Great Lakes - PGPM & PGDM 2025
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Hello CAT 2024 aspirants,
The Common Admission Test (CAT) is a National admission test for MBA programs. There is a very competitive environment, with many applicants fighting for restricted slots. The CAT is difficult because of the difficult questions, vast variety of subjects, and lesser time constraints. Managing time and preparing for the syllabus is crucial for success.
The CAT 2024 Exam is scheduled for November 24, 2024, To help you in preparing, we have produced a 60-day program complete with sample assessments and practice papers. This article features previous CAT question papers with answers to clear up any of your doubts, This will help in increasing your preparation, and boost your confidence.
This CAT question paper with solution based on the CAT syllabus 2024 has been covered in 23 days, and consists of three Sections:
Part- A consists of 8 questions.
Part- B consists of 6 questions.
Part- C consists of 10 questions.
Q1. log49 (7log2 (2 + log3 (1 + 2log2x))) = 1/2. Find the value of x.
4
1
2
½
Admissions Open | Globally Recognized by AACSB (US) & AMBA (UK) | 17.3 LPA Avg. CTC for PGPM 2024 | Application Deadline: 1st Dec 2024
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Q2. The value of x satisfying log10(x2 + 3x + 21) = (2 − log104) is:
5
0
1
3
Q3. If log54, log5 (3x – 1), log5 (3x +7) are in arithmetic progression, then the value of x is equal to:
5
0
2
3
Q4. A family consists of a mother, a father, and some children. The average age of the members of the family is 30, the father’s age is 50 years, and the average age of the mother and children is 20. Children in the family are ______________ [TITA]
2
3
1
5
Q5. Consider a group of 30 persons whose average weight is 30 kg. If n new persons join this group whose average weight is m kgs. If it is known that m > 30 and m + n = 37, what is the maximum possible average weight of the group now?
30.363 kgs
30.193 kgs
30.352 kgs
30.166 kgs
Q6. X is p% less than Y and Z is p% more than Y. If X is 2.5p% more than Z, then find p.
(Note: p ≠ 0)
20
40
60
50
Q7. Find the average increase rate of increase in the price of an article in the first year is 40% and that in the second year is 30%.
41
56
40
38
Q8. A can type a sheet in 4 minutes, B in 5 minutes and C in 6 minutes. The average number of sheets typed per hour per person for all three persons is
25/3
30/3
65/3
37/3
Direction (Q1-Q3):
Annie, Ben, Cain, Dan and Engel are five friends who purchased a book each that was related to one of the following fields: Architecture, Biotechnology, Criminology, Demography and Economics. Further, the following information is known.
No friend's first letter of the name matches with the field to which the book purchased is related.
Annie and Dan love to read books related to Criminology apart from the books they purchased.
Engel hates Criminology and Biotechnology and hence did not purchase them
The first letter of the field to which the book that Ben purchased pertains, matches with the first letter of the name of the friend who purchased a book about Biotechnology.
Q1. After a month of reading, Annie exchanges her book with Dan and then Dan exchanges this book with Engel. The exchanges resulted in the first letter of the friends matching with the field to which the book belonged without violating conditions (b) to (d).
Which of the following is true?
Engel bought a book related to Demographics.
Annie bought a book related to Demographics.
Dan bought a book related to Economics.
Engel bought a book related to Architecture.
Q2. Which of the following is not necessarily true?
Either Annie or Ben bought a book related to Criminology.
Dan bought a book related to either Architecture or Economics.
Either Dan or Engel bought the book related to Architecture.
Either Engel or Cain bought the book related to Demographics.
Q3. While delivering the books, the salesman interchanged the books of two friends in such a manner that the field to which the book belonged and the starting letter of only one of the friends matched. However, conditions (b) to (d) were not violated.
Which of the following conditions lets you completely determine the fields of the books possessed by the five friends?
Annie’s and Engel’s books were interchanged.
Neither Annie nor Engel possesses a book related to Economics after the salesman interchanged their books.
Neither Dan nor Engel had books related to Biotechnology after the interchange
Interchange happened between the books of Annie and Dan.
