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CAT 2024 Practice Set- Sample Paper, Questions With Solutions | Day 4
Edited By Team Careers360 | Updated on Nov 07, 2024 10:04 AM IST | #CAT
We hope that all CAT candidates have begun following the 60-day preparation schedule we developed. We have already discussed tactics for the first three days. Now, depending on the subjects that were covered those days, we recommend that you attempt the CAT sample paper (with practice questions and answers) Mentioned below. Use it to monitor your development and evaluate your performance.
This Story also Contains
- CAT Practice Test
- CAT Practice Papers: Answers And Solutions
- Free PDFs for CAT Preparation 2024
To access our 60-day preparation plan, syllabus, and daily schedule, click here. You’ll find daily updates with articles based on the divided CAT syllabus, along with CAT sample papers. Students can also download the free PDF of the online CAT mock test.
CAT Practice Test
Part-A: CAT Quant Questions Topic Wise
Q1. Find the remainder when 6576 is divided by 7.
- 4
- 3
- 2
- 6
Q2. Find the remainder when 38177 is divided by 17.
- 12
- 13
- 6
- 4
Q3. My year of birth is 1974. What would the year have been instead of 1974 if base 12 were used (for counting) instead of the decimal system?
- 1186
- 1022
- 2082
- 1192
CAT 2024 Percentile Predictor
Students can predict their overall performance by using CAT 2024 Percentile Predictor tool before the declaration of the actual result.
Try NowQ4. Unit digit of 7243 × 6384 × 7497 × 7676 × 87109 × 8890
- 2
- 6
- 4
- 8
Q5. The difference of 1035 – 4 and 1034 - x is divisible by 3 for x =?
- 3
- 2
- 4
- 6
Q6. If 42n + 1 + x and 4n – x is divisible by 5, n being an even integer, find the least value of x.
- 1
- 2
- 3
- 0
Q7. What is the remainder when 3 + 32 + 33 + ….32n+1 is divided by 6?
- 1
- 2
- 3
- 4
Q8. The remainder when the number 123456789101112 ……383940 is divided by 16 is:
- 3
- 4
- 5
- 6
Part-B: LRDI Sets For CAT
Direction (Q1-Q3):
Chart 1: Shows the distribution by the value of a Commodity by top 6 countries in 2000
Chart 2: Shows the distribution by the quantity of top 6 suppliers of a Commodity in 2000
Total value is Rs. 5000 crores
Total quantity is 1000 crore tonnes
Q1. The country which has the highest average price is?
- USA
- Sweden
- INDIA
- CHINA
Q2. The average price (Rs. per ton) for PNG is roughly?
- 1.2
- 0.50
- 3.75
- 80
Q3. The country which has the lowest average price is?
- USA
- JAPAN
- INDIA
- CHINA
Directions for questions 4 to 6: Answer the questions on the basis of the information given below.
P and N are two brands of kitchen Slicers available in the local market. P was introduced in 1990, while N was introduced in 1997. For both these brands, 20% of the slicers bought in a particular year were considered as nonoperative exactly two years later. It is known that 10 P-Slicers were disposed of in 1997. The following figures show the number of P and N Slicers in operation from 1995 to 2000, as of the end of the year.
Q4. How many N Slicers were purchased in 1999?
- 45
- 54
- 50
- 20
Q5. How many N- Slicers were disposed of by the end of 2000?
- 20
- 16
- 40
- 30
Q6. How many P-Slicers were disposed of in 2000?
- 20
- 16
- Cannot be determined from data
- 30
Direction (Q7-9):
Four children, Aman, Sanu, Anil and Rohit become a part of a survey about their weight and heights. Their weights and heights were measured every two years between the ages of 4 years and 16 years. The graph informs us about the ratio of their weights (in kgs) to their heights (in inches).
The following graph informs about the weights (in kgs) with ages at X-axis
Q7. The difference between the heights of Sanu and Rohit at the age of 10 is?
- 1-inch
- 1.5 inches
- 2 inches
- 2.5 inches
Q8. By how many inches did Anil grow in height from the age of 6 years to 10 years?
