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CAT 2025 Memory-Based Questions Released: Slot-Wise VARC, DILR & Quant with Solutions
IIM Kozhikode has released the CAT result 2025 on the official website today, December 24, 2025. The candidates who have appeared for the exam can download their CAT scorecard 2025 using their login credentials. In this article, we have provided CAT memory based questions, solutions, and detailed section-wise analysis for CAT Slot 1 and Slot 2 and Slot 3. In this article, we have discussed estimating their probable CAT 2025 score.
This Story also Contains
- Slot-Wise CAT 2025 Updates
- CAT 2025 Slot 1 Question Paper Analysis
- CAT 2025 Slot 2 Question Paper Analysis
- CAT 2025 Slot 2 Question Paper Analysis
- CAT 2025 Question Paper with Solutions
- Live CAT 2025 Video Analysis by Ark Srinivas
- CAT 2025 Exam Pattern
Slot-Wise CAT 2025 Updates
The CAT 2025 exam will be conducted in three slots, and each slot will provide unique insights into the paper pattern and difficulty. This article will be updated after each slot concludes with memory-based questions, solutions, and CAT slotwise analysis for each section.
CAT 2025 Slot 1 (Morning Session) - Memory-Based Questions
CAT 2025 Slot 1 Quantitaitve Aptitude Memory Based Questions
Q 1. The number of distinct pairs of integers satisfying
$x > y \ge 3$ and $x + y < 14$ is __.
Solution:
We need integer pairs $(x, y)$ with $y \geq 3, x>y$, and $x+y<14$, i.e. $x+y \leq 13$.
For a fixed $y$ we need integers $x$ satisfying $y+1 \leq x \leq 13-y $
This requires $y+1 \leq 13-y$, so $2 y \leq 12$ and hence $y \leq 6$. Thus $y=3,4,5,6$.
Number of $x$ values for each $y$ is $(13-y)-(y+1)+1=13-2 y$ :
$y=3: 13-2 \cdot 3=7$ pairs $(4,3),(5,3), \ldots,(10,3)$.
$y=4: 13-2 \cdot 4=5$ pairs $(5,4), \ldots,(9,4)$.
$y=5$ : $13-2 \cdot 5=3$ pairs $(6,5),(7,5),(8,5)$.
$y=6: 13-2 \cdot 6=1$ pair $(7,6)$.
Total $7+5+3+1=16$.
Q 2. Arun, Tarun and Varun work for 24, 21 and 15 days respectively and get paid 2160, 2400 and 2160 rupees respectively.
They get paid the same even if they work for a partial day. If the work has to be completed within 10 days or less, what is the minimum amount that has to be paid to complete the entire task?
Solution:
Arun and Varun are the cheapest workers.
Daily pay:
Arun $=$ ₹ $90 /$ day, rate $=1 / 24$ job $/$ day
Varun = ₹144/day, rate = $1 / 15$ job/day
Tarun costs more, so exclude him.
Together in 10 days:
$\frac{10}{24}+\frac{10}{15}>1$
So the work can be completed within 10 days by Arun and Varun.
Since both cost ₹2160 per full job, any combination using only them will cost ₹2160.
Q 3. The number of integer values of $k$ for which the quadratic equation
$x^2 - 5x + k = 0$ has real roots is __.
Solution:
For real roots, the discriminant must be non-negative:
$\begin{gathered}b^2-4 a c \geq 0 \\ (-5)^2-4(1)(k) \geq 0 \\ 25-4 k \geq 0\end{gathered}$
$
-4 k \geq-25 \Rightarrow k \leq \frac{25}{4}
$
$k \leq 6.25 \Rightarrow k \leq 6$ (for integer values)
∴ All integer values of $k$ are: $\{\ldots,-3,-2,-1,0,1,2,3,4,5,6\}$
All integers $k \leq 6$
Number of integer values = infinitely many
Q 4. The number of non-negative values of $n$ for which
$\log_{1/4}(n^2 - 7n + 14) > 0$ is __.
Q 5. In a cafeteria, there are 5 breads. One can choose 1 bread from the available breads, either small or large sized, and can choose up to 2 sauces from 6 available sauces. What is the number of different ways one can place an order?
Q 6. If the length of each side of a rhombus is $36$ cm, and the area of the rhombus is $396$ cm$^2$, then what is the absolute value of the difference between the lengths of its diagonals?
