CAT 2025 Success Strategy Day 53: Preparing for CAT 2025 can be challenging, but focusing on the right topics makes a big difference. On Day 53 of your preparation, you should master Statistics, Clock questions, and Verbal Ability in Critical Reasoning. Statistics helps you handle data-related problems in Quant, while Clock aptitude questions test your skills in logical reasoning about time and angles. Practising topics mentioned in CAT Syllabus 2025 regularly will boost your accuracy and speed, giving you an edge on exam day. In this article, we have discussed the questions related to Statistics, tips to solve questions and download ebooks for different subjects to get successful MBA admissions 2025-2027.
Quantitative Aptitude in the CAT 2025 exam evaluates your numerical ability, mathematical concepts, and problem-solving skills. The Quantitative Aptitude syllabus has topics like Arithmetic, Algebra, Geometry, and Number Systems. Hence, this section is critical for achieving a high overall percentile in CAT 2025.
Important Concept/Formula Used in Statistics questions and answers for CAT 2025.
Concepts and Formulas Used in CAT statistics MCQ are given below:
Measures of Central Tendency:
The following are the five measures of central tendency.
Arithmetic mean: AM of a and b is (a+b)/2.
Geometric mean: GM of a and b is (ab)/2.
Harmonic mean: Calculated with the help of AP.
Median (Mid Value): the value of the variable which divides the group into two equal parts.
Mode: the value of the variable corresponding to the maximum frequency. In the case of continuous frequency distribution, the class corresponding to the maximum frequency is called the modal class and the value of mode is obtained as,
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Mean deviation: Average deviation of each observation from the mean value.
Standard deviation:
Variance
D. Quartile deviation
E. 10 – 90 percentile range
Statistics Practice Questions For CAT Exam From CAT Previous Years Papers
Q1. CAT 2025 Statistics Questions and Answers are given below:
Five positive integers have their mean, mode and median, each equal to 8. If their range is 15 and the mode is unique. How many possible values can the least of them take? [TITA, Based on CAT]
Ans: [1]
Mean = 8
Mode = 8
Median = 8
It means, 8 is the mid-value.
Case 1: Since the mode is unique, 8 occurred a minimum of two times.
Possible case:
a. five values are x y 8 8 x+15 (since the range is 15, where x is the minimum value)
So, (x+ y+ 8+ 8+ x+15) = 8* 5 = 40
⇒ 2x +y = 9
y= 1, x =4 (Not possible; y> x)
y= 3, x = 3 (Not possible; if it is so mode will have two values but mode should be unique)
y= 5, x = 2
One value of x is possible from here.
b. five values be x 8 8 z x+15
So, (x+ 8+ 8+ z+ x+15) = 8* 5 = 40
⇒ 2x +z = 9
z= 1, x =4 (Not possible; x> z)
z= 3, x = 3 (Not possible, z should be greater than 8)
z= 5, x = 2 (Not possible, z should be greater than 8)
Case 2: If 8 occurred three times.
Possible values are x 8 8 8 x+15
So, (x+ 8+ 8+ 8+ x+15) = 8* 5 = 40
⇒ 2x = 1
⇒ x = ½ (not an integer)
From all the cases discussed, there is only 1 possible value of x.
Q2. Statistics test questions are given below:
Rajesh’s family went for a winter vacation by a personal CAR. The prices of oil differ from state to state. Calculate the median oil cost.
81.65, 81.85, 81.90, 91.74, 92.06, 92.10, 102.18 [TITA, Based on CAT]
Solution: Arrange the data in ascending order, we get:
81.65, 81.85, 81.90, 91.74, 92.06, 92.10, 102.18
Hence, the median oil cost is 91.74
CAT Exam Important Topic: Strategy to Prepare “Statistics Questions for CAT”
Find the CAT tips and tricks for Statistics in the Quantitative Section below:
The difference between a continuous variable and a discrete variable should be clear.
Frequency and cumulative frequency are two different things.
Learn all the statistics theorems, including the central limit theorem, LLN, Cauchy representation, mean, median, and mode.
Learn series like the Taylor series, Cauchy series, and infinite series as they are used to frame statistical questions.
Mode = 3 x median- 2 x mean
Practice CAT questions on statistics from Previous years questions to get familiar with the types of questions being asked.
