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CAT Success Blueprint: Trailblazing Practice Set Questions for Top Scores- Day 16
Edited By Team Careers360 | Updated on Nov 07, 2024 09:58 AM IST | #CAT
As the CAT 2024 test date approaches near, you may be looking at how to prepare efficiently in only two months, what method to take, and which online resources are ideal for theory and practice. Questions like how long to prepare, whether a 2-month crash course is enough, and if you can pass the CAT in two months are often addressed, from this article you will clear all your queries. In this article, we’re providing important CAT-solved question papers based on previous years' exams. We’ve crafted a comprehensive study plan based on the CAT syllabus for 2024. Up to Day 15, we’ve outlined strategies for each day, including preparing for Cube (Logical Reasoning), Subject-Verb Agreement, and Polynomials (Algebra) on Day 15. Follow our 60-day CAT exam preparation strategy to stay on track and effectively manage your study schedule.
CAT 2025: VARC, DILR, and Quant: MCQs & Weightages | Chapter-wise MCQs
CAT 2025 Study Material: VARC | Quantitative Aptitude | 60 Days Study Material by Experts
Online MBA: Complete Guide | Top Ranked Colleges | Best Courses by Top Universities
This Story also Contains
- CAT Sample Paper
- CAT Sample Papers: CAT questions with answers and Solutions
- Free PDFs for CAT 2024 preparation
CAT Sample Paper
This CAT Sample paper (CAT solved question papers)consists of three Sections:
This Practice Set consists of three Sections:
Part- A consists of 8 questions.
Part- B consists of 7 questions.
Part- C consists of 9 questions.
Part-A (Quantitative Aptitude - CAT Sample Paper)
CAT Quant solved questions are given below:
Q1. If the roots of equation x2 + ax + b = 0 differ by 4, then which of the following is true? (CAT Exam)
(a) a2.b2 = 4(1 + b)
(b) 4a + b = 1
(c) b2 = 4 + a
(d) a2 = 4 (b + 4)
Q2. For what value of c does the quadratic equation x2 – (c2) x + 3(2c -1) = 0 have the sum of the roots as one-third of their product? (CAT Exam)
(a) 5 (b) 1 (c) 7 (d) 3
Q3. The difference between a fraction and its reciprocal equals 48/7. Find the fraction __________(CAT Exam- TITA]
Q4. For the given pair (x, y) of positive integers, such that 3x- 7y=1 and both x and y < 50, how many integer values of y satisfy the given conditions? (CAT Exam)
(a) 6 (b) 7 (c) 8 (d) 9
Q5. In CAT 2017 there were 62 questions. Each correct answer was rewarded with 3 marks and each wrong answer was penalised by 1 mark. In how many different combinations of the correct and wrong answers is a score of 50 possible? (CAT Exam)
(a) 14 (b) 15 (c) 16 (d) None of these
Q6. ‘Green & Fresh’ purchases y litres of fruit juice from the ‘Juice n Fruits’ for a total price of 6y^2 and sells the entire y litres at a total price of 10 × (7 + 8y/5). Find the minimum value of ‘y’ so that the ‘Green & Fresh’ does not make any loss. (CAT Exam)
(a) 50 (b) 5 (c) 15 (d) 7/3
Q7. If x2 – 2x - 3 is a factor of x4 – ax2 + b = 0 then the values of a and b are (CAT Exam)
(a) –10, –9 (b) 10, 9 (c) –10, 9 (d) 10, –9
Q8. In the land of famous architects, an architect sells his design for Rs 720 at some profit. Had he sold the design at Rs 540, the loss incurred would have been double that of the profit earned. What are the expenses to make a design? (CAT Exam)
(a) Rs 600 (b) Rs 625 (c) Rs 660 (d) None of these
Part-B (LRDI - CAT Sample Paper)
Direction (Q1-Q4): (CAT Exam)
Direction: The following questions are based on the information given below:
A cuboid-shaped wooden block has 10cm length, 8 cm breadth, and 1 cm height.
Two faces measuring 10 cm x 1 cm are coloured in blue.
Two faces measuring 8 cm x 1 cm are coloured in yellow.
Two faces measuring 10 cm x 8 cm are coloured in Pink.
The block is divided into 10 equal cubes of side 1 cm (from 10 cm side), and 8 equal cubes of side 1 cm(from 8 cm side).
