Hello Candidates, As the CAT 2025 Examination for MBA admissions 2025 is tentatively set for November 30, candidates must be in their preparation phase. On Day 52 of Careers360's 60-day CAT 2025 preparation program, we are providing a Free Online Practice Test. This practice test will help you in analyzing your performance and scores, and strategize your preparation. This sectional mock test is meant to help you improve your performance, practice efficiently, and be prepared to score well on exam day!
Cat day 52
CAT 2025 Practice Test: Online Free Mock Test
This free sectional mock test for CAT consists of subjects and topics-specific questions and answers. To get the best idea of what the CAT exam 2025 requirements are, candidates must download the best free mock test for CAT and complete the CAT online Practice Test Series from all three subjects. Based on the 51 days of lessons, this online free practice test includes comprehensive solutions. You can succeed on the exam in 2025 by using this free sectional mock test for the CAT.
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There are 4 elements in set B, all these elements need to be mapped to some element in set A.
For a function to exist every element of the domain has a unique value.
p of Set B can be mapped to any of the 6 elements of Set A
q of Set B can be mapped to any of the other 5 elements in Set A and
r of Set B can be mapped to any of the other 4 elements in Set A
So, Number of onto functions from set A to set B = 6x 5x 4 = 120.
Q2. In a survey conducted by a multilevel marketing company to know people’s preference for beauty products and Accessories, 74 preferred beauty products while 67 preferred accessories. There were 18 who liked both and may prefer any. If there was no one who didn’t prefer at least one of the phones, then on how many people was the survey conducted?
120
40
123
159
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Q3. Region R is defined as 5x - 8y < 40. Given that a point P with coordinates (a, b) lies within the region R, what is the probability that a > 4?
¼
1/3
1/5
1/2
Ans: [A]
5x – 8y = 40 is a straight-line intersecting x-axis at x= 8 and y-axis at y= -5.
So, 5x – 8y < 40 is a region inside the right triangle with the sides 5, 8, square root (52+82) i.e. 5, 8 and square root (89)
Area of this triangle = 5x 8/2 = 20 sq unit.
Line x = 4 and 5x – 8y = 40 intersect at (4, -2.5) which is also a right triangle with a base and height are 4 and 2.5 respectively.
The area of this triangle will be 5 sq units.
Probability of point lying inside the region = 5/20 = 1/4
Q4. The area of the region satisfying the inequalities 2|x| - y ≤ 2, y ≥ 1, and y ≤ 2 is [TITA]
Ans:
Plot the graph as shown
The shaded region is the required area (Trapezium of height 1 and parallel sides being 3 and 4)
Area = Area of Trapezium = ½ [3+ 4]x 1 = 3.5 sq unit.
Q5. PQRS is a rhombus with the diagonals PR and QS intersecting at the origin on the x-y plane. The equation of the straight-line PS is x + y = 2. What is the equation of QR?
x + y = –1
x – y = –2
x + y = -2
None of these
Ans: [C]
Since PQRS is a rhombus and using the given information, the coordinates of vertices are as shown in figure
So, equation of QR
{y-0}/{x-(-2)}=(-2-0)/(0+2)
⇒2y = -2x -4
⇒ y + x = -2
Q6. The Sum of the first 20 terms of an AP is equal to the sum of the first 28 terms in the same AP. If all terms in the series are integers, which of the following can be its common difference?
9
-9
4
3
Ans: [C]
S20 = 10[2a + 19d]
S28 = 14[2a + 27d]
⇒10[2a + 19d] = 14[2a + 27d]
⇒20a + 190d = 28a + 378d
⇒ -8a = 188d
⇒ -2a = 47d
⇒ a = - (47/2) d
Clearly, from options, we can observe that the correct can be 4 because all terms are integers.
hence option d is correct.
Q7. If Sn = n3 - n2 + n - 1, where Sn denotes the sum of the first n terms of a series and Tx = 70, then x is equal to?
Online Free Practice Test Part B: LRDI (Logical Reasoning and Data Interpretation)
Passage: (Q1-Q3)
The top three rankers of the class, Pranav, Qureshi, and Raja, not necessarily in the same order, made the following statements about their ranks.
Pranav:
I am not the top ranker.
Qureshi is not the second ranker.
Raja is the third ranker.
Qureshi:
Pranav’s first statement is false.
I am the third ranker.
I made two false statements.
Raja:
Pranav is the first rank.
Qureshi is not the second ranker.
I am the second rank.
It is known that each of Pranav and Raja made only one false statement. Qureshi made only one true statement.
Q1. Who is the first ranker?