CAT entrance exam: Prerequisite to statistics questions and answers
Data Analysis
Data Visualisation
CAT study material: References to Study (Theory) Statistics concepts
How to Prepare Quantitative Aptitude by Arun Sharma (7th Edition)
Statistics forms an important part of the Quantitative Aptitude section in the CAT exam. Questions from this topic often test your conceptual clarity on measures of central tendency (mean, median, mode), dispersion (range, variance, standard deviation), and data summarisation techniques such as percentiles and quartiles.
1. Master Key Statistical Formulas and Their Application Go beyond rote learning and focus on understanding the derivation and logic behind formulas for mean, median, mode, standard deviation, and variance. CAT often frames questions that test your depth of understanding. This includes changes in mean when new data is added or effects on standard deviation when values shift.
2. Understand Distribution Patterns and Data Spread CAT questions have an interpretation of data distribution whether it is symmetric, skewed, or follows a specific pattern. Developing the ability to assess distribution helps in solving questions related to quartiles, outliers, and relative positioning without exhaustive calculations.
3. Apply Smart Techniques for Standard Deviation and Variance Use deviation methods such as assumed mean or short-cut formulas for variance to simplify long computations. For instance, instead of calculating each squared deviation manually, apply:
4. Don’t Overlook Weighted Mean and Grouped Data CAT exams frequently include questions involving groups with different sizes and averages. To solve these, always use weighted average formulas and understand the impact of group size on overall data.
5. Solve Percentile, Quartile, and Decile Problems Visually Use number lines or visual scales to understand percentiles, quartiles, and deciles. Visualising the data distribution allows for intuitive understanding, especially when interpreting interquartile ranges or determining cut-off values in a data set.
6. Leverage Option Elimination in Approximate Calculations Statistics questions in CAT often have numerically close answer options. Train yourself to approximate using logical checks, estimation techniques, or bounding values to rule out unlikely choices, especially under time pressure.
Part 2: CAT 2025 DILR tips (Logical Reasoning and Data Interpretation questions for CAT)
The DILR section of the CAT exam tests your logical reasoning and data interpretation abilities through puzzles, charts, and complex data sets. Mastering questions based on the CAT DILR Syllabus requires strategic thinking, structured analysis, and consistent practice with diverse problem types.
Important Concepts & Formula on Clock Problems
60 minutes space = 3600
Hour hand covers 3600 in 12 hrs
Minute hand covers 3600 in 60 minutes
Second-hand covers 3600 in 1 minute
The angle between the hour hand and minute hand at h hrs and m minutes
Angle =11/2m-30h
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After completing all the important topics and concepts, aspirants should be able to solve Clock questions with solutions for CAT exam 2025 given below.
CAT 2025 Previous Years Questions on Aptitude Clock Concepts
For the practice of all the aspirants, the CAT Logical Reasoning Quiz on: Clock questions and answers are given below :
Q1. Clock aptitude questions for CAT exam are given below:
The time in a clock is 20 minutes past 2. Find the angle between the hands of the clock.
[CAT 2016]
60 degrees
120 degrees
45 degrees
50 degrees?
Solution: [4]
Angle =11/2m-30h
⇒ Angle = 11x 20/2 – 30 x 2= 110 -60 = 500
Q2. CAT Questions Based on the Clock are given below:
A clock loses 1% time during the first week and then gains 2% time during the next week. If the clock was set right at 12 noon on a Sunday, what would be the time that the clock would show exactly 14 days from when it was set right?[CAT 2016]
1: 36: 48
1: 40: 48
1: 41: 24
10: 19: 12
Ans: [2]
One week has 7 * 24 = 168 hours.
If the clock loses 1% time during the first week, then it will show a time of 1% less than 168 hours = 1.68 hours less.
Subsequently, in the second week, it gains 3.36 hours more than the actual time.
As it lost 1.68 hours during the first week and then gained 3.36 hours the next week, the net gain = 1.68 hours.
So the clock will show a time which is 1.68 hours more than 12 Noon two weeks after the given time.
Clock-based questions in the CAT exam are a part of logical reasoning that test your grasp of angles, positions, and relative motion of clock hands. These problems require precision in applying concepts of circular motion and time calculations.
