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Crack CAT 2024 with Practice Set-2: Top Questions and Expert Tips - Day 8
Edited By Irshad Anwar | Updated on Jan 08, 2025 06:48 AM IST | #CAT
As the CAT 2025 exam date approaches, the pressure is on for every aspirant. You might be wondering how to effectively study in 2 months, what strategy to follow, the best source for theory and practice questions. To help you, we've prepared a 60-day preparation plan based on the CAT 2025 syllabus. We've covered daily strategies up to Day 7, where we focused on percentages, caselets Logical Reasoning and prepositions.
For Day 8 of our CAT preparation, we're providing CAT Practice questions based on the syllabus we've covered so far. Attempting these questions can help you to track your progress. CAT exam practice questions and answers are prepared for the students to get a learning experience of the syllabus in different ways and how they can prepare it well.
Part-A: Quantitative Aptitude for CAT 2025
Cat Exam Aptitude Questions
Q1. If 138! is divisible by 7n, then find the maximum value of n.
24
20
21
22
Q2. Find the smallest natural number n such that n! is divisible by 1430.
3
13
11
124
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Use NowQ3. Find the remainder when 591 is divided by 626.
125
1
49
7
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Q4. n is a number, such that 2n has 8 factors and 3n has 6 factors. 6n has.
24
48
12
Cannot be determined
Q5. How many pairs of positive integers x, y exist such that LCM (x, y) - HCF (x, y) = 42? [TITA]
Q6. 8 different brands of pairs of shoes counting 16, 64, 48, 88, 92, 60, 120, and 44 were ordered by a newly opened store. They need to be packed in such a way that each box has the same brand of pair of shoes and the number of pairs of shoes in each box is also the same. What is the minimum number of boxes required to pack?
129
64
48
133
Q7. Mr Kaju Srivastava is worried about the Expenditure on PNG. The price of PNG has increased by 30%. By what percent should he reduce the consumption of PNG so that he is able to maintain his Expenditure on PNG?
33.33 %
21 %
23 %
14.28 %
Q8. Of the population over 18 yrs in Singapore, 36% of men and 45% of women are married. What percentage of the total population of age more than 18 yrs are men? (Assume that no man marries more than one woman and vice versa)?
44.44%
55.55%
Cannot be determined
None of these
Directions for Questions 9 to 10: Read the following and answer the questions that follow.
Vande Bharat express has 4 AC-I coaches having 24 berths each, 6 AC-II Coaches having 45 berths each, and 3 AC-III Coaches having 64 berths each. There are no general Coaches on the train. If Rs 2000 is the cost of an AC -III berth from Delhi to Jammu. Following information in addition to above information is given:
AC-I berth is 20% expensive than AC-II berths.
AC-II berth is 20% more expensive than AC-III berths.
answer the following questions:
Q9. The value of the maximum revenue possible from Vande Bharat Express between Delhi to Jammu is
More than Rs.1.5 million
less than Rs.1.5 million
More than Rs. 1 million
Between Rs 1 to 1.5 million
Q10. What percent of revenue is generated from AC-I tickets in the previous question?
24.23%
21.13%
22.23%
28.9%
CAT Practice Papers: Answers And Solutions
Part A (Quantitative Aptitude)
CAT entrance exam question papers with answers:
Ans1: (c)
To find the maximum value of ‘n’, we have to count the number of 7s in 138!
So, n = [138/7] + [138/49], where [x] = maximum integer function
So, n = 19 + 2 =21
Ans 2: (b)
Do Prime factorization of 1430
i.e. 1430 = 13 x 11 x 5 x 2
n! must be 13 or greater since before 13, n! do not contain any 13.
So, the answer must be n = 13 (13! Will contain at least one 5, one 2, one 11 and one 13)
Ans 3: (a)
When 54 i.e. 625 divided by 626, the remainder is -1.
591 = (54x22) x53 = (62522) x125
Rem (591/626) = Rem {(62522) x125/ 626} = Rem {(-1)22 x125/626} = 125
Ans 4: (c)
2n has 8 factors. So, 2n must be of the form of one of the following:
2n = axbxc (no of factors = 2x2x2 = 8, here a, b and c are prime numbers)
Or
2n = axb3 (no of factors = 2x4 = 8, here a and b are prime numbers)
It is clear from here a= 2.
3n has 6 factors. So, 3n must be of the form of one of the following:
3n = b5 (no of factors = (5+1) = 6, where b is a prime numbers)
Or
3n = cxb2 (no of factors = 2x3 = 6, here c and b are prime numbers)
It is clear from here b = 3.
Here c will be a prime number other than 2 and 3.
Case 1:
2n = ax b3= 2n = 2x33; both cases of 3n will not be possible. So 2n cannot be ax b3.
