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CAT 2025 Practice Test Series 14 - QA, LRDI & VARC | Day 56
Edited By Irshad Anwar | Updated on May 01, 2025 01:25 PM IST | #CAT
Welcome to CAT 2025 Practice Test Series 14 – Day 56, a practice set for all three sections of the CAT exam: Quantitative Aptitude (QA), Logical Reasoning & Data Interpretation (LRDI), and Verbal Ability & Reading Comprehension (VARC). Aimed at imitating the real CAT test pattern and difficulty level, this test series assists you in developing exam-day endurance, enhancing time management skills, and discovering strengths and weaknesses. Try this complete set and go through the step-by-step solutions to make your preparation better.
CAT 2025 Practice Test: Best Free Mock Test For CAT
This free sectional mock test for CAT consists of subject and topic-specific questions and answers. Candidates should download the best free mock test for the CAT and finish the Practice Test Series from all three subjects to get the best idea of what the requirements are for the CAT exam 2025. Based on the 55 days of lessons, this CAT Practice Test includes comprehensive solutions. You can ace the exam in 2025 by using this free sectional mock test for the CAT.
This CAT previous year question paper of CAT 2025 Practice Test Series consists of three Sections:
CAT mock test Part- A consists of 8 questions.
CAT mock test Part- B consists of 8 questions.
CAT mock test Part- C consists of 8 questions.
CAT Test Series Part- A: Quantitative Aptitude
Q1. If the mean and mode of distribution are 7 and 9 respectively, then the median is?
7
8.33
7.66
None of the above
Ans: [3]
As we know
2 Mean + Mode = 3 Median
So, 2 x 7 + 9 = 3 x Median
Median = 23/3 = 7.66.
Q2. The quartile deviation of 2, 7, 11, 14, 12, 13, 9 is
2
13
3
6.5
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 NowAns: [3]
Write the data in ascending order 2, 7, 9, 11, 12, 13, 14
Q1= 7
Q2= 11
Q3= 13
Quartile deviation = (Q3 – Q1)/2 = (13- 7)/2 = 3.
Q3. The median of the first 16 prime numbers is
17
23
19
21
Ans: [4]
Median of 1st 16 terms will be the average of the 8th and 9th terms.
So, 8th prime number = 19
And 9th prime number = 23
So median = (19+ 23)/2 = 21
Q4. The geometric mean of √8, √27, 2,and √3 is
√6
6
36
9
Ans: [1]
GM = [√8 x 27 x 2 x √3]1/4
GM = [36]1/4
GM = √6
Q5. Express the following expression in the form of a + bi
i13+ i23
Options:
0
i
-i
-1
Ans: [1]
i = -1; i2 = -1; i3 = -i; i4 = 1
i13 = i12+1 = i
i23 = i20+3 = i3 = -i
So, i13+ i23 = i – i = 0.
Q6. The least value for n, in the expression {(1 - i) / (1 + i)}n for which the expression has a positive integer value. where n is a real number [TITA]
Solution:
(1 - i) / (1 + i) = (1 - i)2 / [(1 + i) (1 – i)]
= [1 +i2-2i]/[1 -i2]
= [-2i]/2 = -i
So, {(1 - i) / (1 + i)}n = (-i)n
For an expression to be a positive integer, the least value of n must be 2.
Direction Q7- Q8:
Statement (1) ALONE is sufficient, but statement (2) ALONE is not sufficient to answer the question asked.
Statement (2) ALONE is sufficient, but statement (1) ALONE is not sufficient to answer the question asked.
BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.
EACH statement ALONE is sufficient to answer the question asked.
Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data specific to the problem are needed.
Q7. Joshan lent one part of the amount of money at a 12% rate of simple interest and the remaining at an 18% rate of simple interest, both for one year. At what rate was the larger part lent?
The total amount lent was $3600.
The average rate of simple interest he received on the total amount was 16%.
Ans: [B]
Statement 1:
It is not sufficient. No information is there.
Statement 2:
Let Rs x be lent at the rate of 12% per annum and Rs y at the rate of 18% per annum.
