERT Class 11 Maths

  2. Mission CAT (YouTube, Link: https://www.youtube.com/watch?v=99zr_7OogIM)

CAT study material: References to Practice probability questions

  1. How to prepare quantitative Aptitude for CAT by Arun Sharma.

  2. CAT Funda (CAT PYQs; YouTube:://www.youtube.com/watch?v=nTqInfzG5yw)

  3. CAT probability questions with solutions pdf.

Part-2: CAT 2024 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation)

CAT 2024 Syllabus Topic: Strategy to prepare “Data Sufficiency in LR (Part-1)” for CAT

CAT Exam: About Topic/ Formulas

  1. While the genre of Data Sufficiency is unique, the structure is not – all Data Sufficiency questions are structured the same, with three key elements:

  2. The question stem: may or may not contain important facts

  3. The statements: always two statements

  4. The answer choices: always the same.

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CAT Exam Preparation

Sample Question based on PYQs on Data Questions for CAT/ MBA Entrance Exam:

Q1. In a particular school, sixty students were athletes. Ten among them were also among the top academic performers. How many top academic performers were in the school?

I. Sixty per cent of the top academic performers were not athletes.

II. All the top academic performers were not necessarily athletes. [CAT 2007]

  1. Statement I alone is sufficient to answer this question but statement II is not sufficient to answer this question.

  2. Statement II alone is sufficient to answer this question but statement I is not sufficient to answer this question.

  3. None is sufficient to answer this question.

  4. Both statements together are sufficient to answer this question.

Solution: [A]

Statement I: 40% of top academic performers are athletes = 10.

Statement II: does not provide any relevant information.

So the answer is (1).

Tips and Tricks for CAT 2024

  1. Ask yourself the following questions (starting with the statement (1):

Is the information in the statement (1) alone enough to answer the question?

Is the information in a statement (2) alone enough to answer the question?

Can an answer be given if with the information from statements (1) and (2) both?

  1. A statement is sufficient when it guarantees exactly one (and only one) answer to the question.

  1. You do not have sufficient information if more than one answer is possible

  1. Do not solve the question after the moment you know the unique answer can be found thereafter.

  1. If the answer from one statement alone and by combining both statements can be found out then the answer will be from one statement alone.

  1. Stick to the basics.

CAT entrance exam: Prerequisite

  1. Blood Relation

  2. Direction Sense, Ranking , Coding-Decoding, Inequality , Cubes, and various other basic topics of Logical Reasoning .

References to CAT Study (Theory)

  1. LRDI byNikhil K. Sinha

  2. (YouTube link: https://www.youtube.com/watch?v=Fw6oK3aWuXw)

CAT References to Study (Practice)

  1. Verbal and Non-Verbal Reasoning by R S Agrawal.

  2. MBA Entrance Previous years Papers and Sample Papers.

  3. https://www.youtube.com/watch?v=blkzss4S0-0

Part-3: CAT Exam Preparation 2024: CAT exam tips for VARC (Verbal Ability & Reading Comprehension/Synonyms for MBA entrance )

Sample Questions:

Directions: Choose a similar word from the given options for highlighted phrase/word.

Q1. Public policy in regard to food in main economies around the world has not provided adequate incentive, and the response to emergencies like accidents is equally sad.

  1. Acceleration

  2. Surplus

  3. Baiting

  4. Encouragement

Ans: D

Explanation: The context of the sentence refers to Encouragement. Hence option D is correct.

Q2. We today can see a swing away from these stereotypes, or have they established a stranglehold on our perceptions.

  1. Asphyxiation

  2. Containment

  3. Prohibiting entry

  4. Overwhelming control

Ans: D

Explanation: Asphyxiation- it happens when someone is literally strangled. And here the context is different.

Containment: it cannot be established and hence can be eliminated.

It does not seem appropriate here.

Prohibiting entry is for physical context and not for abstract. Hence can be eliminated.

Overwhelming control is a perfect fit here. Hence option D is correct.

CAT Exam Important Topic: CAT preparation strategy on “ English Synonyms for CAT (Part-1)”.

  • One needs to be careful about the context.

  • Every word in the English language has a lot of different meanings.

  • To learn synonyms one can create word families

    • Beautiful- Gorgeous, Dazzling, Splendid, Magnificent

    • Important- necessary, vital, critical, Indispensable

  • One can also take reference from root words.

  • One can learn synonyms by logically associating a word with a sentence or a situation.

