As the CAT 2025 exam date is expected to be in November, we know that pressure is on for every aspirant. Since every MBA aspirant awaits enthusiastically for this opportunity once a year, we are here to provide you the best mock papers to give you the best idea of the CAT exam in the most efficient and effective way. You might be wondering with various dilemmas such as how to effectively study in 2 months, what strategy to follow, the best source for theory and practice questions. To help you, we've prepared a 60-day preparation plan based on the CAT 2025 syllabus. We've covered daily strategies up to Day 7, where we focused on percentages, caselets Logical Reasoning and prepositions.
CAT 2025 Practice Set 2- Sample Paper, Questions With Solutions
For Day 8 of our CAT preparation, we're providing CAT Practice questions based on the syllabus we've covered so far. Attempting these questions can help you to track your progress in the best possible way. CAT exam practice questions and answers are prepared for the students to get a learning experience of the syllabus in different ways and how they can prepare it well to avoid last minute rush or hassle.
Part-A: Quantitative Aptitude for CAT 2025
Cat Exam Aptitude Questions
Q1. If 138! is divisible by 7n, then find the maximum value of n.
24
20
21
22
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Q4. n is a number, such that 2n has 8 factors and 3n has 6 factors. 6n has.
24
48
12
Cannot be determined
Q5. How many pairs of positive integers x, y exist such that LCM (x, y) - HCF (x, y) = 42? [TITA]
Q6. 8 different brands of pairs of shoes counting 16, 64, 48, 88, 92, 60, 120, and 44 were ordered by a newly opened store. They need to be packed in such a way that each box has the same brand of pair of shoes and the number of pairs of shoes in each box is also the same. What is the minimum number of boxes required to pack?
129
64
48
133
Q7. Mr Kaju Srivastava is worried about the Expenditure on PNG. The price of PNG has increased by 30%. By what percent should he reduce the consumption of PNG so that he is able to maintain his Expenditure on PNG?
33.33 %
21 %
23 %
14.28 %
Q8. Of the population over 18 yrs in Singapore, 36% of men and 45% of women are married. What percentage of the total population of age more than 18 yrs are men? (Assume that no man marries more than one woman and vice versa)?
44.44%
55.55%
Cannot be determined
None of these
Directions for Questions 9 to 10: Read the following and answer the questions that follow.
Vande Bharat express has 4 AC-I coaches having 24 berths each, 6 AC-II Coaches having 45 berths each, and 3 AC-III Coaches having 64 berths each. There are no general Coaches on the train. If Rs 2000 is the cost of an AC -III berth from Delhi to Jammu. Following information in addition to above information is given:
AC-I berth is 20% expensive than AC-II berths.
AC-II berth is 20% more expensive than AC-III berths.
answer the following questions:
Q9. The value of the maximum revenue possible from Vande Bharat Express between Delhi to Jammu is
More than Rs.1.5 million
less than Rs.1.5 million
More than Rs. 1 million
Between Rs 1 to 1.5 million
Q10. What percent of revenue is generated from AC-I tickets in the previous question?
24.23%
21.13%
22.23%
28.9%
CAT Practice Papers: Answers And Solutions
Part A (Quantitative Aptitude)
CAT entrance exam question papers with answers:
Ans1: (c)
To find the maximum value of ‘n’, we have to count the number of 7s in 138!
So, n = [138/7] + [138/49], where [x] = maximum integer function
So, n = 19 + 2 =21
Ans 2: (b)
Do Prime factorization of 1430
i.e. 1430 = 13 x 11 x 5 x 2
n! must be 13 or greater since before 13, n! do not contain any 13.
So, the answer must be n = 13 (13! Will contain at least one 5, one 2, one 11 and one 13)
Ans 3: (a)
When 54 i.e. 625 divided by 626, the remainder is -1.
591 = (54x22) x53 = (62522) x125
Rem (591/626) = Rem {(62522) x125/ 626} = Rem {(-1)22 x125/626} = 125
Ans 4: (c)
2n has 8 factors. So, 2n must be of the form of one of the following:
2n = axbxc (no of factors = 2x2x2 = 8, here a, b and c are prime numbers)
Or
2n = axb3 (no of factors = 2x4 = 8, here a and b are prime numbers)
It is clear from here a= 2.
