CAT 2025 Exam Success: Mastering Loans, Installments, Ranking, and Past Tense Made Easy- Day 11

CAT 2025 Exam Success: Mastering Loans, Installments, Ranking, and Past Tense Made Easy- Day 11

Edited By Team Careers360 | Updated on Jun 18, 2025 05:26 PM IST | #CAT

CAT Exam Success: Mastering Loans, Installments, Ranking, and Past Tense Made Easy- Day 11: Based on the updated CAT 2025 exam pattern, we have designed an effective study method to help candidates score competitive marks in CAT 2025 exam. Our approach breaks down the entire syllabus into manageable daily sessions, ensuring thorough preparation over an extended period of time. Previously, we covered Day 10 content, which included solving numerical problems on Simple Interest and Compound Interest, decoding Blood Relations logic, and strengthening English grammar through extensive preparation related to tenses.

This Story also Contains
  1. Quantitative Aptitude For CAT 2025
  2. Logical Reasoning And Data Interpretation:
  3. VARC Topic: -Tenses Part-2 (Past Tense)
  4. Free eBooks for CAT Preparation 2025
CAT 2025 Exam Success: Mastering Loans, Installments, Ranking, and Past Tense Made Easy- Day 11
CAT 2025 Exam Success: Mastering Loans, Installments, Ranking, and Past Tense Made Easy- Day 11

We now present Day 11 of our CAT 2025 preparation roadmap. In this article of career360, you will find comprehensive CAT 2025 time management techniques for handling instalment questions within Simple Interest topics, along with commonly appearing question formats that frequently challenge CAT aspirants. We encourage all CAT 2025 aspirants to follow our carefully crafted 60-day study timeline, which provides a systematic flow and organised schedule for your preparation. This structured approach ensures detailed coverage of all critical topics while maintaining steady progress toward your goal.

Quantitative Aptitude For CAT 2025

Simple interest(SI) Instalments

Loans and instalments are key topics in financial mathematics and an essential tool to borrow money for various purposes, such as purchasing a home, financing education, or expanding a business.

When you take a loan from an agency and repay it in instalments after regular intervals, the amount returned at each interval is an instalment.

CAT Questions on Instalments and CAT Questions on Loans are categorised based on whether the interest rate is Simple Interest or Compound Interest.

We need to have a clear idea about how to calculate the Simple Interest or Compound Interest of a sum of money.

Simple interest = (Principal × Rate × Time) / 100

Compound interest = Principal × [1 + (Rate / 100)]Time – Principal

Suppose Anil purchased a television worth Rs. 18000 paying Rs. 10000 cash down payment, and every month a fixed instalment has to be paid for the next 6 months, where interest is charged at 10% per month on simple interest.

You need to calculate the EMI value.

First, you need to calculate the debt (the Amount due after 6 months if paid in a single time)

Principal = 18000 – 10000 = Rs. 8000

Debt = 8000 + (8000 × 10 × 6)/100 = Rs. 12800

First instalment after 1st month = Rs. 100x (Let)

Amount due after 1 month = Rs. 12800 – 100x – 100x × 5 × 10/100 = Rs. 12800 – 150x

(The instalment amount and Interest for 5 months have to be subtracted from the amount due since 100x is returned after one month and interest is added for 6 months in the original amount due)

Amount due after 2 months = Rs. 12800 – 150x – 100x – 100x × 4 × 10/100

= Rs. 12800 – 290x

(The instalment amount and Interest for 4 months have to be subtracted from the amount due since 100x is returned after two months, and interest is added for 6 months in the original amount due)

Amount due after 3 months = Rs. 12800 – 290x – 100x – 100x × 3 × 10/100

= Rs. 12800 – 420x

(The instalment amount and Interest for 3 months have to be subtracted from the amount due since 100x is returned after three months and interest is added for 6 months in the original amount due)

