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CAT Success Blueprint: Trailblazing Practice Set Questions for Top Scores- Day 16

CAT Success Blueprint: Trailblazing Practice Set Questions for Top Scores- Day 16

Edited By Irshad Anwar | Updated on Sep 27, 2023 09:42 AM IST | #CAT

As the CAT 2023 exam date is approaching, you will get to know how to study for CAT in 2 months, what strategy to use, which sources are the best for theory and practice, or about the CAT exam preparation time required, Can I crack CAT in 2 months, how many months preparation is required for CAT, how to prepare for CAT in 2 months, or is there any CAT study plan for 2 months and many more. You might be looking for a CAT 2 months crash course. This articles brings you some important CAT solved question papers which are based on the previous year question papers of the CAT exam.

CAT Success Blueprint: Trailblazing Practice Set Questions for Top Scores- Day 16
CAT Success Blueprint: Trailblazing Practice Set Questions for Top Scores- Day 16

We have developed a study plan to ace the CAT Exam based on the CAT syllabus 2023. From Day 1 through Day 15, we have discussed a plan for each day. In the previous article, we covered the CAT Exam strategy for preparing for cubes (LR), subject-verb agreement, and polynomials (Algebra) on Day 11 of CAT preparation.

A CAT sample paper (CAT solved question papers) for Day 16 of our CAT preparation for CAT 2023 is now available. We invite you to take the CAT sample paper (CAT solved question papers) on this day based on the CAT syllabus 2023 that we covered in the first 15 days. Take the test (CAT solved question papers) having CAT topic wise questions, and track your progress with self-analysis. You can identify your strengths and weaknesses and adjust your study plan using these CAT solved question papers. Students can also download the pdf of CAT practice questions free.

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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 for CAT 2023

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) a2b2 = 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)

[1] 6

[2] 7

[3] 8

[4] 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)

[1] 14

[2] 15

[3] 16

[4] None of these

Q6. ‘Green & Fresh’ purchases y litres of fruit juice from the ‘Juice n Fruits’ for a total price of $ 6y2 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’ do 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 questions with answers

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]

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

CAT questions with solutions

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 north-east of B is D.

4. C is the daughter-in-law of A and 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)

  1. B is the grandmother of F

  2. F is the nephew of B

  3. B is the mother of F

  4. Relation cannot be determined.

Q6. Which of the following about C is not true? (CAT sample Paper)

  1. C is 6 m north of F

  2. C is the daughter of B

  3. C is the mother of F

  4. E is the husband of C.

Q7. Which of the following is not true? (CAT sample Paper)

  1. C and H are in the same line

  2. H is the cousin of F

  3. Distance between E and C is 12 m.

  4. 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)

CAT Practice Questions

(CAT questions with solutions)

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)

  1. If I was the chief minister of the country, I would

  2. If I were the chief minister of the country, I would

  3. If I were the chief minister of the country, I will

  4. No correction required

Q2. One of the problems of the diamond industry are the increasing incidences of child exploitation. (CAT sample Paper)

  1. Industry is the increasing incidence

  2. Industry are the increasing incidence

  3. Industry is the increasing incidences

  4. No correction required

Q3. The large number of people have all but blocked all the highways in the city. (CAT sample Paper)

  1. The sheer number of people have all

  2. The large number of people has all

  3. The greater number of people have all

  4. 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)

  1. Being a teacher, I was hoping that you could give me some tips.

  2. As you are a teacher, I was hoping if you could give me some tips

  3. Being that you are a teacher, I was hoping if you could give me some tips

  4. As you are a teacher, I was hoping that you could give me some tips.

  5. Error detection

Q5. As a child (a)/ I always want to (b)/ have a bicycle of my choice. (c)/ No error (d)

A. (a) B. (b) C. (c) D. (d)

Q6. Without appointment, (a)/ your desire to meet(b)/ the prime minister cannot fulfill.(c)/ No error(d)

A. (a) B. (b) C. (c) D. (d)

Q7. The professor is (a)/ delivering the lecture(b)/ for the last three hours.(c)/ No error(d)

A. (a) B. (b) C. (c) D. (d)

Q8. The skilled labors (a)/ had always contributed (b)/ in the economy.(c)/ No error (d)

A. (a) B. (b) C. (c) D. (d)

Q9. My wife paints (a)/ furniture whenever (b)/ she had time. (c)/ No error(d)

A. (a) B. (b) C. (c) D. (d)

CAT Sample Papers: CAT questions with answers and Solutions

Part A (Quantitative Aptitude) CAT Quant solved questions

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

Solution 3:

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: [1]

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 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.

Option D

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 above equations, a = 10, b = 9.

Ans 8: (c)

Profit = 720 – CP

Loss = CP – 540

According to condition;

Loss = 2 x Profit

CP – 540 = 2 (720 – CP)

So, CP = Rs 660.

CAT Sample Papers: Answers And Solutions

Part B (LRDI)

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

80

Solution 3: 4

Only corner cubes will have three surface paints and this cuboid has only four corner faces. so, the answer will be 4

Ans 4: 12

Only a single side-colored yellow cube will be left out. So, the answer will be

6 + 6 = 12 cubes.

Ans 5: A

Ans 6: B

All are true except B.

Ans 7: C

The distance between E and C cannot be determined since we don’t know the distance between C and H.

Ans 8: C

Explanation:

From the given information, draw a family tree and distance diagram as shown:

1695787179254


1695787179731

CAT Sample Papers: Answers And Solutions

Part-C (VARC)

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

We hope that everybody was able to go through the previous year practice questions.

Kindly practise more and keep learning, see you on Day 17

Thank you

All the best!

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Questions related to CAT

Have a question related to CAT ?

