Profit & Loss in CAT 2025: Only 3 Formulas Needed for All Variations

Profit & Loss in CAT 2025: Only 3 Formulas Needed for All Variations

Edited By Komal Miglani | Updated on Aug 28, 2025 10:39 AM IST | #CAT
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CAT  Application Date : 01 Aug' 2025 - 13 Sep' 2025

Do you ever think the secondary school level topics like Profit and Loss can be so important for you, while you are going to take the CAT exam? In the quantitative aptitude section of the CAT exam, the arithmetic section is very important, and the subtopic profit and loss is a key topic. In this topic, you may find around 15+ formulas to solve the questions based on successive discounts, marked price tricks, or faulty weight problems. In this article, you will find

This Story also Contains
  1. Introduction to Profit and Loss for CAT
  2. How to Solve Profit and Loss in CAT Using These Formulas
  3. Solved Past 5 Years’ Questions with Solutions of Profit and Loss for CAT
  4. How to Prepare for Profit and Loss in the CAT Exam
  5. CAT 2025 Preparation Resources by Careers360
Profit & Loss in CAT 2025: Only 3 Formulas Needed for All Variations
Profit & Loss in CAT 2025
  • 3 formula strategies to solve the problems in each variation

  • How to apply these formulas in different scenarios

  • How to improve accuracy

  • Memory-based approaches to solving the CAT questions

Introduction to Profit and Loss for CAT

To understand the topic, you must understand the basic definitions first, like
1756357443505CP (Cost Price): It is the price at which an article is purchased.

SP (Selling Price): It is the price at which an article is sold.

MP (Marked Price or List Price): It is the price marked on the article. Discounts are generally calculated on this price.

Profit or Gain: When SP > CP, the seller makes a profit.

Profit = SP - CP

Loss: When CP > SP, the seller incurs a loss.

Loss = CP - SP

Discount: It's a reduction given on the marked price (MP).

Discount = MP – SP

Also, you should understand the question types that are being asked in the CAT

  • Questions based on CP, SP, and MP

When CP, discount%, Profit% are given, and other variables like SP, MP, etc need to be calculated.

  • Questions based on successive discounts

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When two or more discounts are given successively, and you have been asked to calculate the SP, MP, or net discount percent.

  • Questions based on Faulty weight and Adulteration

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In these types of questions, the final profit% is asked after adulteration, or sometimes the adulteration percent is asked when the final profit percent is given.

Why Profit and Loss is important in CAT Quant

  1. The CAT quant section has one or two questions from this topic every year, ranging in difficulty from medium to high level. So, this topic should be practised more.

  2. From the analysis of CAT previous years' question papers, we noticed that, along with direct questions from Profit and Loss, Caselet Data Interpretation based on this is also asked.

Weightage of Profit & Loss in CAT over the years


We have analysed the previous 5 years' papers of CAT to find out the weightage and CAT exam pattern of the questions form profit and loss that are asked in the exam. Here is a summary of the weightage of questions of profit and loss year-wise and slot-wise.

S. No.

Year

Slot

Number of questions

1

2020

1

1

2

2020

2

1

3

2020

3

1

4

2021

1

1

5

2021

2

2

6

2021

3

1

7

2022

1

2

8

2022

2

0

9

2022

3

0

10

2023

1

1

11

2023

2

2

12

2023

3

1

13

2024

1

1

14

2024

2

1

15

2024

3

1

Common mistakes students make in Profit & Loss CAT questions

It is important to understand the common mistakes in the CAT exam that a student makes while solving the Profit and Loss questions.

Common Mistakes

How to Rectify

Ignoring basic concepts

Understand all the basic definitions and formulas, and practice questions based on them

Misinterpreting the base

Usually, students calculate the profit percent on the selling price instead of the cost price. So, it is very important to understand that the profit is always calculated on CP, discount is always calculated on MP.

Mistakes in converting percentages into fractions

Practice the percentage to fraction conversion and vice versa.

Errors in finding successive discounts

It is important to understand whether the successive discounts are needed or not. You should focus more and practice more

When questions involve two or more concepts, students often make mistakes

Practice questions based on the concept amalgam.

The Only 3 Profit and Loss Formulas You Need for CAT

There are 3 basic formulas in profit and loss that need to be understood to solve any question in Profit and loss. The rest are the variations of the questions.

  • Formula 1 (Relating SP, CP, and Profit/Loss)

Profit % = (Profit/CP) × 100, where CP is the cost price.

