CAT 2024 Mock Test Series 9 - QA, LRDI & VARC | Day 36

Hi there, CAT 2024 aspirants! The CAT test for MBA admissions (2025-2027) is set for November 24th. In this article, you will find a sample paper for day 36 of our 60-day Careers360 CAT 2024 preparation guide series. Our main goal from this sample paper is to help you study well and ace the 2024 CAT test.CAT Preparation 2024 in 60 days

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This Story also Contains

1. CAT Mock Test Part-A: Quantitative Aptitude for CAT Practice Questions (Quant Questions for CAT Exam 2024 Practice)
2. Part-B (LRDI)
3. Part-C (VARC)
4. Error Detection

CAT Mock Test: This article contains the subject and topic-specific CAT Sample questions with solutions. To get the best idea of what the CAT exam requires, candidates must download the cat mock test pdf and complete CAT sample papers from all three subjects. This CAT sample paper with solutions is based on what we have covered in the last 31 days. By practising the CAT Mock Test provided below, one can prevent the negative marking in objective-type questions given in the free CAT Mock Test. In order to complete the actual paper within the allotted time, it is also necessary to keep track of the time spent on CAT previous year questions.

This CAT sample paper consists of three Sections:

- CAT sample paper Part- A consists of 7 questions.

- CAT sample paper Part- B consists of 10 questions.

- CAT sample paper Part- C consists of 1 RC with 6 questions and 4 questions on Error detection.

CAT Mock Test Part-A: Quantitative Aptitude for CAT Practice Questions (Quant Questions for CAT Exam 2024 Practice)

CAT previous year question 1. The number of ways of arranging 8 persons in a row is

(permutation and combination previous year questions)

(a) 8! (b) 7! (c) 8 (d) 4

Ans: (a)

The number of ways of arranging n persons in a row is n!

CAT previous year question 2. How many 4-digit odd numbers can be formed using [0, 2, 3, 5] such that all digits to be used altogether?

(a) 256 (b) 12 (c) 8 (d) 32

Ans: (c)

Since all digits to be used together, repetition is not allowed.

For number to be odd; Unit place is either 3 or 5; So, number of ways of filling unit place is 2.

Left most place can not be 0, so number of ways to fill left most place is 2 (Since 1 digit is already used at unit place and 0 cannot be taken.)

Remaining two places can be filled in 2 x1 ways.

Therefore, total numbers to be formed = 2 x 2 x 2x 1= 8

CAT previous year question 3. How many three- digit numbers can be formed using digits {1, 2, 3, 4, 5, 6} such that each digit can be repeated any number of times.

(a) 36 (b) 125 (c) 216 (d) 300

Solution: [c]

Each can be filled in 6 different ways.

So, total numbers formed = 6 x 6 x 6 = 216

CAT previous year question 4. Anshuman runs 5/3 times as fast as Mukesh. In a race, if Anshuman gives a lead of 50m to Mukesh, find the distance from the starting point where both of them will meet. [TITA]

Solution:

Let after time T, they will meet. Distance covered by Mukesh is 50 m less than that by Anshuman.

SA/SM = DA/DM

5/3 = DA/ DM

If DA = 5x, then DM = 3x.

So. 5x – 3x = 50

Therefore x = 25

Distance from starting point = Distance by Anshuman = 25 x 5 = 125 m.

CAT previous year question 5. Jack and Sam are running in opposite direction around a circular track of length 220π meters. Speed of Jack is 37.5% of the speed of Sam. Find distance between two meeting points. It is given that they start simultaneously from a common starting point.

(a) 50π (b) 75π (c) 100π (d) 25π

Ans: [d]

Since speed of Jack: Speed of Sam = 3: 8.

Therefore, the no. of distinct meeting points is (3+8 = 11).

Therefore, total length of the track is divided in 11 equal parts.

So, distance between two meeting points = 220π/11 = 20π

CAT previous year question 6. In a race of 270m, if A gives B a start of 30 metres, then A wins the race by 10 seconds. Alternatively, if A gives B a start of 60 meters the race ends in a dead heat. How long does A take to run 270m? (Time and Distance previous year questions pdf)

(a) 100 sec (b) 80 sec (c) 90 sec (d) 70 sec

Ans: [c]

A gives B a start of 30 meters and still wins the race by 10 seconds.

Alternatively, if A gives B a start of 60 metres, then the race ends in a dead heat.

Therefore, the additional 30 meters start given to B compensates for the 10 seconds.

i.e., B runs 30 meters in 10 seconds.

Hence, B will take 90 seconds to run 270 metres.

We know that A gives B a start of 60 metres. A will complete 270m in the time in which B completes 210 m i.e. 70 seconds.