Amount due after 4 months = Rs. 12800 – 420x – 100x – 100x × 2 × 10/100

= Rs. 12800 – 540x

(Instalment amount and Interest for 2 months have to be subtracted from the amount due since 100x is returned after four months, an interest is added for 6 months in the original amount due)

Amount due after 5 months = Rs. 12800 – 540x – 100x – 100x × 1 × 10/100

= Rs. 12800 – 650x

(The instalment and Interest for 1 month have to be subtracted from the amount due since 100x is returned after five months, and interest is added for 6 months in the original amount due)

Amount due after 6 months = Rs. 12800 – 650x – 100x

(The instalment amount has to be subtracted from the amount, but interest is not subtracted since 100x is returned after six months and interest is added for 6 months in the original amount due)

After payment of all instalments, the amount due = 0

So, Rs. $12800 – 650x – 100x = 0$

⇒ $x = 17.067$

⇒ $100x =$ Rs. $1706.7$

Instalments At Simple Interest

To find the value of the annual instalment with Simple Interest, we use the following formula:

Annual instalment = $\frac{100A}{100T} + \left[\frac{RT(T - 1)}{2}\right]$

Where A is the total amount to be paid in T years with R% annual interest.

Instalments At Compound Interest

Let a person take a loan from an agency at r% per annum compounded annually and pay the loan in equal instalments for n years.

Then, the value of each instalment can be calculated by the given formula:

Amount due after n years = $P \left(1 + \frac{r}{100}\right)^n$

If paid in instalments, the amount due must be equal to

$P \left(1 + \frac{r}{100}\right)^n = X \left(1 + \frac{r}{100}\right)^{n-1} + X \left(1 + \frac{r}{100}\right)^{n-2} + X \left(1 + \frac{r}{100}\right)^{n-3} + \cdots + X \left(1 + \frac{r}{100}\right)$

Where, X = Instalment value

Questions and MCQs on Loans and advances , and CAT questions on instalments (SI and CI) can be divided into sub-categories during CAT preparation:

  • Questions that involve calculations of the instalment value.

  • Questions that include calculations of the interest rate charged.

  • Questions that involve calculations of debt.

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We need to further study topics such as “instalment loans for bad credit”, “instalment loan calculator”, and “loan instalment payment” to delve deeper into this chapter. Now we will practice some instalment loan example questions to better understand the topic.

CAT 2025 Model Questions And Answers From CAT Previous Year Papers

Question 1. John borrowed Rs. 2,10,000 from a bank at an interest rate of 10% per annum, compounded annually. The loan was repaid in two equal instalments, the first after one year and the second after another year. The first instalment was the interest of one year plus part of the principal amount, while the second was the rest of the principal amount plus due interest thereon. Then each instalment, in Rs., is:

[CAT Question Paper 2018, TITA]

  1. Rs. 121000 (Correct answer)

  2. Rs. 100000

  3. Rs. 120000

  4. Rs. 125000

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Solution:

P = 210000, n = 2, r = 10

Let X be the value of the instalment each year.

Using,

$P \left(1 + \frac{r}{100}\right)^n = X \left(1 + \frac{r}{100}\right)^{n-1} + X \left(1 + \frac{r}{100}\right)^{n-2} + \cdots + X \left(1 + \frac{r}{100}\right)$

$\Rightarrow 210000 \left(1 + \frac{10}{100}\right)^2 = X \left(1 + \frac{10}{100}\right)^1 + X$

$\Rightarrow 210000 \cdot \frac{121}{100} = X \cdot \frac{11}{10} + X$

$\Rightarrow 2100 \cdot 121 = X \cdot \frac{21}{10}$

$\therefore X = 121000$

Hence, the correct answer is Rs. 121000.

Question 2. Rahul takes a loan of Rs 150000 at an interest rate of 20% compound interest, which is compounded annually. He agrees to pay three equal instalments in three years, one instalment at the end of every year. Find the value of each instalment.

[CAT Question Paper - sample paper]

  1. Rs. 71209 (Correct answer)

  2. Rs. 68349

  3. Rs. 76484

  4. Rs. 72904

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Solution:

P = 150000, n = 3, r = 20

Let X be the value of the instalment each year.

