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Master Logarithm and Modulus, PYQs for Circular Arrangement Problems for Top Scores- Day 21

Master Logarithm and Modulus, PYQs for Circular Arrangement Problems for Top Scores- Day 21

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CAT Admit Card Date:05 Nov' 25 - 30 Nov' 25

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Team Careers360Updated on 19 Sep 2024, 02:13 PM IST

Hello CAT 2024 aspirants,

This Story also Contains

  1. Part 1: CAT 2024 QA Preparation Tips (Quantitative Aptitude)
  2. Part 2: CAT 2024 Preparation Tips: CAT DILR tips (Logical Reasoning and Data Interpretation)
  3. Part-3: CAT Exam Preparation 2024: CAT exam tips for VARC (Verbal Ability & Reading Comprehension)
  4. Free PDFs for CAT 2024 preparation
Master Logarithm and Modulus, PYQs for Circular Arrangement Problems for Top Scores- Day 21
CAT exam preparation in 60 days

The CAT exam for MBA admission in 2024-2026 is scheduled for November 26. In this 60-day CAT preparation guide series by Careers360, we’ll be discussing the strategies for Day 21 to help you prepare effectively and excel in the CAT entrance test 2024.

This article will cover CAT questions on logarithms, modulus, and circular arrangements, as well as VARC questions. Logarithm and modulus problems can be quite challenging, and students sometimes struggle with them. Various difficult logarithm problems can be found online, and it's essential to engage in thorough practice sessions. Additionally, reviewing previous years' logarithm questions can be beneficial for your preparation.


Part 1: CAT 2024 QA Preparation Tips (Quantitative Aptitude)

Topic: Algebra (CAT Logarithm questions and Modulus)

Logarithm is an important part of algebra and is consistently asked in the CAT entrance exam. We will also cover a few Logarithm CAT questions and modulus. Students can also refer to the logarithm questions for the CAT pdf as well for more practice.

In the simplest terms, what a logarithm is:

If ax = N, then x = loga N.

Here ‘a’ is the base of the logarithm.

For Example:

102 = 100; So, 2 = log10100

A modulus is a function which always returns a positive value. The graph of the modulus function is symmetric about the y-axis.

For Example:

If |x| =2, then x can be 2 or -2.

Tips to solve CAT questions on Logarithm and Modulus

(a part of CAT Arithmetic questions) Learn all the properties related to Logarithm.

The following are some of the key characteristics of logarithms:

  1. loga xy=loga x + loga y

  2. loga x/y=loga x - loga y

  3. logaxn = nloga x

  4. logan xm =m/n logax

  5. logax = 1/ logxa (Base Change Operation)

  6. logaa= 1

  7. loga1 = 0

  8. a^(logax) = x

Some CAT common mistakes to avoid:

  • loga (x+ y) ≠ loga x + loga y.

  • loga xy ≠ (logax) (logay)

  • The logarithm to base 1 is not defined.

  • Questions of modulus can be solved by squaring both sides

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For example:

If x =y, then x2 = y2 and we can solve accordingly.

  • Practice inequality problems based on logarithms.

  • Candidates preparing for the CAT should dedicate time to practice a wide range of inequality questions to ensure they're well-prepared for any variation that may appear on the exam.

  • The characteristic of a number is defined as

  • If log N = 4.73, then the characteristic of N is 4 and Mantissa is .73.

  • This property is used to find the number of digits in a given number.

  • i.e. Number of digits = characteristics + 1.

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For example: find the number of digits in 212

log 212 = 12 log 2 = 12 x 0.3010 = 3.612

Therefore, the number of digits in 212 will be (3+1 = 4)

Importance of Logarithm and Modulus

Logarithms are used to solve exponential equations and hence can be used for analysis while designing software or hardware.

  • The modulus Function gives magnitude only irrespective of the direction of the variable.

  • In the CAT exam, 1-2 questions are expected from this function.

