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CAT Exam Practice Set 3- Sample Paper, Questions With Solutions | Day 12

CAT Exam Practice Set 3- Sample Paper, Questions With Solutions | Day 12

Edited By Irshad Anwar | Updated on Oct 05, 2023 06:32 PM 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-month crash course. CAT practice questions can enhance the learning of the students and can help them get to know more about the type of questions. Practising CAT topic-wise questions is crucial for honing skills in each section and identifying areas that require additional attention.

Based on the CAT syllabus 2023, we have created a preparation strategy to ace the CAT Exam. We have covered a strategy for every single day up to 11 days. In the previous article, we discussed the CAT Exam strategy on how to prepare for Loans and Instalments, ranking (LR), and tenses (past tense) on Day 11 of CAT preparation. We're back with a CAT sample paper (CAT practice questions)for Day 12 of our CAT preparation for CAT 2023. On this day, we invite you to take the CAT sample paper (CAT exam questions with answers) based on the CAT syllabus 2023 we covered in the first 11 days. Take the test (CAT practice questions) having cat topic-wise questions, and track your progress with self-analysis. This will enable you to recognize your strengths and weaknesses and tailor your study strategy. Students can also download the pdf of cat practice questions free. Follow the 60-day CAT exam preparation strategy we prepared for you to get a flow, plan, and schedule for your preparation.

CAT Sample Paper

This CAT Sample paper (CAT practice questions with solutions) consists of three Sections:

Part- A (CAT Arithmetic Questions) consists of 9 questions.

Part- B (CAT Questions Logical Reasoning) consists of 7 questions.

Part- C (VARC) consists of 9 questions.

Part-A: Quantitative Aptitude for CAT 2023

CAT Quant Questions With Solutions

(CAT Arithmetic Questions)

Q1. The price of sugarcane has gone up by 25%, labour cost has also increased from 15% of the cost of sugarcane to 20% of the cost of sugarcane. By how much percentage should there be a reduction in the usage of sugarcane to keep expenditure the same?

(a) 23.33% (b) 26.66% (c) 28% (d) 25%

Q2. Two numbers A and B are 10% and 14% greater than a third number C. Find by what percentage is the number A less than the number B.

(a) 8.33% (b) 12.28% (c) 10.62% (d) 3.5%

Q3. A dealer sold two Radio Sets for Rs 977.5 each, gaining 15% on one and losing 15% on the other set. Find his net gain or a net loss.

(a) Rs 30 loss (b) Rs 45 loss (c) Rs 30 gain (d) Rs 45 gain

Q4. A dealer professes to sell at cost price but unknowingly he uses a 550-gram weight instead of a 500-gram weight. Find the percent profit/loss to the dealer.

(a) 9.09% Loss (b) 11.11% Profit (c) 12.5% Loss (d) None of these

Q5. The profit earned when an article is sold for Rs 500 is 30% more than the loss incurred when it is sold for Rs 385. At what price should the article be sold if he wants to gain 20%?

(a) Rs 300 (b) Rs 500 (c) Rs 522 (d) Rs 600

Q6. Two equal sums were lent at 8.5% simple interest per annum for 2.5 years and 3 years respectively. The difference in the interest was Rs 34. The sum lent was

(a) Rs 690 (b) Rs 800 (c) Rs 840 (d) Rs 780

Q7. The sum of money invested at simple interest becomes 7 times itself in 15 years. How many times will it become in 20 years?

(a) 8 times (b) 7 times (c) 6 times (d) 9 times

Q8. A person bought an Electric Car under the following scheme: A down payment of Rs 6,15,000 and the rest amount in equal annual instalments of Rs 20000 at the rate of 12% per annum for 5 years. Find the total amount he paid (Assume simple interest).

(a) Rs 740000 (b) Rs 615000 (c) Rs 739000 (d) Rs 124000

Q9. If the simple interest is 10.25% annual and compound interest is 10% annual, find the difference between the interests after 3 years on a sum of Rs 2400.

