CAT Mock Test Series 6- Sample Paper, Quant, LR, VARC | Day 24

CAT Mock Test Series 6- Sample Paper, Quant, LR, VARC | Day 24

Edited By Team Careers360 | Updated on Nov 07, 2024 09:06 AM IST | #CAT

Hello CAT 2024 aspirants,

The Common Admission Test (CAT) is a National admission test for MBA programs. There is a very competitive environment, with many applicants fighting for restricted slots. The CAT is difficult because of the difficult questions, vast variety of subjects, and lesser time constraints. Managing time and preparing for the syllabus is crucial for success.

CAT Mock Test Series 6- Sample Paper, Quant, LR, VARC | Day 24
CAT Mock Test Series 6- Sample Paper, Quant, LR, VARC | Day 24

The CAT 2024 Exam is scheduled for November 24, 2024, To help you in preparing, we have produced a 60-day program complete with sample assessments and practice papers. This article features previous CAT question papers with answers to clear up any of your doubts, This will help in increasing your preparation, and boost your confidence.

CAT Mock Test Series: Sample Questions and Solutions

This CAT question paper with solution based on the CAT syllabus 2024 has been covered in 23 days, and consists of three Sections:

Part- A consists of 8 questions.

Part- B consists of 6 questions.

Part- C consists of 10 questions.

CAT Test Series 2024 (Quantitative Aptitude) CAT Exam Sample Paper:

Q1. log49 (7log2 (2 + log3 (1 + 2log2x))) = 1/2. Find the value of x.

  1. 4

  2. 1

  3. 2

  4. ½

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Q2. The value of x satisfying log10(x2 + 3x + 21) = (2 − log104) is:

  1. 5

  2. 0

  3. 1

  4. 3

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Q3. If log54, log5 (3x – 1), log5 (3x +7) are in arithmetic progression, then the value of x is equal to:

  1. 5

  2. 0

  3. 2

  4. 3

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Q4. A family consists of a mother, a father, and some children. The average age of the members of the family is 30, the father’s age is 50 years, and the average age of the mother and children is 20. Children in the family are ______________ [TITA]

  1. 2

  2. 3

  3. 1

  4. 5

Q5. Consider a group of 30 persons whose average weight is 30 kg. If n new persons join this group whose average weight is m kgs. If it is known that m > 30 and m + n = 37, what is the maximum possible average weight of the group now?

  1. 30.363 kgs

  2. 30.193 kgs

  3. 30.352 kgs

  4. 30.166 kgs

Q6. X is p% less than Y and Z is p% more than Y. If X is 2.5p% more than Z, then find p.
(Note: p ≠ 0)

  1. 20

  2. 40

  3. 60

  4. 50

Q7. Find the average increase rate of increase in the price of an article in the first year is 40% and that in the second year is 30%.

  1. 41

  2. 56

  3. 40

  4. 38

Q8. A can type a sheet in 4 minutes, B in 5 minutes and C in 6 minutes. The average number of sheets typed per hour per person for all three persons is

  1. 25/3

  2. 30/3

  3. 65/3

  4. 37/3

CAT Mock test series 2024: CAT DILR sample Questions (Logical Reasoning and Data Interpretation)

Direction (Q1-Q3):

Annie, Ben, Cain, Dan and Engel are five friends who purchased a book each that was related to one of the following fields: Architecture, Biotechnology, Criminology, Demography and Economics. Further, the following information is known.

  1. No friend's first letter of the name matches with the field to which the book purchased is related.

  2. Annie and Dan love to read books related to Criminology apart from the books they purchased.

  3. Engel hates Criminology and Biotechnology and hence did not purchase them

  4. The first letter of the field to which the book that Ben purchased pertains, matches with the first letter of the name of the friend who purchased a book about Biotechnology.

Q1. After a month of reading, Annie exchanges her book with Dan and then Dan exchanges this book with Engel. The exchanges resulted in the first letter of the friends matching with the field to which the book belonged without violating conditions (b) to (d).

Which of the following is true?

  1. Engel bought a book related to Demographics.

  2. Annie bought a book related to Demographics.

  3. Dan bought a book related to Economics.

  4. Engel bought a book related to Architecture.

Q2. Which of the following is not necessarily true?