CAT previous year question 7. Saket is climbing on a moving escalator that is going up and takes 20 steps to reach the top. Ashish on the other hand is coming down on the same escalator. For every 5 steps that Ashish takes, Saket takes only 4 steps. Both of them take the same amount of time to reach the other end. Find the total number of steps in the escalator?

(a) 10 (b) 40 (c) 90 (d) 30

Ans: [b]

Let us assume their speeds are 5 steps per second and 3 steps per second respectively, and the speed of the escalator is ‘x’

Since both of them take the same time for the same distance, their effective speed is the same.

=> 5 – x = 3 + x

=> x = 1

Speed of Saket: Speed of escalator = 3: 1

When Saket takes 30 steps, the escalator takes 10 steps.

Total number of steps = 30 + 10 = 40 steps.

Part-B (LRDI)

Direction (Q1-Q5):

Comprehension:

The two pie charts show the break-up of Income across various heads for DISKI Ltd in the financial year Apr ’09 to Mar ‘10. To analyse the performance of the company in the first half of the financial year vis-à-vis the second half of the financial year, the pie charts are prepared separately for the two half years. First half of a financial year is Apr to Sep and second half is Oct to Mar.

NOTE: The numbers given besides the sectors are the angle the sector makes at the center of the circle.

CAT previous year question 1. If the company pays equal amount of tax in the two half years, find the ratio of the income of the company in the first half year to that in the second half year.

1. 1: 1

2. 4: 5

3. 5: 4

4. Cannot be determined

CAT previous year question 2. If expenses in the first half year is 60% of the total expenses of the year, which of the following ratios most closely represent the ratio of the Interest paid by the company in the two half years.

1. 1: 1

2. 3: 2

3. 2: 1

4. 3: 1

CAT previous year question 3. If Depreciation accounts for 4.66% of the total Income of the company over the entire financial year Apr ’09 to Mar ’10, Taxes account for what percent of the total Income of the company over the entire financial year

1. 7%

2. 7.33%

3. 7.66%

4. 8%

Additional directions for questions 4 to 5:

Income of the company in the first half year i.e. Apr ’09 – Sep ’09 is Rs. 120 cr and the income in the second half year i.e. Oct ’09 to Mar ’10 is Rs. 144 cr.

CAT previous year question 4. If profit percentage is Net Profit as a percentage of Expenses, find the profit percentage of for the entire year Apr ‘09 – Mar ‘10.

1. 25%

2. 27.5%

3. 32.5%

4. 33.75%

CAT previous year question 5. By what percentage is the Interest paid in the first half of the year more/less than the Interest paid in the second half of the year?

1. 25% more

2. 20% more

3. 20% less

4. 25% less

The numbers given are degree that the sector makes at the center. Since 360 degrees = 100%, to change degrees to percentages, we will have to divide by 3.6. One need not do this calculation unless absolutely must. Read through the explanation to see how one can avoid this.

Assume the income in first half year as 360x and in second half year as 360y.

CAT Previous Year Questions with Solutions

1. c

24x = 30y i.e.

. This will be the ratio of the income in the two half years.

2. c

The ratio of the expenses in the two half years will be 60 : 40 i.e. 3 : 2. Thus,

The closest option is 2 : 1

3. b

Once could use (18x + 15y) = 4.66% (360x + 360y) to find the ratio of x and y and then proceed to find the ratio (24x + 30y)/(360x + 360y).

An easier way is to realise use Alligation to find the ratio x/y.

4.66% is

i.e. 14/3%.

This in degree terms is

= 16.8 degrees.

Thus, the weighted average of 18 and 15 is 16.8. Hence the weights are in the ratio 1.8 : 1.2 i.e. 3 : 2

Now we want to find the weighted average of 24 degrees and 30 degrees with weights being 3 : 2. The average is thus (72 + 60)/5 i.e. 132/5 degrees i.e. 26.4 degrees. In percentage terms this will be 264/36 i.e. 22/3 = 7.33%

For questions 4 & 5:

360x = 120 i.e. x = 1/3 and 360y = 144 i.e. y = 2/5.

4. d

Expense in first half = 228/3 = 76, Net profit in first half = 60/3 = 20

Expense in second half = 210 × 2/5 = 84, Net profit in second half = 85 × 2/5 = 34.

Thus, total profit = 54 and total expenses = 160. Thus, required percentage = 54/160 i.e. 33.75%

5. a

Interest paid in first half = 30/3 = 10. Interest paid in second half = 20 × 2/5 = 8.

Thus, required percentage 25% more.