Q4. Ajay, Bablu, Chinti, Dev, Elish and Faijal are six persons in six chairs around a table with only six chairs. Ajay is opposite Dev. Chinti is to the immediate right of Ajay and is next to Elish.
Which of the following is definitely FALSE?
Ajay and Elish are not opposite each other.
Elish is between Chinti and Dev.
Chinti is between Ajay and Elish.
Bablu and Faijal are opposite each other.
Q5. A, B, C, D and E are five apartments on a floor. Each pair of apartments has a path connecting them. How many paths are there in all?
12
10
5
2
Q6. A doctor, a lawyer and an engineer meet at a place. The doctor has not come from the hotel or the club. Each of them has come from only one of the following places, the club, the hotel and the theatre. Also, no two people have come from the same place. If the engineer has come from the hotel, then the lawyer has not come from
the theatre or the hotel.
the theatre or the club.
the club or the hotel.
the club or the theatre or the hotel.
In the questions below, find the phrase with an error.
Q1: If he was to decide to go to college, I for one, would recommend that he go to Yale University.
If he were to decide to go to college
Had he decided to go to college
In the event that he decides to go to college
No correction required
Error Detection
Q2. Our mathematics teacher often emphasizes (a)/ on the need (b)/ for a lot of practice (c)/ No error (d)
(a)
(b)
(c)
(d)
Q3. I do not mind (a)/ to be disturbed (b)/ while watching T.V. (c)/ No error (d)
(a)
(b)
(c)
(d)
Q4. Reforms can elevate (a)/ poverty and usher (b)/ in economic prosperity (c)/ No error (d)
(a)
(b)
(c)
(d)
Fill in the appropriate word/Phrase
Q5. _____, doesn’t she?
Anna doesn’t visit her friends daily
Anna has a red pen
Anna doesn’t play volleyball
Anna does not do a quick revision before the exam
Reading Comprehension
IT’S LIKE READING Dostoevsky on a bad summer day. There are so many tormented souls out there caught in a morality play. Its emotional intensity is only matched by the inevitability of the x xx it raises about country, religion, power, and retribution. It’s big, shapeless, chaotic, and in the end, a rewarding experience of the imagination. But then, you’re not reading Great Russian. You’re living in, dare I say, a creative phase of politics. Rich in ideas and arguments, intense in its interplay of passions, nuanced in its undertones of morality and ethics, and ambitious in its pursuit of freedom, politics today, as a genre in creativity, is as good as the original works in other realms of the human mind, be it fiction or philosophy.
A sign of the times could be the profusion of political titles in publishing. They are mostly built on the themes of populism, outsiderhood, globalisation and resentment. Hardly a week passes without a full-length review in the book pages on yet another tome on a world gone astray, a world that’s being led to an incendiary denouement by revolutionaries and revisionists. The moment deserves such interventions because, by common intellectual consensus, in the evolution of post-World War II politics, we are at the next history-shifting stage after 1989, Europe’s annus mirabilis.
Then, the stage was an extension of literature: what was imagined in a controlled society sought freedom as the Lie unravelled. In Russia once imagined by Gogol, and lately reclaimed by Solzhenitsyn, the sight of the last general secretary of the Soviet Union letting the empire crack and go away needed another prophet, another novelist. Elsewhere, in a vassal state, revolution earned an adjective as romantic as ‘velvet’, and in the vanguard of its freedom struggle were writers and singers. In the end, the philosopher would be king. It was a time when an idea that promised man an alternative more liberating than religion proved to be history’s biggest ghost story.
Today, it’s the idea of freedom, as it has always been, that propels politics. It’s a different cast. No figures larger than their historical size. No one is pretending to be the last arbiter of our destiny. And no one is talking in a language that would be taught generation after generation. The disappearance of grandeur from the arena even prompted some pundits a while ago to wail over the death of politics. This moment in politics has an overwhelming sense of ordinariness about it. The new salvation theologians are all ordinary guys, tapping into the fears of people who have lost their balance in a world moving at a pace they cannot cope with. They can easily be categorised into types.
Q6. What does the author mean by the phrase “a creative phase of politics”?
(I) Politics today, as a genre in creativity, is as good as the original works in other realms of the human mind, be it fiction or philosophy.