Pranav
Qureshi
Raja
Cannot be determined
Q2. Which of the following represents the correct order of truth and false statements made by Raja?
True, False, True
True, True, False
False, True, True
Cannot be determined
Q3. Who is the third ranker?
Pranav
Qureshi
Raja
Cannot be determined
Solution:
It is given that Qureshi made only one true statement. It implies that he made two false statements.
⇒ Qureshi’s third statement is true and the other two are false.
⇒ Pranav’s first statement is true. (From Qureshi’s first statement) i.e. Pranav is not the top ranker.
⇒ Raja’s first statement is false and the other two are true.
⇒ Raja is the second ranker and Qureshi is not the second ranker. As Pranav is not the first ranker, Qureshi is the first ranker and Pranav is the third ranker.
⇒ Pranav’s second statement is true and the third one is false.
1. Qureshi is the first ranker. Choice (B)
2. Raja’s statements are in the order false, true and true. Choice (C)
3. Pranav is the third ranker. Choice (A)
Passage: (Q4- Q7)
A logician is telling his wife about four pieces of jewellery he has just seen in an exhibition. “I have seen a watch, a ring, a necklace and a brooch. The heavier of the necklace and the brooch is the costliest, while the costlier of the watch and ring is the lightest. The cheaper of the ring and the brooch is the heaviest, while the heavier of the necklace and the ring is the cheapest. Also, if the brooch is costlier than the necklace, then it is lighter than the watch.” His intelligent wife immediately ranks them in terms of their cost and weight and says, “We cannot determine the ranks of two of the pieces in one of the comparisons.”
Q4. Which of the following pairs is the wife of the logician talking about?
Necklace and Brooch
Brooch and Watch
Watch and Ring
Ring and Necklace
Q5. The logician then gave his wife an additional statement which was sufficient to determine the complete rank list in both comparisons. Which one of the following statements did the logician give his wife?
If the Ring is lighter than the Necklace, then the Necklace is costlier than the Brooch.
If the Necklace is lighter than the Brooch, then the Brooch is costlier than the Watch.
If the Watch is cheaper than the Ring, then the Ring is heavier than the Watch.
If the Ring is not lighter than the Watch, then the Watch is costlier than the Brooch.
Q6. Which of the following is the costliest?
Necklace
Brooch
Watch
Either (A) or (B)
Q7. Which of the following is the lightest?
Ring
Watch
Necklace
Either (B) or (C)
Solution:
Statement Ι: Costlier of the watch and ring is the lightest. Let us assume that the ring is the lightest.
Statement ΙΙ: Heavier of the necklace and ring is the cheapest.
Statement ΙΙΙ: Heavier of the necklace and brooch are the costliest.
Statement ΙV: Cheaper of the ring and brooch is the heaviest. If the ring is the lightest, it cannot be the heaviest. ⇒ Brooch is the heaviest [statement ΙV]
⇒ Brooch is the costliest [statement ΙΙΙ].
⇒ Necklace is the cheapest [statement ΙΙ]. But the brooch is the heaviest.
⇒ Brooch is heavier than the ring. ⇒ Brooch is cheaper than ring [statement ΙV]. “Brooch is the costliest”; and “Brooch is cheaper than ring” are contradicting each other. Hence, our assumption is wrong.
⇒ Ring is not the lightest.
⇒ Watch is the lightest.
Statement V: If a brooch is costlier than a necklace, then it is lighter than a watch. But we know that watch is the lightest.
⇒ Necklace is not lighter than a watch.
⇒ Brooch is not costlier than a necklace.
⇒ Necklace is costlier than brooch.
⇒ Necklace is the costliest [statement ΙΙΙ].
⇒ Necklace is heavier than brooch.
⇒ Brooch is not the heaviest. ⇒ Ring is the heaviest [statement ΙV].
⇒ Ring is the cheapest [statement ΙΙ].
RANK
COST
WEIGHT
1
NECKLACE
RING
2
BROOCH Or WATCH
NECKLACE
3
BROOCH Or WATCH
BROOCH
4
RING
WATCH
In the above table, 1st rank represents the costliest or the heaviest as the case may be. Observation: We do not know the rank of the brooch and watch in terms of cost.
4. The logician's wife is talking about Brooch and Watch. Choice (B)
5. If we know the comparison between brooch and watch in terms of cost, we can determine the rank list in both comparisons. Choice (D)
6. The necklace is the costliest. Choice (A)
7. Watch is the lightest. Choice (B)
Passage:
Six football teams – Maharashtra, Tamil Nadu, West Bengal, Delhi, Karnataka and Andhra Pradesh participated in a tournament. After the first two rounds, it is known that every team played with two different teams, one in each round and won one of the matches and lost the other.