Loss % = (Loss/CP) × 100, where CP is the cost price.

Profit = SP - CP, Loss = CP - SP

Other Variations of this formula:
SP = CP × (100 + Profit%) / 100

Key Usage: Basic P&L questions, cost-price/selling-price direct problems.

Example:
A shopkeeper buys a book for ₹400 and sells it at ₹460. Find profit %.
Profit = 60, CP = 400 → Profit% = (60/400) × 100 = 15%.

  • Formula 2 (Relating SP, MP, and Discount)

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

Discount = MP - SP

Other Variation:
SP = MP × (100 – Discount%) / 100

Key Usage: Marked price, successive discounts, successive profit/loss.

Example:
A shopkeeper gives two successive discounts of 40% and 30% respectively. Find the effective discount %.
Let MP = 100, after 1st discount, price = 60, after second discount of 30%, final SP = 60 × 0.7 = 42.
Net Discount% = (100 - 42)/100 × 100 = 58%.

Alternate solution: (Trick)
Net discount% = 40 + 30 - (40 × 30)/100 = 70 - 12 = 58%

  • Formula 3 (Relating MP, CP, and markup value)


Markup% = (Markup value)/CP × 100

Other Variation:
SP = MP × (100 – Discount%) / 100

Key Usage: Marked price, hike in the price of value, successive increase in the price.

Example:
A man marked up the price on one article by 20% and lost 10% on the marked price while selling. Find net % gain/loss.
Let CP = 100, after increase of 20%, price = 120, after second transaction, final SP = 120 × 0.9 = 108.
Net gain% = (108 - 100)/100 × 100 = 8%.

How to Solve Profit and Loss in CAT Using These Formulas

A few points must be remembered before solving questions using these 3 formulas

1. Profit or loss percent is always calculated on the cost price.

2. Discount percent is always calculated on the marked price.

3. The markup percent is always calculated on the cost price.

Also, there are some prerequisite conditions:

Hands-on percentage to fraction conversion and vice versa.

Step-by-step approach to Profit & Loss CAT questions

Consider the following example:

Question: A man buys 35 kg of sugar and sets a marked price in order to make a 20% profit. He sells 5 kg at this price, and 15 kg at a 10% discount. Accidentally, 3 kg of sugar is wasted. He sells the remaining sugar by raising the marked price by p percent so as to make an overall profit of 15%. Then p is nearest to: [CAT 2024]

Solution:

Step 1: First, understand the problem statement and the information given in the question.

In this question, the markup percent is to be calculated.

Given:

Targeted Profit % = 20%

Sold 5 kg at the targeted price.

Sold 15 Kg at a discount of 10%.

3 kg of sugar is wasted.

Now, we need to find the percentage increase in the price of the remaining sugar so that the total profit is 15%.

Step 2: Identify the concept required to solve the question.

Formula 1 should be used in between

Profit/Loss % = Profit/LossCP×100% , where CP is the cost price.

Formula 2 should be used in between

Discount % = DiscountMP×100%, where MP is the marked price.

Formula 3 should be used in the end

Mark up% = Mark up ValueCP×100%, where CP is the cost price.

Step 3: Apply the concept/formula to find the unknown.

Final Solution:

Let the cost price of 1kg of sugar = Rs 100

The total cost price of 35 kg = Rs 3500

Marked price per kg = Rs 120

Given, the final profit is 15%. So, Final SP of 35 kg = 3500 × 1.15 = Rs 4025

First 5 kg's are sold at 20% marked-up price, SP1 = 5 × 100 × 1.2 = Rs 600

Next 15 kg are sold after giving 10% discount, SP2 = 15 × 100 × 1.2 × 0.9 = Rs. 1620

3 kg of sugar got wasted

⇒ 23 kg of sugar was sold at Rs (600 + 1620) = Rs 2220

The remaining 12kg should be sold at Rs (4025 – 2220) = Rs 1805

⇒ SP of 1 kg = 1805 /12 = Rs. 150 approx

Hence, the seller should further mark up by 150-120120 ×100=25 %
Hence, the cor

Identifying shortcut opportunities in CAT Quant

Here are a few shortcuts that can be helpful to solve the questions effectively and save time during the exam.

Concept

Shortcut

To find the net profit or loss percent if the cost price of n articles is the same.

Average of all profit and loss percentages. Profit percentages are taken as positive, while loss percentage is taken as negative.