(II) Politics today, on moral and creative grounds, is big, shapeless, chaotic, and in the end, a rewarding experience of the imagination.
(III) Politics today is rich in ideas and arguments, fervent in its interplay of passions and nuanced in its undertones of morality and ethics.
Only (I) is correct
Only (II) is correct
Both (I) and (II) are correct
Both (I) and (III) are correct
All are correct
Q7. Which of the following statements summarizes Paragraph 04 in the best possible manner?
Modern politics has evolved after the death of primeval politics and it finds no relevance in its classical glory as the idea of freedom and the sense of ordinariness have substituted the core ideologies.
In an unequal world, the old bipolarity of politics has ceased to work, for the Left and the Right have not only lost the social space, they have lost the argument to a new set of liberators for whom it is not ideology that matters but ideas that feed on resentment.
The importance and culture of politics have diminished since the arrival of ordinary people in the arena that witnessed the death of ancient political ideologies.
As history choreographs a heady piece of politics, a certain amount of pessimism has taken over the fears of people who have lost their balance in a world moving at a pace they cannot cope with.
None of the above.
Directions: Choose the word/group of words which is most similar in meaning to the word/group of words printed in bold as used in the passage.
Q8. Vanguard
Pattern
Avant-garde
Criterion
Inspiration
Standard
Directions: Choose the word/group of words which is most opposite in meaning to the word/group of words printed in bold as used in the passage.
Q9. Denouement
Misfortune
Adjournment
Genesis
Epilogue
Transpiration
Q10. Grandeur
Inclusiveness
Sophistication
Magnification
Indifference
Classicalism
Answer 1: (B)
log49 (7log2 (2 + log3 (1 + 2log2x))) = ½
⇒ 7log2 (2 + log3(1 + 2log2x)) = 491/2= 7
⇒ log2(2 + log3 (1 + 2log2x)) = 1
⇒ 2 + log3 (1 + 2log2x) = 2
⇒ log3 (1 + 2log2x) = 0
⇒ (1 + 2log2x) = 30 = 1
⇒ 2log2x = 0
⇒ log2x = 0
⇒ x = 1
Answer 2: (C)
log10(x2 + 3x + 21) = (2 − log104)
⇒ log10(x2 + 3x + 21) = (log10 102 − log10 4)
⇒ log10(x2 + 3x + 21) = (log10 100 − log104)
⇒ log10(x2 + 3x + 21) = (log10 100/4)
⇒ log10(x2 + 3x + 21) = (log1025)
⇒ x2 + 3x + 21 = 25
⇒ x2 + 3x - 4 = 0
⇒ (x + 4) (x - 1) = 0
⇒ x = - 4 or 1.
Hence, the correct answer is 1.
Answer 3: (C)
log5 4, log5 (3x – 1), log5 (3x +7) are in Arithmetic progression(AP).
⇒ log5(3x – 1) - log5 4 = log5(3x + 7) - log5 (3x – 1)
⇒ log5[(3x – 1)/4] = log5 [(3x +7)/(3x – 1)]
⇒ (3x – 1)/4 = (3x +7)/(3x – 1)
Let 3x = y
⇒ (y – 1)/4 = (y +7)/(y – 1)
⇒ (y – 1)2 = 4 (y +7)
⇒ y2 + 1 – 2y = 4y + 28
⇒ y2 – 6y – 27 = 0
⇒ y2 – 9y + 3y – 27 = 0
⇒ (y – 9) (y + 3) = 0
⇒ y = 9 or –3
3x cannot be negative.
So, 3x = 9
⇒ x = 2
Hence, the correct answer is 2.
Answer 4: (C)
Let the average age of children be x and there are n children in the family.
Let the age of the mother be y.
So, nx + y = (n + 1) 20 - - - - - - -(1)
Also, nx + y + 50 = (n + 2) 30 - - - - - - (2)
Subtracting 1st equation from the 2nd, we get,
50 = 30n + 60 – 20n – 20
⇒ 50 = 10n + 40
⇒ n = 1
Hence, there is only 1 child in the family.
