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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 2024 College Predictor
Know Your Chances for getting Calls from IIMs & other Top MBA Colleges through CAT Percentile, based on your category, academic profile, work-ex & CAT result.
Use 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 ?
Hello there,
With a 53 percentile in CAT , the chances of receiving a call from XISS (Xavier Institute of Social Service) may be limited, as their typical cutoff for CAT is generally higher than this, especially for their flagship programs like MBA or PGDM .
However, admission depends on several factors such as:
-
Academic Profile
: Your
10th (67.8%)
,
12th (82.5%)
, and
graduation SGPA (7.5)
are decent, and they can contribute positively to your application.
-
Work Experience/Extra-curriculars
: If you have any relevant work experience or strong extra-curricular achievements, it might improve your chances.
- Overall Application Strength : XISS also considers your overall profile, including your statement of purpose (SOP) and interview performance .
Though the
CAT percentile
is a key factor, you might still be considered based on your overall profile if you apply to their
PGDM programs
. It's always worth checking with the college directly for the specific eligibility criteria and cutoffs for the year you're applying.
I would recommend you to use CAT College Predictor Tool by Careers360 to get the list of possible colleges you can get with your rank.
I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.
Thank you and wishing you all the best for your bright future.
kumardurgesh1802 24 January,2025
The Common Admission Test (CAT) is a highly competitive entrance exam in India for admission to prestigious management programs like the MBA, primarily at the Indian Institutes of Management (IIMs) and other top business schools. It tests a candidate's aptitude in areas such as quantitative ability, verbal ability, logical reasoning, and data interpretation. CAT is valuable for students aspiring to build a career in business, management, or entrepreneurship, as it opens doors to world-class education, exceptional networking opportunities, and lucrative career prospects. Excelling in CAT demonstrates analytical thinking, problem-solving skills, and leadership potential, essential qualities for success in the corporate world.
Tanya Gupta 23 January,2025
Hello there,
With a 77.38 percentile in CAT and sectionals of 61/89/67 , it may be challenging to secure admission to NIT Tiruchirappalli for an MBA, as their cutoff tends to be higher. However, there are still some possibilities, and you could consider these steps:
-
NIT Tiruchirappalli (MBA): Generally, the cutoff for NIT Trichy’s MBA program is around 85-90 percentile, depending on the year and category. Your chances might be slim, but it’s always good to check with the college directly for their specific cutoff.
-
Other Colleges to Consider:
-
IMT Ghaziabad (Consider their sectional cutoffs):
Known for its management programs, IMT could be a good option with your profile.
-
XIME Bangalore:
This college has a more accessible cutoff and offers a good ROI.
-
UPES Dehradun:
If you're looking at newer or specialized MBA programs, UPES could be another option.
-
KIIT School of Management, Bhubaneswar:
They accept CAT scores and have reasonable cutoffs.
-
IIMs (if in lower percentiles in the category, check IIMs like IIM Jammu, IIM Bodh Gaya, or IIM Kashipur).
-
Symbiosis Pune (SIBM):
They have slightly more flexible cutoffs, depending on their intake.
-
IMT Ghaziabad (Consider their sectional cutoffs):
Known for its management programs, IMT could be a good option with your profile.
-
Other Entrance Exams: You could also look at other entrance exams like XAT, NMAT, or SNAP to apply to colleges like XLRI Jamshedpur, NMIMS Mumbai, or Symbiosis Institutes.
Additionally, considering your strong sectional score in DILR (89), you could focus on colleges with a more flexible approach to sectionals and percentile aggregation.
I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.
Thank you and wishing you all the best for your bright future.
kumardurgesh1802 23 January,2025
Hello there,
With a 65 percentile in CAT and belonging to the General category , getting admission to USMS (University School of Management Studies) can be challenging, as their cutoffs are generally higher, typically around 85-90 percentile or more. However, admission can depend on factors like:
-
Category-wise cutoff : Sometimes, the cutoff for the General category can be higher, but you may still apply as there might be specific reservation relaxations or fluctuations based on the number of applicants.
-
Interviews and GD : Even if you meet the minimum cutoff, interviews and group discussions are a mandatory part of the selection process. They assess your communication skills, leadership qualities, and overall fit for the program.
Recommendations:
-
Check the official cutoff
for USMS for your specific year.
-
Prepare for interviews
: It is likely that you will have to appear for the next rounds if you qualify. Preparing well for the interview is important, as it can make a difference in your selection.
I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.
Thank you and wishing you all the best for your bright future.
kumardurgesh1802 21 January,2025
Top MBA colleges based on CAT, XAT, SNAP, and NMAT scores include some of India’s best institutions. For CAT, the IIMs (Ahmedabad, Bangalore, Calcutta) and FMS Delhi are highly regarded. XAT results in prestigious colleges like XLRI Jamshedpur and XIMB. SNAP is known for Symbiosis Institutes, such as SIBM Pune and SCMHRD. NMAT scores open doors to NMIMS Mumbai, SPJIMR Mumbai, and ISB Hyderabad. Each exam has unique eligibility requirements, and their cutoffs vary, so it's important to research the specific criteria and select based on your preferences and strengths.
Ankit 17 January,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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