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CAT Mock Test Series 6- Sample Paper, Quant, LR, VARC | Day 24
Ongoing Event
CAT Application Date:01 Aug' 25 - 13 Sep' 25
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.
CAT Mock Test Series: Sample Questions and Solutions
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.
CAT Test Series 2024 (Quantitative Aptitude) CAT Exam Sample Paper:
Q1. log49 (7log2 (2 + log3 (1 + 2log2x))) = 1/2. Find the value of x.
4
1
2
½
Q2. The value of x satisfying log10(x2 + 3x + 21) = (2 − log104) is:
5
0
1
3
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 NowQ3. 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
CAT Mock test series 2024: CAT DILR sample Questions (Logical Reasoning and Data Interpretation)
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.
CAT Exam sample paper 2024: CAT sample questions for VARC (Verbal Ability & Reading Comprehension) Previous year question paper of CAT Exam
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
CAT Question Paper with solutions Part-1: CAT Test Series 2024 (Quantitative Aptitude)
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.
CAT Question Paper with solutions Part-2: CAT Mock test series 2024: CAT DILR Sample Questions
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.
CAT Question Paper with solutions Part-3: CAT Exam sample paper 2024: CAT sample questions for VARC
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.
Study material for CAT 2024
CAT 2024 GD PI Preparation: Experts and Toppers Tips | MBA Exams Computer Based Mock Test 2024 - CAT, MAT, XAT, SNAP, NMAT |
Frequently Asked Questions (FAQs)
Q: What is meant by Average?
A:
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.
Q: What is a logarithm in mathematics?
A:
A logarithm shows you how many times you have to multiply one number by itself to obtain another
Q: Why is a mock test essential to prepare for CAT?
A:
Practicing with mock exams helps you recognize the exam structure, manage your time more effectively, and boost your confidence for the final exam.
Q: What is the purpose of Day 24 in the 60-day preparation guide?
A:
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.
Q: How can analyzing previous year papers help me prepare for the CAT?
A:
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.
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As you said you by mistakenly done that, you don't need to get worry regarding that ,
Just inform the help desk and carry the correct certifications , the state certificate will not disqualify you .
The steps you can follow is -
1. You can check if the correction window is available or not
2. Contact the CAT desk immediately.
Hope this helps
In CAT registration, you cannot create a new user ID with the same mobile number, even if you use a different email ID. Each mobile number and email can be linked to only one account. If you already registered once, the system will not accept a duplicate with that number. To register again, you must use a new mobile number and new email ID. If you lost your old login, you can recover it through the forgot password/user ID option on the CAT portal.
Yes, you can fill the CAT form even if you currently have a backlog. CAT eligibility requires you to be in your final year of graduation or already graduated backlogs don’t stop you from applying.
While filling the form:
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Enter the aggregate percentage/CGPA of marks you have obtained up to the latest semester for which results are declared (in your case till 4th semester).
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There will be an option to mention that you have a backlog.
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If you clear the backlog later, you’ll just need to show the updated marks during admission.
Hello Aspirant,
Yes, you can apply for the CAT exam as a final-year student. You must declare your backlog on the online application form. You do not write about it on the final-year student certificate; that document is to certify your enrollment status. You must clear all backlogs before the final admission process to any MBA college.
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KL- MAT syllabus: Quantitative Aptitude, Reasoning, English/Verbal Ability, and General Awareness (similar to MAT/CMAT pattern).
CAT scores are valid in many private universities including KL University, but always check the year’s admission notification.
CAT vs other exams: CAT is toughest (IIMs + top B-schools), while MAT/CMAT/ATMA are relatively easier and accepted by many mid-level private universities.
Hello it will clear your doubt!
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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