CAT 2025 Question Paper with Solutions: The Common Admission Test (CAT) 2025, conducted by IIM Kozhikode, has officially wrapped up across all three slots for admission to MBA and other management programmes for the 2026–2028 batch. Now, the IIM has released the CAT result 2025 online along with the scorecard. Candidates who have appeared for the exam can download CAT scorecard 2025 with their login credentials. Earlier, we have shared the CAT 2025 question paper with solutions as well. Candidates can download the CAT 2025 Slot 1, Slot 2, and Slot 3 along with the official answer key.
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CAT 2025 Question Paper with Solutions
CAT 2025 Answer Key
CAT 2025 Slot-wise Question Paper with Solutions
CAT 2025 All Slot Analysis
CAT 2025 Overview
CAT 2025 Question Paper with Solutions
The official answer key is also provided below, aspirants can also use this article to go through the detailed slot-wise analysis, memory-based questions, and solutions to calculate their scores and get a fair idea of their expected percentile.
CAT 2025 Question Paper with Solutions
The CAT 2025 Slot 1 question paper with solutions has now been released. This page has been updated with memory-based questions, and expert solutions from Slot 1 to help candidates evaluate their performance accurately.
This section will give you quick access to the official answer key for CAT 2025 Slot 1, helping you verify your responses and estimate your scores with confidence.
The CAT 2025 exam will be conducted across multiple slots on the same day. Although the level of difficulty may vary slightly across slots, the overall paper pattern and structure remain the same. Reviewing the CAT 2025 slot-wise question paper is extremely important as it helps candidates evaluate:
The CAT 2025 question paper and solutions for all three slots are being updated here. Slot 1, Slot 2, and Slot 3 have now been successfully concluded, and memory-based questions along with detailed solutions are being added slot-wise. Candidates are advised to bookmark this page and check back regularly for the latest PDFs, answer keys, and expert solution updates.
feeling overwhelmed:
CAT 2025 Slot 1 Question Paper with Solutions (Memory-Based Questions)
Q 1. The number of distinct pairs of integers satisfying x>y≥3 and x+y<14 is __.
Solution:
We need integer pairs (x,y) with y≥3, x>y, and x+y<14, i.e. x+y≤13.
For a fixed y we need integers x satisfying y+1≤x≤13−y.
This requires y+1≤13−y, so 2y≤12 and hence y≤6. Thus y=3,4,5,6.
Number of x values for each y is (13−y)−(y+1)+1=13−2y:
Q 2. Arun, Tarun and Varun work for 24, 21 and 15 days and get paid Rs. 2160, Rs. 2400 and Rs. 2160 respectively. If the work has to be completed within 10 days, what is the minimum amount to be paid?
Solution:
Daily pay:
Arun = 2160/24=90 per day, rate = 1/24 Varun = 2160/15=144 per day, rate = 1/15
Tarun costs more, so ignore him.
Together in 10 days:
10⋅124+10⋅115>1
So Arun + Varun can finish within 10 days.
Since both cost ₹2160 per job, using only them costs ₹2160.
Q 3. The number of integer values of k for which x2−5x+k=0 has real roots is __.
Solution:
Real roots require b2−4ac≥0:
(−5)2−4(1)(k)≥0 25−4k≥0 −4k≥−25 k≤25/4 k≤6.25
So integer k≤6.
All integers k≤6 → infinitely many.
Q 4. The number of non-negative values of n for which log1/4(n2−7n+14)>0 is __.
Solution:
Base 1/4<1, so:
log1/4(x)>0⇒0<x<1 Here x=n2−7n+14.
We need:
0<n2−7n+14<1
Step 1: Check n2−7n+14>0
Discriminant: (−7)2−4(1)(14)=49−56=−7<0 So it is always positive.
Step 2: Solve:
n2−7n+14<1 n2−7n+13<0
Discriminant: 49−52=−3<0 Quadratic is always positive → cannot be < 0.
Answer: 0
Q 5. In a cafeteria, there are 5 breads. One can choose 1 bread (small or large) and up to 2 sauces from 6 sauces. How many orders ?
