For the candidates preparing for CAT 2025, persistent practice and strategic thinking are essential to securing a high score. On Day 40 of our 60-day prep series, we present you with a specially handpicked selection of best practice questions to boost your problem-solving ability in Quantitative Aptitude (QA), Logical Reasoning & Data Interpretation (LRDI), and Verbal Ability & Reading Comprehension (VARC). These sets of practice are set to replicate the real CAT exam pattern to improve your accuracy, speed, and test-taking approach. In this article, we are presenting expert-chosen questions, in-depth solutions, and time-saving strategies to assist you in taking your preparation to the next level and building confidence in CAT 2025.
CAT 2025 Exam Sample Paper
CAT Preparation 2025 in 60 Days
CAT Test Practice: The subject- and topic-specific CAT Sample questions with answers are included in this article. Candidates must download the CAT mock test pdf and finish the sample papers from all three subjects to get the best idea of what the CAT exam requires. This CAT test sample paper with solutions is based on what we have covered in the last 39 days.
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One can avoid the negative marking in the objective-type questions provided in the free CAT Mock Test by practising the CAT test sample papers provided below. Keep track of the time spent on the CAT previous year question paper in order to finish the actual paper within the allotted time.
This CAT Test Practice consists of three sections:
CAT Exam Sample Paper Part- A consists of 8 questions.
CAT Exam Sample Paper Part- B consists of 7 questions.
CAT Exam Sample Paper Part- C consists of 10 questions.
CAT Exam Sample Paper Part- A: Quant Questions For CAT Exam 2025
CAT previous year question 1:
In how many ways 10 letters be sent to 8 addresses?
8! X 10!
8x 10
810
108
CAT 2025: VARC, DILR, and Quant MCQs & Weightages
Comprehensive CAT prep guide with focused practice on Verbal Ability, Data Interpretation & Logical Reasoning, and Quantitative Aptitude.
CHITRANSHI contains 10 letters (out of which H and I come 2 times)
Case1: No alphabet is repeated
C H I T R A N S
4 selected out of 8 = 8C4 ways = 70 ways.
Case 2: 2 H should be there.
Remaining 2 letters should be taken from C I T R A N S = 7C2 ways = 21 ways
Case 3: 2 I should be there.
Remaining 2 letters should be taken from C H T R A N S = 7C2 ways = 21 ways
Case 4: 2 H and 2 I should be there: only 1 way of selection.
Total = 70+ 21+ 21+ 1= 113 ways.
CAT Previous Year Question 3:
In how many different ways can 7 persons sit in a row of 11 chairs?
12C4
12C5
12P5
12P7
Ans: [D]
Number of ways of arranging r persons at n places = nPr
CAT previous year question 4:
In which regular polygon are the diagonals triple the number of sides?
Quadrilateral
Hexagon
Decagon
Nonagon
Ans: (D)
Number of diagonals in regular polygon of side n = n(n-3)/2
So, n(n-3)/2 = 3n,
On solving, we get n =9.
CAT Previous Year Question 5:
The number of positive integral solutions of the equation a+ b+ c+ d = 25:
25C3
25C4
29C3
25C4
Ans: [A]
a+ b+ c+ d = 25
Number of positive integral solutions = nCr-1; where r? number of variables i.e. 4, n =25.
So, answer will be 25C3
Probability Previous Year Question 6:
Which of the following can not be the probability of an event?
4/3
2/3
90%
0.7
Ans: [A]
Probability of an event cannot be greater than 1.
CAT Previous Year Question 7:
One day is picked from the month of February 2012. If it turns out to be a Monday, what is the probability that it is 8th of February?
1/5
1/4
1/31
0
Ans: [A]
In February 2012, Monday will fall on 1, 8, 15, 22 and on the 29th of the month.
So, the probability = 1/5.
CAT Previous Year Question 8:
The probability of drawing a white and a yellow in succession in that order from a bag containing 7 white and 5 yellow balls, when the ball that is drawn first is not replaced.
35/132
35/144
49/114
7/22
Ans: [A]
Probability of getting first ball white and second ball yellow when the first ball is not replaced.
P(WY) = 7/12 x 5/11 = 35/132.
CAT Exam Sample Paper Part-2: LRDI CAT Previous Year Question Paper
Direction (Q1-Q3):
Comprehension:
Each of five friends A, B, C, D and E received some amount of money. D received `20 more than B. Each of them bought at least one book. The cost of any book purchased by them is the same. The number of books bought by E is the maximum. The amount left with D is half of the amount left with B. B is left with an amount which is equal to the cost of exactly one book. The number of books bought by A is equal to the number of books bought by B and C. All of them together bought 9 books. The amount received by and the amounts left with each of them are integral values.