- 7.5 inches
- 10 inches
- 12.5 inches
- 15 inches.
Q9. Who among the four children was the shortest at 8 years of age?
- Aman
- Sanu
- Anil
- Rohit
Part-C (VARC)
Q1: The management has suggested that he recuse himself from the allegations, whether he is elected or not.
- have insisted that he recuses himself from the allegations, whether he is elected or not.
- has insisted that he recuses himself from the allegations, whether or not he is elected.
- has insisted that he recuses himself from the ongoing allegations, whether he is elected or not.
- No correction required
Q2. Find out the proper noun in the following sentence:
The beauty of the lake is unparalleled.
- Beauty
- Lake
- Both A & B
- None of the Above
Q3. Whoever is chosen as the new Vice-Chancellor of University, it is likely to continue some of the policies regarding the dress code.
- Whoever is chosen as the new chief, they are
- Whomever is chosen as the new chief, he is
- Whoever is chosen as the new chief is
- No correction required
Q4. The Footballer, whose record is exemplary, bagged a seven-year endorsement contract with a sports equipment manufacturer.
- who’s record is exemplary, bagged eight years’ endorsement contract
- who’s record is exemplary, bagged eight year’s endorsement contract
- whose record is exemplary, bagged an eight-years endorsement contract
- No correction required
Q5. One of the problems that occur as a result of increasing population is the decrease in the opportunities of Job.
- that occurs as a result of increasing population are the
- that occurs as a result of increasing population is the
- that occur as a result of increasing population are the
- that occur as a result of increasing population is the
Q6. The sheer number of trucks on the Express way have all but paralyzed the traffic system.
- The sheer number of trucks on the Express way has
- The shear number of trucks on the Express way have
- The shear number of trucks on the Express way has
- No correction required
Q7. ‘To be, or not to be, that is the question.’
Identify the verb in the sentence
- Is
- To be
- Or
- That
Q8. The striking panorama of elegantly spread flowers in the state of Uttarakhand provides evidence of why Uttarakhand, a state, is called “Valley of Flower”.
- provide evidence of why Uttarakhand, a state, is called “Valley of Flower”.
- provide evidence of why Uttarakhand, a state, are called “Valley of Flower”.
- provides evidence of why Uttarakhand, a state, is called “Valley of Flower”.
- provides evidence of why Uttarakhand, a state, are called “Valley of Flower”.
CAT Practice Papers: Answers And Solutions
Part A (Quantitative Aptitude)
Ans 1: C
Rem (65/7) ? 2
276 ? (23)25x2
Rem ((23)/7) ?1
Rem (125/7) ? 1
Rem [(2x (23)25)/7] ? 2x1 =2; where Rem (x/y) represents the value of remainder when x is divided by y.
Ans 2: (c)
Rem (381/17) ? 7
777 ? (72)38x7
Rem ((72)/17) ?-2
Rem ((-2)38/17) ? Rem [((-2)4x9x(-2)2)/17] ? Rem [(4x169)/17]
When 16 is divided by 17, remainder is -1 and (-1)^9 is -1.
Therefore, when (4x169) is divided by 17, remainder is 4x(-1) = -4.
So, the remainder when (72)38 is divided by 17 = (17-4) = 13.
So, when 777 is divided by 17 remainders = Rem (7x13/17)= 6
where Rem (x/y) represents the value of remainder when x is divided by y.
Ans 3: A
For that, divide 1974 by 12 as shown
Divisor | quotient | Remainders |
12 | 1974 | 6 |
12 | 164 | 8 |
12 | 13 | 1 |
1 | 1 |
Write the remainders from bottom to top
So, in base 12 years of birth is (1186)
Ans 4: (b)
Cyclicity of 2 is 4 i.e. unit digit is repeated after every 4th power of 2
So, Unit digit of 7243 is same as unit digit of 23 which is equal to 8.
The cyclicity of 3 is 4 i.e. unit digit is repeated after every 4th power of 3
So, the unit digit of 6384 is the same as the unit digit of 34 which is equal to 1.
The unit digit of 4^odd is always 4.
The unit digit to any power of 6 is 6.
