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CAT 2025 Question Papers PDF FREE Download (Slot 1, 2 & 3), Memory-Based Questions With Answer Key & Solutions
CAT 2025 Question Paper PDF FREE Download: IIM Kozhikode conducted CAT 2025 on November 30 across three slots, and with the exam wrapped up, students are eagerly looking forward to the official question paper PDFs. While the original CAT 2025 answer key is scheduled for release today, 4th December, this article already brings you memory-based CAT 2025 question papers for all slots, along with detailed answers and solutions. You’ll also find the CAT 2025 answer key in this article, along with an in-depth slot-wise analysis to help you understand the CAT 2025 exam pattern, difficulty level, and the types of questions asked. Plus, we guide you on how to download the official CAT 2025 question papers the moment they are released, making this page your complete post-exam resource.
This Story also Contains
- CAT 2025 Question Paper PDF Download Links (Memory-Based Questions) - Slot 1, Slot 2 & Slot 3
- CAT 2025 Answer Key
- CAT 2025 Question Paper with Solutions (All Slots)
- CAT 2025 CAT 2025 Analysis - Slot 1, 2 and 3
- CAT 2025 Official Question Paper PDF Download - Slot 1, Slot 2 & Slot 3
- CAT 2025 Exam Overview: Slots, Pattern
- How to Download the CAT 2025 Question Paper?
- CAT 2025 Expected Score vs Percentile: First Cut – All Slots
- CAT 2025 Score vs Percentile - Slot 1, 2 and 3
CAT 2025 Question Paper PDF Download Links (Memory-Based Questions) - Slot 1, Slot 2 & Slot 3
This section gives you the memory-based CAT 2025 question paper PDFs for Slot 1, Slot 2 and Slot 3 that you can download right away. It also includes slot-wise analysis of CAT 2025 exam, recalled questions, and early percentile predictions to help you understand how you may have performed.
Title | Download Link |
CAT 2025 Question Paper PDF Slot 1 (Memory-Based) | |
CAT 2025 Slot 2 Question Paper PDF (Memory-Based) | |
CAT 2025 Slot 3 Question Paper PDF (Memory-Based) | |
CAT 2025 Question Paper PDF Download (All Slots) |
CAT 2025 Answer Key
This section gives you direct access to the CAT 2025 answer key for Slot 1, helping you quickly check your responses, estimate your score, and understand where you stand right after the exam.
| CAT 2025 Slot 1 Answer Key | Download Now |
CAT 2025 Question Paper with Solutions (All Slots)
This section includes the memory-based CAT 2025 questions collected from students across all slots, along with simple solutions to help you understand the approach. It’s a quick way to revise the type of questions asked in the exam.
Question 1: Find the minimum number of integral solutions for
$x + y < 14$
$x > y \ge 3$
Solution:
If $y = 3$, then $x$ can be from $4$ to $10$ (7 solutions)
If $y = 4$, then $x$ can be from $5$ to $9$ (5 solutions)
If $y = 5$, then $x$ can be from $6$ to $8$ (3 solutions)
If $y = 6$, then $x = 7$ (1 solution)
Total = $16$ solutions.
Question 2: The number of boys is 10 more than the number of girls. If 60% boys and 40% girls leave, the difference between remaining students is 8. Find number of boys.
Solution:
Let girls = $G$, boys = $B$.
Given:
$B = G + 10$
Remaining boys = $0.4B$
Remaining girls = $0.6G$
Difference:
$|0.4B - 0.6G| = 8$
Substitute $B = G + 10$:
$|0.4(G+10) - 0.6G| = 8$
$|4 - 0.2G| = 8$
So:
$4 - 0.2G = 8$ or $0.2G - 4 = 8$
Solve:
$G = 40$
$B = 50$
Question 3: Alven (13 days, ₹2000/day), Alen (19 days, ₹1900/day), Peter (20 days, ₹1500/day).
Find minimum cost to complete work in 10 days (fractional days allowed).
Solution:
Work rates:
Alven = $1/13$
Alen = $1/19$
Peter = $1/20$
Cost per unit work:
Alven = $2000 \times 13 = 26000$
Peter = $1500 \times 20 = 30000$
Alen = $1900 \times 19 = 36100$
Use cheapest first.
Alven works 10 days:
Work done = $10/13$
Remaining work = $3/13$
Peter works remaining time:
Time = $(3/13) \div (1/20) = 60/13$
Total cost = $20000 + 1500 \times 60/13$
Total = $20000 + 90000/13$
Total = $350000/13 \approx 26923.08$
Minimum cost ≈ ₹26,923.08
Question 4: A 200 L mixture has 30% acid. 20% mixture replaced with water, then 10% with acid. Final % acid?
