Permutation and Combination Questions For CAT Exam | Day 35

Permutation and Combination Questions For CAT Exam | Day 35

Edited By Irshad Anwar | Updated on Sep 19, 2024 01:51 PM IST | #CAT

Hello CAT 2024 candidates, On November 24, the CAT exam 2024 for MBA admissions 2025–2027 will take place. In this CAT 2024 60 days preparation guide series of Careers360, we will discuss the strategies to prepare Permutation and Combination Questions For CAT Exam for day 35 that can help you prepare well and crack the CAT entrance test 2024.

Permutation and Combination Questions For CAT Exam | Day 35
Permutation and Combination Questions For CAT Exam | Day 35

This article covers the following topics i.e CAT Permutation and Combination Questions, Syllogism questions and Parallelism strategies for CAT.

CAT Preparation 2024 in 60 days

Part-1: Quantitative Aptitude for CAT exam

CAT Exam Important Topic: Strategy to Prepare “Permutations and Combinations (Principle of Counting and Arrangement)” and CAT Permutation and Combination Questions.

Permutation and combination CAT Formula and Concepts:

  • Fundamental Principle of Counting
  • Rule of Product: Taking 1 out of m objects and taking 1 out of n objects, the total number of ways taking 1 out of each of m and n = m x n
  • Rule of Addition: Taking 1 out of m objects or taking 1 out of n objects, the total number of ways taking 1 out of each of either m or n = m + n
  • Linear Arrangements: Arranging n objects at n different places = n!
  • Circular Arrangements: Arranging n objects at n different places(circularly) = (n-1)!

Permutation and Combination Examples:

Permutation Examples:

  1. Arranging Books: You have 4 different books (A, B, C, D) and you want to arrange them on a shelf. The number of ways to arrange them in a specific order would be a permutation. For example, ABCD, ACBD, BCAD, etc.

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  1. Choosing a Committee: You have 5 people and you want to choose a president, vice-president, and secretary from among them. The order in which you choose these roles matters, so this is a permutation.

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Combination Examples:

  1. Picking Fruits: You have 6 different fruits and you want to choose 3 to take with you. The order in which you choose them doesn't matter, only which fruits you select. This is a combination.

  1. Selecting a Pizza Topping: You are ordering a pizza and can choose 4 toppings from a list of 8. The order in which the toppings are placed on the pizza doesn't matter, so this is a combination.

CAT Exam: Basic Principle of Counting: Permutation And Combination Previous Year Questions

Q1. How many four-digit numbers, which are divisible by 6, can be formed using the digits 0, 2, 3, 4, and 6, such that no digit is used more than once and 0 does not occur in the left-most position? [TITA, CAT 2017]

Solution:

This CAT Permutation and Combination questions are based on Arrangements

Some points to be noticed: permutation and combination formula -

0 does not occur in the leftmost position.

If the numbers are to be divisible by 6 it should be a multiple of 2 and 3.

So, the number should be an even number and also be divisible by 3.

Permutations and combinations Examples:

At the unit place, there can be either 0, 2, 4, 6

Permutations and combinations Case 1: Unit Place is ‘0’

Sum of the rest of three should be divisible by 3, The possible pairs are

2, 3, 4; Number of arrangements = 3! = 6.

2, 4, 6; Number of arrangements = 3! = 6.

Total Numbers in Case 1 = 12

Permutations and combinations Case 2: Unit Place is ‘2’

Sum of all four digits should be divisible by 3, The possible pairs are

0, 4, 6 (Sum 0+ 4+ 6+ 2= 12); Left most place is filled in 2 ways and the remaining two places are filled in 2 ways, so total numbers formed = 4

3, 4, 6 (Sum 2+ 3 + 4+ 6 = 15); Number of arrangements = 3! = 6.

0, 3, 4 (Sum 0+ 4+ 3+ 2= 9); Left most place is filled in 2 ways and the remaining two places are filled in 2 ways, so total numbers formed = 4

Total Numbers in Case 2 = 14

Permutations and combinations Case 3: Unit Place is ‘4’

Sum of all four digits should be divisible by 3, The possible pairs are

2, 3, 6 (Sum 2+ 3 + 4+ 6 = 15); Number of arrangements = 3! = 6.

