CAT Success Strategy: Mastering Stats, Clock Questions, and Verbal Ability on Critical Reasoning - Day 53

CAT Success Strategy: Mastering Stats, Clock Questions, and Verbal Ability on Critical Reasoning - Day 53

Edited By Irshad Anwar | Updated on Sep 20, 2024 01:15 PM IST | #CAT

Hello CAT 2024 aspirants, The CAT exam 2024 is scheduled On November 24 for MBA admissions 2025-2027. In the continuation of the CAT 2024 60 days preparation guide series of Careers360, on day 53 we will discuss the strategies for Statistics Questions and Answers For CAT Exam, Aptitude Clock Concepts, Clock aptitude questions and formulas that can help you prepare well and crack the CAT entrance test 2024. Students can download the Statistics questions and answers pdf. CAT Preparation 2024 in 60 days

CAT Success Strategy: Mastering Stats, Clock Questions, and Verbal Ability on Critical Reasoning - Day 53
CAT Success Strategy: Mastering Stats, Clock Questions, and Verbal Ability on Critical Reasoning - Day 53

Part-1: Quantitative Aptitude for CAT exam

Important Concept/Formula Used in Statistics questions and answers for CAT.

Concepts and Formulas Used in CAT statistics MCQ is given below:

  1. Measures of Central Tendency:

The following are the five measures of central tendency.

  • Arithmetic mean: AM of a and b is (a+b)/2.

  • Geometric mean: GM of a and b is (ab)1/2.

  • Harmonic mean: Calculated with the help of AP.

  • Median (Mid Value): the value of the variable which divides the group into two equal parts.

  • Mode : the value of the variable corresponding to the maximum frequency. In the case of continuous frequency distribution, the class corresponding to the maximum frequency is called the modal class and the value of mode is obtained as,

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Where,

l = Lower limit of modal class

h = Magnitude of the modal class,

f1= frequency of the modal class

f0= Frequency of class preceding the modal class

f2= Frequency of class succeeding the modal class.

  1. Measures of Dispersion:

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The various measures of dispersion are as follows

Range (Xmax – Xmin); Xmax – Maximum Observation; Xmin = Minimum Observation

Mean deviation: Average deviation of each observation from the mean value.

  1. Standard deviation:

1695879414509

  1. Variance

1695879414572

D. Quartile deviation

E. 10 – 90 percentile range

Statistics Practice Questions For CAT Exam From CAT Previous Years Papers

Q1. CAT 2024 Statistics Questions and Answers are given below:

Five positive integers have their mean, mode and median, each equal to 8. If their range is 15 and the mode is unique. How many possible values can the least of them take? [TITA, Based on CAT]

Ans: [1]

Mean = 8

Mode = 8

Median = 8

It means, 8 is the mid value.

Case 1: Since the mode is unique, 8 occurred a minimum of two times.

Possible case:

a. five values are x y 8 8 x+15 (since the range is 15, where x is the minimum value)

So, (x+ y+ 8+ 8+ x+15) = 8* 5 = 40

⇒ 2x +y = 9

y= 1, x =4 (Not possible; y> x)

y= 3, x = 3 (Not possible; if it is so mode will have two values but mode should be unique)

y= 5, x = 2

One value of x is possible from here.

b. five values be x 8 8 z x+15

So, (x+ 8+ 8+ z+ x+15) = 8* 5 = 40

⇒ 2x +z = 9

z= 1, x =4 (Not possible; x> z)

z= 3, x = 3 (Not possible, z should be greater than 8)

z= 5, x = 2 (Not possible, z should be greater than 8)

Case 2: If 8 occurred three times.

Possible values are x 8 8 8 x+15

So, (x+ 8+ 8+ 8+ x+15) = 8* 5 = 40

⇒ 2x = 1

⇒ x = ½ (not an integer)

From all the cases discussed, there is only 1 possible value of x.

Q2. Statistics test questions are given below:

Rajesh’s family went for a winter vacation by a personal CAR. The prices of oil differ from state to state. Calculate the median oil cost.

81.65, 81.85, 81.90, 91.74, 92.06, 92.10, 102.18 [TITA, Based on CAT]

Solution: Arrange the data in ascending order, we get:

81.65, 81.85, 81.90, 91.74, 92.06, 92.10, 102.18

Hence, the median oil cost is 91.74

CAT Exam Important Topic: Strategy to Prepare “Statistics questions for CAT”

Find the CAT tips and tricks for Statistics in Quantitative Section below:

  1. Difference between a continuous variable and a discrete variable should be clear.

  2. Frequency and cumulative frequency are two different things.

  3. Learn all the statistics theorems, including the central limit theorem, LLN, Cauchy representation, mean, median, and mode.

  4. Learn series like the Taylor series, Cauchy series, and infinite series as they are used to frame statistical questions.

  5. Mode = 3 x median- 2 x mean

  6. Practice CAT questions on statistics from Previous years questions to get familiar with the types of questions being asked.