Each team scored a different number of goals among – 2, 3, 4, 5, 6 and 7 in the first round of the tournament and each team scored a different number of goals among 1, 3, 4, 5, 6 and 8 in their second round of the tournament. We know the following information about their scores.
West Bengal scored nine goals in total, but it scored less number of goals in the match they won with respect than in the match they lost.
The number of goals scored by Tamilnadu in the first round is the same as that conceded by it in the second round.
The number of goals conceded by Karnataka is the same in both rounds and in both matches, the difference in goals between the winner and the loser is two.
The total number of goals scored in each of the two matches of Maharashtra is 10 but the total number of goals scored by Maharashtra is not 10.
Delhi is the only team that scored the same number of goals in both matches. But in total, it scored less number of goals than any of the other teams.
Q8. What is the maximum number of goals scored in any match?
14
11
12
13
Q9. Which team scored the least number of goals in a match?
Delhi
Karnataka
Andhra Pradesh
West Bengal
Q10. Which team scored the maximum number of goals in both matches together?
West Bengal
Tamil Nadu
Karnataka
Maharashtra
Q11. Against which team did Delhi win the match in the first two rounds?
West Bengal
Maharashtra
Tamil Nadu
Andhra Pradesh
Solution:
From the given information. Ι round scores – 2, 3, 4, 5, 6, 7 ΙΙ round scores – 1, 3, 4, 5, 6, 8.
From (5), if Delhi scored 4 goals in each round, then the team which scored one goal in ΙΙ round can never score more goals than Delhi, which contradicts (5).
∴ Delhi scored 3 goals in each of the first two rounds.
From (4), the only possibility of getting 10 goals in a match is 6 and 4 in ΙΙ round. Now, as the total number of goals of Maharashtra is not 10, in the first match the number of goals scored must be 7 and the number of goals conceded must be 3. [∵ 3 goals scored by Delhi is known to us]
∴ In the first round, Delhi and Maharashtra played and Maharashtra won.
∴ Delhi won in the second round. ∴ It must have conceded 1 goal in the second round.
∴ In the second round, as the total number of goals scored is 10 in the match that Maharashtra played, Maharashtra loses it by scoring 4 goals and conceding 6 goals.
From (3) and the above results, Maharashtra conceded 6 goals in the second round; Karnataka cannot concede 6 goals each in the first two rounds. If Karnataka conceded 5 goals each in the first two matches, then in the first match it scored either 5 + 2 or 5 – 2 goals i.e., either 7 or 3 goals, which is not possible as Maharashtra and Delhi scored 7 and 3 goals respectively in the first round matches. For the same reason as above, it cannot concede 3 goals each in the first two matches.
∴ Karnataka conceded 4 goals each in the first two matches.
∴ It scored one of (4 + 2) and (4 – 2) are the number of goals in the first round and in the second round. In the second round, no team scored 2 goals.
∴ Karnataka scored 2 goals in the first round and 6 goals in the second round.
From (1) and the above results, as West Bengal scored a total of 9 goals, It must have scored 4 and 5 goals in the first two matches [∵ It cannot score 6 and 3 goals as Delhi scored 3 goals in each. of the first two rounds]. In the second round Maharashtra scored 4 goals, and West Bengal scored 4 goals and 5 goals in the first and the second rounds respectively. As Karnataka conceded 4 goals in the first round, it played against West Bengal in the first round.
As West Bengal won in the first round, it should lose in the second round.
∴It should concede 8 goals in the second round.
From (2) and the above results, Tamilnadu cannot score 6 goals in the first round, if so it has to concede 6 goals in the second round, which is not possible as Maharashtra conceded 6 goals in the second round. ∴ Tamilnadu must have scored 5 goals in the first round and conceded 5 goals in the second round.
∴ It scored 8 goals in the second round. (West Bengal scored 5 goals and conceded 8 goals in the second round) ∴ Tamil Nadu has to lose in the first round. So, it must have conceded 6 goals in the second round.
∴ AP scored 6 goals and Tamilnadu conceded 6 goals in the first round and Andhra Pradesh scored 1 goal and conceded 3 goals in the second round.