Solution:
Bread choices = 5 Size choices = 2 Sauce choices:
(60)+(61)+(62)=1+6+15=22
Total orders:
5×2×22=220
Answer: 220
Q 6. A rhombus has side 36 cm and area 396 cm². Find |d1−d2|.
CAT 2025 Slot 2 Memory-Based Question Paper with Solutions
Q1. If N=23×37×57×79×10!, how many factors of N are perfect squares and also multiples of 420?
First compute prime exponents in 10!: ,v2(10!)=⌊102⌋+⌊104⌋+⌊108⌋=5+2+1=8. ,v3(10!)=⌊103⌋+⌊109⌋=3+1=4. ,v5(10!)=⌊105⌋=2,v7(10!)=⌊107⌋=1.
Note 57=3×19, and 23,37,79 are primes, so multiplying by 23,37,57,79 adds +1 to exponents of 23,37,79,3,19. Thus ,N=28⋅34+1⋅52⋅71⋅191⋅231⋅371⋅791=28⋅35⋅52⋅71⋅191⋅231⋅371⋅791.
Prime factorization of 420 is 420=22⋅31⋅51⋅71.
Let a divisor d of N have exponent ep at prime p. Requirements for d: ,d∣N⇒0≤ep≤ exponent in N. ,d a multiple of 420⇒e2≥2, e3≥1, e5≥1, e7≥1. ,d a perfect square⇒ every ep is even.
Look at prime 7: exponent of 7 in N is 1. There is no even integer e7 with 1≤e7≤1. Hence it is impossible to satisfy both “perfect square” and “multiple of 420” simultaneously.
Therefore the number of such divisors is 0.
Q2. Adam’s savings = Ben’s expenditure = Mary’s savings =50,000. Incomes are in ratio 3:1:4, so let incomes be 3k, k, 4k.
Then ,Adam's expenditure=3k−50,000,Ben's expenditure=50,000,Mary's expenditure=4k−50,000.
Feasibility requires Ben's income ≥ Ben's expenditure, so ,k≥50,000.(1)
Given: Mary’s expenditure is less than thrice Adam’s expenditure: ,4k−50,000<3(3k−50,000). So ,4k−50,000<9k−150,000⇒100,000<5k⇒k>20,000.(2)
Given: Twice Adam’s expenditure is less than two times Ben’s income: ,2(3k−50,000)<2k. So ,6k−100,000<2k⇒4k<100,000⇒k<25,000.(3)
From (2) and (3): ,20,000<k<25,000.
This contradicts (1) k≥50,000. Hence no k satisfies all conditions. The data are inconsistent, so the correct choice is D: Data Inconsistent.
Q 3. A and B can complete a work in 12 days and 18 days respectively. They start together, but A leaves after 4 days. How many more days will B take to finish the remaining work?
A's rate is 1/12 work/day and B's rate is 1/18 work/day. Together their rate is 1/12+1/18=5/36 work/day.
Work done in 4 days =4⋅(5/36)=20/36=5/9. Remaining work =1−5/9=4/9.
B's rate is 1/18, so days for B to finish =(4/9)÷(1/18)=(4/9)⋅18=8.
8 days
Q 4. If the quadratic ax2+bx+c=0 has roots that differ by 4, and a+b+c=12, what is the value of b2−4ac?
For a quadratic ax2+bx+c=0 the difference of roots satisfies |r1−r2|=b2−4ac|a|. Given |r1−r2|=4, we have 4=b2−4ac|a|, so
b2−4ac=16a2
Thus the discriminant is b2−4ac=16a2. (Using a+b+c=12 alone does not fix a unique numeric value for a, so the discriminant is expressed in terms of a.)
Q 5. In a triangle ABC, the sides are in the ratio 3:4:5. If the area of the triangle is 96 sq units, what is its perimeter?
Let the sides be 3k,4k,5k. This is a right triangle, area =12⋅3k⋅4k=6k2.
Given 6k2=96⇒k2=16⇒k=4. Perimeter =(3+4+5)k=12k=12⋅4=48.
48 units
CAT 2025 Slot 3 Memory-Based Question Paper with Solutions
The CAT 2025 Slot 3 question paper is often perceived as time-pressured due to mental fatigue by the evening. This section will give you brief about CAT Slot 3 analysis. This section will be updated soon with the memory-based questions.
