Unlocking CAT Exam Essentials: Exploring Unit Digits, Pie Charts, and Pronouns - Day 2

Unlocking CAT Exam Essentials: Exploring Unit Digits, Pie Charts, and Pronouns - Day 2

Edited By Team Careers360 | Updated on Sep 19, 2024 02:25 PM IST | #CAT

In our previous article, we covered the CAT Preparation Strategy for Quantitative Ability on Day 1, focusing on the number system and its components, such as classification, converting decimals to fractions, and base systems, along with relevant CAT quant questions.

In this article, we will study deep into the unit digit and the last two digits of a number as outlined in the CAT Quant syllabus for 2024. We'll also review previous year's CAT questions related to the number system. Typically, there are about 3-4 questions on this topic in the exam, based on past CAT quant papers.

This Story also Contains
  1. Part 1: Quantitative Aptitude For CAT 2024
  2. Part 2: Data Interpretation And Logical Reasoning For CAT 2024
  3. Part-3: VARC for CAT 2024 Exam
  4. Free PDFs for CAT 2024 preparation
Unlocking CAT Exam Essentials: Exploring Unit Digits, Pie Charts, and Pronouns - Day 2
Unlocking CAT Exam Essentials: Exploring Unit Digits, Pie Charts, and Pronouns - Day 2

For instance, given the number 234432, how would you determine the unit digit and the last two digits of the number?

Part 1: Quantitative Aptitude For CAT 2024

Topic: What is “Cyclicity”?

Cyclicity is used to determine the unit digit. Cyclicity is the power of a number after a multiple in which a unit digit is repeated.
For example, 21 = 2; 22 = 4; 23 = 8; 24 = 16; 2 5= 32 and so on.
As it is shown in the above example, after every fourth power of 2, the unit digit is repeated. So, 4 is cyclicity of 2.
So, you have to learn the cyclicity of every digit.

Digit

Cyclicity (Power Cycle)

Digit

Cyclicity (Power Cycle)

0

1 (Gives always 0 at unit place)

5

1 (Gives always 5 at unit place)

1

1 (Gives always 1 at unit place)

6

1 (Gives always 6 at unit place)

2

4 (2, 4, 6, 8)

7

4 (7, 9, 3, 1)

3

4 (3, 9, 7, 1)

8

4 (8, 4, 2, 6)

4

2 (4, 6)

9

2 (9, 1)

CAT quant questions based on the last two digits of a number are asked frequently in the CAT Exam.
Eg: Find the last two digits of 3737.

It is practically not so easy to solve this power. So, you need to learn the tricks to find the last two digits without actually solving this problem. Some of the tricks will be discussed later in this article, like dividing a number by 100 so that the remainder is the last two digits.

CAT Quant Questions From CAT Previous Year Papers

Question 1: The product of the last two digits of (1! + 2! + 3!….. 50!) is?

  1. 3

  2. 4

  3. 5

  4. 6

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Ans: (A)
Divide the given number by 100 to find the last two digits.
Number 10! And greater than 10! are divisible by 100.
So, find (1! + 2! + 3!….. +9!) and divide the result by 100 to get the remainder and hence the last two digits of the number.
So, 1! + 2! + 3!….. +9! = 1 + 2 + 6 + 24 + 120 + 720 + 5040 + 40230 + 362880
So, the sum of the remainder is (1+ 2 + 6 + 24 + 20 + 20 + 40 + 30 + 80). On dividing this result by 100, we get 13 as the remainder.
Product of digits of 13 = 1 × 3 = 3.

Question 2: What are the last two digits of 72008? [CAT Question Paper 2008]

  1. 21

  2. 61

  3. 01

  4. 41

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Ans: (C)
(1,3,7,9)20k = 01 (Last two digits) where k is a positive integer.
So, 72008 = 72000 x 74 x 74 = 01 x 01 x 01 (Taken last two digits only) = 01
So, the answer is 01.