To find the net profit or loss percent if the selling price of 2 articles is the same and the profit % (x%) and loss % (x%) are the same.

Net loss% = x2100%

Net discount if there are two successive discounts of R1% and R2%.

R1+R2-R1R2100 %

Solved Past 5 Years’ Questions with Solutions of Profit and Loss for CAT

Q.1) Bina incurs 19% loss when she sells a product at Rs. 4860 to Shyam, who in turn sells this product to Hari. If Bina would have sold this product to Shyam at the purchase price of Hari, she would have obtained 17% profit. Then, the profit, in rupees, made by Shyam is

Solution:- [Expected time to be taken: 45 to 60 seconds, Level of Difficulty: Moderate]

Let the cost price for Bina be $x$.

Bina sells to Shyam at a 19% loss:
$4860 = x - \frac{19}{100}x = \frac{81}{100}x$

So, $x = \frac{4860 \times 100}{81} = 6000$

Now, let the selling price to Hari be $y$.

If Bina had sold to Shyam at Hari's price and made 17% profit:
$y = x + \frac{17}{100}x = \frac{117}{100} \times 6000 = 7020$

So, Shyam bought at Rs. 4860 and sold at Rs. 7020

Therefore, his profit is: $7020 - 4860 = 2160$

Hence, the correct answer is $2160$.

Q.2) Gopi marks a price on a product in order to make $20 %$ profit. Ravi gets $10 %$ discount on this marked price, and thus saves Rs 15. Then, the profit, in rupees, made by Gopi by selling the product to Ravi, is

A) 15

B) 25

C) 10

D) 10

Solution:- [Expected time to be taken: 45 seconds, Level of Difficulty: Easy]

Let the cost price of the product be $100x$.

Gopi wants to make a $20\%$ profit,
so the marked price (MP) is:

$
\text{MP} = 100x \times \left(1 + \frac{20}{100}\right) = 120x
$

Ravi gets $10$ % discount on the marked price, so the selling price (SP) is:

$
\text{SP} = 120x \times \left(1 - \frac{10}{100}\right) = 120 \times \frac{90}{100} = 108x
$

Now, the discount Ravi gets = $120x - 108x = 12x$

But the question says Ravi saves Rs 15,
So, $12x=15$

$⇒x=\frac{15}{12}=\frac54$

The profit made by Gopi = $108x - 100x = 8x= 10$ rupees.

Hence, the correct answer is option 3.

Q.3) Gita sells two objects A and B at the same price such that she makes a profit of 20% on object A and a loss of 10% on object B. If she increases the selling price such that objects A and B are still sold at an equal price and a profit of 10% is made on object B, then the profit made on object A will be nearest to:

A) 42%

B) 47%

C) 45%

D) 45%

Solution:- [Expected time to be taken: 75 to 90 seconds, Level of Difficulty: Moderate to Hard]

Let the original selling price of both A and B be Rs 100.
So, the cost price of A (Profit of 20%) = $\frac{5}{6} \times 100 = \frac{250}{3}$
And, Cost price of B (Loss of 10%) = $\frac{10}{9} \times 100 = \frac{1000}{9}$
After an increase in the selling price by some value, the profit on object B is 10%.
So, the new selling price = 110% of the cost price of B
= $\frac{1000}{9} \times \frac{110}{100} = \frac{1100}{9}$
Profit of A = $\frac{1100}{9} - \frac{250}{3} = \frac{350}{9}$
Profit percentage of A = $\frac{\frac{350}{9}}{\frac{250}{3}} \times 100 = 46.67$% (Nearest to 47%)
Hence, the correct answer is option (2).

Q.4) Minu purchased a pair of sunglasses for Rs. 1000 and sold them to Kanu for 20% profit. Then, Kanu sells it back to Minu at a 20% loss. Finally, Minu sells the same pair of sunglasses to Tanu. If the total profit made by Minu from all her transactions is Rs. 500, then the percentage of profit made by Minu when she sold the pair of sunglasses to Tanu is

A) 35.42%

B) 31.25%

C) 52%

D) 52%

Solution:- [Expected time to be taken: 60 to 75 seconds, Level of Difficulty: Moderate]

Initial Cost Price for Minu = 1000
Cost Price to Kanu = 120% of 1000 = 1200
Profit made by Minu = 1200 – 1000 = 200
Again Minu purchased at 80% of 1200 = 960
The total profit made by Manu is 500. So, profit made when she sold it to Tanu = 500 – 200 = 300
Final Selling Price for Minu when sold to Tanu = 960 + 300 = 1260
Profit percent = $\frac{300}{960}$ $\times$ 100 = 31.25%

Hence, the correct answer is option (2).

