CAT Exam - Simple Interest and Compound Interest Questions & Answers, LR & DI | Day 10

CAT Exam - Simple Interest and Compound Interest Questions & Answers, LR & DI | Day 10

Edited By Team Careers360 | Updated on Sep 18, 2024 05:53 PM IST | #CAT

In our previous article, we covered the CAT Exam strategy for preparing Profit and Loss , Data Interpretation (Miscellaneous), and improving reading skills for Day 9 of your CAT preparation. We also included tips on tackling Simple Interest and Compound Interest questions.

Now, on Day 10 of our CAT 2024 preparation series, we’ll be focusing on strategies for Simple Interest and Compound Interest questions, along with useful concepts and tricks.

Stick to our 60-day CAT exam preparation schedule to stay organized and on track. Simple Interest and Compound Interest questions frequently appear on the exam, and many students struggle with them. We've put together a guide to help you master these types of questions and improve your skills for the CAT.

This Story also Contains
  1. Part 1: Quantitative Aptitude For CAT 2024
  2. Part 2: Logical Reasoning And Data Interpretation
  3. Part 3: VARC ( Grammar tenses for CAT Exam)
  4. Free PDFs for CAT 2024 preparation
CAT Exam - Simple Interest and Compound Interest Questions & Answers, LR & DI | Day 10
CAT Exam - Simple Interest and Compound Interest Questions & Answers, LR & DI | Day 10

Part 1: Quantitative Aptitude For CAT 2024

Topic: Simple Interest And Compound Interest Concept

Simple Interest and Compound Interest are two of the most basic concepts in mathematics, here we will discuss, what is simple interest and compound interest, simple interest and compound interest for cat, Simple Interest and compound interest formulas, the difference between simple interest and Compound Interest formulas, simple interest and compound interest questions etc.

Simple Interest

Simple interest is defined as the interest that is calculated on the principal amount only, it does not take into account the interest of interest.

For example, if you give your friend Rs. 1000, after 3 years he returned Rs. 1300.
You have received Rs. 300 more. This Rs. 300 is the simple interest for 3 years at the rate of 10% per annum.

The simple interest (SI) is calculated by multiplying the principal with the rate of interest and time (in years). The formula is:
SI = (P × R × T) / 100
Where, P = Principal Sum
R = rate of interest at which sum is borrowed or lent
T = time period (the duration for which money is borrowed or deposited)
Alternatively,
Calculate the interest for 1 year and multiply it by the time for which interest is to be calculated.

Compound Interest

Compound interest is the most common interest type that we come across in our daily lives. It depends on both the principal and the total interest gathered before. When calculating the Compound Interest we add the previous interest amount with the principal and take that sum as the new principal.
We can understand this by following the example:
Let Rs 1000 be lent at the rate of 20% per annum compounded annually for 3 years.
Principal = Rs. 1000
Year - Wise Interest
1st year: 20% of 1000 = 200
2nd year: 20% of (1000 + 200) = 200 + 40 = 240
3rd year: 20% of (1200 + 240) = 240 + 48 = 288
Total Interest for 3 years = 200 + 240 + 288 = Rs 728.
Alternatively, we can use the formula
A = P×(1 + R/100)n
Where,
A = Amount
P = Principal
R = Rate of interest per annum compounded annually
n = Number of years
If the rate is compounded half yearly: the rate is to be taken per six months, and the time will be a multiple of half years.
Similarly, we can modify the rates and time if interest is compounded quarter yearly, monthly etc. or we can use a general formula of compound interest:
A = P(1+r/n)nt, where A = amount, P = principal, r = rate of interest in decimal, t = time in years, n = number of times interest is compounded in a year.

Types of problems

Simple Interest Compound Interest CAT Questions can be divided into:

  • Questions that involve calculations of Simple Interest

  • Questions that involve calculations of the rate of interest (Principal, time and Simple interest are given).

  • Questions that involve calculations of time (Principal, Rate of interest and Simple interest are given).

  • Questions that involve calculations of compound interest, such as if the rate is compounded annually, half-yearly, monthly, or quarterly.

  • Amount and Principal are given; Time or rate will be asked.

  • Questions based on the difference between SI and CI.