Q1. How many cubes will have blue colour on two sides and the rest of the four sides having no colour? (CAT sample Paper)
(a) 24 (b) 48 (c) 8 (d) 32
Q2. How many small cubes will be formed? (CAT sample Paper)
(a) 80 (b) 19 (c) 40 (d) None of these
Q3. How many cubes having blue, yellow, and pink colours on at least one side of the cube will be formed? (CAT sample Paper TITA]
(a) 4 (b) 8 (c) 7 (d) 3
Q4. How many cubes will remain if the cubes having blue and pink coloured are removed? (CAT sample Paper)
(a) 80 (b) 12 (c) 40 (d) None of these
Direction (Q5- Q8)
A family of three generations has eight members A, B, C, D, E, F, G and H of them standing in a playground.
1. D’s daughter stands 6m south of her father.
2. A stands 4m north of his wife.
3. B is the mother of D. 5m towards the northeast of B is D.
4. C is the daughter-in-law of A and the mother of F.
5. D’s nephew stands 12m to the south of D and D’s sister-in-law stands in the middle of both of them.
6. E’s father stands 3m west of D.
7. E is the brother of D. E stands 10m towards the north-east of his father.
8. G stands 6m north of his daughter and 6m south of his brother-in-law.
9. G’s wife stands towards the west of her husband.
Q5: How is B related to F? (CAT sample Paper)
B is the grandmother of F
F is the nephew of B
B is the mother of F
Relation cannot be determined.
Q6. Which of the following about C is not true? (CAT sample Paper)
C is 6 m north of F
C is the daughter of B
C is the mother of F
E is the husband of C
CAT 2025: VARC, DILR, and Quant MCQs & Weightages
Comprehensive CAT prep guide with focused practice on Verbal Ability, Data Interpretation & Logical Reasoning, and Quantitative Aptitude.
Download NowQ7. Which of the following is not true? (CAT sample Paper)
C and H are on the same line
H is the cousin of F
The distance between E and C is 12 m.
E is the husband of C
Q8. If a male member from the 1st generation is the head of the family, then who is the head of the family? (CAT sample Paper)
(a) E (b) G (c) A (d) F
Part-C (VARC - CAT Sample Paper)
In the questions below, find the phrase with an error.
Q1: If I was the chief minister of the country, I will make primary education and poverty my top priorities. (CAT sample Paper)
If I was the chief minister of the country, I would
If I were the chief minister of the country, I would
If I were the chief minister of the country, I will
No correction required
Q2. One of the problems of the diamond industry are the increasing incidences of child exploitation. (CAT sample Paper)
Industry is the increasing incidence
Industry are the increasing incidence
Industry is the increasing incidences
No correction required
Q3. The large number of people have all but blocked all the highways in the city. (CAT sample Paper)
The sheer number of people have all
The large number of people has all
The greater number of people have all
No correction Required
Q4. Being a teacher, I was hoping if there were some tips you can give me on how to handle a class. (CAT sample Paper)
Being a teacher, I was hoping that you could give me some tips.
As you are a teacher, I was hoping if you could give me some tips
Being that you are a teacher, I was hoping if you could give me some tips
As you are a teacher, I was hoping that you could give me some tips.
Q5. As a child (1)/ I always want to (2)/ have a bicycle of my choice. (3)/ No error (4)
(a) 1 (b) 2 (c) 3 (d) 4
Q6. Without appointment, (1)/ your desire to meet(2)/ the prime minister cannot fulfill.(3)/ No error(4)
(a) 1 (b) 2 (c) 3 (d) 4
Q7. The professor is (1)/ delivering the lecture(2)/ for the last three hours.(3)/ No error(4)
(a) 1 (b) 2 (c) 3 (d) 4
Q8. The skilled labors (1)/ had always contributed (2)/ in the economy.(3)/ No error (4)
(a) 1 (b) 2 (c) 3 (d) 4
Q9. My wife paints (1)/ furniture whenever (2)/ she had time. (3)/ No error(4)
(a) 1 (b) 2 (c) 3 (d) 4
CAT Sample Papers: CAT questions with answers and Solutions
Part-A (Quantitative Aptitude - CAT Sample Paper Solution)
Ans 1: (d)
Let roots be α and β;
Sum of roots; α + β = -a
Product of roots; αβ = b
Also, α – β = 4
(α + β)2 = (α – β)2 + 4αβ
So, (-a)2 = 42 + 4b
⇒ a2 = 42 + 4b
⇒ a2 = 4(4 + b)
Ans 2: (b)
Sum of roots = c2 (Using sum of roots = -b/a)
Product of roots = 3(2c - 1)
According to question
c2 = 1/3 (3(2c - 1)) = 2c - 1
⇒ c2 - 2c + 1 = 0
⇒ (c -1)2 = 0
⇒ c = 1
Ans 3: 7
Let the fraction be ‘x’
It's reciprocal will be 1/x
So, x – 1/x = 48/7
⇒ x2 – 1 = 48x/7
⇒ 7x2 – 48x – 7 = 0
⇒ 7x2 – 49x + x – 7 = 0
⇒ 7x (x – 7) + (x – 7) = 0
⇒ (x – 7) (7x + 1) = 0
⇒ x = 7 or x = -1/7
So, x = 7 will be the answer.