Case 2:
2n = axbxc = 2x3xc; 3n = cxb2 = cx32 is possible
So, n = 3xc
6n = 2x32×c
No of factors = (1+1) x (2+1) x (1+1) = 2x3x2 = 12
Ans 5: 10 possible pairs are there.
Solution is as follows:
Let x = h x a; y = h x b, where h is HCF of x and y; a and b are co-primes
LCM = h x a x b
ATQ
h x a x b – h = 42
h (a x b - 1) = 42
H | (a x b - 1) | a x b | Possibility of a and b |
1 | 42 | 43 | (1, 43) |
2 | 21 | 22 | (1, 22), (2, 11) |
3 | 14 | 15 | (1, 15), (3, 5) |
6 | 7 | 8 | (1, 8) |
7 | 6 | 7 | (1, 7) |
14 | 3 | 4 | (1, 4) |
21 | 2 | 3 | (1, 3) |
42 | 1 | 2 | (1, 2) |
Total possible pairs in a and b are 10.
Therefore, 10 pairs in x and y exist.
Ans 6: (d)
Take the HCF of the number of pairs of shoes and divide the total number of pair of shoes by HCF to find the minimum number of boxes required.
HCF (16, 64, 48, 88, 92, 60, 120, 44) = 4
Number of boxes are required = (16+64+48+88+92+60+120+44)/4 = 133
Since n is even, unit digit of 42n + 1 = 4 (Since 4^odd is always gives 4 as unit digit)
and unit digit of 4n = 6 (Since 4odd is always gives 6 as unit digit)
Ans 7: (c)
Price is increased by 30% means, if initial price was Rs 10 then new price will be Rs. 13
E2 (New Expenditure) = E1 (old Expenditure)
Using,
E2/E1 = (New Price/ Old Price) x (New Consumption/ Old Consumption)
1 = 13/10 x(New Consumption/ Old Consumption)
So, (New Consumption/ Old Consumption) = 10/13
We can say consumption will reduce from 13 to 10 i.e. 23.07%
Ans 8: (b)
Let there are 100x and 100y men and women respectively (Age more than 18 yrs)
Married Men = Married Women
i.e. 36x = 45y
So, x = 5y/4
Total Men = 100x = 100x5y/4 = 125y
Total Population (more than 18yrs) = 125y + 100y = 225y
Men = 125y × 100/225y % = 55.55%.
Ans 9: (d)
Cost of AC-III berth = Rs 2000
Cost of AC-II berth = Rs 2400
Cost of AC-I berth = Rs 2880
Maximum revenue is when all the berths are filled
Revenue from AC-III Coaches = 3x64x2000 = Rs 384000
Revenue from AC-II Coaches = 6x45x2400 = Rs 648000
Revenue from AC-I Coaches = 4x24x2880 = Rs 276480
Total revenue = Rs 384000 + Rs 648000 + Rs 276480 = Rs 1308480
Ans 10: (b)
Revenue from AC-I coaches = Rs 276480
Total Revenue = Rs. 1308480
Share of AC-I = 276480 × 100/1308480 = 21.13%
Part-B: LRDI Sets For CAT 2025
Direction (Q1-Q3):
The graph below informs about the total area and the population density for 8 different countries. The area of all countries is the same for the two years 2002 and 2008 and is shown by the bar graph, read off from the right-hand Y-axis. The population density is dividing the total population of the country by the area and is depicted by the line graphs and is read off the left-hand Y-axis. The two line graphs refer to the population density in the years 2002 and 2008.
Q1. How many countries had a higher population in 2008 as compared to 2002?
8
7
6
Cannot be determined.
Q2. Find the increase in the population of F from 2002 to 2008.
5.44 mn
5.44 lacs
5,440
Cannot be determined
Q3. The country with the largest population in 2008 among the given countries is
A
E
F
Cannot be determined
Population Density = \text {$\frac{Population}{Area}$}
Thus, the Population of a country can be found by multiplying the population density by the area.
CAT Practice Papers: Answers And Solutions
Part B (LRDI)
1. c
Since for all countries, the area remains the same over the two years, 2002 and 2008, then if population density has increased from 2002 to 2008, the population has increased and if population density has decreased, then the population has decreased. The number of countries having a population density in 2008 more than that in 2002 is 6 (except B and E)
2. a
The increase in the population of F = (70 – 62) × 680,000 i.e. 8 × 680,000 = 5,440,000 i.e. 5.44 mn.
3. b
Since the area has remained the same in 2002 and 2008, the percentage increase in the population is the same as the percentage increase in the population density. Thus, the required percentage growth is percentage growth from 46 to 56 i.e. a decrease of 10/46 i.e., 10/46 x100 = 21.73%
The country with the largest population is going to be one that has a higher population density as well as a higher area. Looking for this combination in the graph, the choices are narrowed down to E and F. (Each of the rest of the countries has both the area and the population density lower than one of these two countries)
Population of E in 2008 = 76 × 600 = 45600 thousand.