Prerequisite:

While preparing for the number system, a student must learn:

  • Squares of the first 25 natural numbers

  • Cubes of natural numbers till 15

  • Knowledge of Prime and Composite

  • Knowledge of powers

  • Knowledge of factorial

  • Knowledge of Even and Odd Numbers

  • Basic Knowledge of Multiples and Factors

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Tips On CAT Preparation For the Number System (Unit Digit And Last Two Digits):

  1. Learn Cyclicity to find the unit digits as discussed in this article.

  2. Use the Concept of cyclicity in Practice Problems.

  3. To find the last two digits, the following tips may help you

    1. The last two digits of x2, (50+ x)2, (50- x)2, (100+ x)2, (100- x)2 are the same.
      Eg: 022 = 04
      522 = 04
      482 = 04
      1022 = 04
      982 = 04

    2. Odd20k = 01(last two digits) except for 5. Where k is a positive integer.
      Eg. 2342 = 01

    3. (a5)even = 25 (last two digits)
      (a5)odd = 75 (last two digits); where can be any digit.
      Eg: 13572 = 25, 13523 = 75

    4. Even20k= 76(last two digits) where k is a positive integer.
      Eg: 48200 = 76 (last two digits)

  4. Practice Mock Tests and CAT Question Paper

References for Study (Theory):

  1. Learn the concept of class 9 Mathematics NCERT (for theory)

  2. Arun Sharma: A Quantitative Approach for CAT (6th Edition)

  3. YouTube Channel of 2iim

References for Practice(Number System Questions And Answers):

  1. Master Number System for CAT and GMAT by Nishit K Sinha.

  2. CAT previous year papers: practice previous year CAT questions on number system

  3. Question bank from CAT-Holic

Part 2: Data Interpretation And Logical Reasoning For CAT 2024

Topic: Data Interpretation (Pie Graphs)

As discussed in the previous article, Data interpretation is the most important topic for the CAT exam and other management entrance Exams.

Skills of observation, doing calculations quickly, analyzing things, and comparison of values will help you in solving questions based on Data interpretation (Pie Charts).

In this topic, we are going to discuss strategies to prepare Data Interpretation based on Pie Charts. We will discuss some Pie chart questions on CAT below as well.

What is a Pie Chart (Pie chart basic concept for CAT Exam)?

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Sample pie charts of distribution of 6 parameters.

In the pie chart, data is distributed in a circle, which forms 360 degrees at its centre and comprises 100% of its area. Students must know how to derive the relation between angle and Percentage to calculate the parameter’s value.

Pie chart questions and concepts for CAT preparation from CAT Previous Year Papers:

Direction: The break-up of the students in a university by subject major is given in the polar pie chart. The bar chart shows the number of students who major in physics by geographic location. [XAT 2019, based on CAT PYQ]

Question 1. How many students major in chemistry?

  1. 200

  2. 175

  3. 170

  4. 190

  5. 180

Solution: (B)

Students major in physics = 18 + 36 + 80 + 40 + 23 + 28 = 225 which is 18% of total students.

So, 18% = 225

Major in Chemistry

14% = (225/18) x 14 = 175

Question 2. If the proportion of physics majors who are from Delhi is the same as the proportion of engineering majors who are from Delhi, how many engineering majors are from Delhi?

  1. 22

  2. 26

  3. 18

  4. 20

  5. 24

Solution: (D)

Students major in physics = 18 + 36 + 80 + 40 + 23 + 28 = 225 which is 18% of total students.

So, 18% = 225

So, Total students in Engineering major = 225×20/18 = 250

According to question

18/225 = x/250 (where x are students from Delhi with Engineering major)

⇒ x = 20

Question 3. 12% of all students are from Chennai. What is the largest possible percentage of economics students that can be from Chennai, rounded off to the nearest integer?

  1. 73%

  2. 77%

  3. 75%

  4. 71%

  5. 69%

Solution: (A)

Total number of Physics majors = 225
Total number of students = 225 x 100/18 = 1250
Students from Chennai = 12% x1250 = 150
Number of Physics majors from Chennai (from graph) = 40
Maximum possible number of Economics majors from Chennai = 150 - 40 = 110
Maximum Percentage of Economics Major from Chennai = 110 x 100/150 = 73.33%.

Prerequisite:

To prepare Data Interpretation (Pie Chart), a student must learn

  • The Basics of Trigonometry

  • Percentage (Basic)

  • Squares and Cubes of 20-30 first natural numbers.

  • Knowledge of fractions and Ratio

  • Must know to find Average

  • Knowledge of mean, Mode , and median.