Solution:
Initial acid = $0.3 \times 200 = 60$ L
After first replacement:
40 L removed → acid left = $60 \times (160/200) = 48$ L
Acid % = $48/200 = 24%$
After second replacement (20 L replaced):
Water % before = $76%$
Water after replacement = $0.76 \times 190 = 144.4$ L
So acid = $200 - 144.4 = 55.6$ L ≈ $27%$
Final answer ≈ 27% acid
Question 5: Rhombus with side 36 cm and area 396 sq cm. Find $|d_1 - d_2|$.
Solution:
$\frac{1}{2} d_1 d_2 = 396$
$d_1 d_2 = 792$
$(d_1/2)^2 + (d_2/2)^2 = 36^2 = 1296$
$d_1^2 + d_2^2 = 5184$
$(d_1 - d_2)^2 = d_1^2 + d_2^2 - 2 d_1 d_2$
$(d_1 - d_2)^2 = 5184 - 1584 = 3600$
$|d_1 - d_2| = 60$
Question 6: A invests 100000 in stocks, bonds, gold. Interest rates: 10%, 6%, 8%. Bonds = 25% of gold. Interest earned = 8200. Find interest on bonds.
Solution:
$S + B + G = 100000$
Interest:
$0.1S + 0.06B + 0.08G = 8200$
$B = 0.25G$
From total:
$S = 100000 - 1.25G$
Substitute:
$0.1(100000 - 1.25G) + 0.06(0.25G) + 0.08G = 8200$
$10000 - 0.125G + 0.015G + 0.08G = 8200$
$10000 - 0.03G = 8200$
$0.03G = 1800$
$G = 60000$
$B = 15000$
Interest on bonds = $0.06 \times 15000 = 900$
Answer: ₹900
Question 7: Sequence: $1, 3, 5, …, 57$
Find $K$ such that sum before $K$ = sum after $K$.
Solution:
Total terms = 29
Sum = $29^2 = 841$
Let $K$ be the $k$-th term.
Value of term = $2k - 1$
Sum before = $(k - 1)^2$
Condition:
$2(k-1)^2 + (2k - 1) = 841$
Solve:
$k^2 - k - 420 = 0$
$k = 21$
So $K = 2(21) - 1 = 41$
Answer: 41
Question 8: N is the smallest 3-digit number with:
– no perfect square digits
– exactly one prime digit
– all digits distinct
Find factors of this number.
Solution:
Smallest possible = 268
$268 = 2^2 \times 67$
Number of factors = $(2+1)(1+1) = 6$
Question 9: $x^2 - 5x + k = 0$ has integer roots. Find non-negative integer $k$.
Solution:
Sum of roots = 5.
Possible pairs:
(1,4), (0,5), (2,3)
Corresponding $k$ = product:
$1 \cdot 4 = 4$
$0 \cdot 5 = 0$
$2 \cdot 3 = 6$
Values of $k$: 0, 4, 6
Question 10: $\log_{1/4}(x^2 - 7x + 11) > 0$.
Find number of natural number solutions.
Solution:
Base $1/4 < 1$, so:
$x^2 - 7x + 11 < 1$
$x^2 - 7x + 10 < 0$
$(x - 5)(x - 2) < 0$
So $2 < x < 5$ → possible $x = 3, 4$
Check both:
$x=3$: $9 - 21 + 11 = -1$ (invalid)
$x=4$: $16 - 28 + 11 = -1$ (invalid)
No valid $x$.
Answer: 0
Question 11: Shopkeeper gives 22% discount, 13 chairs for price of 12, profit 26%. CP = 100. Find MP.
Solution:
SP of 13 chairs = $126 \times 13 = 1638$
Let MP = $100x$
Discounted price = $78x$
Price of 12 chairs: $12 \times 78x = 936x$
$936x = 1638$
$x = 1.75$
MP = ₹175
Question 12: Amount becomes 13920 in 3 years, and 18960 in 6.5 years at SI.
Find interest in 2 years CI (half-yearly).
Solution:
Using SI:
$P(1 + 3r) = 13920$
$P(1 + 6.5r) = 18960$
Divide:
$\frac{1 + 6.5r}{1 + 3r} = \frac{18960}{13920} = 1.36207$
Solve:
$r = 0.15$
Now:
$P \times 1.45 = 13920$
$P = 9600$
CI (half-yearly):
Rate = $0.075$
Periods = 4
Amount = $9600 \times (1.075)^4 = 12820.5$
Interest = 3220.5
Question 13: $a, b, c$ distinct natural numbers, satisfying $3ac = 8(a + b)$.
Minimize $3a + 2b + c$.