Population of F in 2008 = 70 × 680 = 47600 thousand.
Thus, in 2008, the highest population is F.
Directions for questions 4 to 7: Answer the questions on the basis of the information given below.
The following table gives the details of the production of 4 crops in India from the years 2007 to 2010. Winter and Summer refer to two different seasons of sowing and harvesting in the year. All 4 crops are produced in both seasons and the break-up across the two seasons is also given in the table.
Further, the table also gives the yield of the crops across the seasons and the years. Yield is defined as the production of the crop per hectare of the area under cultivation.
2007 | 2008 | 2009 | 2010 | ||||||
Season | prod. | Yield | prod. | Yield | prod. | Yield | prod. | Yield | |
Rice | Winter | 74.47 | 1.91 | 76.7 | 1.88 | 80.2 | 2.12 | 78.25 | 2.05 |
Summer | 11.25 | 3.02 | 12.6 | 2.98 | 12 | 2.88 | 12.5 | 3.15 | |
Jowar | Winter | 4.18 | 1.03 | 4.6 | 0.96 | 4.88 | 1.11 | 5.12 | 0.9 |
Summer | 2.96 | 0.6 | 3.4 | 0.65 | 3.2 | 0.7 | 3.8 | 0.75 | |
Maize | Winter | 11.44 | 1.74 | 10.4 | 1.76 | 9.1 | 1.8 | 12.5 | 1.85 |
Summer | 2.58 | 3.22 | 1.9 | 2.87 | 3.5 | 3.08 | 3.96 | 3.2 | |
Pulses | Winter | 4.94 | 0.45 | 4.7 | 0.45 | 5.11 | 0.55 | 4.98 | 0.55 |
Summer | 8.41 | 0.72 | 7.9 | 0.74 | 7.5 | 0.75 | 8.2 | 0.78 | |
Production figures are in million tonnes and the Yield is in tons/hectare.
Q4. In 2008, for how many of the four crops is the yield in the summer season more than the yield in the Winter season?
1
2
3
4
Q5. In which year did the area under cultivation of Rice in the Winter season increase by the greatest rate?
2007
2008
2009
2010
Q6. Arrange the following in increasing order of their magnitudes
I. The area under cultivation of Jowar in the Summer season in the year 2009
II. the area under cultivation of Maize in the Winter season in the year 2007
III. the area under cultivation of Pulses in the Summer season in the year 2010
I,II, III
I, III, II
II, III, I
III, II, I
Q7. The area under cultivation of which crop was the highest in the Winter season of 2008?
Rice
Jowar
Maize
Pulses
CAT Practice Papers: Answers And Solutions
Part B (LRDI)
Solutions:
Since 
, and we are given Production and Yield figures, so re-arranging the relation to get area, we have 
. With the units given, we will get the area in million hectares.
4. c
Just check the table where the yield in second row is more then the yield in the first row in 2008
We see that for Rice, Maize and Pulses, the yield in Summer is more than the yield in Winter.
5. b
The area under cultivation of rice in Winter season in successive years can be found as 
. And we have to find in which year the growth rate is the greatest. Just by solving the above fraction, we found that in 2008 we have the highest growth rate
6. a
I. Area = 
= 4.46
II. Area = 
=6.4
III. Area = 
=10.51
Thus, increasing order will be I, II, III
7. a
The area for Rice, Jowar, Maize and Pulses is found as 
Part-C : VARC for CAT 2025
In the questions below, find the phrase with error.
Q1: As Franklin ran (a)/ next the street, he wondered (b)/ what he should buy.(c)/ No Error (d)
(a)
(b)
(c)
(d)
Ans: B.
“Along the street” should be there in place of “next the street”
Q2. Hardly had he visited(a)/ his friend’s house(b) when got invited(c). No Error(d)
(a)
(b)
(c)
(d)
Ans: A
In interrogative sentences, the first form of the verb should be used.
‘Visit’ should be there
Q3. This view has been taken (a)/ by one of the ablest persons (b)/ who has written on this subject (c)/. No error(d)
(a)
(b)
(c)
(d)
Ans. C
‘Have’ in place of ‘has’ should be there. (Plural verb should come with plural noun)
Q4. Due to population, Indian(a)/ agriculture are in pressure to raise(b)/ more and more crops. (c) /No Error(d)
(a)
(b)
(c)
(d)
Ans: B
‘Under pressure’ will be there in place of ‘in pressure’.