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Simple Interest Compound Interest CAT Questions From CAT Previous Year Papers

Q.1.
A person invested a total amount of Rs. 15 lakh. A part of it was invested in a fixed deposit earning 6% annual interest, and the remaining amount was invested in two other deposits in the ratio of 2 : 1, earning annual interest at the rates of 4% and 3%, respectively. If the total annual interest income is Rs. 76,000 then the amount (in Rs. lakh) invested in the fixed deposit was [CAT Question Paper 2019, TITA] (Simple interest CAT questions)

  1. 9 lakh

  2. 10 lakh

  3. 9.5 lakh

  4. 8 lakh

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Answer: (1) 9 lakh

Solution:
Let's say the amount invested in two other schemes are 200x and 100x at 4% and 3% respectively.
So, Amount invested in a fixed deposit = 1500000 – 300x
Two other schemes are 200x and 100x at 4% and 3%, respectively.
Total annual interest = 6% of (1500000 – 300x) + 4% of 200x + 3% of 100x = 76000
⇒ 90000 – 18x + 8x + 3x = 76000
⇒ x = 2000
Therefore, the amount deposited in a fixed deposit = 1500000 – 600000 = 900000 = 9 lakh
Hence, the correct answer is option (1).

Q2.
Amala, Bina, and Gouri invest money in the ratio of 3: 4: 5 in fixed deposits having respective annual interest rates in the ratio of 6: 5: 4. What is their total interest income (In Rs) After a year, will Bina's interest income exceed Amala's by Rs 250? [CAT Question Paper 2019 slot-1]

  1. 6000

  2. 7250

  3. 6350

  4. 7000

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Answer: (2) 7250

Solution:
Ratio of interest of Amala, Bina, and Gouri = (3 × 6) : (4 × 5) : (5 × 4) = 9 : 10 : 10
The interest income of Amala, Bina, and Gouri can be taken as 9x, 10x, and 10x, respectively.
Total income = 29x
Difference between interest income of Bina and Amala = 250 = (10x – 9x) = x
Therefore, Total income from interest = 29 × 250 = 7250
Hence, the correct answer is option (2).

Q.3.
A sum was doubled with a 12.5% rate of simple interest per annum. The time taken for that sum to be doubled is:

  1. 8 (½) years

  2. 8 years

  3. 12 years

  4. 12 (½) years

Answer: (2) 8 years

Solution:
Let the principal be P.
Sum = 2P
Let the time be T.
Therefore, Simple interest = Amount – Principal = 2P – P = P
We know, Simple interest = (Principal × Rate × Time) / 100
⇒ T = (P × 100) / (P × 12.5)
⇒ T = 1000 / 125
So, T = 8 years
Hence, the correct answer is option (2).

Q.4.
A sum of money becomes 1.331 times in 3 years as compound interest. The rate of interest is:

  1. 8%

  2. 7.5%

  3. 10%

  4. 50%

Answer: (3) 10%

Solution:
Assuming the principal is Rs. 1000, the amount will be Rs. 1331.
When compounded annually, A = P×(1 + R/100)T, where A is the total amount, P is the principal amount, R is the rate of interest per annum, and T is the time in years.
So, 1331 = 1000(1 + R/100)3
⇒ 1331/1000 = (1 + R/100)3
⇒(11/10)3=(1 + R/100)3
⇒ 11/10 = 1 + R/100
⇒ R/100 = 1/10
⇒ R = 10%
Hence, the correct answer is option (3).

Q.5.
B borrows Rs. 5000 from A at 6% p.a. simple interest and lends it to C at compound interest of 10% p.a. If B collects the money back from C after 2 years and repays A, the profit made by B in the transaction is ______.

  1. Rs. 1050

  2. Rs. 450

  3. Rs. 600

  4. Rs. 500

Answer: (2) 450

Solution:
At Simple Interest, B borrows from A.
Principal = Rs. 5000
Rate = 6%
Time = 2 years
At Compound Interest, B lends to C.
Principal, P = Rs. 5000
Time, n = 2 years
Rate, R = 10%
We know,
Simple interest = (P× R × T)/100
Total amount = P×(1 + R/100)n
Simple interest = (5000 × 2 × 6)/100 = Rs. 600
Total amount to be paid back to A = 5000 + 600 = Rs. 5600
B lends to C at Compound interest.
Total amount = 5000(1 + 10/100)2 = 5000 × 1.21= Rs. 6050
So, the profit made by B = Rs. 6050 – Rs. 5600 = Rs. 450
Hence, the correct answer is option (2).

Prerequisite Before Practising Simple Interest Compound Interest CAT Questions
To prepare this topic for the CAT exam and to practice compound interest tough questions, students must be well aware of the following:

  • Fractions and Percentage on their fingertips.

  • Vedic Maths (Simplification and Approximation)

  • Ratios

Simple Interest And Compound Interest Tricks For CAT

  • Use the concept of fractions and Percentage in SI and CI

  • Use the concept of successive change in the problems of Compound Interest .