Solution:
$b = ak$
$3ac = 8a(1 + k)$
$c = \frac{8(1+k)}{3}$
For $c$ natural → $1+k \equiv 0 \pmod{3}$ → $k = 2, 5, 8...$
To minimize, take $a = 1$, $k=2$:
$b = 2$
$c = 8$
Value:
$3a + 2b + c = 3 + 4 + 8 = 15$
Answer: 15
CAT 2025 CAT 2025 Analysis - Slot 1, 2 and 3
This section shares the detailed exam analysis for all three slots, along with the YouTube video by our CAT expert, Mr. Ark Srinivas. It helps you understand the difficulty level, question trends, and overall student experience.
CAT 2025 Official Question Paper PDF Download - Slot 1, Slot 2 & Slot 3
The CAT 2025 question paper PDFs for Slot 1, Slot 2 and Slot 3 will be available for download once the official papers are released. This section gives you the direct download details, along with what each slot-wise paper will include.
Title | Download Link |
CAT 2025 Slot 1 Question Paper PDF | Available Soon |
CAT 2025 Slot 2 Question Paper PDF | Available Soon |
CAT 2025 Slot 3 Question Paper PDF | Available Soon |
CAT 2025 Exam Overview: Slots, Pattern
This section gives you a quick look at how the CAT 2025 exam was held across all three slots, along with the overall paper pattern. It helps you understand the structure, number of questions, and what pattern students experienced in each slot.
Particulars | Details |
Mode of examination | Computer-Based Test |
Conducting Body | IIM Kozhikode |
Duration | 2 hours (40 minutes per section) |
Number of Questions | 68 questions VARC - 24 DILR - 22 QA - 22 |
Sections | 3 Sections 1- Verbal Ability and Reading Comprehension 2- Data Interpretation and Logical Reasoning 3- Quantitative Aptitude |
Slots | 3 Slots 8:30 - 10:30 - Slot 1 12:30 - 2:30 - Slot 2 4:30 - 6:30 - Slot 3 |
Marking Scheme | +3 for each correct answer -1 for each wrong answer 0 for unattempted question |
Question Type | MCQs and Non-MCQs (TITA) |
How to Download the CAT 2025 Question Paper?
IIMs do not release a separate official question paper PDF, but you can view all the questions from your slot through the response sheet. Once the response sheets are live, students can also access questions from all three slots online. Here’s the easy process:
Visit the official CAT website: iimcat.ac.in.
Click on the Login button on the homepage.
Enter your CAT registration number and password.
After logging in, open the Response Sheet and Answer Key section.
Download your response sheet - it contains every question that appeared in your slot.
Save the PDF to your device for later review or analysis.
CAT 2025 Expected Score vs Percentile: First Cut – All Slots
This section gives the first rough estimate of score vs percentile for all three slots. It includes a clear table showing the predicted percentiles based on expected scores to help you understand where you might stand.
Percentile | CAT 2025 Slot 1 (Prediction) | CAT 2025 Slot 2 (Prediction) | CAT 2025 Slot 3 (Prediction) |
99.95 | 115+ | 110+ | 112+ |
99.9 | 103–106 | 101–105 | 102–104 |
99.5 | 90–92 | 89–91 | 88–90 |
99 | 78–80 | 77–79 | 76–78 |
97 | 66–68 | 65–67 | 65–67 |
95 | 56–58 | 55–57 | 55–57 |
90 | 45–48 | 44–46 | 44–45 |
85 | 40–42 | 39–41 | 39–40 |
80 | 35–36 | 34–35 | 34–35 |
75 | 32–33 | 31–32 | 31–32 |
70 | 30–31 | 29–30 | 29–30 |
60 | 25–26 | 24–25 | 24–25 |
CAT 2025 Score vs Percentile - Slot 1, 2 and 3
This part explains the expected score vs percentile for each slot, supported by insights from the YouTube analysis by Mr. Ark Srinivas. It gives you a simple idea of how your raw score may convert into a percentile.
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Hello
If you are looking to take admission in the MBA programme with a CAT score of 73, check out the list of MBA Colleges accepting 70-80 percentile .
All the best!
You can find all the information here:
CAT- https://bschool.careers360.com/articles/cat-exam-dates
SNAP- https://bschool.careers360.com/articles/snap-exam-dates
Hi Minakshi,
You can find the details related to IIM Kashipur admission criteria by clicking on the link below:
Dear Saloni,
May i know which college you are looking to apply for? Because the MBA fee varies from one college to another. Please check MBA fees colleges wise here:
MBA Fees in India 2025: Top Colleges, Fee Structure, Courses, Cost of MBA
Admission to IIFT (Indian Institute of Foreign Trade) for its flagship MBA (International Business) is generally through the CAT exam (as per the latest admission process), and there is no regular direct admission without an entrance test. However, executive or certificate courses may have different criteria. With Bcom (Foreign Trade)
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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