CAT 2025 - Slot 1 vs Slot 2 vs Slot 3 Expected Score Vs Percentile
Percentile
CAT 2025 Slot 1 (Prediction)
CAT 2025 Slot 2 (Prediction)
CAT 2025 Slot 3 (Prediction)
99.95
115+
110+
112+
99.9
103–106
101–105
102–104
99.5
90–92
89–91
88–90
99
78–80
77–79
76–78
97
66–68
65–67
65–67
95
56–58
55–57
55–57
90
45–48
44–46
44–45
85
40–42
39–41
39–40
80
35–36
34–35
34–35
75
32–33
31–32
31–32
70
30–31
29–30
29–30
60
25–26
24–25
24–25
CAT 2025 College Predictor
Use CAT 2025 College Predictor to check your chances for IIM and top MBA calls based on CAT percentile, profile, work experience and cut-off trends.
CAT 2025 slot 2 detailed analysis is provided below with their difficulty level and number of questions in each:
CAT 2025 Slot 2 Exam Analysis
Section
Total Questions
Difficulty Level
Good Attempts
VARC
24
Moderate to Difficult
16 - 18
DILR
22
Difficult
8 - 9
QA
22
Moderate to Difficult
12 - 13
CAT 2025 Analysis: Slot 3
We have given below the slot 3 analysis of CAT 2025, along with the number of questions and difficulty level of each section:
CAT 2025 Slot 3 Exam Analysis
Section
Total Questions
Difficulty Level
Good Attempts
VARC
24
Easy to Moderate
Will be updated
DILR
22
Easy to Moderate
Will be updated
QA
22
Moderate to Difficult
Will be updated
Total
68
Easy to Moderate
Will be updated
CAT 2025 Overview
A
B
The CAT 2025 exam pattern remained the same as last year. As there was no official notification regarding any change in the pattern, the exam followed the same structure and marking scheme as previous year. Below is the CAT 2025 exam pattern and marking scheme.
For every wrong answer in MCQs, a negative mark of -1 will be deducted
Non-MCQs do not have any negative marks
Frequently Asked Questions (FAQs)
Q: How important are mock tests for CAT?
A:
Mocks are essential. They help you understand real exam pressure, identify weak areas, and fine-tune your strategy.
Q: Do I need coaching to prepare for CAT?
A:
Coaching is optional. Many students prepare on their own with books, online resources, and mock tests. What matters most is consistency and practice.
Q: What is the best way to start preparing for CAT?
A:
Begin with understanding the syllabus and pattern, strengthen your basics in quant and reading comprehension, practice regularly with sectional tests, and take full-length mocks to improve speed and strategy.
Q: When will the official CAT 2025 answer key and response sheet be released?
A:
The official CAT 2025 answer key and response sheet are usually released within a few days after the exam by the conducting authority, the Indian Institute of Management.
Q: Are memory-based questions for CAT 2025 reliable?
A:
Yes, the CAT 2025 memory-based questions are compiled from multiple student inputs and verified by experts. While minor variations may exist, they give a very close representation of the actual exam and are useful for analysis and score estimation.
A female candidate with a CAT percentile of 67.97 and low sectional scores should target private and tier-2/3 B-schools that accept overall CAT scores in the 60–70 percentile range and have flexible sectional criteria.
Some suitable options include AIMS Institute Bangalore, Doon Business School Dehradun, Christ Institute of
Yes, you are eligible for XISS Ranchi with a CAT percentile of 67.60.
According to recent admission trends, the CAT cutoff for the PGDM in Human Resource Management for the general category has been around 60 percentile. For other programs such as Marketing, Finance, and Rural Management, the
Careers360 offers a wide range of eBooks and study materials to assist with CAT preparation. You can access past CAT question papers with solutions to understand the exam pattern and difficulty level. Additionally, there are quantitative aptitude handbooks, cheat sheets, and section-specific practice sets for arithmetic, algebra, and
The minimum eligibility criteria for a general candidate to receive a call from IIM Sambalpur are as follows:
VARC: 65%ile
QUANTS: 65%ile
LRDI: 65%ile
Overall: 90%tile
Keep practising and aim to improve your score. You can also focus on other management exams where you may secure a strong
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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