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CAT Exam Practice Set 3- Sample Paper, Questions With Solutions | Day 12
Ongoing Event
CAT Application Date:01 Aug' 25 - 13 Sep' 25
Hello CAT 2024 Candidates, With a few weeks left before the CAT 2024 Exam, you may be wondering how to make the most of your time. Common concerns include deciding on a study approach, which resources to utilize for theory and practice, and if it is realistic to pass the CAT in two months. You may perhaps be looking for a crash course or a particular study schedule.
This Story also Contains
- CAT Sample Paper
- Part-A: Quantitative Aptitude set for CAT 2024
- Part-B: LRDI Set For CAT 2024
- Part-C: VARC Set For CAT 2024
- Answers And Solutions Part-A (Quantitative Aptitude)
- Answers And Solutions Part B (LRDI)
- Answers And Solutions Part-C (VARC)
- Free PDFs for CAT 2024 preparation
To guide candidates, we have developed a comprehensive curriculum, on how to effectively study for the CAT in just 2 months. We've included daily study plans up to Day 11, covering subjects such as loans and instalments, Ranking ng (logical reasoning), and past tense in English.
On Day 12, we'll provide you with a CAT sample paper with practice questions from your covered topics. These practice papers will allow you to monitor your progress, understand the difficulty level of questions you'll encounter, and identify areas where you need more practice. You may download the practice questions in PDF format to make study preparation easier. Stick to our 60-day CAT study plan to be fully prepared for the Exam.
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 set for CAT 2024
(CAT Arithmetic Questions)
Q.1. 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%
Q.2. 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%
Q.3. 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
Q.4. A dealer professes to sell at cost price but unknowingly he uses a 550-gram weight instead of a 500-gram weight. Find the percentage of profit/loss to the dealer.
(a) 9.09% Loss (b) 11.11% Profit (c) 12.5% Loss (d) None of these
Q.5. 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
Q.6. 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
Q.7. 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
Q.8. 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
Q.9. 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 Set For CAT 2024
CAT Questions Logical Reasoning
Direction (Q.1-Q.3):
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 also shows the percentage breakdown of the total production of oil seeds across the four varieties, but this is only for the state of Maharashtra.
In all the questions “Rest of India” means all states in India other than Maharashtra.
Q.1. 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?
10%
12%
16.66%
Cannot be determined
CAT 2025: VARC, DILR, and Quant MCQs & Weightages
Comprehensive CAT prep guide with focused practice on Verbal Ability, Data Interpretation & Logical Reasoning, and Quantitative Aptitude.
Download NowQ.2. 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?
7.5%
8.75%
9.375%
10%
Q.3. 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?
10%
12%
17.5%
20%
Direction (Q.4- Q.7)
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.
Q.4. Who got the third rank in Maths?
(A) Titu (B) Pankaj (C) Shushant (D) Either (A) or (B)
Q.5. What is the sum of the ranks of Pankaj?
(A) 8 (B) 7 (C) 6 (D) Either (A) or (B)
Q.6. Who got the second rank in English?
(A) Pankaj (B) Robin (C) Shushant (D) Either (A) or (B)
Q.7. What is the sum of ranks of Robin?
(A) 6 (B) 7 (C) 8 (D) Either (A) or (B)
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Part-C: VARC Set For CAT 2024
Q.1.
Select the most appropriate option to substitute the underlined segment in the given sentence.
Our guests arrived; they are sitting in the garden.
shall arrive
have arrived
are arriving
might arrive
Q.2.
Select the most appropriate option to substitute the underlined segment in the given sentence.
The bus is now full of passengers, it will leave soon.
leaves
is leaving
is going to leave
has to leave
Q.3.
Select the most appropriate option that can substitute the underlined segment in the given sentence.
He will talk about nothing but films.
was talking at
is talking in
shall talking of
talks about
Q.4.
Select the most appropriate option that can substitute the underlined segment in the given sentence.
Blind by a dust storm, they fell into disorder.
Have been blind
Blinded
Blinding
Being blind
Q.5.
Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select ‘No substitution’.
There are many people in the world who believe that the earth is flat.
who belief that
who should believe that
No substitution
who believed
Q.6.