  • Difference between SI and CI for two cycles = P(r/100)2.

  • Difference between SI and CI for three cycles = P(r/100)2 x (3 + r/100).

  • If a sum of money becomes x times in n years at the simple rate of interest, then the rate is calculated as R = (x - 1) x 100/n

  • Practice simple interest questions and Compound Interest questions ( discussed in the introduction) separately.

References To Study (Theory) Simple Interest And Compound Interest Concept

  • Quantitative Aptitude for CAT by N K Sinha

  • 2iim Online Learning Classroom

References To Study (Practice) Simple Interest Compound Interest CAT Questions

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

  • https://insideiim.com/best-resources-cat-exam-preparation

  • CAT's previous year's papers

Part 2: Logical Reasoning And Data Interpretation

Topic: Blood Relation (LR)

Blood Relation is one of the most important parts of LR. A blood relationship is defined as any relationship formed by birth or marriage. Here we will discuss blood relation in Logical Reasoning , types of blood relation in logical reasoning, what is Blood Relation in logical reasoning, blood relation in logical reasoning questions etc. Let us start with the types of blood relations:

  • Birth Relations (paternal or maternal): Mother, Father, Son, Daughter, Brother, Sister etc.

  • Paternal: Relations from the father’s side.

  • Maternal: Relations from the mother’s side.

  • Relations from a marriage: Mother-in-law, father-in-law, sister-in-law etc.

Types Of Blood Relation CAT Questions:

  1. Direct Questions/ Single statement based: Relation between two persons is given indirectly and you have to find the correct relationship.

  2. Puzzled Relation: A set of information is given about the relations, professions, places etc. Using that information, answers have to be determined.

  3. Coded Blood Relation: Relationships in the form of codes are given. For example, A @B means A is the father of B. A#B means B is the father of A etc.

  1. Relationships of mixed blood: Relations of two or more families are involved.

Approaches To Be Learned To Solve CAT Blood Relations Questions

  • Family Tree: Forefathers and mothers serve as the roots of the tree, followed by their children forming the stems of the tree and then grandchildren. It is a visual representation of a family and the most helpful trick to solve the questions of Blood Relation

  • Back-tracking: In the questions of the type of single statement, draw a family tree using the last information first.

  • Elimination of the Wrong option: Most effective in the questions of coded Blood Relation . By using the generation gap and gender identification, wrong options can be eliminated. The gender of a person cannot be determined by their name. A specific notation should be used for females and males while drawing the family tree. Members of the same generation should be represented at the same level.

Blood Relations Questions for CAT That Can Help You Learn: (Based on the CAT Exam)

Direction (Q1- Q2)
In a family, there are seven members- A, B, C, D, E, F, and G. A and B are a married couple, and A is a male member. D is the only son of C’s brother. D is the brother of E and F. G is the head of the family, whose wife died long ago. G has two sons, one of which never got married. There are only three generations in the family.

Q.1.
How is F related to A?

  1. Mother

  2. Sister-in-law

  3. Sister

  4. Daughter

  5. None of these

Ans: (4) Daughter

Q.2.
Who is an unmarried member of the second generation?

  1. C

  2. G

  3. H

  4. Cannot be determined

  5. None of these

Ans: (1) C

Solution:
G (male, since he had a wife who died long ago) is the head of the family and has two sons.
A, who is the brother of C (since D is the son of A and D is the brother of E and F), the only possibility of G’s sons are A and C), is married to B and has a son D.
So, A and C must be in the second generation.
Therefore, D must be the son of A. Also, E and F are sisters of D, and A must be the father of E and F.
C is unmarried since he is the brother of A (G has two sons and A is the brother of C)

Q.3.

Read the following instructions:
P $ Q means Q is the brother of P;
P * Q means Q is the mother of P;
P x Q means P is the son of Q
If the code of a family is A * B $ C x D, who is the father among them?

  1. D

  2. B

  3. C

  4. A

Answer: (1) D

Solution:
A * B means B is the mother of A and hence B is the mother in the family.
B $ C means C is the brother of B.
C x D indicates C is the son of D and hence D is the father in the family
D is the father of B and C, and B is the mother of A.
Hence, option 1 is correct.

  1. D

  2. B

  3. C

  4. A

Answer: (1) D

Solution:
A # B means B is the mother of A and hence B is the mother in the family.
B $ C means C is the brother of B.
C x D indicates C is the son of D and hence D is the father in the family
D is the father of B and C, and B is the mother of A.
Hence, option 1 is correct.