So, as per question
16% (x+ y) = 12% of x + 18% of y
⇒ 4% of x = 2% of y
⇒ x/y = ½
⇒ y> x
So, the larger part of rent at 18% per annum.
Statement 2 alone is sufficient to answer the question.
Q8. Each Month Andrew receives a base salary of $1700, plus a 20 percent bonus on the total amount of his sales in excess of $1,5000. What was the total amount of Andrew’s sales last month?
Last month Andrew’s total salary was 120% of his basic pay.
Last month Andrew donated his commission which was 25% more than that of the previous month.
Ans: [A]
Statement 1:
Total salary= Basic Pay + Commission
Basic Pay = 100% = $1700
Commission = 120-100= 20% of basic pay = 20% of total sales
So, total sales = basic pay
Statement 1 alone is sufficient.
Statement 2:
As no information is given about the previous month's sales, the current month's sales cannot be calculated.
Statement 2 alone is not sufficient.
CAT Practice Test Part B: LRDI Logical Reasoning and Data Interpretation) Passage: (Q1-Q4)
Ten teams that were to take part in the Champions Challenge were divided into two pools – Pool A and Pool B. Each team in a pool was to play every other team in that pool. Two points are awarded for a win and zero points for a loss with there being no draws or ties. The top three teams in each pool would advance to the next stage called the super six stage and they would carry forward all points they scored in matches against the other two teams which advanced to the super six stages from its pool.
In the super six stages, all teams that advance from pool A are to be in group 1 and all teams that advance from pool B are to be in group 2. Each team in group 1 plays against every team in group 2, with points awarded as in the pool stage. At the end of the super six stages the top two teams in each group, according to their total points (super six points + carry forward points) advance to the semi-finals with the top team in group 1 playing the second team from group 2 and vice versa. The winners of the semi-finals advance to the finals. If two or more teams end up with the same number of points at the end of the pool or the super six stage, the tie is resolved using tiebreak rules.
Q1. The total number of matches in the tournament are
24
18
32
64
Q2. The number of points scored by a team which advanced to the super six stages is at least
2
3
5
4
Q3. The total points (super six points + carry forward points) of a team that advanced to the semi-finals is at least
2
3
5
4
Q4. The maximum number of wins by a team that failed to advance to the semi-finals is
2
3
5
6
Solution:
In the pool stage, as each team plays every other team once, the total matches in each pool is 10. In the super six stages, the total number of matches is 9. ∴ The total matches = 20 + 9 + 2 + 1 = 32. In the pool stage, the total number of points available in each pool is 10 × 2 = 20. As there are five teams, each team can end with four points and two of the teams can be eliminated (or) One team can win all matches and get 8 points, another team 6 points and the three other teams 2 points each and one of them can advance to the super six.
Ans 1: The total number of matches in the tournament is 32. Choice (C)
Ans 2: The number of points scored by a team which advanced to the super six stages is at least 2. Choice (A)
Ans 3: Among the top three teams advancing to the super six stages from each group either all of them would carry forward 2 points each (or) one team would carry forward 4 points, the second team 2 points and the third team zero points. Even if all three teams lose all their super six matches, two teams would advance from this group and so a team with a total of 2 points can advance to the semi-finals. Choice (A)
Ans 4: Three teams can end up with 6 points each at the end of the pool stage, i.e., three wins each. Now, these teams can win all their matches in the super six stages, but one of these teams would be eliminated. ∴a team with 3(in the pool stage) + 3(in the super six stage) wins can be eliminated. Choice (D)
Passage: (Q5- Q8)
Geeta and Neeta are playing a game which involves picking up coins kept on a table. The players take turns alternately and each player in her turn has to pick at least two and at most five coins except when there is only one coin left on the table and the player has to pick that coin in her turn. Both players are equally intelligent and play to the best of their abilities to win the game. Additional data for questions 5 and 6: Assume that the player who picks up the last coin loses the game.
Q5. During a game, when it was Geeta’s turn to play, there were 32 coins left on the table. Which of the following can be the number of coins Geeta should pick up so as to win the game, no matter how Neeta plays?