Select the most appropriate option that can substitute the underlined segment in the given sentence.
Don't disturb the boy, he prepares for his examination.
Prepared
is preparing
was preparing
will be preparing
Q.7.
Select the most appropriate option to substitute the underlined segment in the given sentence.
Biden write a letter to the Russian President to restrain from war.
writes a letter
wrote a letter
write a good letter
writing a surprise letter
Q.8.
Select the most appropriate option to substitute the underlined segment in the given sentence.
During my Goa tour, I had visited beaches in Vasco, Baga and Vagator.
Visited
have visited
was visited
had visited
Ans 8: (a)
The simple past tense denotes actions that occurred at a specific point in the past without emphasising their sequence in relation to other past events.
Hence, in this context, using the simple past tense "visited" is more appropriate and grammatically correct.
Therefore, the corrected sentence would be: "During my Goa tour, I visited beaches in Vasco, Baga, and Vagator."
Q.9.
Select the most appropriate option that can substitute the underlined segment in the given sentence.
I am been working here for the past ten years.
have been working here
is been working here
was been working here
had been working here
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
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, the 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 (Q.4 to Q.7)
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)
Answers And Solutions Part-C (VARC)
Ans 1: (b)
The original sentence suggests a chronological order of events, with the guests arriving first and then sitting in the garden and thus, the previous action has relevance to the following action. Therefore, have arrived is more appropriate than the simple past tense "arrived".
So, the correct sentence is: Our guests have arrived; they are sitting in the garden.
Ans 2: (c)
The use of "is going to leave" indicates a future action and is suitable for describing the imminent departure of the bus. The original sentence is in the present tense ("is now full") and suggests that the bus will leave in the near future. The phrase "is going to leave" is a suitable choice, as it maintains the present tense and indicates a planned action in the future.
Therefore, the correct sentence is: The bus is now full of passengers; it is going to leave soon.
Ans 3: (d)
The original sentence is in the future tense, indicating a future action. In this context, the use of "will talk" implies that the person will discuss films in the future. "Talks about" is the correct choice, as it maintains the present tense and indicates a habitual or ongoing action. It reflects the idea that he consistently talks about films, making it a suitable replacement for the original sentence. Therefore, the correct sentence is: He talks about nothing but films.
Ans 4: (b)
The original sentence contains a grammatical error.
To correct it, the phrase "blind by a dust storm" should be changed to a participle phrase, which functions as an adjective to describe the subject, and the participle form of blind is blinded.
Therefore, the correct sentence is: Blinded by a dust storm, they fell into disorder.
Ans 5: (c)
The sentence is already grammatically correct. There is no substitution needed, as the sentence maintains its tense consistently in the present tense, especially when expressing a general truth or commonly held belief.
Ans 6: (b)
In our given sentence, there is the simple present tense ("studies") to convey a habitual action or a general truth. It indicates that the boy regularly prepares for his examination.
Here, "is studying" is in the present progressive tense. It indicates an action that is happening right now and is still ongoing.
The use of the present progressive tense "is studying" suggests that the boy is actively engaged in studying at this moment for the specific purpose of preparing for his examination.
Therefore, "Don't disturb the boy; he is preparing for his examination."
Ans 7: (b)
The original sentence discusses an action that occurred in the past. So, the correct past tense should be used. "Wrote a letter" is the appropriate past tense form, making the sentence grammatically correct.
Therefore, the correct sentence should be: "Biden wrote a letter to the Russian President to restrain from war."
Ans 8: (a)
The simple past tense denotes actions that occurred at a specific point in the past without emphasising their sequence in relation to other past events.
Hence, in this context, using the simple past tense "visited" is more appropriate and grammatically correct.
Therefore, the corrected sentence would be: "During my Goa tour, I visited beaches in Vasco, Baga, and Vagator."
Ans 9: (a)
The most appropriate option that can substitute the underlined segment in the given sentence is: I have been working here for the past ten years. The correct form of the sentence should be "have been" instead of "am been". The present perfect continuous tense denotes that the action started ten years back and is still going on.