Q5. We must have(a)/ sympathy for the needy (b)/ and the poor. (c)/ No Error(d)
(a)
(b)
(c)
(d)
Ans: D
for the needy (use of definite article)
Q6. Prince Charles is a heir (a)/ to the throne(b)/ of Great Britain. (c)/ No Error(d)
(a)
(b)
(c)
(d)
Ans. A
‘an’ in place of ’a’ due to the vowel sound of an heir.
Q7. The roads of Agra(a)/ are wider and cleaner(b)/ than Noida. (c)/ No Error (d)
(a)
(b)
(c)
(d)
Ans. C
“than those of Noida” will be the correct phrase. (Comparison should be with similar things.)
Q8. The teacher asked(a)/ the student’s father to (b)/ put his sign on the report card. (c)/ No Error(d)
(a)
(b)
(c)
(d)
Ans. C
‘Signature’ in place of ‘sign’
Hope everyone learned the concepts and will practice more!
Keep practicing, keep learning, see you on Day 9
Thank you
All the Best
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Feb 25, 2025
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Questions related to CAT
Have a question related to CAT ?
Hello
If you are aiming for the CAT exam this year and considering joining the fourth year, it might be a good idea if you are confident in managing both your academic workload and CAT preparation .
However, the CAT exam is competitive and balancing your BCom studies and preparation might be challenging.
If you think you can handle the extra year and need more time for focused preparation , joining the fourth year could provide that but you should also evaluate your current academic commitments and your ability to stay consistent with CAT preparation .
Hope this gives you the clarity you need.
Mitali Sharma 17 February,2025
Hello,
Securing a seat in a National Institute of Technology (NIT) with a JEE Main score of 67 as an SC category candidate is challenging. Consider the following points:
-
Qualifying Cutoff : The expected qualifying cutoff for SC candidates in JEE Main 2025 is around 65 marks.
-
Admission Prospects : While you may qualify for JEE Advanced, admission to NITs typically requires higher scores. For instance, in previous years, SC candidates needed higher marks to secure seats in NITs.
-
Improvement Opportunity : Consider preparing for the next JEE Main attempt to achieve a higher score, thereby enhancing admission prospects in subsequent counseling rounds.
You can also use the JEE Mains College Predictor Tool to predict which college you can get based on your score.
Hope you find it useful!
Prachi Kumari 13 February,2025
Hello,
With an 88 percentile in the JEE Main exam and belonging to the SC category from Karnataka, your chances of securing a Computer Science Engineering (CSE) seat in NITs, IIITs, or GFTIs are as follows:
-
NITs :
- Top NITs like NIT Trichy or NIT Surathkal have higher cutoffs for CSE. For instance, in 2024, the closing rank for SC category in CSE at NIT Trichy was around 1,171.
- With an 88 percentile, your rank might be higher than these cutoffs, making it challenging to secure a CSE seat in top NITs.
-
IIITs :
- IIITs also have competitive cutoffs for CSE. For example, IIITM Gwalior had a closing rank of 11,494 in 2024, making it highly competitive.
- Your current percentile may not meet the typical cutoffs for CSE in top IIITs.
-
GFTIs :
- GFTIs generally have higher closing ranks compared to NITs and IIITs, providing a more accessible option.
- You may have a better chance of securing a CSE seat in GFTIs with your current percentile.
Hope you find it useful !
Prachi Kumari 13 February,2025
Hello,
According to the NIFT 2025 exam schedule , the General Ability Test (GAT) is from 9:00 AM to 11:00 AM, and the Creative Ability Test (CAT) is from 2:30 PM to 5:30 PM. This indicates a gap of 3.5 hours between the two tests.
The official guidelines do not specify whether candidates are allowed to leave the exam center during this interval. Therefore, it's advisable to:
-
Check the Admit Card : Specific instructions regarding breaks may be mentioned.
-
Contact the Exam Center : Reach out directly to confirm their policy on leaving during the interval.
By taking these steps, you can ensure compliance with the exam center's policies and plan your day effectively.
Hope you find it useful !
Prachi Kumari 09 February,2025
The CDAC C-CAT exam dates for the August 2025 batch haven't been announced yet. However, I can provide you with some information on the exam schedule for the February 2025 batch, which might give us an idea of what to expect for the August batch.
The CDAC C-CAT exam for the February 2025 batch was held on January 11 and 12, 2025.The application form for the February batch was available from November 2024 to December 30, 2024.
Typically, the CDAC C-CAT exam is conducted twice a year, in June and December, for admissions to the August and February batches, respectively. However, the exact dates for the August 2025 batch will be announced separately.
To stay updated on the CDAC C-CAT exam dates and other important events, I recommend checking the official CDAC website regularly.
BEST OF LUCK!!
sadafreen356 04 February,2025
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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