As the CAT 2024 test date approaches near, you may be looking at how to prepare efficiently in only two months, what method to take, and which online resources are ideal for theory and practice. Questions like how long to prepare, whether a 2-month crash course is enough, and if you can pass the CAT in two months are often addressed, from this article you will clear all your queries. In this article, we’re providing important CAT-solved question papers based on previous years' exams. We’ve crafted a comprehensive study plan based on the CAT syllabus for 2024. Up to Day 15, we’ve outlined strategies for each day, including preparing for Cube (Logical Reasoning), Subject-Verb Agreement, and Polynomials (Algebra) on Day 15. Follow our 60-day CAT exam preparation strategy to stay on track and effectively manage your study schedule.
CAT Sample Papers: CAT questions with answers and Solutions
Free PDFs for CAT 2024 preparation
CAT Success Blueprint: Trailblazing Practice Set Questions for Top Scores- Day 16
CAT Sample Paper
This CAT Sample paper (CAT solved question papers)consists of three Sections: This Practice Set consists of three Sections:
Part- A consists of 8 questions.
Part- B consists of 7 questions.
Part- C consists of 9 questions.
Part-A (Quantitative Aptitude - CAT Sample Paper)
CAT Quant solved questions are given below:
Q1. If the roots of equation x2 + ax + b = 0 differ by 4, then which of the following is true? (CAT Exam)
(a) a2.b2 = 4(1 + b)
(b) 4a + b = 1
(c) b2 = 4 + a
(d) a2 = 4 (b + 4)
Q2. For what value of c does the quadratic equation x2 – (c2) x + 3(2c -1) = 0 have the sum of the roots as one-third of their product? (CAT Exam)
(a) 5 (b) 1 (c) 7 (d) 3
Q3. The difference between a fraction and its reciprocal equals 48/7. Find the fraction __________(CAT Exam- TITA]
Q4. For the given pair (x, y) of positive integers, such that 3x- 7y=1 and both x and y < 50, how many integer values of y satisfy the given conditions? (CAT Exam)
(a) 6 (b) 7 (c) 8 (d) 9
Q5. In CAT 2017 there were 62 questions. Each correct answer was rewarded with 3 marks and each wrong answer was penalised by 1 mark. In how many different combinations of the correct and wrong answers is a score of 50 possible? (CAT Exam)
(a) 14 (b) 15 (c) 16 (d) None of these
Q6. ‘Green & Fresh’ purchases y litres of fruit juice from the ‘Juice n Fruits’ for a total price of 6y^2 and sells the entire y litres at a total price of 10 × (7 + 8y/5). Find the minimum value of ‘y’ so that the ‘Green & Fresh’ does not make any loss. (CAT Exam)
(a) 50 (b) 5 (c) 15 (d) 7/3
Q7. If x2 – 2x - 3 is a factor of x4 – ax2 + b = 0 then the values of a and b are (CAT Exam)
(a) –10, –9 (b) 10, 9 (c) –10, 9 (d) 10, –9
Q8. In the land of famous architects, an architect sells his design for Rs 720 at some profit. Had he sold the design at Rs 540, the loss incurred would have been double that of the profit earned. What are the expenses to make a design? (CAT Exam)
(a) Rs 600 (b) Rs 625 (c) Rs 660 (d) None of these
Part-B (LRDI - CAT Sample Paper)
Direction (Q1-Q4): (CAT Exam) Direction: The following questions are based on the information given below: A cuboid-shaped wooden block has 10cm length, 8 cm breadth, and 1 cm height. Two faces measuring 10 cm x 1 cm are coloured in blue. Two faces measuring 8 cm x 1 cm are coloured in yellow. Two faces measuring 10 cm x 8 cm are coloured in Pink. The block is divided into 10 equal cubes of side 1 cm (from 10 cm side), and 8 equal cubes of side 1 cm(from 8 cm side).
Q1. How many cubes will have blue colour on two sides and the rest of the four sides having no colour? (CAT sample Paper)
(a) 24 (b) 48 (c) 8 (d) 32
Q2. How many small cubes will be formed? (CAT sample Paper)
(a) 80 (b) 19 (c) 40 (d) None of these
Q3. How many cubes having blue, yellow, and pink colours on at least one side of the cube will be formed? (CAT sample Paper TITA]
(a) 4 (b) 8 (c) 7 (d) 3
Q4. How many cubes will remain if the cubes having blue and pink coloured are removed? (CAT sample Paper)
(a) 80 (b) 12 (c) 40 (d) None of these
Direction (Q5- Q8)
A family of three generations has eight members A, B, C, D, E, F, G and H of them standing in a playground. 1. D’s daughter stands 6m south of her father. 2. A stands 4m north of his wife. 3. B is the mother of D. 5m towards the northeast of B is D. 4. C is the daughter-in-law of A and the mother of F. 5. D’s nephew stands 12m to the south of D and D’s sister-in-law stands in the middle of both of them. 6. E’s father stands 3m west of D. 7. E is the brother of D. E stands 10m towards the north-east of his father. 8. G stands 6m north of his daughter and 6m south of his brother-in-law. 9. G’s wife stands towards the west of her husband.