Answer 5: [A]
Total weight of 30 + n persons = 30x 30 + m x n = 900 + mn
Average = (900 + mn)/ (30+ n)
Use hit and trial
m = 31; n = 6; Average = 1086/36 = 30.166
m = 32; n = 5; Average = 1060/35 = 30.285
m = 33; n = 4; Average = 1086/34 = 30.352
m = 34; n = 3; Average = 1002/33 = 30.363
m = 35; n = 2; Average = 970/32 = 30.312
m = 36; n = 1; Average = 936/31 = 30.193
So, the maximum possible average weight can be 30.363 kgs.
Answer 6: (A)
X = (100 – p) Y/100
Z = (100 + p) Y/100
X = (100 + 2.5p) Z/100
From 1st and 2nd relation, we get X = Z (100 – p) / (100 + p)
So, Z (100 – p) / (100 + p) = (100 + 2.5p) Z/100
⇒ 100(100 – p) = (100 + p) (100 + 2.5p)
⇒ – 100p = 100p – 250p + 2.5p2
⇒ 50p = 2.5p2
⇒ p = 20
Hence, the correct answer is 20.
Answer 7: (A)
Let the initial Price = 100
Price after 1st year after 40% increase = 140
Price after 2nd year after 30% increase = 140 × (130/100) = 182
∴ Net increase in Price = 182 - 100 = 82
Average change per year = 82 / 2 = 41
Hence, the correct answer is 41.
Answer 8: (D)
A can type 60/4 = 15 sheets in 1 hour
B can type 60/5 = 12 sheets in 1 hour
C can type 60/6 = 10 sheets in 1 hour
Total sheets typed in 1 hour = 15 + 12 + 10 = 37
So, Average sheets per person = 37/3
Hence, the correct answer is 37/3.
Answer 1: (A)
Let us represent the person’s name with A, B, C, D and E and also the fields to which each book belongs to A, B, C, D and E.
Person | Book |
A | D/E |
B | Criminology |
C | Biotechnology |
D | A/E |
E | D/A |
Annie exchanges with Dan and Dan exchanges with Engel so the book possessed by Annie goes to Engel. Hence, Annie purchased a book related to Economics. Don Purchased a book related to Architecture and Engel purchased a book related to Demographic.
Answer 2: (D)
See Solution of Q1.
Statement (A) is true.
Statement (B) is true.
Statement (C) is true.
Statement (D) is not necessarily true.
Answer 3: (B)
Condition (A) Annie and Engel's books were interchanged. There can be two possibilities with this condition with Annie taking books related to Demography or Architecture.
Condition (B) states that neither Annie nor Engel possess books related to economics.
Since Annie and Engel did not get a book related to economics that means Dan possessed a book related to economics, Annie possessed a book related to Architecture and Engel possessed a book related to demographics.
Answer 4: (D)
Ajay is opposite Dev. Chinti is to the immediate right of Ajay and next to Elish. So, the arrangement is as follows:
Answer 5: (B)
A, B, C, D and E are five apartments. Each pair has a path between them. The pairs may be AB, AC, AD, AE, BC, BD, BE, CD, CE, or DE. So, there are altogether 10 paths. i.e. 5C2 = 10.
Answer 6: (A)
It is clear that the doctor is not from the Hotel or Club, the Engineer is from the Hotel.
So, the Lawyer must be from the club. So, the combination is as follows.
(Engineer − Hotel) (Doctor − Theatre) (Lawyer − Club)
So, the Lawyer has not come from the Theatre or Hotel.
Answer 1: (A)
According to the imaginary condition we use ‘were’ (past simple) in place of was. We use past simple with the modal with its past form as the main clause.
Answer 2: (B)
Start/emphasis/deny/order etc. these verbs generally do not take prepositions.
Answer 3: (B)
Use “being disturbed” instead of “to be disturbed”.
Mind verb uses gerund.
Answer 4: (A)
Replace elevate with alleviate
Explanation: Elevate- to give sb/sth a higher position or rank.
Alleviate- to make sth less severe.
Answer 5: (B)
“has” is used to show possession. It is Present Indefinite’s Affirmative sentence hence doesn’t she is used.