  1. Either Annie or Ben bought a book related to Criminology.

  2. Dan bought a book related to either Architecture or Economics.

  3. Either Dan or Engel bought the book related to Architecture.

  4. Either Engel or Cain bought the book related to Demographics.

Q3. While delivering the books, the salesman interchanged the books of two friends in such a manner that the field to which the book belonged and the starting letter of only one of the friends matched. However, conditions (b) to (d) were not violated.

Which of the following conditions lets you completely determine the fields of the books possessed by the five friends?

  1. Annie’s and Engel’s books were interchanged.

  2. Neither Annie nor Engel possesses a book related to Economics after the salesman interchanged their books.

  3. Neither Dan nor Engel had books related to Biotechnology after the interchange

  4. Interchange happened between the books of Annie and Dan.

Q4. Ajay, Bablu, Chinti, Dev, Elish and Faijal are six persons in six chairs around a table with only six chairs. Ajay is opposite Dev. Chinti is to the immediate right of Ajay and is next to Elish.

Which of the following is definitely FALSE?

  1. Ajay and Elish are not opposite each other.

  2. Elish is between Chinti and Dev.

  3. Chinti is between Ajay and Elish.

  4. Bablu and Faijal are opposite each other.

Q5. A, B, C, D and E are five apartments on a floor. Each pair of apartments has a path connecting them. How many paths are there in all?

  1. 12

  2. 10

  3. 5

  4. 2

Q6. A doctor, a lawyer and an engineer meet at a place. The doctor has not come from the hotel or the club. Each of them has come from only one of the following places, the club, the hotel and the theatre. Also, no two people have come from the same place. If the engineer has come from the hotel, then the lawyer has not come from

  1. the theatre or the hotel.

  2. the theatre or the club.

  3. the club or the hotel.

  4. the club or the theatre or the hotel.

CAT Exam sample paper 2024: CAT sample questions for VARC (Verbal Ability & Reading Comprehension) Previous year question paper of CAT Exam

In the questions below, find the phrase with an error.

Q1: If he was to decide to go to college, I for one, would recommend that he go to Yale University.

  1. If he were to decide to go to college

  2. Had he decided to go to college

  3. In the event that he decides to go to college

  4. No correction required

  5. Error Detection

Q2. Our mathematics teacher often emphasizes (a)/ on the need (b)/ for a lot of practice (c)/ No error (d)

  1. (a)

  2. (b)

  3. (c)

  4. (d)

Q3. I do not mind (a)/ to be disturbed (b)/ while watching T.V. (c)/ No error (d)

  1. (a)

  2. (b)

  3. (c)

  4. (d)

Q4. Reforms can elevate (a)/ poverty and usher (b)/ in economic prosperity (c)/ No error (d)

  1. (a)

  1. (b)

  1. (c)

  1. (d)

Fill in the appropriate word/Phrase

Q5. _____, doesn’t she?

  1. Anna doesn’t visit her friends daily

  2. Anna has a red pen

  3. Anna doesn’t play volleyball

  4. Anna does not do a quick revision before the exam

Reading Comprehension

IT’S LIKE READING Dostoevsky on a bad summer day. There are so many tormented souls out there caught in a morality play. Its emotional intensity is only matched by the inevitability of the x xx it raises about country, religion, power, and retribution. It’s big, shapeless, chaotic, and in the end, a rewarding experience of the imagination. But then, you’re not reading Great Russian. You’re living in, dare I say, a creative phase of politics. Rich in ideas and arguments, intense in its interplay of passions, nuanced in its undertones of morality and ethics, and ambitious in its pursuit of freedom, politics today, as a genre in creativity, is as good as the original works in other realms of the human mind, be it fiction or philosophy.

A sign of the times could be the profusion of political titles in publishing. They are mostly built on the themes of populism, outsiderhood, globalisation and resentment. Hardly a week passes without a full-length review in the book pages on yet another tome on a world gone astray, a world that’s being led to an incendiary denouement by revolutionaries and revisionists. The moment deserves such interventions because, by common intellectual consensus, in the evolution of post-World War II politics, we are at the next history-shifting stage after 1989, Europe’s annus mirabilis.