Direction for Q6-Q10

A company conducted a survey among 75 households to know how many households own the electronic devices laptop, smart phones and tablets during the years 2015 and 2016.

• In 2015 it was found that the number of households owning exactly one device, exactly two devices and exactly three devices are in the ratio 3 : 2 : 1

• The households that own both laptop and tablet also own a smart phone.

• In 2015, ten households owned both laptop and tablet.

• In 2015 the number of households owning only laptop is the same as the number of households owing only smart phones, which is one less than the number of households owning all the three.

• The number of households owning all the three devices in 2016 is three times of those that were owning all three devices in 2015.

• The number of households owning exactly two devices is decreased by five and the number of households owning exactly one device remained the same.

• In all it was found that none discarded any of the products already owned by them and no one purchased more than one new electronic device mentioned.

• In 2016, the total number of households owning tablets increased by 50% and that owning laptop increased by 60% as compared to 2015.

• Each household owning only smart phone in 2015 purchased tablets.

CAT previous year question 6. What was the number of households owning laptops or tablets in 2015?

A. 48 B. 50 C. 51 D. 54

Ans: C

CAT previous year question 7. What is the increase/decrease in the number of households owning smart phone, from 2015 to 2016?

A. 18 B. 10 C. 11 D. 17

Ans: D

CAT previous year question 8. What is the increase in the number of households owning only smart phones?

A. 1 B. 2 C. 3 D. 7

Ans: B

CAT previous year question 9. In which year was the difference in the number of households owning only laptop and smart phones, and the number of households owning tablet and smart phone higher? [TITA]

Ans: 2016.

CAT previous year question 10. What is the number of households that purchased smart phone in 2016, as their second device?

A. 4 B. 8 C. 11 D. 6

Ans: D

CAT sample Paper with Solution (Q6-Q10):

from (2) and (3), there is no one who owned laptop and tablet only and ten households own all the three. (∴ g = 10)

From (1), exactly one (a + b + c) = 30 and exactly two (d + e + f) = 20. Hence, n = 15.

From (4), a = b = (g – 1) = 9.

Hence, c = 12 Since f = 0, d + e = 20.

If e = k, then d = 20 – k

From (8), the number of households owning tablet must be an even number since f = 0, c = 12 and g = 10, e should also be even.

Let us say e = 2k, then d = 20 – 2k [from (8)], the number of households owning laptops increased by 60%. Hence it should be a multiple of 5 in 2015.

Thus, the conditions that the number of households that own laptop should be a multiple of 5 and the number of households owning tablets is an even number is possible only when k 2 or 7. If k = 2, the value for 2015 would be as follows.

Families without any device will be 15, so total of tablet will be 26

From (5), (6) and (7) for 2016 g = 30, exactly one (a + b + c) = 30 and exactly two (d + e + f) = 15.

Hence, n = 0.

It is given that no one purchased more than one device. Hence, the entire 20 i.e., exactly two of 2015 shifted to g in 2016. From (a), all those who owned only smart phone (9) of 2015 purchased tablets. Hence, ‘e’ for 2016 is atleast 9. Hence ‘d’ for 2016 should be atleast 6, comes from a of 2015. But the number of households owning laptop should be 160% of 35 i.e., 56. It means 17 should be added from a, which is not possible. Thus k cannot be 2. k must be 7.

Families without any device will be 15, so total of tablet will be 36

2016

Arrow indicates movements of devices towards house hold

The maximum value x can take is 6 (because 6-x cannot be negative)

Ans 6. The number of people owning laptops or tablets = 75 – (9 + 15) = 51.

Ans 7. The increase/decrease in the number of smart phone owners is 17.

Ans 8. The increase in the households that own only smart phones is 2.

Ans 9. Only laptop and smart phone ~ tablet and smart phone in 2015 = 24 – 6 = 18 In 2016 = 39 + x – 6 + x = 33 + 2x. ⇒ minimum = 33 maximum = 45 it is definitely higher in 2016. Ans: (2016)

Ans 10. From the venn diagram, 6 – x + x = 6 ∴ 6 households.

Part-C (VARC)

Reading comprehension

Some people shy away from travelling alone, a few embrace it. So, what is it that makes it an attractive option? What are the advantages of going it alone? Well first things first, travelling solo can be very liberating. The itinerary you set and all the decisions you make are yours and yours alone. You don't need to worry about any other person or group. In other words, there's no need to compromise, there are no arguments, and no need to second-guess what other people want or need. Actually, you can be completely selfish. Travelling alone is also a great confidence builder. Yes, at times it can feel a bit lonely, but that is just one of many problems you will have to solve yourself, along with making your own arrangements, and setting your own goals.