∴ The final table for Ι round will be as follows:
(1) AP - Tamilnadu
6 5
(2) West Bengal – Karnataka
4 2
(3) Delhi – Maharashtra
3 7
ΙΙ round
(1) AP - Delhi
1 3
(2) Karnataka - Maharashtra
6 4
(3) West Bengal - Tamil Nadu
5 8
8. The Maximum number of goals scored in any match is 5 + 8 = 13. Choice (D)
9. Andhra Pradesh scored the least number of goals (1) in the second-round match. Choice (C)
10. Tamilnadu scored 5 + 8 = 13 goals in the first two rounds, which is the maximum. Choice (B)
11. Against Andhra Pradesh, Delhi won the match in the first two rounds. Choice (D)
CAT Test Series Part C: VARC (Verbal Ability & Reading Comprehension)
Direction (Q1-Q4): You must find the part that contains an error and then choose accordingly the sequence of correct parts (excluding the part that is grammatically and contextually incorrect). That sequence will be your answer.
Q1- I bade him (A)/ to submit all the important documents (B)/ before he left (C) / for the meeting (D)/ No error (E)
A
B
C
D
E
Ans. Option B
Explanation- bade takes ‘plain infinitive’(V1) after it and not ‘infinitive’ (to + infinitive). So, change ‘to submit’ into ‘submit’.
Q2- when we reached (A)/ the station we found (B)/ that there was (C)/ no place to stand. (D)/ no error(E)
A
B
C
D
E
Ans- option D
Explanation- use ‘no room’ in place of ‘no place’. Room means ‘enough empty space for people or things to be fitted in’.
Q3- All the pupils (A)/ stood up respectively (B)/ as soon as the (C)/ guru entered the room. (D)/ No error (E)
A
B
C
D
E
Ans- option B
Explanation- change respectively and respectfully
Respectively- in the order already mentioned
Respectfully- marked by respect
Q4- The youth (A)/ is the time (B)/ when the seeds of (C)/ wisdom are sown. (D)/ No error (E)
A
B
C
D
E
Ans- option A
Explanation- the given sentence talks about ‘youth’ (the stage of life) in a general way. Hence, ‘the’ cannot be used before ‘youth’. However, if we talk about the youth in a particular way, we will have to use ‘the’ For eg. The youth of India is very hardworking.
Direction (Q5-Q7): Replace the word/ phrase printed in bold in the sentence to make it grammatically correct.
Q5- the space- crunched city throws up several stories of struggle that schools have had to put up with to win playgrounds for their students.
Have had to put up
Had put up to
Have had to put up with
Had to put up to
No correction required
Ans. Option D
Explanation- ‘had to put up to’ fits the sentence appropriately as it makes the sentence structure grammatically correct.
Q6- Emotions were high as both families were taken to the police station last night.
Emotions went higher
Emotions become high
Emotionally high
Emotions ran high
No correction required
Ans- option D
Explanation- ‘emotions run high’ fits the sentence appropriately and it is an idiom which means to be in a state of excitement or anger.
Q7- Work at all the court complexes was paralysed as lawyers went on a day-long strike as a mark of protest.
For a one-day strike
For a strike
On a day’s long strike
On a day-long striking
No correction required
Ans- option E
Explanation-no correction required
Q8- Rearrange para jumbles
It was the height of the cold war.
On the morning of 26 September 1983, alarms went off at Serpukhov-15, the secret command centre of the Soviet Air Defence Forces.
Russia had just a few minutes to respond before the missiles—which are no doubt aimed at its own strike capabilities—destroyed the country’s ability to retaliate.
Both the Soviet Union and the US were bristling with nuclear weapons and relations between the two global superpowers were at an all-time low.
Soviet satellites that comprised Russia’s early warning system were reporting that five Minuteman intercontinental ballistic missiles (ICBMs) had just been launched from an American base and were headed for the Soviet Union.
BECAD
EBCAD
BECDA
BEACD
ABCDE
Ans- option A
Explanation- introductory sentence can be sentence-B. sentence E follows sentence B. Russia's early warning is mentioned in sentence E and then sentence C seems to be an event after sentence E. then statement A. and the conclusion is in statement D. both sentences A and D can be ending sentences but sentence D is more appropriate.
Hope you all were able to solve the practice set questions, Day 53 will be uploaded tomorrow!
Till then!
Keep practising, keep learning
Thank you!
All the Best!
Frequently Asked Questions (FAQs)
Q: Why is the Mock test important for CAT?
A:
To score well and get comfortable with exam patterns, practicing the Mock test is very important for candidates.
Q: What is coordinate geometry?
A:
It's the study of geometry using ordered pairs (coordinates) to define points on a plane.
Q: Why are onto functions important?
A:
They are essential for defining the inverse of a function.
Q: What is an onto function?
A:
An onto function (or surjective function) maps every
y in the codomain to at least one x in the domain.
Q: What are inequalities?
A:
Inequalities compare values, indicating one is greater, less, or not equal to another, used when exact values are unknown.
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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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