3n has 6 factors. So, 3n must be of the form of one of the following:
3n = b5 (no of factors = (5+1) = 6, where b is a prime numbers)
Or
3n = cxb2 (no of factors = 2x3 = 6, here c and b are prime numbers)
It is clear from here b = 3.
Here c will be a prime number other than 2 and 3.
Case 1:
2n = ax b3= 2n = 2x33; both cases of 3n will not be possible. So 2n cannot be ax b3.
Case 2:
2n = axbxc = 2x3xc; 3n = cxb2 = cx32 is possible
So, n = 3xc
6n = 2x32×c
No of factors = (1+1) x (2+1) x (1+1) = 2x3x2 = 12
Ans 5: 10 possible pairs are there.
Solution is as follows:
Let x = h x a; y = h x b, where h is HCF of x and y; a and b are co-primes
LCM = h x a x b
ATQ
h x a x b – h = 42
h (a x b - 1) = 42
H
(a x b - 1)
a x b
Possibility of a and b
1
42
43
(1, 43)
2
21
22
(1, 22), (2, 11)
3
14
15
(1, 15), (3, 5)
6
7
8
(1, 8)
7
6
7
(1, 7)
14
3
4
(1, 4)
21
2
3
(1, 3)
42
1
2
(1, 2)
Total possible pairs in a and b are 10.
Therefore, 10 pairs in x and y exist.
Ans 6: (d)
Take the HCF of the number of pairs of shoes and divide the total number of pair of shoes by HCF to find the minimum number of boxes required.
HCF (16, 64, 48, 88, 92, 60, 120, 44) = 4
Number of boxes are required = (16+64+48+88+92+60+120+44)/4 = 133
Since n is even, unit digit of 42n + 1 = 4 (Since 4^odd is always gives 4 as unit digit)
and unit digit of 4n = 6 (Since 4odd is always gives 6 as unit digit)
Ans 7: (c)
Price is increased by 30% means, if initial price was Rs 10 then new price will be Rs. 13
E2 (New Expenditure) = E1 (old Expenditure)
Using,
E2/E1 = (New Price/ Old Price) x (New Consumption/ Old Consumption)
1 = 13/10 x(New Consumption/ Old Consumption)
So, (New Consumption/ Old Consumption) = 10/13
We can say consumption will reduce from 13 to 10 i.e. 23.07%
Ans 8: (b)
Let there are 100x and 100y men and women respectively (Age more than 18 yrs)
Married Men = Married Women
i.e. 36x = 45y
So, x = 5y/4
Total Men = 100x = 100x5y/4 = 125y
Total Population (more than 18yrs) = 125y + 100y = 225y
Men = 125y × 100/225y % = 55.55%.
Ans 9: (d)
Cost of AC-III berth = Rs 2000
Cost of AC-II berth = Rs 2400
Cost of AC-I berth = Rs 2880
Maximum revenue is when all the berths are filled
Revenue from AC-III Coaches = 3x64x2000 = Rs 384000
Revenue from AC-II Coaches = 6x45x2400 = Rs 648000
The graph below informs about the total area and the population density for 8 different countries. The area of all countries is the same for the two years 2002 and 2008 and is shown by the bar graph, read off from the right-hand Y-axis. The population density is dividing the total population of the country by the area and is depicted by the line graphs and is read off the left-hand Y-axis. The two line graphs refer to the population density in the years 2002 and 2008.
Q1. How many countries had a higher population in 2008 as compared to 2002?
8
7
6
Cannot be determined.
Q2. Find the increase in the population of F from 2002 to 2008.
5.44 mn
5.44 lacs
5,440
Cannot be determined
Q3. The country with the largest population in 2008 among the given countries is
A
E
F
Cannot be determined
Population Density = \text {$\frac{Population}{Area}$}
Thus, the Population of a country can be found by multiplying the population density by the area.