Prerequisite Before Solving Blood Relation Questions

To Prepare for Blood Relation, students must have the knowledge of:

  1. Basic family relations

  2. Generation gaps

  3. Relations of in-laws

  4. Basic knowledge of coding

References to Study (Theory):

  • LRDI for CAT and GMAT by Nishit K. Sinha

  • ‘www.catking.in (Web as well as YouTube Channel)

References to Study (Practice):

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

  • CAT's previous year's papers

Part 3: VARC ( Grammar tenses for CAT Exam)

Topic: Tenses Part-1 ( Present Tenses)

Tenses are of three types: present tense, past tense, and future tense.
Tenses are the most common area of error in English. So, we have to prepare tenses well.
Here we will discuss tense in English grammar, present tense exercises, present tense examples, present tense worksheets etc. Three easy steps to solve the problems that involve errors in the present tense:

  • Learn the most common errors

  • Spot the errors

  • Correct the errors

Present Tense:

The present tense describes an action going on in the present time. The present tense can further be divided into four categories to indicate the action as follows:

Simple Present Tense/ Present Indefinite Tenses: denotes continuous action.

Example: Ganesh sits on this chair.

Present Perfect Tense: denotes an action that has been completed.

Example: Rohit has gone to school.

Present Continuous Tense: denotes an action that is happening in the present time.

Example: Seema is drinking tea.

Present Perfect Continuous Tense: denotes an action that occurs throughout a period.

Example: Seema has been going to school.

Questions On Present Tense From CAT Previous Year Papers

Q.1.
Prem Chand ……… novels that are appealing to people of all ages.

  1. Wrote

  2. Had written

  3. Had been writing

  4. Has written

Answer: (4) Has written

Explanation: The work is done but its effect is still present as people still appreciate his novels.

Q.2.
Roji, I ……… seen you for a long time, how ………?

  1. Had not, are you

  2. Have not, have you been

  3. Did not, had you been

  4. Have not, are you been

Answer: (2) Have not, have you been

Explanation: Not seeing Roji, is the action that has been completed in the present time.

Q.3.
She ……… theatre dramas. ……… any recent play?

  1. Loves watching, have you watched

  2. Love to watching, did you watched

  3. Is loving, have you been watching

  4. Loves watching, had you seen

Answer: (1) Loves watching, have you watched

Explanation: ‘Watching dramas’ is the continuous action in present time

With the present indefinite, past perfect cannot be used. So, (4) is wrong and (1) is correct.

Q.4.
Naina and Palak ……… to our house to play the indoor games with us.

  1. Will have been coming

  2. Had been to come

  3. Are coming

  4. Come

Answer: (3) Are Coming

Explanation: ‘Are coming’ is the correct answer as it describes the expected event in the near future.

Prerequisite:

  1. Basic knowledge of verbs and helping verbs.

  2. Basic knowledge of parts of speech.

Tips For Error Correction In Present Tenses:

  1. Learn the rules of all types of present tenses.

  2. Read newspaper articles.

  3. Practice error-based questions on tenses.

  4. 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)

  • Preply.com (Web)

References to Study (Practice):

  • engvid.com (Web)

  • Oxford Practice Grammar (sixth edition)

  • Practice on sample question papers.

Free PDFs for CAT 2024 preparation

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Questions related to CAT

Have a question related to CAT ?

With a 98.55 percentile and rank of 22325 in JEE Main, your son has a reasonable chance of getting into a CSE or related branch at DTU (Delhi Technological University), especially if he's a Delhi region candidate.

DTU's CSE cutoff for general category candidates outside Delhi typically falls within the 10,000-12,000 rank range. A rank of 22325 might be a little high for CSE, but not impossible. It depends on the specific year's competition and seat availability.

You can predict the college here -:

https://www.careers360.com/college-predictor

Hello there,

With a CRL rank of 1,53,000 and an EWS rank of 23,000 , it might be challenging to get a seat in CVR College of Engineering (CVRCE) for B.Tech through JEE Mains in the B Category (management quota) based on the typical cutoffs.

However, here are some considerations:

  1. B Category (Management Quota) : Generally, management quota seats may have a higher cutoff compared to regular seats, but they are still often more flexible.

  2. Specific Branch : You might have better chances in less competitive branches compared to high-demand ones like CSE or ECE . Branches like Mechanical , Civil , or Electrical might have slightly lower cutoffs.

    Recommended Steps:

  • Check Previous Cutoffs : Look at the last year's cutoff trends for the EWS category in CVR College of Engineering.

  • Direct Admission or Management Quota : You can inquire about direct admission or management quota options if you're considering alternatives.