CAT Previous Year logarithm questions and questions on modulus for CAT:

Q1. For a real number a, if (log15a+log32a)/[(log15a) (log32a)] = 4 then a must lie in the range [CAT 2021, slot-3]

  1. 4 < a < 5

  2. 3 < a < 4

  3. a > 5

  4. 2 < a < 3

Solution: (1)

(log15a + log32a)/[(log15a) (log32a)] = 4
⇒ 1/ log32a + 1/log15a = 4
⇒ loga 32 + loga15 = 4 (Using base change property)
⇒ loga(32x15) = 4
⇒ a4 = 32 x 15 = 480
Doing hit and trial;
24 = 16

34 = 81
44 = 256
54 = 625; clearly a4 lies between 256 and 625.
So, a must lie between 4 and 5.

Q.2

1696825007170equals ____________ [TITA, CAT 2020]

Solution:

1696825006973

Find the value of the denominator first as follows:

(log2 4)2 = 4

Using properties of logarithm

log4 8 = log28/ log24 = 3/2

So, (Log48)3 = (3/2)3 = 27/8

Similarly,

log816 = log216/ log2 8 = 4/3

So, (Log816)4 = 256/81

Therefore, denominator becomes 4 x (27/8) x (256/81) = 128/3

So,


1722826622590

= (2x 4 x 8 x 16)/(128/3) = 24

Hence, the correct answer is 24.

Prerequisite:

References for Study (Theory):

  • For Properties go through NCERT class 11.

  • How to Prepare Quantitative Aptitude by Arun Sharma (7th edition)

  • Mission CAT (You-Tube)

References to Study (Practice):

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

Topic: Circular Arrangement questions for CAT (LR)

Type 1: All Persons facing the same direction (Simple)

Directions: Study the following information carefully and answer the questions given below:

Bhuvan, Mohan, Kartik, Hina, Tina, Ramu, David, and Aastha are sitting around a circle facing the centre. Ramu is third to the right of Bhuvan. Hina is second to the right of Aastha who is second to the right of Ramu. Karthik is third to the right of Tina who is not an immediate neighbour of Hina. David is second to the left of Tina.

Q1: Who is to the immediate left of Mohan?

  1. Ramu

  2. Tina

  3. Bhuvan

  4. Kartik

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Q2: Who is the third to the left of Bhuvan?

  1. Bhuvan

  2. Aastha

  3. Kartik

  4. Tina

Q3: Who is the third to the left of Hina?

  1. Astha

  2. Tina

  3. Kartik

  4. Ramu

Solution: From the given information, we can make the following figure.

Tricks: Use the Initials of the name while drawing diagrams.

Draw all possibility diagrams.

1696825007522

Ans 1: (d)

Ans 2: (b)

Ans 3: (b)

Type 2: Half are Males and Half are females

Direction: Study the following information to answer the given questions:

Asha, Binay, Chintu, Daman, Esha, Fatima, Gurmeet and Haresh are sitting around a circular table facing away from the centre where half of them are males and half are females. No two males or two females are immediate neighbours of each other.

Asha is the wife of Haresh. Asha sits third to the left of Esha. Binay sits second to the right of Daman. Daman is not an immediate neighbour of Asha or Esha. Haresh and Chintu are immediate neighbours of each other. Binay is not an immediate neighbour of his wife Fatima.

Q4: Which of the following is true about Gurmeet?

  1. Gurmeet is a male

  2. Gurmeet sits exactly between Fatima and Haresh

  3. Gurmeet sits third to the left of Esha

  4. None is true

Q5: Who sits third to the left of Binay?

  1. Fatima

  2. Haresh

  3. Daman

  4. Asha

Q6: How many people sit between Binay and Fatima when counted in an anti-clockwise direction from Binay?

  1. One

  2. Two

  3. Three

  4. Four

  5. More than four

Solution:

Trick: Notice the important points first

Half are males and Half are females. No two males and no two females are together.

Do not consider a person male or female by their name. Haresh is male (Husband of Asha). Chintu should be female.