Therefore, the correct sentence is: I have been working here for the past ten years.
Free PDFs for CAT 2024 preparation
Frequently Asked Questions (FAQs)
Q: Does taking the sample tests increase my chances of success?
A:
Yes, completing practice tests can help you become comfortable with the various types of questions on the CAT exam and identify what topics need greater attention, increasing your chances of success.
Q: Which topics are covered in the Day 12 Sample paper Sets?
A:
The sample exam contains questions from subjects covered up to Day 11, such as Loans and Instalments, Logical Reasoning (Ranking), and Past Tense in English.
Q: How would the practice papers benefit me?
A:
The practice papers will allow you to keep track of your progress, assess the difficulty level of CAT questions, and highlight areas where you need more practice.
Q: What is the Simple Past Tense?
A:
The simple past tense is used to describe activities or events that occurred in the past but are now completed.
For example:
"I went to the park yesterday."
"She played football last week."
In these lines, the words "went" and "played" refers to acts performed in the past.
Q: What is CP and SP?
A:
CP (Cost Price) is the initial price at which an item is acquired or manufactured. It refers to the overall cost of acquiring or manufacturing a product, including materials, labor, and other charges.
The selling price (SP) is the price at which an item is sold to a consumer. It is the amount that the seller gets for the product.
Q: Which topics are covered in the Day 12 Sample paper Sets?
A:
The sample exam contains questions from subjects covered up to Day 11, such as Loans and Instalments, Logical Reasoning (Ranking), and Past Tense in English.
Q: Does taking the sample tests increase my chances of success?
A:
Yes, completing practice tests can help you become comfortable with the various types of questions on the CAT exam and identify what topics need greater attention, increasing your chances of success.
Q: How would the practice papers benefit me?
A:
The practice papers will allow you to keep track of your progress, assess the difficulty level of CAT questions, and highlight areas where you need more practice.
Q: What is the Simple Past Tense?
A:
The simple past tense is used to describe activities or events that occurred in the past but are now completed.
For example:
"I went to the park yesterday."
"She played football last week."
In these lines, the words "went" and "played" refers to acts performed in the past.
Q: What is CP and SP?
A:
CP (Cost Price) is the initial price at which an item is acquired or manufactured. It refers to the overall cost of acquiring or manufacturing a product, including materials, labor, and other charges.
The selling price (SP) is the price at which an item is sold to a consumer. It is the amount that the seller gets for the product.
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Hello
As you said you by mistakenly done that, you don't need to get worry regarding that ,
Just inform the help desk and carry the correct certifications , the state certificate will not disqualify you .
The steps you can follow is -
1. You can check if the correction window is available or not
2. Contact the CAT desk immediately.
Hope this helps
In CAT registration, you cannot create a new user ID with the same mobile number, even if you use a different email ID. Each mobile number and email can be linked to only one account. If you already registered once, the system will not accept a duplicate with that number. To register again, you must use a new mobile number and new email ID. If you lost your old login, you can recover it through the forgot password/user ID option on the CAT portal.
Yes, you can fill the CAT form even if you currently have a backlog. CAT eligibility requires you to be in your final year of graduation or already graduated backlogs don’t stop you from applying.
While filling the form:
-
Enter the aggregate percentage/CGPA of marks you have obtained up to the latest semester for which results are declared (in your case till 4th semester).
-
There will be an option to mention that you have a backlog.
-
If you clear the backlog later, you’ll just need to show the updated marks during admission.
Hello Aspirant,
Yes, you can apply for the CAT exam as a final-year student. You must declare your backlog on the online application form. You do not write about it on the final-year student certificate; that document is to certify your enrollment status. You must clear all backlogs before the final admission process to any MBA college.
Hello,
Thank you for your question!
KL- MAT syllabus: Quantitative Aptitude, Reasoning, English/Verbal Ability, and General Awareness (similar to MAT/CMAT pattern).
CAT scores are valid in many private universities including KL University, but always check the year’s admission notification.
CAT vs other exams: CAT is toughest (IIMs + top B-schools), while MAT/CMAT/ATMA are relatively easier and accepted by many mid-level private universities.
Hello it will clear your doubt!
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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