1
2
4
5
Ans: [B]
To ensure her win Geeta has to make sure that there are one or two coins left when it is Neeta’s turn to play. In each round, Geeta can make sure that seven coins (2 + 5) leave the table.
∴ The number of coins left on the table before Neeta’s turn must be of the form 7n + 1 or 7n + 2 where n is an integer. As there are 32 coins left on the table, she must remove two or three coins, so that the coins left over are of the form 7n + 1 or 7n + 2
Q6. During Neeta’s turn if she removed four coins from the table which made sure that she won the game, then which of the following could have been the number of coins on the table before she removed the four coins?
45
52
76
None of these
Ans: [C]
The number of coins left after Neeta’s turn must be of the form 7n + 1 or 7n + 2. As she removed four coins, the number of coins would here be of the form 7n + 5 or 7n + 6. Only choice (C) satisfies this condition. Choice (C)
Additional data for questions 7 and 8: Assume that the player who picks up the last coin wins the game.
Q7. During a game when it was Neeta’s turn to play, there were 28 coins left on the table. Which of the following is the number of coins she should pick up so as to ensure her win?
1
2
4
Neeta cannot win
Ans: [D]
When the person who picks up the last coin wins the game, one has to make sure that when it is the other person’s turn to play there are six or seven coins left on the table so that whatever the other person plays, one can pick the last coin in his/her turn.
∴ The number of coins left on the table before Geeta’s turn has to be of the form 7n or 7n – 1. As there as 28 coins left on the table, which is of the form 7n, whatever Neeta plays, the number of coins left will not be of the form ‘7n or 7n – 1’ before Geeta’s turn ie Neeta cannot win no matter what she does.
Q8. If during her turn Neeta had to remove two coins so as to ensure her win, then which of the following could have been the number of coins on the table before she removed the coins?
25
30
50
More than one of the above
Ans: [D]
As Neeta removed 2 coins, the number of coins was of the form 7n + 2 or 7n + 1. Choices (B) and (C) satisfy this. Choice (D)
CAT Practice Test Part C: VARC (Verbal Ability & Reading Comprehension)
Q1. Statement: Should religion be included in the curriculum of graduation courses?
Arguments:
I. No, we live in a secular state
II. Yes, teaching religion helps in developing moral values among students.
III. No, how can one dream of such a step when we want our young generation to fulfil their roles in this century?
All are strong
None is strong
Only I is strong
Only II is strong
Only I and III are strong
Ans: [D]
Argument I: Being a secular state does not mean that religion or religious values should be eradicated. Weak argument.
Argument II: Yes, it helps to develop moral values. So, it is a strong argument.
Argument III: does not relate to religion. Weak argument.
Q2. Statement: The government decided to include the income generated out of agricultural activities in Tax. Should it have happened?
Arguments:
I. No, Natural calamities are making Farmers suffer a lot.
II. Yes, around 70% of the population is earning from agriculture and hence their income should be taxed.
III. Yes, many farmers are earning much more than most services men and they should be taxed to remove unfairness.
All are strong
None is strong
Only I is strong
Only II is strong
Only II and III are strong
Ans: [E]
Argument I: If due to natural calamity, they earn less than they will not come under taxpayers as per Income tax act. This is a weak argument.
Argument II: Yes, if more people pay taxes, the economy of our country will be strong. Strong argument.
Argument III: If they are earning more, they should pay taxes. Strong argument.
Q3. Statement: I cannot connect you on zoom meeting at the Himalayas.
Assumptions:
I. Internet facility is not available there.
II. Nowadays, it is difficult to connect to the internet.
Only I is implicit
Only II is implicit
Either I or II is implicit
Neither I nor II is implicit
Both implicit
Ans: [A]
Clearly, the assumption I is implicit. If there is no internet facility then it is impossible to connect for online meetings. So, I is implicit.
Connecting to the internet is difficult but not impossible. So, II is not implicit.
Q4. Statement: ‘Triple your money in 6 months’- An advertisement in a newspaper.