Use the Standard Angle Formula Apply the key formula to calculate the angle between the hour and minute hands:
θ=∣30H−5.5M∣ where H is the hour and M is the minutes. This formula forms the basis of most clock problems in CAT.
Understand the Relative Speed of Clock Hands Recognise that the minute hand moves at 6° per minute while the hour hand moves at 0.5° per minute. Their relative speed (5.5° per minute) is crucial when solving questions about when the hands meet, overlap, or form specific angles.
Master Overlap and Opposite Positions Hands overlap every 65 5/11 minutes. Opposite hands (180° apart) occur every 65 5/11 ÷ 2 = 32 8/11 minutes after each overlap. Memorising these values helps quickly solve meeting and angle-based questions.
Solve "Mirror Image" Clock Questions Logically In mirror image problems, subtract the given time from 11:60 to find the reflected time. For example, the mirror image of 3:40 is 8:20. This trick avoids confusion and ensures accuracy under time constraints.
Account for Hour Hand's Movement During Minutes When solving for angles or positions, don’t treat the hour hand as fixed. It moves as the minute progresses (0.5° per minute), and ignoring this leads to wrong answers—especially in minute-sensitive questions like acute angle formation.
Practice Time Gaps and Specific Time Conditions CAT may include problems where you must find the time between two events (e.g. when the hands are 90° apart). Build fluency in solving such problems by creating equations based on angle and time relationships, using relative motion consistently.
Scoring well in VARC requires daily reading practice, strong vocabulary, and familiarity with a wide range of writing styles. Consistent practice with topic-specific eBooks, sectional tests, and past year papers will help strengthen accuracy for CAT 2025.
Statement: A warning in a train compartment – “To stop the train, pull the chain. Penalty for improper use 500”
Assumptions:
Some people misuse the alarm chain
On certain occasions, people may want to stop a running train [NMAT 2020]
Only assumption I am implicit
Only assumption II is implicit
Either I or II is implicit
Neither I nor II is implicit
Both I and II are implicit
Ans. Option E
Explanation:
If the penalty is imposed then there must be a reason that people are mid using the facility.
So, Assumption 1 is implicit.
Secondly, an Alarm chain is provided for emergency uses. Therefore, II is also implicit.
Q2. CAT exam 2025 statements and Assumptions questions with solutions are given below:
Statement: If it is easy to become an engineer, I don’t want to be an engineer.
Assumptions:
An individual aspires to be a professional
One desire to achieve a thing which is hard-earned [XAT 2019]
Only assumption I am implicit
Only assumption II is implicit
Either I or II is implicit
Neither I nor II is implicit
Both I and II are implicit
Ans: [B]
Explanation:
If I want to be a professional, I should have worked hard. And I should not deny being an Engineer. Secondly, we can say a statement and assumption are not co-related. so, I is not implicit.
The statement also gives us a hint that one rejects a thing that is easy to achieve. so, Assumption II is implicit.
Check whether an assumption is implicit or not, by “Keeping yourself in the shoes of the subject”
Be careful of the extreme words used in the sentence, such as most, only, all, best, definitely etc. The statement is supposed to be read carefully to pick the right assumption.
Practice questions daily (Fewer questions but daily)
CAT 2025: Pre-requisite to Statement and Assumptions
Knowledge of basic components of statements and arguments.
References to Study (Practice) questions on Statement and Assumptions
Verbal Reasoning by Disha Experts (kindle)
CATKing.in
(https://www.youtube.com/watch?v=YrBMjb_kb28)
Tips to Solve Questions on Statements and Assumptions
Statement and assumption questions in the CAT exam test your logical reasoning and critical thinking. These questions require you to identify implicit beliefs or ideas behind given statements, making conceptual clarity and analytical precision essential.
1. Identify the Hidden Premise Read the statement carefully and ask: What must be true for this statement to hold? The assumption is often a hidden condition or belief that the speaker takes for granted but doesn’t explicitly state.
2. Avoid Extreme Language Assumptions with absolute terms like “always,” “never,” or “only” are usually incorrect. CAT expects nuanced reasoning, so prefers moderate and logically necessary assumptions over extreme or generalised statements.
3. Differentiate Between Assumption and Inference Don’t confuse assumptions with inferences. Assumptions are unstated beliefs behind the statement, while inferences are conclusions derived from it. Focus on what must be assumed for the statement to be valid.