All are facing away from the centre:

Left: Anticlockwise

Right: Clockwise

1696825006695

Since Binay sits second to the right of Daman, Daman must be male as Binay is male.

So, male members are Haresh, Binay, Daman, and Esha

And female members are Asha, Fatima, Gurmeet, and Chintu

Since Daman cannot be a neighbour of Esha or Asha, Daman is at position 7, and Binay must be at 5. Haresh will be at 3. So, Chintu will be at 2 and Fatima should be at 8.

Gurmeet will be at 6.

The arrangement will look like

1696825007858

Ans 4: (d)

Ans 5: (a)

Ans 6: (b)

Type 3: Half facing Centre and half facing away from the centre

Direction: Study the following information carefully and answer the questions given below:

Eight persons A, B, C, D, E, F, G and H are sitting around a rectangular table in such a way that two persons sit on each of the four sides of the table. Half of them are facing the centre and the remaining half are facing away from the centre. Persons sitting on opposite sides are exactly opposite to each other.

D faces North (Towards the centre) and sits exactly opposite to H. E is to the immediate left of H. A and G sit on the same side. G is exactly opposite of B who is to the immediate right of C. A is sitting to the left of D.

Q7: From the following, who is facing South?

  1. G

  2. D

  3. H

  4. A

Ans: (C)

Q8: If G is facing centre, who is right of B?

  1. G

  2. C

  3. F

  4. A or F

Ans: (B)

Q9: Which of the following pairs of persons has both the persons sitting on the same side with the first person sitting to the right of the second person?

  1. DF

  2. CB

  3. FC

  4. Cannot be determined

Ans: (D)

Solution:

1696825008161

References for Study (Theory):

  • Verbal and Non-Verbal Reasoning by R S Aggarwal. (Basic)

  • CAT entrance test preparation-iQuanta (YouTube Channel)

References to Study (Practice):

  • Verbal and Non-Verbal Reasoning by R S Aggarwal. (Basic)

  • LRDI for CAT and GMAT by Nishit K Sinha. (Advance)

  • Previous Years CAT Question Papers

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

Topic: To solve cloze tests based on articles, tenses, prepositions etc.

The Cloze test is a combination of fill-in-the-blank and reading comprehension. In this exercise, incomplete words must be filled in using the available options.

A cloze test can be based on the following:

  • Parts of Speech

  • Tenses

  • Articles

  • Prepositions etc

CAT Tips and Tricks to Solve Cloze Tests:

  • Read the passage in the CAT question paper thoroughly to get an idea about the flow of the passage.

  • Write down the key points as you read slowly.

  • Connect (link) the next sentence with the previous sentence. Reading articles, novels, or newspapers can help with this. Thus, cultivate a reading habit.

  • Look at the options to get the best word to fit in and eliminate the most unfit word first.

  • Check for grammatical mistakes, missing articles or prepositions, and other errors.

  • Attempt CAT mock tests.

CAT Exam Practice Questions on Cloze test

VARC CAT questions

You can better understand cloze tests by using the example below.

Direction (Q1-Q5)

Before the giant waves slammed into the coast in India and Sri Lanka, wild and domestic animals....(1)....to know what was about to happen.....(2)....fled to safety. According to eyewitnesses....(3)...., elephants screamed and ran for....(4)....grounds, dogs refused to go outdoors, flamingoes abandoned....(5)....low-lying breeding areas and zoo animals rushed into their shelters.

  1. A. Seeming B. Were Seemed C. Seemed D. Seem

  2. A. We B. Them C. Us D. They

  3. A. Statement B. Accounts C. Explanations D. Narrations

  4. A. High B. Higher C. Highest D. More high

  5. A. our B. their C. theirs D. her

Ans:

(B) Were Seemed

(B) them

(D) Narrations is a suitable word.

(B) Comparative degree of high should be taken.

(B), since Flamingoes is plural.