Q5: How is B related to F? (CAT sample Paper)
B is the grandmother of F
F is the nephew of B
B is the mother of F
Relation cannot be determined.
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Q7. Which of the following is not true? (CAT sample Paper)
C and H are on the same line
H is the cousin of F
The distance between E and C is 12 m.
E is the husband of C
Q8. If a male member from the 1st generation is the head of the family, then who is the head of the family? (CAT sample Paper)
(a) E (b) G (c) A (d) F
Part-C (VARC - CAT Sample Paper)
In the questions below, find the phrase with an error.
Q1: If I was the chief minister of the country, I will make primary education and poverty my top priorities. (CAT sample Paper)
If I was the chief minister of the country, I would
If I were the chief minister of the country, I would
If I were the chief minister of the country, I will
No correction required
Q2. One of the problems of the diamond industry are the increasing incidences of child exploitation. (CAT sample Paper)
Industry is the increasing incidence
Industry are the increasing incidence
Industry is the increasing incidences
No correction required
Q3. The large number of people have all but blocked all the highways in the city. (CAT sample Paper)
The sheer number of people have all
The large number of people has all
The greater number of people have all
No correction Required
Q4. Being a teacher, I was hoping if there were some tips you can give me on how to handle a class. (CAT sample Paper)
Being a teacher, I was hoping that you could give me some tips.
As you are a teacher, I was hoping if you could give me some tips
Being that you are a teacher, I was hoping if you could give me some tips
As you are a teacher, I was hoping that you could give me some tips.
Q5. As a child (1)/ I always want to (2)/ have a bicycle of my choice. (3)/ No error (4)
(a) 1 (b) 2 (c) 3 (d) 4
Q6. Without appointment, (1)/ your desire to meet(2)/ the prime minister cannot fulfill.(3)/ No error(4)
(a) 1 (b) 2 (c) 3 (d) 4
Q7. The professor is (1)/ delivering the lecture(2)/ for the last three hours.(3)/ No error(4)
(a) 1 (b) 2 (c) 3 (d) 4
Q8. The skilled labors (1)/ had always contributed (2)/ in the economy.(3)/ No error (4)
(a) 1 (b) 2 (c) 3 (d) 4
Q9. My wife paints (1)/ furniture whenever (2)/ she had time. (3)/ No error(4)
(a) 1 (b) 2 (c) 3 (d) 4
CAT Sample Papers: CAT questions with answers and Solutions
Part-A (Quantitative Aptitude - CAT Sample Paper Solution)
Ans 1: (d)
Let roots be α and β;
Sum of roots; α + β = -a
Product of roots; αβ = b
Also, α – β = 4
(α + β)2 = (α – β)2 + 4αβ
So, (-a)2 = 42 + 4b
⇒ a2 = 42 + 4b
⇒ a2 = 4(4 + b)
Ans 2: (b)
Sum of roots = c2 (Using sum of roots = -b/a)
Product of roots = 3(2c - 1)
According to question
c2 = 1/3 (3(2c - 1)) = 2c - 1
⇒ c2 - 2c + 1 = 0
⇒ (c -1)2 = 0
⇒ c = 1
Ans 3: 7
Let the fraction be ‘x’
It's reciprocal will be 1/x
So, x – 1/x = 48/7
⇒ x2 – 1 = 48x/7
⇒ 7x2 – 48x – 7 = 0
⇒ 7x2 – 49x + x – 7 = 0
⇒ 7x (x – 7) + (x – 7) = 0
⇒ (x – 7) (7x + 1) = 0
⇒ x = 7 or x = -1/7
So, x = 7 will be the answer.
Ans 4: (a)
3x = 1+ 7y
For integral solutions, (1 +7y) should be a multiple of 3.
y= 2, x = 5
y = 5, x = 12
y = 11, x = 26
y = 14, x = 33
y = 17, x = 40
y = 20, x = 47
y = 23, x = 54, where x is greater than 50. So the total solutions are 6.
Ans 5: (d)
Let correct questions be x, wrong questions are y and non-attempted are z.
So, x + y + z = 62
and 3x -y + 0 = 50 (according to question)
The minimum value of x for which 3x – y = 50 is 17.
The maximum value of x is when z = 0.