4. Test Assumptions Using the Negation Method Use the negation test: if negating the assumption weakens or invalidates the statement, then it is a valid assumption. This is a powerful technique for eliminating incorrect options systematically.
5. Watch for Scope Alignment Ensure the assumption aligns in scope with the original statement. If the assumption addresses a broader or completely unrelated issue, it is likely incorrect. Assumptions must be directly relevant to the context of the given statement.
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Q: How to differentiate assumptions from conclusions in Critical Reasoning?
A:
An assumption is an unstated belief required for the argument to hold true, while a conclusion is a direct outcome. Use the negation test to identify true assumptions effectively.
Q: Are Clock and Statistics questions common in the CAT exam?
A:
While not consistently frequent, both topics appear periodically. Practising them adds depth to your Quant and LR preparation and improves your ability to handle diverse CAT-level question types.
Q: How can I improve accuracy in CAT Critical Reasoning questions?
A:
Focus on identifying assumptions, strengthening/weakening arguments, and eliminating answer choices logically. Practice daily with RC-based critical reasoning sets to sharpen analytical skills under timed conditions.
Q: What is the fastest way to solve Clock-based reasoning questions in CAT 2025?
A:
Use standard angle formulas and understand hand movement logic. Memorizing key overlaps and relative speed values helps quickly solve angle-based and mirror-image clock questions with minimal calculation.
Q: How do I master Statistics questions for CAT 2025 Quant?
A:
Master Statistics by focusing on key formulas, practising mean, median, and standard deviation questions, and solving application-based problems from previous year CAT papers to build speed and conceptual accuracy.
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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 ?
A career as Marketing Director is also known as a marketing expert who is responsible for the overall marketing aspect of the company. He or she oversees plans and develops the company's budget. The marketing Director collaborates with the business team to plan and develop the marketing and branding strategies for the company's products or services.
A Business Development Executive identifies and pursues new business opportunities to drive company growth. They generate leads, build client relationships, develop sales strategies, and analyse market trends. Collaborating with internal teams, they aim to meet sales targets. With experience, they can advance to managerial roles, playing a key role in expanding the company’s market presence and revenue.
Content Marketing Specialists are also known as Content Specialists. They are responsible for crafting content, editing and developing it to meet the requirements of digital marketing campaigns. To ensure that the material created is consistent with the overall aims of a digital marketing campaign, content marketing specialists work closely with SEO and digital marketing professionals.
A Sales Manager leads a sales team to meet targets, formulates strategies, analyses performance, and monitors market trends. They typically hold a degree in management or related fields, with an MBA offering added value. The role often demands over 40 hours a week. Strong leadership, planning, and analytical skills are essential for success in this career.
A marketing manager is a person who oversees a company or product marketing. He or she can be in charge of multiple programmes or goods or can be in charge of one product. He or she is enthusiastic, organised, and very diligent in meeting financial constraints. He or she works with other team members to produce advertising campaigns and decides if a new product or service is marketable.
A Marketing manager plans and executes marketing initiatives to create demand for goods and services and increase consumer awareness of them. A marketing manager prevents unauthorised statements and informs the public that the business is doing everything to investigate and fix the line of products. Students can pursue an MBA in Marketing Management courses to become marketing managers.
An SEO Analyst is a web professional who is proficient in the implementation of SEO strategies to target more keywords to improve the reach of the content on search engines. He or she provides support to acquire the goals and success of the client’s campaigns.
Digital marketing is growing, diverse, and is covering a wide variety of career paths. Each job function aids in the development of effective digital marketing strategies and techniques. The aims and objectives of the individuals who opt for a career as a digital marketing executive are similar to those of a marketing professional: to build brand awareness, promote company services or products, and increase conversions. Individuals who opt for a career as Digital Marketing Executives, unlike traditional marketing companies, communicate effectively through suitable technology platforms.
Individuals who opt for a career as a business analyst look at how a company operates. He or she conducts research and analyses data to improve his or her knowledge about the company. This is required so that an individual can suggest the company strategies for improving their operations and processes.
In a business analyst job role a lot of analysis is done, things are learned from past mistakes and the successful strategies are enhanced further. A business analyst goes through real-world data in order to provide the most feasible solutions to an organisation. Students can pursue Business Analytics to become Business Analysts.
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