  • Counseling and Choice Filling : During the counseling process, you can list CVRCE as one of your preferences to see if any seat becomes available.

It's best to contact the college directly or check their official admission guidelines for more precise information regarding your rank and the available options.



I would recommend you to use JEE Mains College Predictor Tool by Careers360 to get the list of possible colleges you can get with your rank or percentile.


I hope this answer helps you. If you have more queries, then feel free to share your questions with us, we will be happy to assist you.

Thank you, and I wish you all the best in your bright future.



Thanks for the info! Let's break this down to see your chances in KCET Engineering :

Your Details:

  • KCET Score (Expected): 60–70 marks

  • Board Marks (PCM): 205 out of 300

  • Category: CAT-1 (reserved)

  • Exam: KCET 2025

  • Stream: Engineering (PCM)

KCET Rank Prediction:

  • With 60–70 marks in KCET and 205 in boards , your KCET engineering rank may fall roughly between 35,000 to 50,000 (approx, varies by year).

  • CAT-1 category gives you reservation benefit , which improves your chances significantly.

Colleges You Might Get (CSE or Other Branches):

CSE:

  • You might get CSE in:

    1. PES Mandya

    2. KSIT Bangalore

    3. AMC Engineering College

    4. Cambridge Institute of Technology

    5. RNSIT (maybe in later rounds)

Other Branches (more chances):

  • ECE, ME, Civil, IT in better colleges like:

    1. Dayananda Sagar College

    2. New Horizon College

    3. Acharya Institute

    4. Sapthagiri, SJBIT, etc.

Tips:

  1. Use option entry wisely during KCET counselling.

  2. List both CSE + other branches to improve chances.

  3. Keep track of mock allotments to adjust preferences.

Although, it's very unlikely that you will secure a seat in top ABM with CAT 67 percentile. Here's is a breakdown to your question:

· CAT Percentile vs. Score: A CAT score of 67 typically translates to a percentile in the range of 90-95 percentile based on the provided data from previous years. While this is a decent score overall, it falls short of the cutoffs for most top-tier ABM programs.

· Cutoffs for Top ABM Institutes:

  • IIM Lucknow: For their PGP-ABM program, the qualifying CAT cutoff for the general category is around 85 percentile . However, the actual cutoff for shortlisting for the Written Ability Test (WAT) and Personal Interview (PI) stages is likely to be higher.
  • IIM Ahmedabad: While they also offer an ABM program (PGP-FABM), their minimum qualifying CAT cutoff is around 80 percentile , but the final admission cutoffs are usually much higher, often in the 99+ percentile range for general candidates.
  • MANAGE (National Institute of Agricultural Extension Management): Their cutoff in CAT percentile has been around 70 for the general category in recent years. With a 67 percentile, you might have a slim chance here, but it's still competitive.
  • CCS NIAM (National Institute of Agricultural Marketing, Jaipur): They consider CAT scores with a significant weightage (30-51% in their selection criteria). While they don't explicitly state a cutoff, it's reasonable to assume it would be higher than 67 percentile for a good chance of admission.

· Overall Good CAT Score: Generally, a CAT percentile of 90 and above is considered a good score for securing admission to decent MBA programs in India. For top-tier institutes, a percentile of 95 and above is often preferred.

· MBA Colleges Accepting 60-70 Percentile: While there are MBA colleges that accept CAT scores in the 60-70 percentile range, these are generally not the top-ranked or most sought-after ABM programs. The focus of those lists is on general MBA programs, not specifically ABM.

While securing a seat in ABM can be tough, you can research about other colleges, consider other examinations, to improve your application profile.

You Got This !


Hello,

achieving a 99.99 pecentile in the CAT exam significantly enhances your prospects for admission to JBIMS, which evaluates candidates using an application rating(AR) score, which includes

-entrance exam score (CAT/MH-CET/CMAT) : 60% weightage

-Past Academic Record (PAR) : 15% weightage (https://cracku.in/colleges/jbims/admission-process/?utm_source=chatgpt.com)

-Extra-curricular Activities/Work Experience : 20% weightage (https://jbims.edu/uploads/announcement/Revised_M_Sc__Finance_Admission_Procedure_Batch_2024-26.pdf?utm_source=chatgpt.com)

-Diversity (Academic/Gender): 5% weightage

while ahigh CAT percentile is crucial, a lower academic record may impact your overall AR score. Nonetheless, exceptional performance in other areas, such as entrance exams and extracurricular activities, can help offset weaker academic credentials. it's advisable to review JBIMS's detailed admission criteria and consider strengthening other aspects of your application to enhance your chances


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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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