Using,

$P \left(1 + \frac{r}{100}\right)^n = X \left(1 + \frac{r}{100}\right)^{n-1} + X \left(1 + \frac{r}{100}\right)^{n-2} + X \left(1 + \frac{r}{100}\right)^{n-3} + \cdots + X \left(1 + \frac{r}{100}\right)$

$\Rightarrow 150000 \left(1 + \frac{20}{100}\right)^3 = X \left(1 + \frac{20}{100}\right)^2 + X \left(1 + \frac{20}{100}\right) + X$

$\Rightarrow 150000 \cdot \frac{216}{125} = X \cdot \frac{36}{25} + X \cdot \frac{6}{5} + X$

$\Rightarrow 150000 \cdot \frac{216}{125} = X \cdot \frac{91}{25}$

$\therefore X = 71209$

Hence, the correct answer is Rs. 71209.

Question 3: What is the amount (in INR) of debt that will be discharged in 6 equal instalments of INR 800 each, if the debt is due in 6 years at 5% per annum?

[CAT Question Paper - sample paper]

  1. Rs. 6600

  2. Rs. 7500

  3. Rs. 8000

  4. Rs. 5400 (Correct answer)

Solution:

Given:

Instalment = INR 800

Rate, r = 5%

Time, t = 6 years

Let the debt be x.

Instalment = (Debt × 100) / [100t + {r × t(t-1)} / 2]

⇒ 800 = 100x / [100 × 6 + {5 × 6(6-1)}/2]

⇒ 800 = 100x / 675

∴ x = 5400

Hence, the correct answer is Rs. 5400.

Prerequisite For CAT Questions On Instalments

To prepare for this topic for the CAT exam, students must know of

  1. Fractions and percentages at fingertips.

  2. Successive Changes

  3. Simple Interest and Compound Interest

References to Study (Theory)

  • Quantitative Aptitude for CAT by N.K. Sinha

  • Dinesh Miglani Tutorials for CAT, IPM, CLA, T SSC, BANK

References to Study (Practice)

  • Arun Sharma: A Quantitative Approach for CAT (7th Edition)

  • https://iim-cat-questions-answers.2iim.com

  • CAT previous year papers and CAT sample paper

Logical Reasoning And Data Interpretation:

Ranking (LR)

Ranking is the process of determining the position or place of a person or thing based on comparison and other information given in the questions for the CAT exam.

It is one of the most essential parts of Logical Reasoning for the CAT exam.

For some information about this topic, students can study “Ranking logical reasoning pdf”, “order and ranking Logical Reasoning ” and “Ranking logical reasoning questions”.

Ranking: Question Types Asked In the CAT Exam

There are many different types of questions asked in the CAT exam based on the ranking.

Some of them are:

  1. The position or ranking of the person is asked from the bottom, left, right, or top.

  2. Questions based on the swapping of positions.

  3. Questions are based on the number of persons between two positions.

  4. Questions based on finding the total number of objects or persons.

Approaches And Tips To Solve The CAT Question Paper On Ranking

  1. The total number of persons in a row = (sum of positions of the same person from both sides) – 1
    Example: Sunil is 16th from either end of a row; the total number of persons in the row = 16 + 16 - 1 = 31

  2. If the position of a person/ object from one end is n, and the total number of persons/objects in the row is m; then the position of the same person from the other end will be (m - n + 1).

  3. While calculating the number of places between two persons, cases of overlapping and non-overlapping should be treated differently.

  4. Analyse the given information in the question by thorough reading.

  5. Use visualisation/imagination skills.

  6. Try to draw all the possibilities and eliminate the wrong ones.

Questions On Ranking (LR) From CAT Previous Year Papers

These questions can help you build the concept of ranking: (Based on the CAT exam):

Question 1. In a queue, Antara is 19th from the front, while Manthara is 28th from the back, and Lolita is just in the middle of the two. Consider that there are 50 people in the queue. What position does Lolita occupy from the front? [CAT sample paper]

  1. 20th

  2. 19th

  3. 18th

  4. 21st (Correct answer)

Solution:

Total persons sitting between Antara and Manthara = 50 – 19 – 28 = 3

Lolita is in the middle of the two; So, Antara and Lolita have just one person between them. Therefore, Lolita must be on the 21st from the front.