CAT Practice Papers: Answers And Solutions
Part B (LRDI)
1. c
Since for all countries, the area remains the same over the two years, 2002 and 2008, then if population density has increased from 2002 to 2008, the population has increased and if population density has decreased, then the population has decreased. The number of countries having a population density in 2008 more than that in 2002 is 6 (except B and E)
2. a
The increase in the population of F = (70 – 62) × 680,000 i.e. 8 × 680,000 = 5,440,000 i.e. 5.44 mn.
3. b
Since the area has remained the same in 2002 and 2008, the percentage increase in the population is the same as the percentage increase in the population density. Thus, the required percentage growth is percentage growth from 46 to 56 i.e. a decrease of 10/46 i.e., 10/46 x100 = 21.73%
The country with the largest population is going to be one that has a higher population density as well as a higher area. Looking for this combination in the graph, the choices are narrowed down to E and F. (Each of the rest of the countries has both the area and the population density lower than one of these two countries)
Population of E in 2008 = 76 × 600 = 45600 thousand.
Population of F in 2008 = 70 × 680 = 47600 thousand.
Thus, in 2008, the highest population is F.
Directions for questions 4 to 7: Answer the questions on the basis of the information given below.
The following table gives the details of the production of 4 crops in India from the years 2007 to 2010. Winter and Summer refer to two different seasons of sowing and harvesting in the year. All 4 crops are produced in both seasons and the break-up across the two seasons is also given in the table.
Further, the table also gives the yield of the crops across the seasons and the years. Yield is defined as the production of the crop per hectare of the area under cultivation.
2007
2008
2009
2010
Season
prod.
Yield
prod.
Yield
prod.
Yield
prod.
Yield
Rice
Winter
74.47
1.91
76.7
1.88
80.2
2.12
78.25
2.05
Summer
11.25
3.02
12.6
2.98
12
2.88
12.5
3.15
Jowar
Winter
4.18
1.03
4.6
0.96
4.88
1.11
5.12
0.9
Summer
2.96
0.6
3.4
0.65
3.2
0.7
3.8
0.75
Maize
Winter
11.44
1.74
10.4
1.76
9.1
1.8
12.5
1.85
Summer
2.58
3.22
1.9
2.87
3.5
3.08
3.96
3.2
Pulses
Winter
4.94
0.45
4.7
0.45
5.11
0.55
4.98
0.55
Summer
8.41
0.72
7.9
0.74
7.5
0.75
8.2
0.78
Production figures are in million tonnes and the Yield is in tons/hectare.
Q4. In 2008, for how many of the four crops is the yield in the summer season more than the yield in the Winter season?
1
2
3
4
Q5. In which year did the area under cultivation of Rice in the Winter season increase by the greatest rate?
2007
2008
2009
2010
Q6. Arrange the following in increasing order of their magnitudes
I. The area under cultivation of Jowar in the Summer season in the year 2009
II. the area under cultivation of Maize in the Winter season in the year 2007
III. the area under cultivation of Pulses in the Summer season in the year 2010
I,II, III
I, III, II
II, III, I
III, II, I
Q7. The area under cultivation of which crop was the highest in the Winter season of 2008?
Rice
Jowar
Maize
Pulses
CAT Practice Papers: Answers And Solutions
Part B (LRDI)
Solutions:
Since , and we are given Production and Yield figures, so re-arranging the relation to get area, we have . With the units given, we will get the area in million hectares.
4. c
Just check the table where the yield in second row is more then the yield in the first row in 2008
We see that for Rice, Maize and Pulses, the yield in Summer is more than the yield in Winter.
5. b
The area under cultivation of rice in Winter season in successive years can be found as . And we have to find in which year the growth rate is the greatest. Just by solving the above fraction, we found that in 2008 we have the highest growth rate
6. a
I. Area = = 4.46
II. Area = =6.4
III. Area = =10.51
Thus, increasing order will be I, II, III
7. a
The area for Rice, Jowar, Maize and Pulses is found as
Part-C : VARC for CAT 2025
In the questions below, find the phrase with error.
Q1: As Franklin ran (a)/ next the street, he wondered (b)/ what he should buy.(c)/ No Error (d)
(a)
(b)
(c)
(d)
Ans: B.