  • One needs to carefully observe the sentence's meaning as a whole.

  • Another method is to eliminate the other options.

  • Practise more and more exercises.

Prerequisite to CAT Exam Preparation

  1. Vocabulary

  2. Parts of Speech

References to Study (Theory)

  1. Wren and Martin

  2. Made Word Power Easy

  3. CATking.in (https://www.youtube.com/watch?v=qXw3syyd_Ak)

CAT preparation: References to Study (Practice)

  1. Big Book of Synonyms and Antonyms – English (Maple Press)

  2. CAT Previous years Papers and other MBA Entrance Exams.

  3. CATKing.in (YouTube; Link: https://www.youtube.com/watch?v=qXw3syyd_Ak&t=6s )

We will be back with Day 40 tomorrow. Do practice and be focused.

Thank you! All the best!

Frequently Asked Questions (FAQs)

1. How many questions come from probability in CAT?

On average, in the quantitative aptitude section of the CAT exam, you might expect to see around 2 to 4 questions related to probability. This is a rough estimate based on historical data up until 2024.

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Questions related to CAT

Have a question related to CAT ?

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


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


But you could opt for:


Postgraduate Studies:


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

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

Professional Certifications:


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

Job Entry via MBA

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

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

Hello Pratik,

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

Here's what you can do:

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

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

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

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



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

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


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

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


Hi Shreya ,

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

For a safe side , it is recommended :

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

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

Hope this helps you .

ALL THE BEST .



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Hello,

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

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

MAT : Much easier and takes place thrice a year.

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

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

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

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Directions for question :

M/s Deloitte Touche Tohmatsu Limited, one of the top four audit and accounting firms in the world with headquarters at London, UK, and with an operational presence in 153 countries, hires Management Trainees (MT) from all the premier management institutes of India thrice every year, in the months of January, May and September.

Each new group of Management Trainees (MT) have to go through a four month rigorous training schedule, after which they have to pass through a test consisting of a written assessment and a case-analysis. The top hundred ranked Management Trainees (MT) based on the performance in the test are confirmed as Management Executives (ME). The rest are given the opportunity of undergoing the training for four months one more time along with the next batch of Management Trainees (MT) and then passing through the subsequent test consisting of the written assessment and case-analysis. The Management Trainee (MT) who fails to get confirmed as a Management Executive (ME) the second time is fired.

The scatter-graph below depicts the number of Management Trainees (MT) at Deloitte taking the tests from January 2020 till May 2022, and the vis-à-vis hired Management Trainees (MT) at Deloitte who were fired :

It is also known that for the month of September 2019 at Deloitte, 96 hired Management Trainees (MT) failed to be confirmed as a Management Executive (ME) the first time, and that 36 hired Management Trainees (MT) were fired. 

Question :

In which test did the minimum number of Management Trainees (MT) get confirmed as a Management Executive (ME) in the second attempt ?

Option: 1

September 2020

 

 


Option: 2

May 2021


Option: 3

January 2021

 


Option: 4

January 2022 


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the first customer's order be considered closed ?

 

Option: 1

6.15 pm

 

 


Option: 2

6.17 pm

 


Option: 3

6.18 pm

 


Option: 4

6.20 pm


Directions for question :

Six sticks of equal lengths were kept in the vertical position in an empty flower-vase, to be arranged at the six corners of a regular hexagon. The two ends of each of the sticks were of different colours. 

The top ends of the sticks were one of each of the following colours – Red, Cyan, Pink, Brown, Black and Green. The bottom ends were one of each of the following colours – Blue, Yellow, White, Orange, Purple and Grey. Both the sets of colours mentioned were in no particular order.

It was also known that :

a) The stick with the red colour was opposite to the stick with the blue colour

b) There were exactly two sticks whose both ends had colours whose names started with the same letter

c) The stick with the grey colour was adjacent to the stick with the white colour

d) The stick with the cyan colour was adjacent to both the sticks with the brown colour and the one with the blue colour

e) The stick with the purple colour was adjacent to both the sticks with the grey colour and the one with the green colour

f) The stick with the white colour was opposite to the stick with the green colour

Question :

What was the colour of the bottom end of the stick having brown colour at the top end ?

Option: 1

 White 

 


Option: 2

Yellow 


Option: 3

Black

 


Option: 4

Grey


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the third customer's order be considered closed ?