Question 2. In a row of boys, Ritesh and Manish occupy the 7th place from the right end and the 9th place from the left end, respectively. Now, if they interchange their places, Ritesh and Manish occupy 25th place from the right and 27th place from the left, respectively. How many boys are present in the row?

  1. 35

  2. 26

  3. 33 (Correct answer)

  4. Cannot be determined

Solution:

Ritesh's Position from the right end = 7; Now Manish occupies the position of Ritesh, which is 27th from the left.

So, total number of boys = 7 + 27 – 1 = 33

Question 3: Five friends, A, B, C, D, and E, are sitting in a row facing north. A is to the immediate right of B and immediate left of C. D is to the immediate right of E and immediate left of B. Who is sitting in the middle?

  1. A

  2. B

  3. C

  4. D

Solution:

From the given conditions:

  • A is immediately right of B → B, A, C (because A is immediately left of C)

  • D is immediately correct of E and immediately left of B → E, D, B, A, C.

Therefore, B is in the middle.

Question 4: In a class of 40 students, there are 10 boys and 30 girls. Ramesh is ranked 12th when students are arranged in descending order of marks. Among the boys, he is ranked 7th. How many girls are ranked above him?

  1. 4

  2. 5

  3. 6

  4. 7

Solution:

Ramesh is ranked 12th overall and 7th among the boys.

So, there are six boys ranked higher than him.

Therefore, the number of girls ranked above him is 11 - 6 = 5

Prerequisite For CAT Preparation:

To prepare the questions based on the Ranking for CAT 2025, a student must know:

  • Basic Additions and Subtractions

  • Sequence and Series

References to Study (Theory):

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

  • 2IIM CAT Preparation (YouTube Channel)

References to Study (Practice):

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

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

  • CAT previous year papers and CAT sample paper

VARC Topic: -Tenses Part-2 (Past Tense)

As discussed in the previous article, tenses are divided into three types for easy CAT preparation. Today, we will discuss the Past Tense.

The past tense is used to describe the event that has occurred in the Past.

Past Tense can further be divided into four categories to indicate the action as follows:

  • Simple Past Tense/ Past Indefinite Tenses: A habitual action in the past. The action has already taken place in the past, but the exact time of the the action is not definite.
    Formula: Subject + Verb (Past tense) + Object
    Example: Geetha studied at the Indian Institute of Management (IIM) Ahmedabad.

  • Past Perfect Tense: It refers to an action that happened before another event.
    Formula: Subject + Had + Verb (Past participle) + Object
    Example: Kushal noticed that Barsha had left his mobile behind.

  • Past Continuous Tense: Continuous action in the past, that happened for some time.
    Formula: Subject + Was/ Were + Verb (Present participle) + Object
    Example: Sneha was eating pizza.

  • Past Perfect Continuous Tense: denotes an action that was in progress before another event in the past.
    Formula: Subject + Had been + Verb (Present participle) + Object
    Example: I had been preparing for this examination for five months.

Students can practice with simple past tense worksheets and read simple past tense formulas to gain a better understanding of basic past tense examples.

CAT questions on Past tense and Past participle from the Previous year's papers

Question 1. I met the director yesterday, and he assured me that he will help if you ask him. [Sentence correction]

[CAT previous year papers]

  1. I met the director yesterday, and he assured me that he will help if you ask him.

  2. Met the director yesterday, and he assured me that he would help if you asked him.

  3. Met the director yesterday, and he assured me that he would help if you asked him.

  4. No correction required

Solution:
The correct answer is Option B.

With ‘yesterday’, the Past indefinite tense should be used. So, option A is incorrect.