“Along the street” should be there in place of “next the street”
Q2. Hardly had he visited(a)/ his friend’s house(b) when got invited(c). No Error(d)
(a)
(b)
(c)
(d)
Ans: A
In interrogative sentences, the first form of the verb should be used.
‘Visit’ should be there
Q3. This view has been taken (a)/ by one of the ablest persons (b)/ who has written on this subject (c)/. No error(d)
(a)
(b)
(c)
(d)
Ans. C
‘Have’ in place of ‘has’ should be there. (Plural verb should come with plural noun)
Q4. Due to population, Indian(a)/ agriculture are in pressure to raise(b)/ more and more crops. (c) /No Error(d)
(a)
(b)
(c)
(d)
Ans: B
‘Under pressure’ will be there in place of ‘in pressure’.
Q5. We must have(a)/ sympathy for the needy (b)/ and the poor. (c)/ No Error(d)
(a)
(b)
(c)
(d)
Ans: D
for the needy (use of definite article)
Q6. Prince Charles is a heir (a)/ to the throne(b)/ of Great Britain. (c)/ No Error(d)
(a)
(b)
(c)
(d)
Ans. A
‘an’ in place of ’a’ due to the vowel sound of an heir.
Q7. The roads of Agra(a)/ are wider and cleaner(b)/ than Noida. (c)/ No Error (d)
(a)
(b)
(c)
(d)
Ans. C
“than those of Noida” will be the correct phrase. (Comparison should be with similar things.)
Q8. The teacher asked(a)/ the student’s father to (b)/ put his sign on the report card. (c)/ No Error(d)
(a)
(b)
(c)
(d)
Ans. C
‘Signature’ in place of ‘sign’
Hope everyone learned the concepts and will practice more!
Q: How to improve accuracy in CAT Logical Reasoning and Data Interpretation (LRDI)?
A:
Solve puzzles, seating arrangements, and DI caselets on a regular basis to build logical reasoning. Practice various sets of LRDI on a daily basis to build speed and pattern recognition. Mock tests and previous year questions assist in enhancing accuracy and time management.
Q: What are the most important topics for CAT Quantitative Aptitude?
A:
The most important subjects are Arithmetic (Percentages, Profit & Loss, Time-Speed-Distance), Algebra (Quadratic & Linear Equations), Number System, Geometry, and Mensuration. These are often asked in CAT and thus must be emphasized more while preparing.
Q: How to prepare for CAT while working full-time?
A:
Working professionals need to adopt an intelligent study schedule, allocating 2-3 hours every day on weekdays and extended study sessions on weekends. Focus on high-weightage subjects, adopt online courses or mobile apps for flexible learning, and practice sectional and full-length mock tests to monitor progress.
Q: How should I start preparing for CAT 2025?
A:
Start with knowing the CAT syllabus and exam pattern. Concentrate on developing a strong base in Quantitative Aptitude (QA), Data Interpretation & Logical Reasoning (DILR), and Verbal Ability & Reading Comprehension (VARC). Develop a systematic study plan, practice mock tests on a regular basis, and review your performance to strengthen weak areas.
Q: How to score 99+ percentile in CAT?
A:
In order to achieve 99+ percentile, the candidates need to excel in all three sections, improve their time management skills, and solve 30–40 full-length mocks with a thorough analysis. Consistency, revising weak points, and implementing an exam-day plan for every section are essential to securing a high percentile.
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The CAT 2025 exam is a national-level MBA entrance test for IIMs and top B-schools in India. It will be held on 30th November 2025 in computer-based mode across ~170 cities.
The registration is open from 1st August to 13th September 2025 on
iimcat.ac.in
.
Admit cards will be available from 5th November 2025 onward.
Graduates with at least 50 marks (45 for SC/ST/PwD) are eligible to apply.
The exam tests English, Reasoning, and Quantitative Aptitude in three timed sections.
With 305 marks in ICAR PG and being from ST category, your chances of getting an AIEEA (CAT) seat is good, especially in plant sciences and less competitive subjects
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 ?
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 ?
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 ?
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 ?
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 ?
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 ?
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 ?
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 ?
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 ?
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 ?
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