Q.5) Ankita buys 4 kg cashews, 14 kg peanuts and 6 kg almonds when the cost of 7 kg cashews is the same as that of 30 kg peanuts or 9 kg almonds. She mixes all the three nuts and marks a price for the mixture in order to make a profit of Rs. 1752. She sells 4 kg of the mixture at this marked price and the remaining at a 20% discount on the marked price, thus making a total profit of Rs. 744. Then the amount, in rupees, that she had spent in buying almonds is:

A) 1680

B) 1176

C) 2520

D) 2520

Solution:- [Expected time to be taken: 90 to 120 seconds, Level of Difficulty: Hard]

It is given,7C = 30P = 9A and Ankita bought 4C, 14P and 6A.
Let 7C = 30P = 9A = 630k
C = 90k, P = 21k, and A = 70k
Cost price of 4C, 14P and 6A = 4(90k)+14(21k)+6(70k) = 1074k
Marked up price = 1074k + 1752
$\begin{aligned} & \text { S.P }=\frac{1}{6}(1074 k+1752)+\left(\frac{4}{5}\right)\left(\frac{5}{6}\right)(1074 k+1752)=\frac{5}{6}(1074 k+1752) \\ & \text { S.P-C.P }=\text { profit } \\ & 1460-\frac{1074 k}{6}=744 \\ & \frac{1074 k}{6}=716\end{aligned}$
k = 4
Money spent on buying almonds = 420k = 420 × 4 = Rs 1680
The correct answer is Rs. 1680.

Q.6) Amal buys 110 kg of syrup and 120 kg of juice, syrup being 20% less costly than juice, per kg. He sells 10 kg of syrup at 10% profit and 20 kg of juice at 20% profit. Mixing the remaining juice and syrup, Amal sells the mixture at Rs 308.32 per kg and makes an overall profit of 64%. Then, Amal’s cost price for syrup, in rupees per kg, is:

A) 160

B) 180

C) 220

D) 220

Solution:- [Expected time to be taken: 90 to 120 seconds, Level of Difficulty: Hard]

Let the price of juice be Rs. $x$ per kg.
Since the cost price of syrup is 20% less than the cost price of juice, the cost price of syrup is $0.8x$ per kg.
Total cost price of syrup $= 110 × 0.8x = 88x$
Total cost price of juice $= 120 × x = 120x$
Total cost price $= 88x + 120x = 208x$
Since the overall profit percentage is 64%,
Total profit $= 0.64(208x) = 133.12x$
Profit generated by selling 10 kg of syrup which costs
Rs $0.8x$ per kg at 10% profit $= 0.1 ×10 ×0.8x = 0.8x$
Profit generated on selling 20 kg of juice which costs Rs $x$ per kg at 20% profit $= 0.2 ×20x = 4x$
The remaining profit $(133.12x - (0.8x + 4x) = 128.32x)$ is generated by selling 100 kg of syrup and
100 kg of juice at Rs 308.32 per kg.
The total selling price of 100 kg of syrup and 100 kg of juice is 200 × 308.32 = 2×(30832)
The cost price of 100 kg of syrup $= 0.8x ×100 = 80x$
Cost price of 100 kg of juice = $100x$
Total cost price $= 80x + 100x = 180x$
Profit = Selling price – Cost price
⇒ $128.32x = 2×(30832) - 180x$
⇒ $308.32x = 2×(30832)$
⇒ $x = 200$
Cost price of syrup per kg = 0.8 × (200) = Rs 160
Hence, the correct answer is option (1).

The most important CAT quantitative aptitude topics, along with the CAT quantitative aptitude practice questions, are provided in the table below. The candidates are encouraged to practice CAT quantitative aptitude questions from these topics as they have a high probability of being asked in the CAT examination.

Section

Title

Download Link

Arithmetic

Time, Speed and Distance

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Ratio and Proportion

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Time and Work

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Percentages

Download Now

Algebra

Surds and Indices

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Logarithms

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Linear and Quadratic Equations and Mixtures and Alligations

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Sequence and Series

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Geometry

Triangles

Download Now

Circle

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Modern Maths

Permutations and Combinations

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Number Systems

Remainders

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Coordinate Geometry

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How to Prepare for Profit and Loss in the CAT Exam

Here are a few points that can help you solve profit and loss effectively.