Assumptions:
I. Advertisement is not genuine.
II. Everyone wants to multiply their money.
Only I is implicit
Only II is implicit
Either I or II is implicit
Neither I nor II is implicit
Both implicit
Ans: [B]
Trueness of a statement cannot be judged. So, I is not implicit.
Advertisement is given after assuming that everyone wants to grow their money. So, II is implicit.
Q5. Statement: Until economic equality is achieved, the political freedom and democracy of any country are meaningless.
Conclusions:
I. Political freedom and democracy pass from generation to generation.
II. Economic equality brings real democracy.
Only I is followed
Only II is followed
Either I or II is followed
Neither I nor II is followed
Both followed
Ans: [B]
I. There is no relation between political freedom and economical equality is given. So, will not follow.
II. Directly follows from the statement.
Q6. Statement: Nowadays, parents are prepared to pay any cost for good education for their children.
Conclusions:
I. All parents are very rich.
II. Parents are passionate about the development of their children through good education.
Only I is followed
Only II is followed
Either I or II is followed
Neither I nor II is followed
Both followed
Ans: [B]
I. Irrelevant. Not follows.
II. Directly follows from the statement.
Q7. Write the correct phrase in place of underlined phrase. Whoever is chosen as the new chief, it is likely to take all the decisions for upcoming assembly elections.
Who is chosen as the new chief, she is
Whomever is chosen as the new chief, he is
Whoever is chosen as the new chief is
No correction required
Ans: [C]
Use of ‘who’ is incorrect.
‘Whomever’ is the wrong word in this context.
It is correct.
Q8. Write the correct phrase in place of underlined phrase. Indian Cricket star Virat Kohli has credited his former coach for having a positive effect on his game.
to have had a positive effect on his game.
with having had a positive effect on his game.
as having a dramatic effect on his game.
for having had a positive impact on his game.
Ans: [B]
Credit for- used to ascribe an achievement to someone.
Credit with- To give/get credit for something.
Credit to- normally used in the context of payment.
So, option B seems correct.
Hope you were able to practise the questions and were able to grasp the concepts.
Day 57 will be uploaded tomorrow
Keep practising and be focused
Thank you!
All the best!
Frequently Asked Questions (FAQs)
1. When to apply for the CAT exam 2025?
Application procedure for CAT 2025 is expected start in August 2025 and go up to September 2025. Registration is necessary online on the official CAT site, and it includes the filing of the application form along with the payment of the examination fee. The exam is expected to be conducted on 30th November 2025 and admit cards will get released a few days before the exam date.
2. Which IIM will set CAT 2025?
The responsibility of conducting CAT is rotated among the Indian Institutes of Management (IIMs) yearly. Although the concerned IIM for CAT 2025 is not officially announced as yet, it will be among the leading IIMs, e.g., IIM Ahmedabad, Bangalore, Calcutta, Lucknow, or Kozhikode. The selected IIM will create the paper, conduct the test process, and conduct a just and challenging examination.
3. What is the syllabus of CAT 2025?
The CAT 2025 syllabus contains three broad sections: Quantitative Aptitude (QA) which covers arithmetic, algebra, geometry, and number systems; Logical Reasoning & Data Interpretation (LRDI) on puzzles, seating arrangements, and data analysis; and Verbal Ability & Reading Comprehension (VARC) which encompasses reading passages, sentence correction, and para jumbles. Although CAT has no definitive syllabus, the practice of solving old question papers and mock tests provides an idea about the pattern of the exam.
4. Will CAT 2025 be tough?
CAT has a moderate to high level of difficulty, and the complexity of questions changes every year. The Quant and LRDI sections tend to be tricky because of the time factor, whereas VARC demands good reading comprehension skills. Candidates can increase their performance with regular practice, mock tests, and a proper strategy, and they can tackle the difficulty in an effective manner.
5. Is CAT tougher than IIT?
CAT and IIT entrance tests (JEE Advanced) are demanding in different manners. JEE Advanced is conceptually challenging in Math, Physics, and Chemistry, and demands years of study, whereas CAT checks aptitude, reasoning, and language. CAT is demanding because of its time limitations, unpredictability, and competitiveness, but for an individual with a high aptitude, it is less demanding than JEE Advanced.