Logical reasoning question 1:
What is the cost of a book (in Rs)?
60
40
30
20
Ans: [B]
Logical reasoning question 2:
What is the amount received by D (in Rs)?
100
140
80
120
Ans: [A]
Logical reasoning question 3:
What is the number of books bought by E?
3
4
2
Either (A) or (B)
Ans: [A]
Solution:
The given data can be tabulated as shown below:
Names
A
B
C
D
E
Amount got
B1
B1 +20
No. of books bought
2
1
1
2 0r 1
3 or 4
Amount left
B2
B2/2
Given that, the amount left with D is half of the amount left with B, hence the number of books bought by D is 2 and hence E bought 3 books. Since the amount left with D is less than the amount left with B
Let the amount left with B = B2 and the cost of a book = x.
Then B2 = x (Amount left with D = x/2 )
As B bought one book, the amount received by B = x + x = 2x.
Given, D = 2x + x/2 , D = B + 20 ⇒ 5x/2 = 2x + 20 ⇒ x = 40
(∴ Price of a book = 40). 4. Cost of a book is `40. Choice (B)
5. Amount received by D is `100. Choice (A)
6. E bought 3 books. Choice (A)
Direction for Q4-Q7
Each of the seven students – G to M – studies exactly one subject among – mathematics, physics and chemistry and plays exactly one game among – cricket, hockey and tennis. At least two students study each subject and play each game. No two students who study the same subject play the same game. The following information is known about them.
Either H or M studies physics but neither of them plays tennis. J plays either cricket or hockey but does not study chemistry. Neither G nor K studies mathematics and neither of them play cricket. J and K study the same subject. M and I study the same subject. L plays either tennis or hockey but not the same game which K plays. Neither M nor H plays cricket.
Logical reasoning question 4:
Who among the following studies chemistry?
J
G
M
N
Ans: [B]
Logical Reasoning Question 5:
Which subject does M study?
Mathematics
Chemistry
Physics
Either physics or chemistry
Ans: [A]
Logical Reasoning Question 6:
Which of the given ‘person – subject – game’ combinations is true?
H – physics – cricket
G – chemistry – hockey
I – mathematics – cricket
L – physics – tennis
Ans: [C]
Logical Reasoning Question 7:
Four of the following five are alike in a certain way and hence form a group. Find the one which does not belong to that group.
H – hockey
J – physics
M – hockey
L – mathematics
Ans: [D]
Solution:
It is given that at least two students study each subject and play each game. No two students who study the same subject do not play the same game. Either H or M studies physics but neither of them plays tennis. J plays either cricket or hockey but does not study chemistry. Neither G nor K studies mathematics and plays cricket. J and K study the same subject. Hence both J and K study physics. K has to play either hockey or tennis. If K plays hockey either H or M has to play tennis. Hence, K plays tennis. G plays either mathematics or chemistry. But G does not study mathematics hence G studies chemistry. It can be represented as follows.
Person
Subject
Game
G
CHEMISTRY
H
I
J
PHYSICS
K
PHYSICS
Tennis
L
M
One among H and M studies mathematics and the other studies physics. As M and I study the same subject, M and I study mathematics and H studies physics. L studies chemistry. L plays either tennis or hockey but not the same game which K plays. Hence, L plays hockey. Neither M nor H plays cricket. Hence, both play hockey. J and I play cricket.
Person
Subject
Game
G
CHEMISTRY
Tennis
H
Physics
Hockey
I
Maths
Cricket
J
PHYSICS
Cricket
K
PHYSICS
Tennis
L
Chemistry
Hockey
M
Maths
Hockey
Q4. G studies chemistry. Choice (B)
Q5. M studies mathematics. Choice (A)
Q6. ‘I – mathematics – cricket’ is true. Choice (C)
Q7. Except ‘L – mathematics’, in all other options the person and their respective subject or game is given. Choice (D)
Direction (Q1-Q2): Find the best-suited phrase for the underlined part.
Verbal Ability Question 1:
The art studio is spacious, pleasantly cluttered, and has good lighting.
And has good lighting
And being well-lit
And is lit well
And well- lit
And the lighting is good
Ans: [D]
Explanation: spacious, pleasantly cluttered are adjectives. Hence, we use an adjective with the sentence. Option a, b, c is a verb phrase and option e is a clause hence option D is correct.
Verbal Ability Question 2:
Some of the many renovations set for Memorial field in the coming years include building additional seating and the construction of a new varsity athletics centre.
And the construction of a new varsity athletics centre.
And constructing a new varsity athletics centre.
And, the construction of a new varsity athletics centre.
And a new varsity athletics centre.
And a new varsity athletics centre is under construction.