Ans 4: (a)
3x = 1+ 7y
For integral solutions, (1 +7y) should be a multiple of 3.
y= 2, x = 5
y = 5, x = 12
y = 11, x = 26
y = 14, x = 33
y = 17, x = 40
y = 20, x = 47
y = 23, x = 54, where x is greater than 50. So the total solutions are 6.
Ans 5: (d)
Let correct questions be x, wrong questions are y and non-attempted are z.
So, x + y + z = 62
and 3x -y + 0 = 50 (according to question)
The minimum value of x for which 3x – y = 50 is 17.
The maximum value of x is when z = 0.
If z = 0, x + y = 62 or y = 62 – x
So, 3x – (62 – x) = 50
So, x = 28.
Therefore, No. of valid values for x will be from 17 to 28 = 12.
Ans 6: (b)
Profit = 10(7 +8y/5) – 6y2
To find the minimum profit
10(7 +8y/5) – 6y2 ≥ 0
Or, 70 + 16y – 6y2 ≥ 0
Or, 6y2 – 16y -70 ≤ 0
On solving, we get
Or, y ≥ 5 or y ≤ -7/3
So, the minimum value of y is 5.
Ans 7: (b)
Factor of x2 – 2x + 3 are (x-3) and (x + 1)
So, x =3 and x = -1 will also satisfy x4 – ax2 + b = 0
At x = 3, 34 – a x 32 + b = 0 ⇒ 81 - 9a + b = 0
At x = -1, (-1) 4-a (-1) 2+b = 0 ⇒ 1 – a + b = 0
On solving the above equations, a = 10, b = 9.
Ans 8: (c)
Profit = 720 – CP
Loss = CP – 540
According to the conditions;
Loss = 2 x Profit
CP – 540 = 2 (720 – CP)
So, CP = Rs 660.
Part-B (LRDI - CAT Sample Paper Solution)
Ans 1: (b)
Except for boundary cubes, all other cubes will satisfy this condition.
Total cubes will be 80 and boundary cubes will be 32 so the rest cubes will be 80 – 32 = 48.
Ans 2: (a)
Since the block is divided into 10 equal cubes of side 1 cm (from 10 cm side), and 8 equal cubes of side 1 cm(from 8 cm side). So, the total number of small cubes = 10 × 8 = 80.
Ans 3: (a)
only corner cubes will have three surface paints and this cuboid has only four corner faces. so, the answer will be 4.
Ans 4: (b)
Only a single side-colored yellow cube will be left out. So, the answer will be
6 + 6 = 12 cubes.
Ans 5: (a)
B is the grandmother of F
Ans 6: (b)
C is the daughter of B. All are true except (2).
Ans 7: (c)
The distance between E and C is 12 m.
The distance between E and C cannot be determined since we don’t know the distance between C and H.
Ans 8: (c)
From the given information, draw a family tree and distance diagram as shown:
Part-C (VARC - CAT Sample Paper Solution)
Ans 1: (b)
‘Was’ is associated with the past tense. In discussing hypothetical situations, the subjunctive mood is used.
The correct usage is ‘If I were…I would….’
Ans 2: (c)
One of the problems is singular, as it refers to one of many problems. So, the right verb to be used with this subject is ‘is’, not ‘are’. The correct usage is “One of the problems……..is…
Ans 3: (b)
The expression ‘the number’ indicates a single arithmetical value. So, it is followed by a singular verb. On the other hand, the expression ‘a number’ serves as an indefinite pronoun meaning many. So, it is followed by a plural verb.
Ans 4: (d)
The first error is corrected by either saying ‘as you are a teacher’, or ‘being that you are a teacher’. The second error is in the use of ‘if’ after ‘hoping’. ‘Hoping’ is normally followed by a noun clause beginning with ‘that’(either explicitly stated or implied), or it is followed by ‘for’, or ‘to’.
Ans 5: (b)
use the 2nd form of the verb. Wanted in place of want.
Ans 6: (c)
Be fulfilled in place of fulfil
Ans 7: (a)
replace is with has been
Ans 8: (b)
have in place of “had”.