CAT entrance exam: Prerequisite to statistics questions and answers

  1. Data Analysis

  2. Data Visualization

CAT study material: References to Study (Theory) Statistics concepts

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

  2. Rodha: YouTube (https://www.youtube.com/watch?v=VlYCQXSHutM)

  3. (https://www.youtube.com/watch?v=zWI2Nv5_7iE)

CAT study material: References to Practise statistics questions and answers and statistics interview questions

Study sources of Statistics practice questions for CAT exam are given below:

  1. Objective Arithmetic by Rajesh Verma.

  2. CareerRide (https://www.youtube.com/watch?v=6Jrb4wEloCQ )

  3. Practice Sample Papers

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

Important Concepts & Formula on Clock Problems

  1. 60 minutes space = 3600

  2. Hour hand covers 3600 in 12 hrs

  3. Minute hand covers 3600 in 60 minutes

  4. Second-hand covers 3600 in 1 minute

  5. The angle between the hour hand and minute hand at h hrs and m minutes

  6. Angle =11/2m-30h

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After completing all the important topics and concepts, aspirants should be able to solve Clock questions with solutions for CAT exam 2024 are given below.

CAT Previous Years Questions on Aptitude Clock Concepts

For practice of all the aspirants, CAT Logical Reasoning Quiz on :Clock questions and answers are given below :

Q1. Clock aptitude questions for CAT exam are given below:

The time in a clock is 20 minutes past 2. Find the angle between the hands of the clock.

[CAT 2016]

  1. 60 degrees

  2. 120 degrees

  3. 45 degrees

  4. 50 degrees?

Solution: [4]

Angle =11/2m-30h

⇒ Angle = 11x 20/2 – 30 x 2= 110 -60 = 500

Q2. CAT Questions Based on Clock are given below:

A clock loses 1% time during the first week and then gains 2% time during the next week. If the clock was set right at 12 noon on a Sunday, what would be the time that the clock will show exactly 14 days from when it was set right?[CAT 2016]

  1. 1: 36: 48

  2. 1: 40: 48

  3. 1: 41: 24

  4. 10: 19: 12

Ans: [2]

One week has 7 * 24 = 168 hours.

If the clock loses 1% time during the first week, then it will show a time of 1% less than 168 hours = 1.68 hours less.

Subsequently, in the second week, it gains 3.36 hours more than the actual time.

As it lost 1.68 hours during the first week and then gained 3.36 hours the next week, the net gain = 1.68 hours.

So the clock will show a time which is 1.68 hours more than 12 Noon two weeks after the given time.

1.68 hours = 1 hour and 40.8 minutes = 1 hour + 40 minutes + 48 seconds.

i.e. 1: 40: 48 P.M

CAT 2024 Syllabus Topic: Strategy to prepare Clock - Concepts and Questions with Solutions for CAT Exam

Clocks aptitude questions and formulas are given below:

  1. Learn the concepts very carefully.

  2. Minute hand and hour hand are perpendicular 22 times in 12 hrs.

  3. Minute hand and hour hand are at 1800 for 11 times in 12 hrs.

  4. Minute hand and hour hand overlaps 11 times in 12 hrs.

  5. Learn the concept of Faulty Clock.

  6. Clock which is fast, always gains.

  7. Clock which is slow, always loses time.

CAT entrance exam: Pre-requisite to Aptitude Clock Concepts

  1. Ratio and Proportion

  2. Time, Speed and Distance

  3. Knowledge of Analogue Clock

References to Study (Theory) Aptitude Clock Concepts for CAT 2024

  1. R S Agrawal

  2. (https://www.youtube.com/watch?v=e88HawPKlz8)

References to Practice Clock aptitude questions for CAT exam

MBA Entrance Previous years Papers and Sample Papers.

Unacademy CAT (https://www.youtube.com/watch?v=_Pj2A5ektTE)

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

Aspirants can download the CAT Critical Reasoning : Decision making conclusion derivation and theme detection pdf.

Important Concept for CAT Statement and Assumptions (Critical Reasoning : Decision making conclusion derivation and theme detection in CAT)

The question has three parts

Statement + Question+ Options (Assumptions)

Statement: A statement is defined as that which is expressible by a sentence and is either true or false.

Assumptions:

  • It is logically connected

  • Relevantly assumed

  • No surety of being true

CAT Practice Questions on Statements and Assumptions ( Critical Reasoning : Decision making conclusion derivation and theme detection questions for CAT)

Q1. Statements and Assumptions ( Critical Reasoning : Decision making conclusion derivation and theme detection for CAT Exam) are given below:

Statement: A warning in a train compartment – “To stop the train, pull the chain. Penalty for improper use 500”

Assumptions:

Some people misuse the alarm chain

On certain occasions, people may want to stop a running train [NMAT 2020]

  1. Only assumption I is implicit

  2. Only assumption II is implicit

  3. Either I or II is implicit

  4. Neither I nor II is implicit

  5. Both I and II are implicit

Ans. Option E

Explanation:

If the penalty is imposed then there must be a reason that people are mid using the facility.

So, Assumption 1 is implicit.

Secondly, an Alarm chain is provided for emergency uses. Therefore, II is also implicit.