Option (c) is wrong because in “he will help if you ask him”, the verb 'will help' is in the future, which is the result of a condition ‘if you ask’, and both cannot be in the future.

Question 2. The Chief Proctor entered the classroom to see what the students_________. [Fill in the blanks]

  1. Go had been doing

  2. Went, was doing

  3. Gone, had been doing

  4. Went, we're doing

Solution:

The correct answer is option D.

Past indefinite with past continuous tense (For progressive work) is to be used.

Option A is wrong because “The chief proctor” is singular. So “goes” is appropriate for the past form.

Option B is wrong because “students” is plural, so “were doing” should be appropriate.

Option C is wrong because the past participle form of a verb alone can’t be used. There has to be a has/have/had.

Prerequisite For Tenses:

  • Basic Knowledge of Verbs and their forms.

  • Knowledge of the use of helping verbs (Was/Were/had/had been)

  • Knowledge of Nouns/Pronouns.

Tips For Error Correction In Past Tenses:

  • Learn the rules of all types of past tenses.

  • Read good Newspapers that use correct grammar (like The Hindu).

  • Do basic exercises on the past tense.

  • Attempt Mock-Tests.

References to Study (Theory):

  • How to Prepare for Verbal Ability & Reading Comprehension for CAT by Meenakshi Upadhyay and Arun Sharma (9th Edition)

  • Learn English with Rebecca · engVid (YouTube Channel)

  • Class (VI-VIII) NCERT for basic grammar rules.

References to Study (Practice):

Free eBooks for CAT Preparation 2025

300+ Phrasal Verbs List for CAT Exam, Types With Examples & Practice Questions


Click here to download

CAT Quantitative Aptitude Questions with Answers PDF

Click here to download

Practice, stay focused, and wait for the CAT strategy to prepare for Day 12 (Practice Set-3) tomorrow.

Thank You

All the best.

Frequently Asked Questions (FAQs)

1. What is Simple Interest (SI) and how is it calculated?

Simple Interest is the interest calculated on the principal amount over a period of time at a fixed interest rate.

The formula to find the simple interest is:

Simple interest = (Principal × Rate × Time) / 100

2. How do instalment questions relate to Simple Interest in the CAT exam?

Instalment questions often involve calculating the amount to be paid periodically to repay a loan or principal amount over a certain period with interest.

These questions combine concepts of Simple Interest and the instalment payment formula.

Also, compound interest is used if the instalments are structured to be paid in compound interest.

To find the value of the annual instalment with simple interest, we use the following formula:

Annual instalment$ = 100A / 100T + [RT(T – 1)/2]$

Where A is the total amount to be paid in T years with R% annual interest.

3. When should I start taking mock tests?

Begin mock tests after completing 40-50% of the syllabus. Take 2-3 mocks weekly initially, increasing to daily mocks in the final month. Always analyse performance thoroughly.

4. How do the different past tense forms function in reading comprehension passages?

Simple past tense: It describes the completed events in the past.

Past continuous tense: It provides background details or describes ongoing past actions.

Past perfect tense: It indicates actions completed before another past action.

Past perfect continuous tense: It describes actions that were ongoing up to a certain point in the past.

Understanding the types of past tense will help us to understand the timeline of comprehension and flow of events.

5. How important are previous year question papers for CAT 2025?

Extremely important. Solve at least 10-15 years of previous papers. They help understand exam patterns, difficulty levels, and frequently asked question types.

6. What is the recommended study approach for CAT 2025?

Follow a structured 60-day study timeline, with daily sessions that systematically cover all three sections. Break down the syllabus into manageable daily portions for comprehensive preparation.

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Questions related to CAT

Have a question related to CAT ?

Hi aspirant,

The Common Admission Test (CAT) is a highly competitive exam, and practicing sample questions is essential for efficient preparation.

CAT SAMPLE PAPERS

Kindly refer to the link attached above for the sample papers.

All the best!