If z = 0, x + y = 62 or y = 62 – x
So, 3x – (62 – x) = 50
So, x = 28.
Therefore, No. of valid values for x will be from 17 to 28 = 12.
Ans 6: (b)
Profit = 10(7 +8y/5) – 6y2
To find the minimum profit
10(7 +8y/5) – 6y2 ≥ 0
Or, 70 + 16y – 6y2 ≥ 0
Or, 6y2 – 16y -70 ≤ 0
On solving, we get
Or, y ≥ 5 or y ≤ -7/3
So, the minimum value of y is 5.
Ans 7: (b)
Factor of x2 – 2x + 3 are (x-3) and (x + 1)
So, x =3 and x = -1 will also satisfy x4 – ax2 + b = 0
At x = 3, 34 – a x 32 + b = 0 ⇒ 81 - 9a + b = 0
At x = -1, (-1) 4-a (-1) 2+b = 0 ⇒ 1 – a + b = 0
On solving the above equations, a = 10, b = 9.
Ans 8: (c)
Profit = 720 – CP
Loss = CP – 540
According to the conditions;
Loss = 2 x Profit
CP – 540 = 2 (720 – CP)
So, CP = Rs 660.
Part-B (LRDI - CAT Sample Paper Solution)
Ans 1: (b)
Except for boundary cubes, all other cubes will satisfy this condition. Total cubes will be 80 and boundary cubes will be 32 so the rest cubes will be 80 – 32 = 48.
Ans 2: (a)
Since the block is divided into 10 equal cubes of side 1 cm (from 10 cm side), and 8 equal cubes of side 1 cm(from 8 cm side). So, the total number of small cubes = 10 × 8 = 80.
Ans 3: (a)
only corner cubes will have three surface paints and this cuboid has only four corner faces. so, the answer will be 4.
Ans 4: (b)
Only a single side-colored yellow cube will be left out. So, the answer will be 6 + 6 = 12 cubes.
Ans 5: (a)
B is the grandmother of F
Ans 6: (b)
C is the daughter of B. All are true except (2).
Ans 7: (c)
The distance between E and C is 12 m. The distance between E and C cannot be determined since we don’t know the distance between C and H.
Ans 8: (c)
From the given information, draw a family tree and distance diagram as shown:
Part-C (VARC - CAT Sample Paper Solution)
Ans 1: (b)
‘Was’ is associated with the past tense. In discussing hypothetical situations, the subjunctive mood is used. The correct usage is ‘If I were…I would….’
Ans 2: (c)
One of the problems is singular, as it refers to one of many problems. So, the right verb to be used with this subject is ‘is’, not ‘are’. The correct usage is “One of the problems……..is…
Ans 3: (b)
The expression ‘the number’ indicates a single arithmetical value. So, it is followed by a singular verb. On the other hand, the expression ‘a number’ serves as an indefinite pronoun meaning many. So, it is followed by a plural verb.
Ans 4: (d)
The first error is corrected by either saying ‘as you are a teacher’, or ‘being that you are a teacher’. The second error is in the use of ‘if’ after ‘hoping’. ‘Hoping’ is normally followed by a noun clause beginning with ‘that’(either explicitly stated or implied), or it is followed by ‘for’, or ‘to’.
Ans 5: (b)
use the 2nd form of the verb. Wanted in place of want.
Yes, CAT is termed as one of the toughest and most challenging MBA entrance exams in India, because of its vast syllabus
2.How does the marking scheme work?
According to the CAT test marking methodology, candidates will get +3 points for each right answer. Further, every wrong response will result in a -1 deduction.
3.What are the main topics covered in the verbal ability section?
Key areas include:
Sentence correction and completion
Para Jumbles
Summary-based questions
4.Will there be TITA questions in CAT?
Yes, there will be 5-8 TITA questions where candidates must type their answers without options.
5.Is 3 months enough for CAT preparation?
Yes, 3 months can be sufficient if you have a solid strategy and plan.
6.Is there a limit to CAT attempts?
No, there is no limit on the number of attempts for the CAT exam. Students can give exam each an every year
The CAT is a great option after graduation if you're interested in pursuing an MBA and building a career in management. It can open doors to top business schools like IIMs and lead to lucrative corporate roles. However, if you're not interested in management, there are other career options like higher studies, certifications, or entrepreneurship. Consider your career goals, interests, and investment before deciding.
Yes, CAT is a better option if you want to pursue an MBA from top institutes like the IIMs and other reputed B-Schools in India. It is highly recognized and opens many career opportunities in management. However, if you want other options, exams like XAT, SNAP, or GMAT are also good.
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.
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:
B Category (Management Quota)
: Generally, management quota seats may have a higher cutoff compared to regular seats, but they are still often more flexible.
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.
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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