References for Study (Theory):

  • Advanced English grammar by Wren and Martin

  • CAT Edurav (YouTube Channel)

References to Study (Practice):

Recommended eBooks

Related eBooks & Sample Papers

Free PDFs for CAT 2024 preparation

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Have a question related to CAT ?
Give me link to download cat papers

HELLO,

I am providing you the link below through which you will be able to download the previous 10 years CAT question papers

Here is the link :- CAT Previous year Question papers

Hope this Helps!

Read Complete Answer
D
Devanshi Goyal
21 Oct'25
What are the 3 most important formulas to solve all Profit and Loss questions in CAT?

The three key formulas that can solve almost all Profit & Loss problems are:

  1. Profit/Loss % = (Profit or Loss / Cost Price) × 100%, where CP is the cost price.

  2. Discount % = (Discount / Marked Price) × 100%, where MP is the marked price.

  3. Mark up % = (Mark up Value / Cost Price) × 100%, where CP is the cost price.


These formulas can be adapted for problems involving discounts, marked price, or successive gains/losses.

For detailed examples and variations, you can from the article

https://bschool.careers360.com/articles/profit-and-loss-for-cat-2025-only-3-formulas-needed-for-all-variations

Read Complete Answer
A
avinash.dongre
13 Oct'25
which colleges near Gujarat accept exams CAT XAT SNAP CMAT my percentile for cat are 70 . suggest me according to that situation.

With a 70 percent in CAT Examination, you can go for various B-Schools or private collages. The S. K. Patel Institute of Management in Gandhinagar is an option for those who score 70-80 percent in their CAT examination or The Gujarat Institute of Management (GIM) in Goa with a cutoff of 60-80 percentage. These are the collages you can look for in Gujarat or nearby.

Collage in other regions: BA Colleges Accepting 70-80 Percentile in CAT 2025

Thank You.

Read Complete Answer
A
Amisha Soni
6 Oct'25
The obc ncl certificate i uploaded in my cat application shows my gender wrongly(a mistake from the issued authorities), will my cat application get rejected with this mistake, if not, will i be still considered as obc,as all other details in certificate is correct otherthan than this mistake.

Hello dear candidate,

NO. your application for CAT will not rejected for wrong gender small mistake in the OBC NCL certificate. You will be considered as an OBC candidate.

you just need to get your OBC certificate corrected and need to inform the CAT helpdesk about this error.


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A
Amisha Soni
5 Oct'25
Top mba colleges under 2 lakh budget with exam like cat cmat whichever they are accepting with their cutoff

Hello,

Here are some top MBA colleges in India with fees under Rs. 2 lakh and their exam/cutoff details:

  • SIMSREE, Mumbai – Fee around Rs. 1.3–1.4 lakh for 2 years. Accepts CAT, CMAT, MAH-CET, MAT, ATMA. Cutoff is very high, usually 99+ percentile in CAT/CMAT.

  • PUMBA (Dept. of Management Sciences, Savitribai Phule Pune University) – Fee around Rs. 1.2–1.3 lakh. Accepts CAT, CMAT, MAH-CET, ATMA. Cutoff approx. 75+ percentile in CAT, 90–95+ percentile in CMAT, high scores in MAH-CET.

  • TISS, Mumbai (MA HRM & other management-related programmes) – Fee around Rs. 1.7–1.9 lakh. Accepts CAT for some courses. Qualifying cutoff is around 60–70 percentile, but final selection cutoffs are higher.

These are the main government institutes where the full MBA/PG programme fee is within Rs. 2 lakh. Cutoffs vary slightly each year and by category, but SIMSREE and PUMBA generally need high scores, while TISS has its own process along with CAT shortlisting.

Hope it helps !

Read Complete Answer
P
Prachi Kumari
4 Oct'25
View all

Popular CAT Questions

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 


Read Complete Answer

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


Read Complete Answer

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


Read Complete Answer

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


Read Complete Answer

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


Read Complete Answer

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


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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


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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


Read Complete Answer

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

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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 


Read Complete Answer

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