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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.
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.
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.
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(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
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
Q.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)
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
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
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)
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
Hi aspirant,
You can refer to the link attached above for more information on the same.
All the best!
Hi aspirant,
You can refer to the link given above for more information on the same.
All the best!
Hello dear,
The CAT exam requires a significant amount of time for preparation, including brushing up on basic concepts and practicing advanced problem-solving. Starting too early can feel overwhelming and may not be sustainable with other academic commitments.
The CAT exam requires a level of focus and maturity that is not always present in class 9. Starting preparation at this stage can be challenging to maintain. At class 9, you're primarily focused on learning foundational concepts. So you just need to boost your fundamentals by practicing more and more at class 9 because the Quantitative Aptitude section of CAT syllabus includes all the topics of Mathematics from Class 9 to 10 such as Arithmetic, Geometry, Algebra, Trigonometry and Mensuration.
Start Preparation 12 Months Prior:
Identify Weak Sections:
I hope you got your answer, That's all Thank you.
IIFT CAT Cutoff 2024
IIFT Delhi
General: 95–98 percentile
OBC: 90+
SC: 85–95
ST/PwD: 75–93
IIFT Kolkata
General: 85–95 percentile
OBC/SC/ST: 50–95 (varies)
Note: Final selection also includes WAT, GD, PI, academics, and work experience.
To prepare for CDS, CGL, and CAT during graduation, create a clear study schedule focusing on basics, reasoning, and aptitude. Practice daily mocks, improve time management, and stay consistent. Balance college and preparation with discipline and regular revision.
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