Have you noticed that when you’re on your own, people are more willing to start a conversation with you? You're more likely to take the initiative as well, and before you know it, up pops an invitation for a meal, a side trip, a stay at someone’s home. For some odd reason people keep a slight distance from couples and groups, probably because they seem so self-contained and exclusive. Whereas the lone traveler looks ready to connect with their fellow human beings, and more likely to engage in pleasant conversation and simple exchanges about their travels. Putting it simply, lone travelers look interesting.

Here are two more exciting reasons why you should consider travelling solo: You will find you learn language faster when you don’t have someone else talking to you in your own language all the time. It’s funny, but we interact, are forced to interact much more frequently when we travel alone in a country that doesn’t speak our native tongue. If that doesn't convince you, there is the chance for adventure and even romance. When you’re on your own you’re free to meet someone who might turn out to be very important in your life. The most important factor to consider in your decision to make a trip alone is your own sense of independence. If you find that you have little tolerance for the idiosyncrasies of others, or you don't get how group dynamics work, you might be happier travelling alone. Of course, there may be things holding you back: Fear of the unknown, or maybe you have a spouse, relative, or friend who may be upset by your decision to take off by yourself, you will have to convince them of the value of travelling alone and allay any fears they might have, but with the technology at our fingertips, you can include them in the adventure.

CAT previous year question 1: According to the passage, what kind of people likes to travel alone?

1. Who is not well versed in communicating with others.

2. Who cannot adjust with the behavior and thoughts of other people.

3. Who is introvert.

4. Who doesn’t like to share their things with others.

5. All of the above

Ans: (b)

Explanation- Refer the 3rd paragraph

CAT previous year question 2: What is/are the demerits of travelling alone?

1. We need to solve the problems with ourselves.

2. We need to be dependent on unknown people for various things

3. Sometimes we can feel lonely.

4. Both (b) and (c)

5. All of the above

Ans: (c)

Explanation- refer the last lines of first para of the passage.

CAT previous year question 3: What are the things that restrict us to travel alone?

1. Relatives or spouse not allowing to travel alone.

2. The fear of unknown people might restrict us.

3. Not finding a reason to travel alone.

4. Only (i)

5. Only (ii)

6. Both (i) and (ii)

7. Both (ii) and (iii)

8. All are correct

Ans: (c)

Explanation- Refer the last para of the passage

CAT previous year question 4: What is/are the exhilarating reasons of travelling alone?

1. You need not to be dependent on others for any sort of work.

2. You will get to learn the others language.

3. By travelling alone we are free to know a person that might become a special part of our life.

4. You are free to do anything at any time while travelling alone.

5. Both (c) and (d)

Ans: (e)

Explanation- Refer the first few lines of 3rd para.

CAT previous year question 5: What are the advantages of travelling alone?

1. Make our connections strong with other people the journey.

2. We can selfishly make our own decisions.

3. Great confidence builder.

4. Only (i)

5. Only (ii)

6. Both (i) and (ii)

7. Both (ii) and (iii)

8. All are correct

Ans: (d)

Explanation- both sentences (ii) and (iii) are correct. Refer the first para.

CAT previous year question 6: Choose the most appropriate title of the passage.

1. Merits and demerits of travelling alone.

2. Travelling alone

3. Is travelling alone right?

4. Travelling alone brings independence

5. Technology at our finger tips

Ans: (b)

Explanation- “Travelling alone” is the appropriate title of the passage as the whole passage revolves around this theme.

Error Detection

CAT previous year question 7: Parliament made it clear that (a)/ Delhi was an UT and there was no doubt about it (b)/ and the city government was empowered to (c)/ take care of daily utilities of the capital. (d)/ No error (e)

Ans. (b): Replace ‘an’ with ‘a’

CAT previous year question 8: Delhi government cannot have (a)/ “exclusive” executive powers as it would be (b)/ against national interests, (c) / the Centre told the Supreme Court. (d) / No error (e)

Ans.(a) Use Article THE before Delhi.

CAT previous year question 9: A gang of burglars allegedly (a)/ made away with a luxury vehicle, (b)/ a licensed revolver and Rs. 10 lakh from a car showroom (c)/ in west delhi’s Kirti Nagar (d)/ No error (e)

Ans.(e) No error

CAT previous year question 10: From a careful examination of the witness (a)/ and documentary evidence, it is evident that (b)/ the accident had been occurred (c)/ due to rash and negligent driving of the offending vehicle. (d)/ No error (e)

Ans. (c) Delete ‘been’

I hope everyone would be able to take some takeaways from this practice questions session

See you tomorrow for Day 36

Till then, keep learning, keep practising.

Thank you!

All the best!