Then, the stage was an extension of literature: what was imagined in a controlled society sought freedom as the Lie unravelled. In Russia once imagined by Gogol, and lately reclaimed by Solzhenitsyn, the sight of the last general secretary of the Soviet Union letting the empire crack and go away needed another prophet, another novelist. Elsewhere, in a vassal state, revolution earned an adjective as romantic as ‘velvet’, and in the vanguard of its freedom struggle were writers and singers. In the end, the philosopher would be king. It was a time when an idea that promised man an alternative more liberating than religion proved to be history’s biggest ghost story.

Today, it’s the idea of freedom, as it has always been, that propels politics. It’s a different cast. No figures larger than their historical size. No one is pretending to be the last arbiter of our destiny. And no one is talking in a language that would be taught generation after generation. The disappearance of grandeur from the arena even prompted some pundits a while ago to wail over the death of politics. This moment in politics has an overwhelming sense of ordinariness about it. The new salvation theologians are all ordinary guys, tapping into the fears of people who have lost their balance in a world moving at a pace they cannot cope with. They can easily be categorised into types.

Q6. What does the author mean by the phrase “a creative phase of politics”?

(I) Politics today, as a genre in creativity, is as good as the original works in other realms of the human mind, be it fiction or philosophy.

(II) Politics today, on moral and creative grounds, is big, shapeless, chaotic, and in the end, a rewarding experience of the imagination.

(III) Politics today is rich in ideas and arguments, fervent in its interplay of passions and nuanced in its undertones of morality and ethics.

  1. Only (I) is correct

  2. Only (II) is correct

  3. Both (I) and (II) are correct

  4. Both (I) and (III) are correct

  5. All are correct

Q7. Which of the following statements summarizes Paragraph 04 in the best possible manner?

  1. Modern politics has evolved after the death of primeval politics and it finds no relevance in its classical glory as the idea of freedom and the sense of ordinariness have substituted the core ideologies.

  2. In an unequal world, the old bipolarity of politics has ceased to work, for the Left and the Right have not only lost the social space, they have lost the argument to a new set of liberators for whom it is not ideology that matters but ideas that feed on resentment.

  3. The importance and culture of politics have diminished since the arrival of ordinary people in the arena that witnessed the death of ancient political ideologies.

  4. As history choreographs a heady piece of politics, a certain amount of pessimism has taken over the fears of people who have lost their balance in a world moving at a pace they cannot cope with.

  5. None of the above.

Directions: Choose the word/group of words which is most similar in meaning to the word/group of words printed in bold as used in the passage.

Q8. Vanguard

  1. Pattern

  2. Avant-garde

  3. Criterion

  4. Inspiration

  5. Standard

Directions: Choose the word/group of words which is most opposite in meaning to the word/group of words printed in bold as used in the passage.

Q9. Denouement

  1. Misfortune

  2. Adjournment

  3. Genesis

  4. Epilogue

  5. Transpiration

Q10. Grandeur

  1. Inclusiveness

  2. Sophistication

  3. Magnification

  4. Indifference

  5. Classicalism

CAT Question Paper with solutions Part-1: CAT Test Series 2024 (Quantitative Aptitude)

Answer 1: (B)

log49 (7log2 (2 + log3 (1 + 2log2x))) = ½

⇒ 7log2 (2 + log3(1 + 2log2x)) = 491/2= 7

⇒ log2(2 + log3 (1 + 2log2x)) = 1

⇒ 2 + log3 (1 + 2log2x) = 2

⇒ log3 (1 + 2log2x) = 0

⇒ (1 + 2log2x) = 30 = 1

⇒ 2log2x = 0

⇒ log2x = 0

⇒ x = 1

Answer 2: (C)

log10(x2 + 3x + 21) = (2 − log104)

⇒ log10(x2 + 3x + 21) = (log10 102 − log10 4)

⇒ log10(x2 + 3x + 21) = (log10 100 − log104)

⇒ log10(x2 + 3x + 21) = (log10 100/4)

⇒ log10(x2 + 3x + 21) = (log1025)

⇒ x2 + 3x + 21 = 25

⇒ x2 + 3x - 4 = 0

⇒ (x + 4) (x - 1) = 0

⇒ x = - 4 or 1.