Q2. CAT exam 2024 statements and Assumptions questions with solutions are given below:

Statement: If it is easy to become an engineer, I don’t want to be an engineer.

Assumptions:

An individual aspires to be professional

One desires to achieve a thing which is hard earned [XAT 2019]

  1. Only assumption I is implicit

  2. Only assumption II is implicit

  3. Either I or II is implicit

  4. Neither I nor II is implicit

  5. Both I and II are implicit

Ans: [B]

Explanation:

If I want to be a professional, I should have worked hard. And I should not deny being an Engineer. Secondly, we can say a statement and assumption I are not co-related. so, I is not implicit.

The statement also gives us a hint that one rejects a thing that is easy to achieve. so, Assumption II is implicit.

CAT Exam Important Topic: Strategy to Prepare “Statement and Assumptions” (Critical Reasoning : Decision making conclusion derivation and theme detection ) for CAT-2024

  1. Refrain from using basic General Knowledge.

  1. Spend adequate time decoding the statement.

  1. Increase the level of questions while practicing.

  1. Any assumption can be accepted if it is:

  • the Root Cause of a statement, or

  • The desired effect of a statement.

  1. Check whether an assumption is implicit or not, by “Keeping yourself in the shoes of the subject”

  1. Be careful of the extreme words used in the sentence, such as most, only, all, best, definitely etc. The statement is supposed to be read carefully to pick the right assumption.

  1. Practice questions daily (Fewer questions but daily)

CAT 2024: Pre-requisite to Statement and Assumptions

  1. Knowledge of basic components of statements and arguments.

  2. Sentence Structure.

References to Study (Theory)Statement and Assumptions” (Critical Reasoning : Decision making conclusion derivation and theme detection )

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

  2. CAT2CET (YouTube: https://www.youtube.com/watch?v=4hJRh8YIyo0)

References to Study (Practice) questions on Statement and Assumptions

  1. Verbal Reasoning by Disha Experts (kindle)

  2. CATKing.in

  3. (https://www.youtube.com/watch?v=YrBMjb_kb28)

Do your practice and stay focused; Day 54 will be back tomorrow.

Thank you!
All the Best!

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Questions related to CAT

Have a question related to CAT ?

Hi aspirant,

Preparing for any competitive exam, whether it is the Union Public Service Commission (UPSC) or the Common Admission Test (CAT), requires a deliberate and consistent strategy.

  1. Achieving success in the CAT requires a combination of conceptual clarity, strategic planning, and consistent practice of its three sections : quantitative aptitude (QA) , verbal ability and reading comprehension (VARC) , and logical reasoning and data interpretation (LRDI) .

CAT Exam Preparation Tips 2025

You can refer to the link given above for more information on the same,

  1. Preparing for the UPSC exam requires a strategic and sustained effort.         Begin by thoroughly understanding the detailed syllabus and exam               pattern for both the preliminary and main examinations. Develop a     strong foundation by studying NCERT books and then move on to standard reference materials for each subject like History, Geography, Polity, Economy, and Science & Technology. Simultaneously, stay updated with current affairs through regular reading of newspapers and magazines.

How To Prepare for UPSC IAS

You can also refer to this link.

All the best!

Hi aspirant,

  1. The CUSAT CAT exam centers for 2025 are spread across India, including major urban locations like New Delhi, Kolkata, Mumbai, Chennai, and Bangalore, as well as towns in Kerala such as Ernakulam, Thiruvananthapuram, Kozhikode, and others.
  2. The exam for individuals choosing centers outside of Kerala (codes 101 and 104) is slated for May 11, 2025, while exams for places within Kerala are scheduled for May 10, 11, and 12.
  3. To find your assigned exam center, download and review the admit card once it is issued. The exam center's exact location and address will be specified on your invite card.

CUSAT CAT Test Centres 2025

You can also refer to the link given above for more information on the same.

All the best!

Hi aspirant,

The CUSAT CAT 2025 admit card has been released.

The admit card will be accessible for download on the official website, admissions.cusat.ac.in. Candidates can obtain their admit card by logging into their candidate portal and entering their User ID and password. The admit card will provide vital information including the exam date, time, and location.

CUSAT CAT Admit Card 2025

You can also refer to this link for more information on the same.

All the best!

Hi aspirant,

As of the CAT 2024 exam for the MBA class of 2025-2027 at IIM Mumbai, the NC-OBC (Non-Creamy Other Backward Classes) category requires an overall percentile of 75.

It is essential to understand that these are the minimal qualifying percentiles required to go to the next level, the Personal Interview (PI). The actual cutoffs for receiving a PI call may be much higher, depending on the number of candidates, their profiles, and IIM Mumbai's special admission requirements for the year.

A higher score will considerably improve your chances of being shortlisted for the PI process.

CAT Cut off for IIM for OBC Category

You can also refer to the link given above for more information.

All the best!

All the best!

The CAT is a great option after graduation if you're interested in pursuing an MBA and building a career in management. It can open doors to top business schools like IIMs and lead to lucrative corporate roles. However, if you're not interested in management, there are other career options like higher studies, certifications, or entrepreneurship. Consider your career goals, interests, and investment before deciding.



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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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