(a) Rs 50 (b) Rs 56.4 (c) Rs 45 (d) Rs 18

Part-B: LRDI Sets For CAT 2023

CAT Questions Logical Reasoning

Direction (Q1-Q3):

The only oil seeds that are produced in India are groundnut, mustard, soybean, and sunflower. The total production of these oil seeds in 2008 was 80 mn tons. The pie chart on the left shows the break-up of this production across the four varieties. The pie chart on the right is also the percentage breakup of the total production of oil seeds across the four varieties, but this is only for the state of Maharashtra.

1696507212933


1696507212683

In all the questions “Rest of India” means all states in India other than Maharashtra.

Q1. If Maharashtra accounts for 10% of the total groundnut production in India, what percentage of the total oil-seed production of India is accounted for by Maharashtra?

  1. 10%

  2. 12%

  3. 16.66%

  4. Cannot be determined

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Q2. If the production of mustard in Maharashtra is 1.5 mn tons, what percentage of the total production of oil seeds in India is accounted for by Maharashtra?

  1. 7.5%

  2. 8.75%

  3. 9.375%

  4. 10%

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Q3. If the ratio of production of Sunflowers in Maharashtra and the Rest of India is 1: 4, what percentage of total oil-seed production in the Rest of India is accounted for by Sunflowers?

  1. 10%

  2. 12%

  3. 17.5%

  4. 20%

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CAT practice questions

Direction (Q4- Q6)

These questions are based on the following information. Four students - Pankaj, Robin, Shushant, and Titu got the top four ranks in Maths, Analytical, and English. For each student, the ranks in no two subjects are the same. In each subject, no two students got the same rank. We know the following additional information.

  • The sum of the ranks of no two students is the same.

  • Robin got the first rank in Maths, Pankaj got the third rank in Analytical and Titu got the fourth rank in English.

  • The sum of the ranks of Shushant is the highest.

  • The rank of Robin in Analytical is not the same as the rank of Shushant in English.

Q4. Who got the third rank in Maths?

(A) Titu (B) Pankaj (C) Shushant (D) Either (A) or (B)

Q5. What is the sum of the ranks of Pankaj?

(A) 8 (B) 7 (C) 6 (D) Either (A) or (B)

Q6. Who got the second rank in English?

(A) Pankaj (B) Robin (C) Shushant (D) Either (A) or (B)

Q7. What is the sum of ranks of Robin?

(A) 6 (B) 7 (C) 8 (D) Either (A) or (B)

CAT Sample Papers: Answers And Solutions

Part A (Quantitative Aptitude)

CAT entrance exam question papers with answers:

Ans 1: (a)

Let the Price of sugar cane per unit is 100x and 100y units of sugarcane are consumed initially.

Expenditure = Cost of sugarcane + Labour cost = (100x)(100y) + 15% of (100x)(100y)

= 10000xy + 1500xy = 11500xy

After an increase in the price of sugarcane and labour costs;

Expenditure = 125xz + 20% of 125xz = 150xz; where z is new consumption of sugarcane

Since Expenditure remains the same. So,

11500xy = 150xz

So, z = 1150y/15 = 230y/3

Reduction in usage of sugarcane = 100y – 230y/3 = 70y/3

Percentage reduction in usage of sugarcane = (70y/3) x 100/100y = 23.33%

Ans 2: (d)

Let C = 100x

A = 110x

B = 114x

A is less than B by (4x × 100/114x)% i.e. 3.5%

Ans 3: (b)

There will be a net loss = 152/100% loss = 2.25 % loss.

So,

SPCP=97.75100

Here, Total SP = 977.5 x 2 = 1955

So,

1955 CP=97.75100

On solving, Total CP = 2000

So, there will be a loss of Rs 45.