Hence, the correct answer is 1.

Answer 3: (C)

log5 4, log5 (3x – 1), log5 (3x +7) are in Arithmetic progression(AP).

⇒ log5(3x – 1) - log5 4 = log5(3x + 7) - log5 (3x – 1)

⇒ log5[(3x – 1)/4] = log5 [(3x +7)/(3x – 1)]

⇒ (3x – 1)/4 = (3x +7)/(3x – 1)

Let 3x = y

⇒ (y – 1)/4 = (y +7)/(y – 1)

⇒ (y – 1)2 = 4 (y +7)

⇒ y2 + 1 – 2y = 4y + 28

⇒ y2 – 6y – 27 = 0

⇒ y2 – 9y + 3y – 27 = 0

⇒ (y – 9) (y + 3) = 0

⇒ y = 9 or –3

3x cannot be negative.

So, 3x = 9
⇒ x = 2

Hence, the correct answer is 2.

Answer 4: (C)

Let the average age of children be x and there are n children in the family.

Let the age of the mother be y.

So, nx + y = (n + 1) 20 - - - - - - -(1)

Also, nx + y + 50 = (n + 2) 30 - - - - - - (2)

Subtracting 1st equation from the 2nd, we get,

50 = 30n + 60 – 20n – 20

⇒ 50 = 10n + 40

⇒ n = 1

Hence, there is only 1 child in the family.

Answer 5: [A]

Total weight of 30 + n persons = 30x 30 + m x n = 900 + mn

Average = (900 + mn)/ (30+ n)

Use hit and trial

m = 31; n = 6; Average = 1086/36 = 30.166

m = 32; n = 5; Average = 1060/35 = 30.285

m = 33; n = 4; Average = 1086/34 = 30.352

m = 34; n = 3; Average = 1002/33 = 30.363

m = 35; n = 2; Average = 970/32 = 30.312

m = 36; n = 1; Average = 936/31 = 30.193

So, the maximum possible average weight can be 30.363 kgs.

Answer 6: (A)

X = (100 – p) Y/100

Z = (100 + p) Y/100

X = (100 + 2.5p) Z/100

From 1st and 2nd relation, we get X = Z (100 – p) / (100 + p)

So, Z (100 – p) / (100 + p) = (100 + 2.5p) Z/100

⇒ 100(100 – p) = (100 + p) (100 + 2.5p)

⇒ – 100p = 100p – 250p + 2.5p2

⇒ 50p = 2.5p2

⇒ p = 20

Hence, the correct answer is 20.

Answer 7: (A)

Let the initial Price = 100

Price after 1st year after 40% increase = 140

Price after 2nd year after 30% increase = 140 × (130/100) = 182

∴ Net increase in Price = 182 - 100 = 82

Average change per year = 82 / 2 = 41

Hence, the correct answer is 41.

Answer 8: (D)

A can type 60/4 = 15 sheets in 1 hour

B can type 60/5 = 12 sheets in 1 hour

C can type 60/6 = 10 sheets in 1 hour

Total sheets typed in 1 hour = 15 + 12 + 10 = 37

So, Average sheets per person = 37/3

Hence, the correct answer is 37/3.

CAT Question Paper with solutions Part-2: CAT Mock test series 2024: CAT DILR Sample Questions

Answer 1: (A)

Let us represent the person’s name with A, B, C, D and E and also the fields to which each book belongs to A, B, C, D and E.

Person

Book

A

D/E

B

Criminology

C

Biotechnology

D

A/E

E

D/A

Annie exchanges with Dan and Dan exchanges with Engel so the book possessed by Annie goes to Engel. Hence, Annie purchased a book related to Economics. Don Purchased a book related to Architecture and Engel purchased a book related to Demographic.

Answer 2: (D)

See Solution of Q1.

Statement (A) is true.

Statement (B) is true.

Statement (C) is true.

Statement (D) is not necessarily true.

Answer 3: (B)

Condition (A) Annie and Engel's books were interchanged. There can be two possibilities with this condition with Annie taking books related to Demography or Architecture.

Condition (B) states that neither Annie nor Engel possess books related to economics.