 

Option: 1

6.28 pm

 


Option: 2

6.35 pm

 


Option: 3

6.38 pm


Option: 4

6.45 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis, when would the second customer's order be considered closed ?

Option: 1

6.20 pm

 

 


Option: 2

6.18 pm


Option: 3

6.15 pm

 


Option: 4

6.12 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis, when would the third customer's order be considered closed ?

 

Option: 1

6.22 pm

 


Option: 2

6.25 pm


Option: 3

6.28 pm 


Option: 4

6.30 pm


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

A fourth customer comes in and orders two plates of French Toast at 6.24 pm. Suppose Moloy and Niloy had decided to process multiple orders at the same time, however strictly prioritising a first come first serve basis. For exactly how many minutes would one of the friends be idle from 6.00 pm till serving the last customer, assuming that the four customers were the only ones to have come in within the period being discussed ?

Option: 1

9

 


Option: 2

13


Option: 3

18


Option: 4

21


Directions for question:

Two friends Moloy and Niloy passed out from the Purulia Institute of Science and Technology with B.Tech degrees in Mechanical Engineering, but even after a year placement was hard to find. So they decided to take the challenge head-on, came down to Kolkata, rented a garage space on Park Street, and having an affinity towards making people enjoy good food, started their firm named 'B.Tech Bread-Omlette Wala'. 

They started with three items on the menu. One was the French Toast which could be prepared in 3 minutes. The second was the Egg Tortillas which took 15 minutes to prepare. Any one of Moloy and Niloy could prepare any one of them at a time. The third was the Egg Bhurji with French Fries. This however was prepared on an automated fryer which could prepare 3 servings at a time and took 5 minutes irrespective of the number of servings equal to or below 3. The fryer did not need anyone to attend to it, and the time to put in the raw ingredients could be neglected. So one could tend to the preparation of other items while the Egg Bhurji with French Fries were being prepared. 

They wanted to serve the orders as early as possible after the order was given. The individual items in any order were served as and when all the items were ready, and the order was then considered closed. None of the items on the menu were prepared in advance in anticipation of future orders. 

On the first day, 3 groups of customers came in and ordered at 6.00 pm, 6.10 pm, and 6.13 pm. The first order was for a plate of Egg Tortillas, two plates of French Toast, and three plates of Egg Bhurji with French Fries. The second order was for a plate of French Toast and two plates of Egg Bhurji with French Fries. The third order was for a plate of Egg Tortilla and a plate of Egg Bhurji with French Fries. 

On the backdrop of the above information answer the questions given :

Question: 

Had Niloy been absent on that day, and assuming that the next customer's order could only be attended to when the previous customer's order was closed, at what time would the fourth customer's order (refer to the previous question) be considered closed ?

Option: 1

6:38 pm

 


Option: 2

6:42 pm

 


Option: 3

6:47 pm


Option: 4

6:49 pm


Directions for question:

The bar-graph given below shows the foreign exchange reserves of Nepal (in million Rupees) from 2014 to 2021. Answer the following questions based on the graph :

Question:

What was the percentage increase (rounded to the nearest integer, if deemed necessary) in the foreign exchange reserves in 2020 over 2016 ?

Option: 1 None

Option: 2 None

Option: 3 None

Option: 4 None

Directions for question:

The Jadavpur University’s Prince Anwar Shah Road hostel consists of two large separate buildings, one for the ladies and the other for the gents, while having a common kitchen and dining hall. It is the hostel of the CS and the EEC department of engineering students of the university.

In recognition of the growing dissatisfaction and hence complaints among the inmates of the hostel regarding the menu served for dinner, the Dean of the engineering department, Dr Aparesh Sanyal, personally decided to investigate the matter. He set about collecting information about the preference of dinner among the inmates, separately from the gents and the ladies wing of the hostel.

Dr Sanyal was able to gather the following partial information :  

 

Hostel inmates

Menu preference for dinner

Total

Egg Meal

Fish Meal

Chicken Meal

Gents

   

20

 

Ladies

     

64

Total

 

60

   

 

The Warden of the hostel was consulted, who after investigation declared that the following facts were clear :

1. Forty percent of the hostel inmates were ladies

2. One-third of the gentlemen inmates preferred an egg meal for dinner

3. Half the hostel inmates preferred either fish meal or chicken meal

Question:

What proportion of the lady hostel inmates preferred a fish meal for dinner ?

 

 

Option: 1

0.25

 

 


Option: 2

0.50

 


Option: 3

0.75

 


Option: 4

1.00 


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