Ans 4: (a)

SP per unit = CP per unit = 1 (say)

Total SP Total CP=Quantity for which shopkeeper receives the amount x SP per unit quantity for which shopkeeper pays the amount x CP per unit

Total SPTotal CP=500 x 1550 x 1 = 1011

He got a loss of 1 on 11 i.e. 9.09% loss.

Ans 5: (c)

Profit = 30% more than loss

If loss = 100x; CP = 385 + 100x

then, Profit = 130x; CP = 500 - 130x

So, 385 + 100x = 500 - 130x

⇒ 115 = 230x

⇒ x = 0.5

So, CP = 385 + 100 x 0.5 = Rs 435

Selling Price to get profit of 20% = 435+0.2 x 435= Rs 522

Ans 6: (b)

In 6 months, interest = 4.25% of Sum = 34

So, Sum = 34 x 100/4.25 = Rs 800

Ans 7: (d)

Let Principal = 100x

Interest in 15 yrs = 600x (Since the amount becomes 7 times of principal)

Interest in 20 yrs = (600x/15) x 20 = 800x

So, the amount becomes 9 times itself in 20 years.

Ans 8: (c)

Due amount after down payment- 20000 – 12 % of 20000 for 4 years – 20000 – 12% of 20000 for 3 years- – 20000 – 12% of 20000 for 2 years - – 20000 – 12% of 20000 for 1 year – 20000 = 0

⇒ Due amount – 100000 – 12% of 20000 (4 + 3+ 2+1) = 0

⇒ Due amount = 100000 + 12% of 20000 (4 + 3+ 2+1) = 124000

Therefore, Cost of Electric Car = 615000 +124000 = Rs 739000

*For concept read the article for Day 11

Ans 9: (b)

First, calculate CI- SI for 3 years at 10% per annum = P(R/100)2(3+ R/100)

= 2400 (10/100)2(3+ 10/100)

= Rs 74.4

Additional SI at (10.25- 10) % for 3 years = 0.25 % of 2400 for 3 years = Rs 18

Net Difference between CI and SI for 3 years = Rs (74.4 – 18) = Rs 56.4

CAT Sample Papers: Answers And Solutions

Part B (LRDI)

Ans 1: (b)

25% of Maharashtra’s oil-seed production = 10% of (30% of India’s oil-seed production).

Thus, Maharashtra’s oilseed production = 3/25 of India’s oilseed production. Thus, the required percentage = 12%

Ans 2: (c)

Since mustard is 1/5th of the total oilseed production of Maharashtra, hence total oilseed production of Maharashtra = 7.5 mn tons. Thus, required percentage = 7.5/80 i.e. 9.375%

Ans 3: (b)

Total production of sunflower in entire India = 12.5% of 80 = 10. This production is divided between Maharashtra and the Rest of India in the ratio of 1: 4 i.e. Maharashtra produces 2 mn tons of sunflower. Hence it produces = 13.33 tons of oilseed. Thus, the Rest of India produces 80 – 13.33 = 66.66 tons of oilseeds of which the sunflower is 8 mn tons. Thus, the required percentage is 8/66.66 i.e. 8 × 3/2 = 12%

Solutions (Q4 to Q7)

As, the total sum = 30, and least sum (1, 2, 3) = 6, and the highest sum is (2, 3, 4) = 9, the sum of the ranks must be 6, 7, 8, and 9. From the given information, we have

Robin

Titu

Pankaj

Shushant


Maths

1




Analytical



3


English


4



Total




9

Case 1:

Considering Sushant’s Rank Maths, analytical, and English are 2, 4, and 3 respectively.

Titu cannot be 4th in maths as he is 4th in English. Similarly, Pankaj cannot be 3rd in maths. So Titu is 4th and Pankaj is 3rd in maths.

In Similar ways, Robin’s Rank in Analytical is 2nd and Titu’s Rank is 1st. Robin’s Rank cannot be calculated in English as it cannot take 1, 2, 3 and 4 according to given conditions.