Since Annie and Engel did not get a book related to economics that means Dan possessed a book related to economics, Annie possessed a book related to Architecture and Engel possessed a book related to demographics.

Answer 4: (D)

Ajay is opposite Dev. Chinti is to the immediate right of Ajay and next to Elish. So, the arrangement is as follows:

Answer 5: (B)

A, B, C, D and E are five apartments. Each pair has a path between them. The pairs may be AB, AC, AD, AE, BC, BD, BE, CD, CE, or DE. So, there are altogether 10 paths. i.e. 5C2 = 10.

Answer 6: (A)

It is clear that the doctor is not from the Hotel or Club, the Engineer is from the Hotel.

So, the Lawyer must be from the club. So, the combination is as follows.

(Engineer − Hotel) (Doctor − Theatre) (Lawyer − Club)

So, the Lawyer has not come from the Theatre or Hotel.

CAT Question Paper with solutions Part-3: CAT Exam sample paper 2024: CAT sample questions for VARC

Answer 1: (A)

According to the imaginary condition we use ‘were’ (past simple) in place of was. We use past simple with the modal with its past form as the main clause.

Answer 2: (B)

Start/emphasis/deny/order etc. these verbs generally do not take prepositions.

Answer 3: (B)

Use “being disturbed” instead of “to be disturbed”.

Mind verb uses gerund.

Answer 4: (A)

Replace elevate with alleviate

Explanation: Elevate- to give sb/sth a higher position or rank.

Alleviate- to make sth less severe.

Answer 5: (B)

“has” is used to show possession. It is Present Indefinite’s Affirmative sentence hence doesn’t she is used.

Answer 6: (D)

Explanation: Refer to 1st paragraph of the passage, You’re living in, dare I say, a creative phase of politics. Rich in ideas and arguments, intense in its interplay of passions, nuanced in its undertones of morality and ethics, and ambitious in its pursuit of freedom, politics today, as a genre in creativity, is as good as the original works in other realms of the human mind, be it fiction or philosophy. So only statements (i) and (iii) explain what the author meant to convey. Hence option (d) is correct.

Answer 7: (A)

Explanation: Read the 4th paragraph carefully, it mentions how politics has evolved over time, and modern politics has no significance in comparison to the old and historical ones. Today politics has its own ideologies which are marked as ordinary by the author.

Hence, only option (a) summarizes the paragraph appropriately and explains its context briefly and precisely.

Answer 8: (B)

Explanation: Vanguard means a position at the forefront of new developments or ideas. Avant-garde means a group of artists, musicians, or writers working with new and experimental ideas and methods. Hence both are similar in meaning.

Answer 9: (C)

Explanation: Denouement means the outcome of a situation when something is decided or made clear. Genesis means the origin or mode of formation of something.

Hence, both have opposite meanings.

Answer 10: (D)

Explanation: Grandeur means splendour and impressiveness, especially of appearance or style. Indifference means unimportance.

Hence, both have opposite meanings.

Study material for CAT 2024

CAT 2024 GD PI Preparation: Experts and Toppers Tips

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MBA Exams Computer Based Mock Test 2024 - CAT, MAT, XAT, SNAP, NMAT

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Frequently Asked Questions (FAQs)

1. What is the purpose of Day 24 in the 60-day preparation guide?

On Day 24, you may examine previous CAT question papers with comprehensive solutions. This will help you in identifying errors, reducing doubts, and strengthening your preparation.

2. How can analyzing previous year papers help me prepare for the CAT?

Reviewing previous question papers enables you to get comfortable with the different sorts of problems offered, learn the best problem-solving tactics, and prevent frequent mistakes during the exam.

3. Why is a mock test essential to prepare for CAT?

Practicing with mock exams helps you recognize the exam structure, manage your time more effectively, and boost your confidence for the final exam.

4. What is a logarithm in mathematics?

A logarithm shows you how many times you have to multiply one number by itself to obtain another

5. What is meant by Average?

An Average is the mean of a set of numbers. To calculate it, sum up all of the numbers and divide by how many numbers are there in the group. For example, the mean of 4, 6, and 8 is 6.

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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 .



To know about this please prefer our college predictor

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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