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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.
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 ?
Hi aspirant,
- In general, PUMBA (Pune University's Department of Management Sciences) requires a higher CAT percentile, usually between 94 and 96.
- Nevertheless, final selection is based on a comprehensive process that includes your CAT score (which usually carries 50% weightage), performance in the Group Discussion (GD) and Personal Interview (PI) rounds (30% weightage), academic record (10% weightage), and work experience (10% weightage).
- Even though your CAT score is strong, a strong performance in the subsequent selection rounds will be essential for admission.
- It is recommended to contact the institution directly for latest and up-to-date information.
You can refer to the link attached above for more information on the same.
All the best!
Rajeswari Dey 27 May,2025
Hi aspirant,
- Vadodara is an MHT CET exam center located outside of Maharashtra .
- This makes it easier for Gujarati applicants to take the exam.
- When completing your MHT CET application form, you will have the option of selecting your chosen exam centers , including those situated outside of Maharashtra.
You can refer to the link given above for more information on the same.
All the best!
Rajeswari Dey 25 May,2025
Hello dear,
The CAT exam requires a significant amount of time for preparation, including brushing up on basic concepts and practicing advanced problem-solving. Starting too early can feel overwhelming and may not be sustainable with other academic commitments.
The CAT exam requires a level of focus and maturity that is not always present in class 9. Starting preparation at this stage can be challenging to maintain. At class 9, you're primarily focused on learning foundational concepts. So you just need to boost your fundamentals by practicing more and more at class 9 because the Quantitative Aptitude section of CAT syllabus includes all the topics of Mathematics from Class 9 to 10 such as Arithmetic, Geometry, Algebra, Trigonometry and Mensuration.
Start Preparation 12 Months Prior:
- Begin your CAT preparation around 12 months before the exam date.
- Dedicate 5 to 6 hours daily for studying, focusing on smart work rather than just hard work.
Identify Weak Sections:
- Recognize your weak section at the start of your preparation.
- Allocate more time and attention to improving your weak areas while maintaining practice in all sections
I hope you got your answer, That's all Thank you.
Rajeswari 22 May,2025
IIFT CAT Cutoff 2024
IIFT Delhi
General: 95–98 percentile
OBC: 90+
SC: 85–95
ST/PwD: 75–93
IIFT Kolkata
General: 85–95 percentile
OBC/SC/ST: 50–95 (varies)
Note: Final selection also includes WAT, GD, PI, academics, and work experience.
harsh singh 21 May,2025
To prepare for CDS, CGL, and CAT during graduation, create a clear study schedule focusing on basics, reasoning, and aptitude. Practice daily mocks, improve time management, and stay consistent. Balance college and preparation with discipline and regular revision.
Sujal Singh 20 May,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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