Answer 6: (D)
Explanation: Refer to 1st paragraph of the passage, You’re living in, dare I say, a creative phase of politics. Rich in ideas and arguments, intense in its interplay of passions, nuanced in its undertones of morality and ethics, and ambitious in its pursuit of freedom, politics today, as a genre in creativity, is as good as the original works in other realms of the human mind, be it fiction or philosophy. So only statements (i) and (iii) explain what the author meant to convey. Hence option (d) is correct.
Answer 7: (A)
Explanation: Read the 4th paragraph carefully, it mentions how politics has evolved over time, and modern politics has no significance in comparison to the old and historical ones. Today politics has its own ideologies which are marked as ordinary by the author.
Hence, only option (a) summarizes the paragraph appropriately and explains its context briefly and precisely.
Answer 8: (B)
Explanation: Vanguard means a position at the forefront of new developments or ideas. Avant-garde means a group of artists, musicians, or writers working with new and experimental ideas and methods. Hence both are similar in meaning.
Answer 9: (C)
Explanation: Denouement means the outcome of a situation when something is decided or made clear. Genesis means the origin or mode of formation of something.
Hence, both have opposite meanings.
Answer 10: (D)
Explanation: Grandeur means splendour and impressiveness, especially of appearance or style. Indifference means unimportance.
Hence, both have opposite meanings.
CAT 2024 GD PI Preparation: Experts and Toppers Tips | MBA Exams Computer Based Mock Test 2024 - CAT, MAT, XAT, SNAP, NMAT |
On Day 24, you may examine previous CAT question papers with comprehensive solutions. This will help you in identifying errors, reducing doubts, and strengthening your preparation.
Reviewing previous question papers enables you to get comfortable with the different sorts of problems offered, learn the best problem-solving tactics, and prevent frequent mistakes during the exam.
Practicing with mock exams helps you recognize the exam structure, manage your time more effectively, and boost your confidence for the final exam.
A logarithm shows you how many times you have to multiply one number by itself to obtain another
An Average is the mean of a set of numbers. To calculate it, sum up all of the numbers and divide by how many numbers are there in the group. For example, the mean of 4, 6, and 8 is 6.
With a 59.95 percentile in CAT 2024 and ST category, you can expect calls from newer IIMs like IIM Bodh Gaya, IIM Jammu, and IIM Sirmaur, as they have lower cutoffs for reserved categories. Non-IIM options like IIT Madras (MBA), NIT Trichy (MBA), and state universities like Delhi School of Economics (DSE) might also consider your profile. Apply to institutions that prioritize diversity and offer ST reservation. Ensure your application highlights strong academics and achievements.
For more details you can visit the link given below
https://bschool.careers360.com/cat-percentile-predictor
Hi,
Based on the previous year analysis, According to your CAT 2024 percentile some of the best colleges offering MBA and PGDM course in Telangana in which you have chances to get a seat are the following
For more information about the colleges in which you have chances to get a seat you can predict using MBA college predictor tool provided below
https://bschool.careers360.com/cat-college-predictor
Hope this information will help you
Hi,
With a CAT 2024 score of 93.94 percentile, you have a good chance of getting calls from several IIMs. Here are some possibilities:
IIM Jammu
IIM Bodhgaya
IIM Udaipur
IIM Kashipur
IIM Vizag
Apart from IIMs, you can also consider other prestigious B-schools like:
Management Development Institute (MDI) Gurgaon
FMS Delhi
IIT Delhi
IIM Lucknow
IIM Indore
IIM Raipur
CAT exam is conducted every year for purpose of admission to various prestigious business school and management institutes in India. The exam is also considered among toughest entrance exams in India. The exam rats the logical skills of the candidates. You can get the college list based on your CAT score by simply visiting CAT College Predictor 2024
Hi Sonu,
Preparing for CAT 2025 through self-study requires the right study materials, a structured plan, and consistent effort. CAT Syllabus comprises of Quantitative Aptitude (QA), Data Interpretation and Logical Reasoning (DILR), Verbal Ability and Reading Comprehension (VARC).
You can get more detailed information in the mentioned website of Careers360, it will be helpful enough for preparation of CAT 2025.
If looking for online sources, you can go through few channels on YouTube like- Study Buzz, Takshzila, and Career Launcher. Apps like unacademy and Byju's can help as well.
All the best for your CAT preparation.
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