Ans 9: (c)
replace had with has
Free PDFs for CAT 2024 preparation
Frequently Asked Questions (FAQs)
1. Is CAT considered a difficult exam?
Yes, CAT is termed as one of the toughest and most challenging MBA entrance exams in India, because of its vast syllabus
2. How does the marking scheme work?
According to the CAT test marking methodology, candidates will get +3 points for each right answer. Further, every wrong response will result in a -1 deduction.
3. What are the main topics covered in the verbal ability section?
Key areas include:
Sentence correction and completion
Para Jumbles
Summary-based questions
4. Will there be TITA questions in CAT?
Yes, there will be 5-8 TITA questions where candidates must type their answers without options.
5. Is 3 months enough for CAT preparation?
Yes, 3 months can be sufficient if you have a solid strategy and plan.
6. Is there a limit to CAT attempts?
No, there is no limit on the number of attempts for the CAT exam. Students can give exam each an every year
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Questions related to CAT
Have a question related to CAT ?
The CUSAT CAT previous year question papers are available on the Careers360 website. You can find question papers from 2012 to 2023, which can be downloaded in PDF format HERE
Additionally, the official website of Cochin University of Science and Technology (CUSAT) also provides previous year question papers. To access them, you can follow these steps:
- Visit the CUSAT official website - admissions.cusat.ac.in.
- Click on the resources tab from the homepage.
- Select the previous year's question papers from the drop-down menu.
- Select the Common Admission Test (CAT) question papers link.
- Now click on the B.Tech course.
By practicing with these previous year question papers, you can get familiar with the exam pattern, identify important topics, and improve your time management skills.
sadafreen356 28 March,2025
Hey Shathvika,
Let's dive deep into MBA Entrance Exams (Other than CAT)
1. XAT (Xavier Aptitude Test)
Conducted by: XLRI, Jamshedpur
Eligibility: Bachelor’s degree in any discipline.
Exam Pattern:
- Sections: Decision Making, Verbal & Logical Ability, Quantitative Ability & Data Interpretation, and General Knowledge.
- Duration: 3 hours.
- Marks: No negative marking for General Knowledge.
Key Highlights:
- The Decision-Making section tests analytical and situational judgment skills.
- General Knowledge is evaluated during interviews, not for percentile calculation.
Official Website: https://xatonline.in
---
2. SNAP (Symbiosis National Aptitude Test)
Conducted by: Symbiosis International (Deemed) University
Eligibility: Bachelor’s degree with 50% marks (45% for reserved categories).
Exam Pattern:
- Sections: General English, Quantitative, Data Interpretation & Data Sufficiency, and Analytical & Logical Reasoning.
- Duration: 1 hour.
- Marks: Total 60 marks (MCQs).
Key Highlights:
- Specifically for admission to Symbiosis institutes like SIBM Pune and SCMHRD.
- Easy-to-moderate difficulty level.
Official Website: https://snaptest.org
---
3. CMAT (Common Management Admission Test)
Conducted by: National Testing Agency (NTA)
Eligibility: Bachelor’s degree in any discipline.
Exam Pattern:
- Sections: Quantitative Techniques & Data Interpretation, Logical Reasoning, Language Comprehension, General Awareness, and Innovation & Entrepreneurship.
- Duration: 3 hours.
- Marks: 400 marks.
Key Highlights:
- Accepted by over 1,000 AICTE-approved institutes.
- Includes an optional Innovation & Entrepreneurship section.
Official Website: https://cmat.nta.nic.in
---
4. MAT (Management Aptitude Test)
Conducted by: All India Management Association (AIMA)
Eligibility: Bachelor’s degree in any discipline.
Exam Pattern:
- Sections: Language Comprehension, Mathematical Skills, Data Analysis & Sufficiency, Intelligence & Critical Reasoning, and Indian & Global Environment.
- Duration: 2.5 hours.
- Marks: 200 marks.
Key Highlights:
- Held multiple times a year in PBT, CBT, and IBT modes.
- Accepted by more than 600 MBA colleges in India.
Official Website: https://mat.aima.in
---
5. NMAT (NMIMS Management Aptitude Test)
Conducted by: Graduate Management Admission Council (GMAC)
Eligibility: Bachelor’s degree with 50% marks.
Exam Pattern:
- Sections: Language Skills, Quantitative Skills, and Logical Reasoning.
- Duration: 2 hours.
- Marks: 360 marks.
Key Highlights:
- Allows three attempts, with the best score considered.
- Accepted by NMIMS and partner universities worldwide.
Official Website: https://www.mba.com/exams/nmat
---
6. IIFT (Indian Institute of Foreign Trade)
Conducted by: National Testing Agency (NTA)
Eligibility: Bachelor’s degree (final-year students can also apply).