Cyclicity of 7 is 4 i.e. unit digit is repeated after every 4th power of 7
So, the Unit digit of 87109 is the same as the unit digit of 71 which is equal to 7.
Cyclicity of 8 is 4 i.e. unit digit is repeated after every 4th power of 8.
So, the unit digit of 8890 is the same as the unit digit of 82 which is equal to 4.
Therefore, the Unit digit of 7243 × 6384 × 7497 × 7676 × 87109 × 8890 will be equal to the unit digit of 8x1x4x6x7x4 i.e. equal to 6.
Ans 5: (c)
Difference = (1035 – 4) – (1034 - x) = (1035 – 1034 + x- 4) = 1034(10 – 1) + (x-4) = 9x1034 + (x-4)
9x1034 is divisible by 3 since it is multiple of 3.
(x-4) is divisible by 3 if x is 4 in the given options.
Ans 6: (a)
Since n is even, unit digit of 42n + 1 = 4 (Since 4^odd is always gives 4 as unit digit)
and unit digit of 4n = 6 (Since 4^odd is always gives 6 as unit digit)
Therefore, 42n + 1 + x is divisible by 5 if x is 1, 6, 11, 16, …….
and 4n – x is divisible by 5 if x is 1, 6, 11, 16, …….
So, the least value of x is 1.
Ans 7: (c)
When 3 is divided by 6, the remainder is 3.
When 32 is divided by 6, the remainder is 3.
When 33 is divided by 6, the remainder is 3.
When 34 is divided by 6, the remainder is 3 and so on.
So, the remainder is 3 + 3 + 3 + ……up to 2n+1 terms.
If 3 is added to an odd number of terms, after dividing by 6 it will give a remainder of 3.
Ans 8: (b)
Divide the last 4 digits of the number to find the remainder when the number is divided by 16 (according to the divisibility rule of 16)
So, Rem (3940/16) = 4
Part B (LRDI Practice Sets)
Ans 1: B
Average Price will be calculated by Average Price = Total value/ Total quantity
As seen from charts Sweden will have highest ratio = 20/11
So, Sweden will have the highest average Price.
Ans 2: C
Average Price will be calculated by Average Price = Total value/ Total quantity
For PNG = Price/ Quantity = (12% of 5000)/(16% of 1000) = Rs 3.75 per ton.
Ans 3: C
Share in Value | Share in Quantity | (Share in Value)/ (Share in Quantity) | |
India | 20% | 26 % | 20/26 = 0.769 |
China | 15% | 17 % | 15/17 = 0.88 |
Japan | 16% | 15 % | 16/15 = 1.06 |
USA | 17 % | 15 % | 17/15 = 1.13 |
Sweden | 20 % | 11 % | 20/11 = 1. 82 |
PNG | 12 % | 16 % | 12/16 = 0.75 |
The country which will have the least ratio of ‘share in total value’ to ‘share in total quantity’ will have the least average value.
Average Price will be calculated by Average Price = Total value/ Total quantity
As seen from the table, PNG will have the lowest average Price.
Ans 4: C
Total N-slicers in 1999 = 124
Initially slicers in 1997 the slicers were 30 and in 1998, 50 slicers were bought
In 1999, 20% of slicers from 1997 must be disposed of (20% of 30= 6) which means 24 remains in operative condition.
So, N-Slicers bought in 1998 must be 80 – 30 = 50
So, N-Slicers bought in 1999 must be 124 – 50 - 24 = 50
Ans 5: B
Number of slicers disposed of in 1999 is 20% of 30 (bought in 1997) = 6
Number of slicers disposed of in 2000 is 20% of 50 (Which were bought in 1998) = 10
So total by end of 2000 is = 10 + 6= 16
Ans 6: C
Since P-slicers were introduced in 1990, we don't have data from 1990 to 1995. Therefore, we cannot find this answer.
Ans 7: C
we know that R = 
and we also know the weights from the second graph.
Thus, the heights can be found as Height = 
.
Height of Sanu when he was 10 years old = 42/0.8 = 52.5 inches.
Height of Rohit when he was 10 years old = 60/1.1 = 54.54 inches.