Ans: [B]
Explanation: it should be in _ing form to make sentences parallel correct. Hence option B is correct.
Direction (Q3-Q4): In the following question, some parts of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select 'No Error
Verbal Ability Question 3:
The United Nations General Assembly unanimously declared 2nd April as (a)/ World Autism Awareness Day to highlight the need to (b)/ help improve the quality of life of those with autism so that they can lead (c)/ meaningful lives as an integral part of the society. (d)/ No error (e)
(a)
(b)
(c )
(d)
(e)
Ans: [C]
Explanation: ‘help’ will be used in place of helping as it will take the first form of the verb with itself. Hence error is in part C.
Verbal Ability Question 4:
Meditation is the highest spiritual (a)/ technique that needs to be practised (b)/ diligently and devotedly (c)/ by qualified practitioners. (d)/ No Error (e)
(a)
(b)
(c )
(d)
(e)
Ans: [B]
Explanation: use needs as technique is singular.
Direction [Q5-Q6]: Give a suitable word for the given phrase in the question.
Verbal Ability Question 5:
The violent storm made it difficult for them to reach the shore.
Weather
Rains
Breeze
Tempest
Ans: [D]
Explanation: Tempest refers to violent windstorms in the form of rain, hail, and snow. Hence option D is correct.
Verbal Ability Question 6:
A person who dishonestly pretends to be somebody else.
Imperialist
Impressionist
Implorer
Imposter
Ans: [D]
Explanation: imposter refers to a person who deceives with fake character, identity. Hence option D is correct.
In the next 2 questions, there is a blank space. Below each such sentence, there are five options with one word each. Fill up the blank with the word that makes the sentence grammatically and contextually correct.
Verbal Ability Question 7:
Jason won the lottery and then watched all of his money ____ after marrying a gold digger who only cared about shopping.
Contravene
Dissipate
Defunct
Both (a) and (b)
Evince
Ans: [B]
Explanation: dissipate- disappear or cause to disappear.
Verbal Ability Question 8:
Our National debt places a ___ on our economy’s ability to grow.
Restrict
Liberal
Allowing
Constraint
Both (a) and (b)
Ans: [D]
Explanation: a limitation or restriction.
In the next 2 questions, a word has been used in sentences in three different ways. Choose the option corresponding to the sentence in which the usage of the word is correct/ appropriate.
Verbal Ability Question 9:
RUSE
The security guard knew the girls were going to try and use a distractive ruse in order to shoplift.
When I could no longer ruse my blaring alarm clock, I drug myself out of the bed.
Emma tried to think of a ruse to get Paul out of the house.
Only I
Only II
Only III
Both (I) and (III)
Both (II) and (III)
Ans: [D]
Explanation: Only (ii) is incorrect. RUSE means an action intended to deceive someone, a trick.
Verbal Ability Question 10:
ESCHEW
Because I am a strict Christian, I tend to eschew events that are not religious in nature.
Even though I love coffee, I have chosen to eschew the beverage because of the damage it does to my teeth.
As the clumsy camper slid down the mountainside, he was finally able to eschew a tree limb and hang on until rescuers arrived.
Only I
Only II
Only III
Both I and II
Both II and III
Ans: [D]
Explanation: only III is incorrect. ESCHEW means deliberately avoiding using; abstain form.
Try to read as much as possible, read article and newspaper and complete mock test sets
Q: What is the probability of a null event?
A:
The chance of a null event, often called an impossible occurrence, is zero. This implies that the event cannot occur at all.
Q: What is the Chance of a Sure Event?
A:
The probability of a sure event (something that is guaranteed to occur) is 1. This signifies that the event will happen without any doubt.
Q: What is Probability?
A:
Probability is the possibility that something will happen. It helps us forecast the likelihood of an occurrence and is often stated as a number between 0 and 1, with 0 indicating that the event will not occur and 1 indicating that it will definitely occur.
Q: What is Permutation and Combination?
A:
In mathematics, a permutation is the arrangement of things in a specified order, while a combination is the selection of elements from a collection without regard for order. Permutations and combinations affect the calculation of event probabilities. The more components in a set, the more ways they may be arranged, and the less probable a certain arrangement will occur.
Since your payment status shows
"S"
, it means your payment is successful. The "payment unsuccessful" message on the form is likely a temporary system error or a delay in updating.
Do not make another payment.
Making a second payment could cause a double debit, which is difficult to get a refund for. You should:
Wait 24-48 hours
for the status to update automatically.
Download and save
a copy of your form and a screenshot of the "S" payment status as proof.
Check your bank statement
to confirm the money has been debited.
If the issue is not fixed after 48 hours,
contact the official CAT helpdesk
immediately with your transaction details.
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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