Exam Pattern:
- Sections: Quantitative Analysis, Reading Comprehension & Verbal Ability, Logical Reasoning & Data Interpretation, and General Knowledge.
- Duration: 2 hours.
- Marks: 300 marks.
Key Highlights:
- Specifically for IIFT’s flagship MBA in International Business.
- General Knowledge plays a significant role in shortlisting.
Official Website: https://iift.nta.nic.in
---
7. TISSNET (Tata Institute of Social Sciences National Entrance Test)
Conducted by: Tata Institute of Social Sciences
Eligibility: Bachelor’s degree.
Exam Pattern:
- Sections: English Proficiency, Mathematics & Logical Reasoning, and General Awareness.
- Duration: 100 minutes.
- Marks: 100 marks.
Key Highlights:
- Focused on social sciences, HRM, and public policy programs.
- General Awareness is crucial (with emphasis on current affairs).
Official Website: https://admissions.tiss.edu
---
8. MICAT (MICA Aptitude Test)
Conducted by: MICA, Ahmedabad
Eligibility: Bachelor’s degree and a valid CAT/XAT/GMAT score.
Exam Pattern:
- Sections: Psychometric Test, Verbal Ability, Quantitative Ability, General Awareness, Divergent-Convergent Thinking, and Descriptive Test.
- Duration: 2.5 hours.
Key Highlights:
- Psychometric Test is a qualifying section.
- Specifically for MICA’s flagship PGDM-C program in Strategic Marketing and Communications.
Official Website: https://www.mica.ac.in
---
9. GMAT (Graduate Management Admission Test)
Conducted by: Graduate Management Admission Council (GMAC)
Eligibility: No specific eligibility; bachelor’s degree recommended.
Exam Pattern:
- Sections: Analytical Writing, Integrated Reasoning, Quantitative Reasoning, and Verbal Reasoning.
- Duration: 3 hours 7 minutes.
- Marks: 800 (scaled score).
Key Highlights:
- Globally recognized for MBA programs.
- Popular for Indian B-schools like ISB, SPJIMR, and Great Lakes.
Official Website: https://www.mba.com
---
10. MAH-CET (Maharashtra Common Entrance Test)
Conducted by: Maharashtra State CET Cell
Eligibility: Bachelor’s degree with a minimum of 50% marks (45% for reserved categories).
Exam Pattern:
- Sections: Logical Reasoning, Abstract Reasoning, Quantitative Aptitude, and Verbal Ability & Reading Comprehension.
- Duration: 2.5 hours.
- Marks: 200 marks (MCQs).
Key Highlights:
- Accepted by top Maharashtra B-schools like JBIMS, SIMSREE, and PUMBA.
- Known for its speed-intensive nature with 200 questions in 150 minutes.
Official Website: https://cetcell.mahacet.org
Let me know if you have any doubts regarding a specific exam or any other query.
Have a nice day !!
RAJIV TIWARI 27 March,2025
Hello Ayush,
K.R. Mangalam University utilizes a blend of MCQs, descriptive formats, and practical assessments to evaluate student performance. The continuous evaluation system ensures that students are assessed regularly throughout the semester, contributing to a more comprehensive understanding of their academic progress.
Narendra Ranawat 26 March,2025
Hello,
Here are some simple tips to prepare for the CUSAT CAT exam:
1. Focus on Physics, Chemistry, and Maths (PCM).
2. Give equal time to all subjects.
3. Use NCERT Books as they are best for basics.
You can refer to following study materials for better practice :-
Hope it helps !
Prachi Kumari 26 March,2025
Hello there,
Yes, you can apply for CAT examination after completion of Doctor of Pharmacy (Pharm D) .
The Common Admission Test (CAT) has no restrictions regarding your educational background thus allowing you to submit your application following your completion of a Pharm. D degree.
The Common Admission Test permits candidates to take the exam after completing any undergraduate degree without any restrictions to the area of study. The professional doctoral degree of Pharm. D (Doctor of Pharmacy) functions as an equivalent to bachelor's level for CAT eligibility recognition.
Therefore, Candidates who received their Pharm. D degree can pursue the CAT exam application process based on their qualification standards.
Hope this will help!
Divyanshi Priya 22 March,2025
Popular CAT Questions
Directions for question :
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 ?
Option: 1
September 2020
Option: 2
May 2021
Option: 3
January 2021
Option: 4
January 2022
Directions for question:
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 ?
Option: 1 None
Option: 2 None
Option: 3 None
Option: 4 None
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Marketing Manager
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.
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SEO Analyst
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.
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Digital Marketing Executive
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.
2 Jobs Available
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