Thus, the required difference = 54.54 – 52.5 = 2.04 inches
Ans 8: D
Anil's height when he was 6 years old = 40/1.3 = 30.76
Anil's height when he was 10 years old = 46/1 = 46
Thus, Height increases by 15.24 inches.
Ans 9: A
The heights of Aman, Sanu, Anil and Rohit when 8 years old are 48/1.3, 46/1, 38/1, 54/1.2 i.e. 36.9, 46, 38, 45 respectively. Thus the shortest among them is Aman.
Part C (VARC)
Ans 1: D
A verb associated with suggestion is used with a noun clause beginning with ‘that’, the clause (whether the clause is singular or plural) uses the base verb. So, in the given sentence, ‘recuse’ is correct.
So, no correction is required.
Ans 2: B
Lake is proper noun
Beauty is an abstract noun.
Ans 3: C
In the underlined portion, “Whoever is chosen as the new Vice-Chancellor of University” is followed by ‘it’ which is incorrect because ‘Whoever’ cannot be followed by ‘it’ pronoun.
‘Whoever’ is a singular pronoun. So, ‘they’ cannot be used for ‘whoever’ (option A is incorrect)
‘Whomever’ is the wrong word in this context. (Option B is incorrect)
Option C contains no error.
Ans 4: D
The underlined part is grammatically correct.
Ans 5: D
Two Verbs are used:
1. occur ? it is referred to ‘problems’, so it is correctly used.
2. is ? referred to ‘one of the problems’ which is singular. So, it is also correctly used.
Ans 6: A
the subject of the sentence is ‘the sheer number’ which is singular, since the noun (‘number’) is singular. The verb ‘have’ relates to this, and not ‘trucks’.
Therefore ‘have’ should be replaced by ‘has’.
Answer 7: A
‘Is’ acting as the main verb in the sentence
Ans 8: C
‘Panorama’ is singular. So, the verb associated with this is ‘provides’, not ‘provide
Free PDFs for CAT Preparation 2024
CAT 2023 Official Question Paper and Answer Key (Slot 1) | |
CAT 2023 Official Question Paper and Answer Key (Slot 3) |
Frequently Asked Questions (FAQs)
1. What's the difference between a bar and a line graph?
A bar graph compares data across categories, while a line graph links data points with a line showing patterns over time.
2. What is a bar graph?
A bar graph is a basic technique to display data using bars or rectangles of varying widths. Each bar symbolizes a single category or item, and its length or height indicates how much of that thing there is. The longer the bar, the more it symbolizes. Bar graphs are used to readily compare data, such as the sales of different items or the number of pupils in various courses.
3. What is a line graph?
A line graph is a kind of chart that connects points to demonstrate how something evolves over time or with various data.
4. What is the objective of a line graph?
It allows you to readily examine trends, patterns, or changes in data, such as how sales rise or decrease over time.
5. What is a pie chart?
A pie chart is a circular graph split into slices, with each slice representing a portion of the total.
6. What's the difference between a bar and a line graph?
A bar graph compares data across categories, while a line graph links data points with a line showing patterns over time.
7. What is a bar graph?
A bar graph is a basic technique to display data using bars or rectangles of varying widths. Each bar symbolizes a single category or item, and its length or height indicates how much of that thing there is. The longer the bar, the more it symbolizes. Bar graphs are used to readily compare data, such as the sales of different items or the number of pupils in various courses.
8. What is a line graph?
A line graph is a kind of chart that connects points to demonstrate how something evolves over time or with various data.
9. What is the objective of a line graph?
It allows you to readily examine trends, patterns, or changes in data, such as how sales rise or decrease over time.
10. What is a pie chart?
A pie chart is a circular graph split into slices, with each slice representing a portion of the total.
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Questions related to CAT
Have a question related to CAT ?