0, 2, 6 (Sum 0+ 4+ 6+ 2= 12); Left most place is filled in 2 ways and the remaining two places are filled in 2 ways, so total numbers formed = 4

0, 3, 2 (Sum 0+ 4+ 3+ 2= 9); Left most place is filled in 2 ways and the remaining two places are filled in 2 ways, so total numbers formed = 4

Total Numbers in Case 3 = 14

Permutations and combinations Case 4: Unit Place is ‘6’

Sum of all four digits should be divisible by 3, The possible pairs are

2, 3, 4 (Sum 2+ 3 + 4+ 6 = 15); Number of arrangements = 3! = 6.

0, 2, 4 (Sum 0+ 4+ 6+ 2= 12); Left most place is filled in 2 ways and the remaining two places are filled in 2 ways, so total numbers formed = 4

Total Numbers in Case 4 = 10

Therefore, in total we can form 12 + 14 + 14 + 10 = 50 four- digit numbers.

Hence, the answer is 50

Pre-requisite to permutations and combinations for CAT exam

  • Vedic Maths

  • Factorial

CAT study material: References to Study (Theory) permutations and combinations for CAT exam

  • NCERT Class 11 Maths

  • CAT Funda (YouTube, Link: https://www.youtube.com/watch?v=kqTIPJQ4JAM)

References to Practice CAT Permutation and Combination Questions

  • Practice CAT Permutation and Combination Questions

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

  • R B Classes (YouTube, Link: https://www.youtube.com/watch?v=St4IMbF4Kh0)

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

CAT 2024 Syllabus Topic: Strategy to prepare “Syllogism” (Part-1)

Important Concepts/ Formulas

The syllogism consists of statements and conclusions.

Some Rules:

  1. All+ All=All

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  1. All+ No=No

  1. All+ Some=No conclusion

  1. Some+ All=Some

  1. Some+ No= Some Not

  1. Some+ Some= No Conclusion

  1. No+ No=No Conclusion

CAT Exam: CAT Previous Year Questions on Syllogism from CAT/ MBA Entrance Exam:

Q1. The following question is given by 2 statements and 2 conclusions numbered I and II. Choose the right answer from the given options. [CMAT]

Statements:

All huts are bungalows.

All bungalows are churches.

Conclusions:

I. Some churches are huts.

II. Some churches are bungalows.

  1. If only conclusion II follows

  2. If either conclusion I or II follows

  3. If only conclusion I follows

  4. If both conclusions I and II follow

Answer: [D]

All + All = All positive conclusions will follow,

1695798975034

Therefore, both I and II will follow.

Q2. If all apples are red, and some apples are juicy, which of the following statements is true? [TISSNET]

  1. All apples are juicy.

  2. Some juicy apples are red.

  3. Some red apples are juicy.


  1. First statement

  2. Second and Third Statement

  3. Third Statement

  4. None of the above

Syllogism questions with Answers: B

1695798975355

Clearly, the second and third statements will follow.

CAT entrance exam: Prerequisite to Syllogism

Tips and Tricks for CAT

  • Two types of conclusions are there:


    • Definite

    • Possible

  • If All A are B; Possibility: Some B is not A.

  • If Some B is not A; Possibility: All A are B.

  • If Some A are B; Possibility: All A are B; All B is A.

  • Consider all the possibilities.

  • Questions can be solved by either of the following methods:


  • Practice Sample Papers

CAT syllabus 2024: References to Study (Theory) syllogism reasoning

  • Verbal and Non-Verbal Reasoning by B S Sijwali

  • Feel Free to Learn (YouTube link: https://www.youtube.com/watch?v=ev2SkXJVAbA&list=PLOoogDtEDyvsBG38tzlj1Zkd0PLxgZwXV)

CAT Exam: References to Practise Syllogism

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

  • CAT Previous years Papers and Sample Papers.

  • Ck CetKing (YouTube; Link: https://www.youtube.com/watch?v=uwfrfzhBkus)

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

CAT Exam Important Topic: Strategy to Prepare “Parallelism”

CAT Important Basic Concept

Use of the same pattern of words for two or more ideas that have the same level of importance.

CAT Previous Years' Questions on Parallelism

Find the error and correct the sentence

Q1: Most people cope up with anxiety by reaching for food rather then deal with their feelings. {Similar to CAT PYQ]

  1. cope up with anxiety by reaching for food rather than deal with their feelings.

  2. cope up with anxiety by reaching for food rather than dealing with their feelings.

  3. cope with anxiety by reaching for food rather than deal with their feelings.