Tips On CAT Preparation For DI (Pie Chart):

  1. Practice questions on simplification and approximation.

  2. Practice questions on the basics of percentages.

  3. Try to solve addition, subtraction, and multiplications mentally.

  4. Understand the conversion of angles into percentages.

  5. Practice the questions on the basics of average.

References To Study (Theory):

  1. LRDI for CAT and GMAT by Nishit K Sinha.

  2. To learn the basics of bar graphs read statistics of class 9 and Class 10 Mathematics from NCERT (For Theory)

  3. 2iim YouTube Channel

References To Study (Practice):

1. CAT previous year's papers

2. Question bank from CAT-Holic

3. How to Prepare for Data Interpretation for CAT by Arun Sharma

Part-3: VARC for CAT 2024 Exam

Topic: Pronoun and Its Type

Pronouns are used in place of nouns to avoid repetition of the nouns to which they refer. Pronouns have different forms and are used in different ways.

Eg: I, me, he, she, they, each, few, many, etc

To understand them in a better way, they are categorized into different categories as shown:

Type

Example

Uses

Personal Pronoun

(Used in place of the name of a person)

I, Me, He, She, You, They, Her, Us etc

He is going to meet her.

Possessive Pronoun (Shows possession of something)

My, Mine, ours, your, its, hers, etc

This T-shirt is mine.

Relative Pronoun (used before describing the features or properties of the subject)

That, who, whom, whose, which etc

The thief who stole the money has been successfully punished.

Reflexive Pronoun (Used when the subject and the object of a sentence are the same)

herself, myself, yourself, yourselves, himself, oneself, etc

He used to believe in himself.

Intensive Pronoun (Similar to Reflexive pronoun but emphasise more intensely on Subject)

herself, myself, yourself, yourselves, himself, oneself, etc

I myself cook my food.

Indefinite Pronoun (Used when the subject is not certain)

nobody. anybody everybody, somebody Anyone, no one, everyone, someone etc.

No one is perfect in this world.

Demonstrative Pronoun (Used to show the closeness of the subject or its position)

This, that, these, such, those, etc.

I had the privilege to visit the Prime Minister’s office, that was worth remembering.

Interrogative Pronouns (used to ask questions)

What, which, whose, whom, who, etc.

Who is confident enough to clear the CAT this year?

Reciprocal Pronoun (Used when the sentence has the two actions are performed by two parties)

Each other, one other

The kids threw stones at one another.

Distributive Pronoun (refers to individuals in a group)

none, each, either, neither, any, everyone, no one etc.

None of our friends was involved in the fighting.

Questions on Pronouns From CAT Previous Year Papers (CAT VARC pronoun)

Direction- Find the correct alternative for the underlined sentence:

Question 1. My mother bought ice creams for my brother and me, but she didn’t buy one herself.

  1. for my brother and me, but she didn’t buy one for herself.

  2. for my brother and myself, but she didn’t buy herself one.

  3. for my brother and I, but she didn’t buy one for her.

  4. for my brother and I, but she didn’t buy one for herself.

Ans. (A)

Option C and D are wrong because the use of ‘I’ does not make any sense, In place of I, ‘me’ should come (pronoun in place of a noun)

Option B is wrong since ‘myself’ (reflexive pronoun) refers to when I purchased the ice-cream but her mother purchased it.

Therefore, option A is correct because correct pronouns were used.

Question 2. He ____ saw the running Dog.

(a) himself (b) him (c) them (d) themselves

Ans: (a)

The correct pronoun for "he" is himself.

Question 3. Shreeti and ____ went to a movie.

(a) I (b) themselves (c) myself (d) ourself

Ans: (a)

Personal pronouns should be used here. So, the correct answer is option A.

Question 4. When a girl asked how I got _____ address, I told her that it was with the help of a relative of _____.

(a) my/ me (b) mine/ his (c) her/hers (d) she/ she

Ans: (c)

The address here is related to a girl, so "her" should come

Relative to mine or a relative of hers; both can be correct. However according to the options given, option (C) will be correct.

Tips On CAT Preparation for Verbal Ability (Pronoun):

  1. Learn the pronouns by categorizing them and their uses in different situations.

  2. Learn the basics of Grammar

  3. Practice different pronouns in different situations.

  4. Practice CAT Question Papers and Mock tests.

  5. Develop the habit of reading (Newspapers, Novels, Articles etc)

References To Study (Theory):

  1. Advanced English Grammar by Martin Hewings

  2. 2iim YouTube Channel

References To Study (Practice):

  1. CAT's previous year's papers

  2. Objective General English (Arihant)

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Have a question related to CAT ?

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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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