Hello,
An approximate score in CAT 2024 that's around 88-90 percent, along with the profile being male engineer in NC-OBC, can result in selection to some newer or baby IIMs - Indian Institutes of Management like these ones:-
- IIM Jammu
- IIM Bodh Gaya
- IIM Rohtak
- IIM Vishakhapatnam
- IIM Trichy
- IIM Kashipur
The newer IIMs have a slightly smaller cut-off every year, yet the cutoffs are normally lower for the newer ones, and the older, bigger IIMs have bigger cutoffs. According to the predicted percentile, you have a reasonable chance for the colleges, especially in OBC category.
You can use the Careers360 College Predictor to understand how good your chances are. It gives you a more personalized insight into how likely it is that you'll get into a B-school given your CAT score, profile, and category. You can use it here:
Careers360 CAT College Predictor.
This tool gives you a more detailed analysis based on real-time data and trends.
Deepti Singh 30 November,2024
Hello,
Admission to BITS Pilani MBA is only possible with a good academic record and high CAT percentile. Here is how your profile may match up:
- CAT Percentile: A 55 percentile CAT score is pretty low for BITS Pilani, as they prefer the higher percentiles. But being an SC candidate may help you a bit in terms of relaxation of cutoff criteria because of the reservation policy.
- Academic Profile: Your 10th, 12th, and graduation percentages (51%, 60%, and 59%) come below the average profile for selected candidates, which lowers your chances.
- SC Category: The SC category may slightly give you some relief over admission, but meeting minimum eligibility - say, 60 % in graduation - and also other criteria is important for selection.
- Other Factors : Strong performance in the interview and statement of purpose shall be important factors in terms of selection.
For a clearer understanding of cutoff trends and eligibility to BITS Pilani's MBA program, it is always best to refer to the official website or contact the admissions office. Alternatively, you may consider institutes with less strict criteria. Let me know if you need help in finding alternatives! You can also check out CAT College Predictor to get more accurate predictions of the college you might get.
Deepti Singh 30 November,2024
Hello,
-
MBA Abroad:
-
Pros:
- Global exposure, networking, and diverse cultures.
- Access to top companies and international job markets.
- Higher earning potential post-graduation.
-
Cons:
- High tuition fees and living costs.
- Limited job opportunities for non-citizens in some countries.
- Requires work experience for most top programs.
-
Pros:
-
MBA in India:
-
Pros:
- Relatively lower fees compared to abroad.
- Familiar culture and job market.
- Top Indian schools like IIMs are highly ranked globally.
-
Cons:
- May not offer global exposure.
- Competitive admissions, especially without work experience.
-
Pros:
-
Chances of Admission (with Bad Academics, No Work Experience):
-
CAT/GMAT Scores:
- A high score can improve your chances, but without work experience and a strong academic record, it’s challenging to secure admission to top Indian or global schools.
- Networking, strong essays, and interview performance become crucial factors.
-
CAT/GMAT Scores:
Hope it helps !
Prachi Kumari 30 November,2024
Hello there,
The NAARM (National Academy of Agricultural Research Management) CAT cutoff for the ST category varies yearly depending on factors like the number of applicants and difficulty level. Typically, the cutoff for the ST category is around 50–60 percentile for shortlisting to the interview stage.
Check the official NAARM website or admission brochure for the most accurate and updated details regarding cutoffs.
For more details, you can check out an article by Careers360 whose link is given below:
Link: https://bschool.careers360.com/articles/cat-cutoff-for-st-category-for-iims-and-top-mba-colleges
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 30 November,2024
Hello,
Admission to the National Institute of Agricultural Extension Management (MANAGE), Hyderabad, with a CAT 2024 percentile of 77 may not be easy. MANAGE usually has strict admission standards, and even though the cut-off percentile may differ every year, depending upon the number of applicants and overall performance, general cut-offs for institutes like MANAGE are usually more than 77, especially for the most popular programs.
MANAGE, however, takes into account multiple factors while making the selections, including CAT score, academic record, work experience, and performance in personal interviews. So, having good academic credentials or having relevant work experience may even help you get selected.
You should refer to the authentic MANAGE website or current updates for cut-off trends of your course and attempt to apply to as many institutes as possible to expand your choices.
You can also check CAT college predictor for accurate info: https://bschool.careers360.com/cat-college-predictor
Deepti Singh 29 November,2024
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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