  4. cope with anxiety by reaching for food rather than dealing with their feelings.

Solution: [D]

‘Cope up with' should be replaced with 'cope with'.

'Rather then' should be 'rather than'.

Also, the parallelism error is there; change 'deal' to 'dealing'.

Q2. Ashok is not only a terrific vocalist, but also great at solving mathematics. [Sample Question]

  1. Ashok is not only a terrific vocalist, but also great at solving mathematics.

  2. Ashok not only is a terrific vocalist, but is also great at solving mathematics.

  3. Not only great at solving mathematics, Ashok also is a terrific vocalist.

  4. Ashok is not only a terrific vocalist, but also a great mathematician.

  5. Also great at solving mathematics, Ashok is a terrific vocalist.

Ans: [D]

Grammar issue presented: Parallelism (correlative pairs)

“Not only…but also” is a correlative pair, so the elements immediately following each conjunction must be parallel.

CAT 2024: Pre-requisite

  1. Sentence Structure

  2. Conjunction and Prepositions

Tips and Tricks for CAT Exam

  1. Know when the parallel structure is required.

  2. Put structurally equivalent words or phrases in the same part of speech.

  3. Put structurally equivalent verbs in the same form.

  4. Use clauses or complete sentences consistently.

  5. Avoid faulty parallelism.

CAT exam: References to Study Theory

  1. Wren and Martin

  2. Rodha (https://www.youtube.com/watch?v=Vnc7Y_l8Hj4)

CAT exam: References to Practice

  1. Verbal Ability for CAT by Arun Sharma and Meenakshi Upadhyay.

  2. CAT Previous years Papers and Sample Papers.

  3. Rodha (youTube; Link: https://www.youtube.com/watch?v=IoZL7ZcuRmQ)

Keep working hard and practicing; Day 36 will be posted tomorrow.

Thank you

All the Best!

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Questions related to CAT

Have a question related to CAT ?

With a 59.95 percentile in CAT 2024 and ST category, you can expect calls from newer IIMs like IIM Bodh Gaya, IIM Jammu, and IIM Sirmaur, as they have lower cutoffs for reserved categories. Non-IIM options like IIT Madras (MBA), NIT Trichy (MBA), and state universities like Delhi School of Economics (DSE) might also consider your profile. Apply to institutions that prioritize diversity and offer ST reservation. Ensure your application highlights strong academics and achievements.

For more details you can visit the link given below

https://bschool.careers360.com/cat-percentile-predictor


Hi,

Based on the previous year analysis, According to your CAT 2024 percentile some of the best colleges offering MBA and PGDM course in Telangana in which you have chances to get a seat are the following

  • GITAM School of Business, Hyderabad
  • Institute of Management Technology, Hyderabad
  • School of Business Excellence, Hyderabad
  • IIRM Hyderabad
  • Dhruva college of Management, Hyderabad

For more information about the colleges in which you have chances to get a seat you can predict using MBA college predictor tool provided below

https://bschool.careers360.com/cat-college-predictor

Hope this information will help you

Hi,

With a CAT 2024 score of 93.94 percentile, you have a good chance of getting calls from several IIMs. Here are some possibilities:

IIMs:

  • IIM Jammu

  • IIM Bodhgaya

  • IIM Udaipur

  • IIM Kashipur

  • IIM Vizag

Apart from IIMs, you can also consider other prestigious B-schools like:

  • Management Development Institute (MDI) Gurgaon

  • FMS Delhi

  • IIT Delhi

  • IIM Lucknow

  • IIM Indore

  • IIM Raipur


CAT exam is conducted every year for purpose of admission to various prestigious business school and management institutes in India. The exam is also considered among toughest entrance exams in India. The exam rats the logical skills of the candidates. You can get the college list based on your CAT score by simply visiting CAT College Predictor 2024

Hi Sonu,

Preparing for CAT 2025 through self-study requires the right study materials, a structured plan, and consistent effort. CAT Syllabus comprises of Quantitative Aptitude (QA), Data Interpretation and Logical Reasoning (DILR), Verbal Ability and Reading Comprehension (VARC).

You can get more detailed information in the mentioned website of Careers360, it will be helpful enough for preparation of CAT 2025.

If looking for online sources, you can go through few channels on YouTube like- Study Buzz, Takshzila, and Career Launcher. Apps like unacademy and Byju's can help as well.

All the best for your CAT preparation.

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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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