Hello,

In the context of Karnataka's reservation categories, Vishwakarma is classified under Category 2A . Specifically:

  • Category 2A : This category includes communities that are identified as Vishwakarma , along with others such as Panchamasali , Nayaka , Goud , and others.

Hope it helps !

Hello aspirant,

A bachelor's degree from an accredited university with a CGPA of at least 50% (or an aggregate of 45% for the SC, ST, and PwD/DA categories) is required in order to appear in the CAT exam in 2024. Duration and manner of degree: The course needs to last three years. The mode might be online, distant, or regular.

To know complete information you can visit our website by clicking on the link given below.

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Thank you

Hope this information helps you.

Hello student

As a self-employed individual with your own cafe, you'll need to provide documents that establish your business and work experience. Here are some documents you can prepare for your CAT application:


1. *Business Registration Documents*:

- Partnership Deed (already have)

- Business PAN Card (already have)

- FSSAI License (already have, though it's in your partner's name)

2. *Proof of Business Ownership*:

- Affidavit or declaration stating your ownership and role in the cafe

- Business registration certificate (if you have one)

3. *Proof of Work Experience*:

- A letter or certificate from your partner or co-owner confirming your work experience and role in the cafe

- A detailed resume highlighting your entrepreneurial journey and responsibilities

4. *Financial Documents*:

- Income Tax Returns (ITRs) for the last 2-3 years (if applicable)

- Balance Sheets and Profit & Loss statements for your cafe (if audited)

5. *Rental Agreement*:

- Already have, but ensure it's updated and signed


Additional tips:


- Ensure all documents are scanned and uploaded in the required format (usually PDF or JPEG)

- Keep your documents organized and easily accessible for the application process

- Be prepared to provide additional information or clarification if requested by the admission authorities


Remember to check the specific requirements for each B-school you're applying to, as they may vary. Good luck with your CAT application!

Hello aspirant,
The CAT exam syllabus is not officially prescribed, but it generally includes topics from the following sections:

1. Verbal Ability and Reading Comprehension (VARC)
2. Data interpretation and logical reasoning
3. Quantitative ability

  • Arithmetic

  • Algebra

  • Geometry and Mensuration

  • Number System

  • Modern Math

It seems unlikely that you would be able to get admission in the BTech CS branch at BIT Sindri or Mesra with a CML rank of 2058 and category rank of 433.

Key points:

1. The search results indicate that a CML (Common Merit List) rank of 2058 is quite low for admission to premier engineering colleges like BIT Sindri or NIT Mesra.

2. The cutoff ranks for BTech CS branch at these institutes are usually much higher, often in the range of 1000-2000 for the general category.

3. With a category rank of 433, you may have a better chance of getting admission in the reserved category quota, but the competition is still quite high.

4. The search results do not provide specific cutoff details for BIT Sindri or NIT Mesra, but the general trend suggests your current ranks may not be sufficient for the CS branch in these institutes.

My advice would be to:

1. Check the latest cutoff ranks and admission criteria on the official websites of BIT Sindri and NIT Mesra.

2. Explore other options like state-level engineering colleges or NITs where your current ranks may have a better chance of securing admission.

3. Consider improving your performance in the next attempt of the entrance exam to increase your chances of getting into your desired BTech program.



View All

1-radian measures 600. (True/False)

Option: 1

True


Option: 2

False


$111111^2$ = 

Option: 1

123456654321


Option: 2

123454321


Option: 3

123454321


Option: 4

12345654321


1111112 =___________ 

Option: 1

 123456654321


Option: 2

1234554321


Option: 3

123454321


Option: 4

12345654321


159702 is divisible by

Option: 1

7


Option: 2

9


Option: 3

11


Option: 4

6


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

What best can be said about the number of satellites serving C? 

Option: 1

Must be between 450 and 725 

 


Option: 2

Cannot be more than 800 
 


Option: 3

Must be between 400 and 800 

 


Option: 4

Must be at least 100 


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

What is the minimum possible number of satellites serving B exclusively? 

Option: 1

100


Option: 2

200


Option: 3

500


Option: 4

250


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

If at least 100 of the 1600 satellites were serving O, what can be said about the number of satellites serving S? 

Option: 1

At most 475 

 


Option: 2

Exactly 475 
 


Option: 3

At least 475 

 


Option: 4

No conclusion is possible based on the given information 


1600 satellites were sent up by a country for several purposes. The purposes are classified as broadcasting (B), communication (C), surveillance (S), and others (O). A satellite can serve multiple purposes; however a satellite serving either B, or C, or S does not serve O. 

The following facts are known about the satellites: 

1. The numbers of satellites serving B, C, and S (though may be not exclusively) are in the ratio 2: 1:1. 

2. The number of satellites serving all three of B, C, and S is 100. 

3. The number of satellites exclusively serving C is the same as the number of satellites exclusively serving S. This number is 30% of the number of satellites exclusively serving B. 

4. The number of satellites serving O is the same as the number of satellites serving both C and S but not B. 

Question:

 If the number of satellites serving at least two among B, C, and S is 1200, which of the following MUST be FALSE? 

Option: 1

The number of satellites serving C cannot be uniquely determined 

 


Option: 2

The number of satellites serving B is more than 1000 
 


Option: 3

All 1600 satellites serve B or C or S 

 


Option: 4

The number of satellites serving B exclusively is exactly 250 


2839155 is divisible by

Option: 1

2


Option: 2

7


Option: 3

55


Option: 4

None of the above


'a' for which x^{2}-ax+9= 0 can be written as square of a linear factor is

Option: 1

6


Option: 2

-6,6


Option: 3

\left ( 6,\infty \right )


Option: 4

\left ( -\infty,-6 \right )


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