Robin

Titu

Pankaj

Shushant


Maths

1

3

4

2

Analytical

2

1

3

4

English


4


3

Total




9

Therefore, this possibility is wrong.

Case 2:

Considering Sushant’s Rank Maths, analytical, and English are 3, 4, and 2 respectively.

Using the given conditions, the final table will look like

Robin

Titu

Pankaj

Shushant


Maths

1

2

4

3

Analytical

2

1

3

4

English

3

4

1

2

Total




9

The ranks of Robin and Sushant cannot be the same in Analytical and English respectively. Therefore, this possibility is also wrong.

Case 3:

Considering Sushant’s Rank Maths, analytical, and English are 4, 2, and 3 respectively.

∴ In Analytical, Robin got the fourth rank as it cannot take 1st rank. Pankaj’s rank must be 2 in Maths. Robin’s rank in English must be 2

∴ Shushant’s ranks in English and Maths are 3 and 4 respectively.

∴ Titu got the third rank in Maths.

All conditions are true.

Robin

Titu

Pankaj

Shushant


Maths

1

3

2

4

Analytical

4

1

3

2

English

2

4

1

3

Total

7

8

6

9

Ans 4: Titu got the third rank in Maths. Choice (A)

Ans 5: The sum of the ranks of Pankaj is 6. Choice (C)

Ans 6: Robin got the second rank in English. Choice (B)

Ans 7: The sum of the ranks of Robin is 7. Choice (B)

CAT Sample Papers: Answers And Solutions

Part-C (VARC)

Ans 1: (c)

“’ Neither” should be followed by “is”. Replace ‘are’ with ‘is’.

Ans 2: (c)

Here ‘Not only’ doesn’t make any sense.

Ans 3. (a)

Replace ‘will form’ with ‘form’. In the open condition conditional clause, present indefinite is used.

Ans 4: (c)

Use ‘waiting’ in place of ‘had been waiting

Ans 5: B

‘Will have taken off’ is used in place of ‘has taken off.

Ans 6. (b)

Replace ‘laid down’ with ‘lain down’. The doer of the action is changed in laid and lain.

Ans 7. (b)

The 1st form of the verb is used with did. Hence, acceded will be used in place of acceded.

Ans 8. (a)

‘Cope with’ should be used

Ans 9. (a)

Here we use present perfect continuous tense. Hence ‘has been’ is used in place of ‘is’.

I hope you guys practised this well, we will be back with more practice questions and mock tests on Day 13. Till then, keep practising!

Thank you!

All the best!

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Questions related to CAT

Have a question related to CAT ?

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.



For VARC, read daily from diverse sources (newspapers, novels, journals) to improve comprehension and vocabulary. Practice RC passages and verbal ability questions regularly. For DILR (Data Interpretation and Logical Reasoning) and QA (Quantitative Aptitude), solve previous years' papers and take mock tests to identify weak areas. Join a coaching institute or online courses for guidance and stay consistent with your study schedule. Review and analyze your performance in mocks to understand mistakes and improve. Maintain a positive mindset and stay disciplined in your preparation.

Hello aspirant,

Every year, IIMs conduct the Common Admission Test (CAT), a national MBA entrance exam, in rotation. For admission to over 1,200 institutions and premier B-schools in India, as well as PGDM, Executive MBA, PhD, and FPM programmes, the IIM CAT exam is regarded as one of the most difficult MBA entrance exams to pass. One of the best MBA schools in India, IIMs offers PGDM and MBA programmes for students who pass the CAT exam with scores in the 82nd to 99th percentiles.

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

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Hope this information helps you.

Hello!

The educational qualification required for CAT exam is bachelor's degree or its equivalent from a recognized university with minimum of 50% for the open category and 45% for the SC/ST/PwD category. Since you have secured more than the required percentage in your bachelor's degree, you are eligible for CAT exam.

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I hope you will find this information helpful. Best wishes ahead!

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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