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Questions related to CAT
Have a question related to CAT ?
Hello aspirant,
The question papers for CAT MGU University can be found on their official website, or you can also visit careers360 website for the same.
The link of which, I am attaching here,
https://university.careers360.com/articles/mgu-cat-2025
Regards
Mansi Satwani 07 July,2025
Hello Anshuman!!!
You have gotten 86% in 10th, which is a good score. 70% in graduation is not the best but decent. But the main problem is your 12th score which is 62%.
You would be already aware that the Top IIMs (BLACKI) give a big emphasis on your academic score. Let me tell you one example of IIM Ahmedabad,
According to a research i read a few days ago, in IIM Ahmedabad,
70.8%
of students has 90+ percent in 12th,
25.8%
has 80-90 percent and around
3.8%
has less than 80% with the bracket of 60-69 having only
0.26%
students of the total batch. Nearly same is the case of the other top IIMs like IIM Bangalore, IIM Calcutta, IIM Lucknow, IIM Kozhikode and IIM Indore.
Statistically, getting into these TOP IIMs is possible with 62% in 12th is possible (0.26% has done it) but practically you cannot get into these TOP IIMs unless you top the CAT exam.
See, I don't wish to dishearten or demotivate you but I wish to tell you the truth. Although the probability of you getting into these TOP IIMs is very less, but trying is better than doing nothing. You have a good score in 10th which will certainly help you. The least you could do is try your best.
My advice would be that you should not focus on these things like "Will I get top IIM" or negative talk like " I got low marks I won't qualify" etc.
The main focus should be on your preparation.
Give 100% in your preparation because that's the only thing in your hand. You can't change your 10th/12th/Graduation scores but you can put some more effort in your preparation which would certainly help to get better percentile.
Keep working hard and give your best. You might surprise yourself!!! And if not BLACKI, there are many other good colleges like FMS, MDI, newer IIMs etc.
Yash Teotia 06 July,2025
Hello,
Yes, with a 622 rank in IPU CET for MBA and being a Delhi candidate, you have a good chance of getting admission in MAIT (Maharaja Agrasen Institute of Technology).
You don’t need to worry about not giving the CAT exam. IPU CET rank is enough for admission in MAIT under the CET quota.
Just make sure to keep MAIT high in your preference list during counselling.
Hope it helps !
Prachi Kumari 04 July,2025
Hello,
A NEET 2025 score of 333 marks, an All India Rank (AIR) near 3,56,000, and belonging to the SC category from Andhra Pradesh suggest a fair possibility of obtaining an MBBS seat within the state quota, especially in private medical colleges under Category A (government quota seats in private institutions).
In Andhra Pradesh, SC category cut-offs for Category A seats in private institutions generally vary from 320 to 370, influenced by the college and the counselling round. Government medical colleges tend to be more competitive, with the SC cut-off for MBBS frequently rising, often exceeding 400 marks.
Although obtaining a government MBBS seat is improbable, you stand a feasible opportunity in private medical colleges within A category (which offer lower tuition than B and C categories). In Round 2 or the Mop-Up round, you can anticipate improved opportunities, since cut-offs generally decrease when other students move to superior colleges or vacate seats.
Colleges such as NRI Medical College (Guntur), Katuri Medical College (Guntur), Great Eastern Medical School (Srikakulam), Alluri Sitarama Raju Academy of Medical Sciences (Eluru), and Fathima Institute of Medical Sciences (Kadapa) are among those where seats could become available for SC students in subsequent rounds under Category A.
Hope this helps. All the best!
Samriddha Pal 08 July,2025
Yes, candidates who qualify in CUSAT CAT can gain admission to various participating institutes based on their rank. These include engineering colleges associated with CUSAT, such as its own School of Engineering in Kochi, Model Engineering College, and over 20 government and private engineering colleges across Kerala like College of Engineering Thrikkaripur, Co-operative Institute of Technology Vadakara, and MG College of Engineering Thiruvallam. The final seat allotment is based on your rank and your choice of program during the counselling process.
Pradeepa P 02 July,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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