1. Learn conversions from percentages to fractions and vice versa.

2. You should learn specific tricks to solve the particular type of question.

3. In the questions of true weight/ false weight, Selling Price has always been calculated on the reading, while Cost Price has always been calculated on actual weight. After that, compare the final selling price and the final cost price to find the profit or loss percentage.

4. Practice all kinds of problems separately.

Time allocation strategy for CAT Quant

1. Identify the questions that take less time.

2. Eliminate the wrong choices by analysing the options.

3. Use Assumptions and approximations while solving the questions.

Best books and resources for Profit & Loss

1. Arun Sharma: A Quantitative Approach for CAT (7th Edition, Pg No: 235 - 242)
2. Quantitative Aptitude for CAT by Nishit K Sinha

CAT 2025 Preparation Resources by Careers360

The candidates can download the various CAT preparation resources designed by Careers360 using the links given below.

eBook Title

Download Links

CAT 2025 Arithmetic Important Concepts and Practice Questions

Download Now

CAT 2025 Algebra Important Concepts and Practice Questions

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CAT 2025 Number System - Important Concepts & Practice Questions

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Mastering CAT Exam: VARC, DILR, and Quant MCQs & Weightages

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CAT 2025 Quantitative Aptitude Questions with Answers

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Frequently Asked Questions (FAQs)

1. Which method should I use to solve the questions: formula, ratio-fraction, or assumption (CP = 100)?

It depends on the question. 

If a direct value question is asked, then use the formula.

If percentage values are given in integers, you can use the assumption (CP = 100)

If percentage values are given in decimals, you can use the ratio-fraction method.

2. How can I improve my speed while solving profit and loss questions?

You can work on a few points:

1. Focus on conceptual clarity rather than using formulas.

2. Learn percentage to fraction and fraction to percentage conversion.

3. Do calculations mentally.

3. How to solve the questions like, Selling two items at the same price, one at 25% profit, another at 25% loss, what is the overall gain or loss %?

In this case, one will always incur a loss which is equal to the square of the loss% divided by 100.

Here, loss% = 6.25%.

4. How should I tackle the questions based on faulty weight?

You can find the formula to solve the questions on faulty weight. But without using a formula, these questions can be handled more effectively.

  • Assume the purchase rate and selling rate according to the information given in the question.

  • Multiply the purchase rate by the actual quantity given to the customer to find the CP.

  • Multiply the selling rate by the reading (quantity for which the customer actually paid) to find the SP.

  • Now, compare SP and CP to find the desired profit or loss percent.

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Questions related to CAT

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Thank you for your question!

KL- MAT syllabus: Quantitative Aptitude, Reasoning, English/Verbal Ability, and General Awareness (similar to MAT/CMAT pattern).

CAT scores are valid in many private universities including KL University, but always check the year’s admission notification.

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Hello it will clear your doubt!

Hello Aspirant,

  1. I saw a cat. The cat found an old map inside a drawer of the king's palace.

Here's why:

  • "a cat": It's the first time we mention the cat, so it's indefinite.

  • "The cat": Now we're talking about that specific cat we just mentioned, so it's definite.

  • "an old map": It's the first time we mention a map, and "old" starts with a vowel sound, so "an."

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Hello Kapish

You can find the last 5 year questions of DILR for CAT at Careers360 website. Moreover, you can find the previous year papers of all the subjects i.e. DILR, Quants and VARC. I am attaching the link through which you would be able to access the same.

Here's the link: CAT Previous Year Papers by CAREERS360
Sample paper of DILR: CAT Sample Paper (DILR) by CAREERS360

Thank You!!!


Hello Divya,

Yes, candidates with an online BBA can sit for both CAT and GMAT provided that the degree is from a recognized (UGC approved in India or accredited abroad) institution. The leading B-schools in both India and abroad do not look down upon online degrees as long as the degree is from a recognized body, they will mostly be looking at your test scores, academic performance, work experience, and profile holistically. What matters is the legitimacy of the institution and how you showcase your abilities, not whether your degree was obtained online or in-person.

Yes, someone with an online BBA can sit for both CAT and GMAT, provided the degree is from a UGC recognized university. Top B-schools in India (like IIMs) and abroad generally accept online degrees if they are valid, and you won’t be marked down just because it’s online. What matters more is your entrance exam score, academic record, work experience, and overall profile.

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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