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CAT 2024 Practice Test Series 14 - QA, LRDI & VARC | Day 56
Edited By Irshad Anwar | Updated on Jan 08, 2025 06:21 AM IST | #CAT
We are on the last days in this 60-day CAT 2025 preparation guide series. The CAT exam for MBA admissions from 2026-2028 will be held on November 2025. The exam date is quickly approaching at this point. For day 56 of Careers360's 60-day CAT 2025 preparation guide series, we are here with a CAT Practice Test which is a free sectional mock test for CAT.
CAT 2025 Practice Test: Best Free Mock Test For CAT
This free sectional mock test for CAT consists of subjects and topics-specific questions and answers. Candidates should download the best free mock test for 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 2024 College Predictor
Know Your Chances for getting Calls from IIMs & other Top MBA Colleges through CAT Percentile, based on your category, academic profile, work-ex & CAT result.
Use 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!
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Questions related to CAT
Have a question related to CAT ?
Hello,
Your chances of being shortlisted for BITS School of Management (BITSOM) with a 90 percentile in CAT 2024, a 9/9/8 academic profile, and 19 months of work experience in a Private Bank Corporation (PBC) are quite good.
Your profile is competitive, and you stand a good chance of being shortlisted for BITSOM. Focus on crafting a strong application, including your SOP and preparing for the interview.
Sanjana 26 January,2025
Hello,
As of now, the National Testing Agency (NTA) has not officially announced the specific dates for the CUET (Common University Entrance Test) UG 2025. However, based on previous years' schedules, the CUET UG exam is typically conducted in May. For instance, in 2024, the CUET UG was held from May 15 to May 31.
Regarding the CAT (Common Admission Test), it is usually administered by the Indian Institutes of Management (IIMs) in November each year. The exact date for CAT 2025 will be announced later in the year.
Sanjana 25 January,2025
Hello,
With a 77.48 percentile in CAT (OBC, non-engineer, fresher) and a strong academic background (777), you can consider the following options:
- Shambalpur & Vizag Calls : Good options to consider.
- Kashipur (IIM) : Your BA call indicates decent chances here.
-
Top Private Colleges
:
- SPJIMR, Mumbai (if they accept CAT scores).
- XIMB, Bhubaneswar .
- IMT Ghaziabad .
- FORE School of Management .
- MICA, Ahmedabad .
- Other IITs : IIT Roorkee, IIT Kharagpur (check their admission process for non-engineers).
Consider applying to these institutes and check for cutoffs and eligibility.
Hope it helps !
Prachi Kumari 26 January,2025
Hello there,
With a 53 percentile in CAT , the chances of receiving a call from XISS (Xavier Institute of Social Service) may be limited, as their typical cutoff for CAT is generally higher than this, especially for their flagship programs like MBA or PGDM .
However, admission depends on several factors such as:
-
Academic Profile
: Your
10th (67.8%)
,
12th (82.5%)
, and
graduation SGPA (7.5)
are decent, and they can contribute positively to your application.
-
Work Experience/Extra-curriculars
: If you have any relevant work experience or strong extra-curricular achievements, it might improve your chances.
- Overall Application Strength : XISS also considers your overall profile, including your statement of purpose (SOP) and interview performance .
Though the
CAT percentile
is a key factor, you might still be considered based on your overall profile if you apply to their
PGDM programs
. It's always worth checking with the college directly for the specific eligibility criteria and cutoffs for the year you're applying.
I would recommend you to use CAT College Predictor Tool by Careers360 to get the list of possible colleges you can get with your rank.
I hope this answer helps you. If you have more queries then feel free to share your questions with us we will be happy to assist you.
Thank you and wishing you all the best for your bright future.
kumardurgesh1802 24 January,2025
The Common Admission Test (CAT) is a highly competitive entrance exam in India for admission to prestigious management programs like the MBA, primarily at the Indian Institutes of Management (IIMs) and other top business schools. It tests a candidate's aptitude in areas such as quantitative ability, verbal ability, logical reasoning, and data interpretation. CAT is valuable for students aspiring to build a career in business, management, or entrepreneurship, as it opens doors to world-class education, exceptional networking opportunities, and lucrative career prospects. Excelling in CAT demonstrates analytical thinking, problem-solving skills, and leadership potential, essential qualities for success in the corporate world.
Tanya Gupta 23 January,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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