Dear Aspirant

Your rank at eleven thousand eight hundred eighty seven under the OBC reservation has a strong chance for admission to the Computer Science Engineering (CSE) program at one of the three CUSAT campuses The exact seat depends on opening and closing ranks for CSE in each campus and the round of counselling

CUSAT campuses offering BTech CSE
• School of Engineering Thrikkakkara – flagship campus in Kochi
• CUCEK Kuttanad – second campus in Alappuzha district
• Lakeside campus does not offer CSE so only two campuses are relevant

Previous closing ranks under OBC quota for CSE
• Thrikkakkara campus closed near rank one thousand
• CUCEK Kuttanad closed around six thousand two hundred in 2024

Your likelihood with rank 11887
• Thrikkakkara campus is unlikely as CSE closes much lower than your rank
• CUCEK has potential since closing ranks in recent years have extended into the high six thousands
• Seats may remain open in later rounds so you may gain admission at CUCEK

Other CSE seat possibilities under OBC
• School of Engineering might open seats in spot or mop up rounds if higher ranked students do not confirm
• CUCEK will likely accept OBC candidates up to rank one two thousand to thirteen thousand
• Keep an eye on real time counselling as closing ranks may shift downward with seat cancellations

Alternative branches and campuses
If CSE is not available at CUCEK you may consider similar branches like Electronics and Communication Engineering Information Technology Mechanical Engineering and Civil Engineering closing beyond twelve thousand under OBC
You may also add interdisciplinary programs or lateral entry courses available in Lakeside or Thrikkakkara depending on available seats

Counselling strategy recommendations
• Register and fill choices on the CUSAT admissions portal in all counselling rounds
• Place CUCEK CSE as a high preference followed by ECE or IT at Thrikkakkara or CUCEK
• Monitor round wise closing ranks through the portal or official communications
• Participate in mop up and spot rounds where seats are more likely available near your rank

Key considerations
• Cutoffs decrease between rounds allowing more opportunities in later phases
• OBC candidates compete within their category reducing competition compared to open rankings
• CUCEK is your best target campus for CSE at your rank under OBC
• You must have all documents ready like previous marksheet category certificate and CUSAT admit card for verification

Let me know if you would like a suggested list of choices tailored to your academic interest or want help tracking counselling round data

Hi aspirant,

  1. The Common Admission Test ( CAT ) is a highly competitive , computer - based entrance exam .
  2. CAT is administered annually by one of the IIMs for admission to its postgraduate management programs (MBA) as well as those of multiple other top business schools in India .
  3. It primarily assesses candidates' VARC , DILR , and QA skills.
  4. The exam lasts 120 minutes , with 40 minutes allotted to each section .
  5. The questions are a mix of multiple choice questions with negative marking for bad responses and type-in-the-answer questions with no negative marking .
  6. Scoring is based on a raw score , which is then normalized across exam slots to account for differences in difficulty , yielding a scaled score and a percentile that represents a candidate's performance in comparison to other test takers .

CAT 2024 Question Paper With Solutions

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

All the best!

Hi aspirant,

  1. In general, PUMBA (Pune University's Department of Management Sciences) requires a higher CAT percentile, usually between 94 and 96.
  2. Nevertheless, final selection is based on a comprehensive process that includes your CAT score (which usually carries 50% weightage), performance in the Group Discussion (GD) and Personal Interview (PI) rounds (30% weightage), academic record (10% weightage), and work experience (10% weightage).
  3. Even though your CAT score is strong, a strong performance in the subsequent selection rounds will be essential for admission.
  4. It is recommended to contact the institution directly for latest and up-to-date information.

PUMBA MBA

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

All the best!

Hi aspirant,

  1. Vadodara is an MHT CET exam center located outside of Maharashtra .
  2. This makes it easier for Gujarati applicants to take the exam.
  3. When completing your MHT CET application form, you will have the option of selecting your chosen exam centers , including those situated outside of Maharashtra.

MHT CET Exam Centres 2025

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

All the best!

View All

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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