Q 7. A shopkeeper allows a discount of $22%$ on the market price of each chair, gives 13 chairs to a customer for the discounted price of 12 chairs, and wants to earn a profit of $26%$. The CP of each chair is $100$. Calculate the market price of each chair.
CAT 2025 Slot 2 (Afternoon Session) - Memory-Based Questions
Timing: 12:30 pm – 2:30 pm
Candidates can check the memory-based questions and solutions along with CAT Slot 2 analysis here. It helps candidates compare difficulty and good attempts across slots soon.
CAT 2025 Slot 2 Question Paper with Solutions
Q 1. If $N=2^3 \times 3^7 \times 5^7 \times 7^9 \times 10$ !, then how many factors of N are there which are perfect squares as well as multiples of 420 ?
A. 500
B. 1080
C. 9000
D. 15840
Ans. A
Q 2. Adam's savings are equal to Ben's expenditure, which in turn is equal to Mary's savings. If Mary's savings are ₹ 50,000 and the incomes of Adam, Ben, and Mary are in the ratio $3: 1: 4$, Mary's expenditure is less than thrice of Adam's expenditure and twice of Adam's expenditure is less than two times Ben's income, then which of the following could be true about Ben's income ( $\mathrm{I}_{\mathrm{B}}$ )?
A. $18000<\mathrm{I}_{\mathrm{B}}<22000$
B. $20000<\mathrm{I}_{\mathrm{B}}<25000$
C. $23000<\mathrm{I}_{\mathrm{B}}<28000$
D. Data Inconsistent
Ans. D
CAT 2025 Slot 3 (Evening Session) - Memory-Based Questions
Timing: 4:30 pm – 6:30 pm
Slot 3 is often perceived as slightly challenging due to cumulative mental fatigue.
Memory-based questions and a detailed CAT Slot 3 analysis will be shared as soon as Slot 3 concludes.
While these memory-based questions are not official, they will be compiled from multiple candidates’ inputs and verified by experts to provide a reliable representation of the exam.
CAT 2025 Slot 1 Question Paper Analysis
CAT 2025 Slot 1 Analysis - Quantitative Aptitude (QA)
Overall, the Quantitative Aptitude section of Slot 1 was easy in terms of difficulty.
1 question was based on Surds and Indices
2 questions were based on Coordinate Geometry
1 question was from Quadratic Equations
1 question from Logarithms
1 question of Profit and Loss was based on marked price, and another was based on Investment
1 question was from Mixture and Alligation
1 question from Permutation and Combination
1 question was from Time and Work
1 question from Time, Speed, and Distance
2 questions were asked from Linear Equations
CAT 2025 Slot 1 Analysis - Verbal Ability and Reading Comprehension Analysis
There were 4 para-jumbles in the section
2 para-summary questions were asked
4 Reading Comprehensions were there (each with 4 questions)
Reading Comprehension passages were short and easier to read
CAT 2025 Slot 1 Analysis - Data Interpretation and Logical Reasoning (LR)
There were 5 sets with a total of 22 questions
The question distribution across sets was 5, 5, 4, 4, 4
Sets included:
Bar chart
Radar chart
Train seat reservation
Export–import relation
Round table with chairs
There were 11 TITA questions
There were 11 MCQ questions
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Use NowCAT 2025 Slot 2 Question Paper Analysis
CAT 2025 Slot 2 Analysis - Quantitative Aptitude (QA)
Included problems from interest, profit–loss, ratios, percentages, and proportional changes.
Data Interpretation required careful observation but could be solved with systematic calculation.
Algebraic questions were straightforward and focused on simplification or substituting values.
Time–speed–distance items demanded attention to units and relative movement.
Overall, the section was manageable for candidates comfortable with standard arithmetic and algebra, but accuracy and pace were important.
CAT 2025 Slot 2 Analysis - Data Interpretation and Logical Reasoning (LR)
Contained puzzles, relationship-based questions, and arrangement setups that required consistent tracking of clues.
Some items involved identifying coded sequences or logical patterns based on rules.
Critical reasoning appeared through strengthening, weakening, or assessing argument structure.
Required steady focus, especially for multi-layered puzzles where one incorrect assumption could disrupt the entire solution.
Difficulty was moderate but rewarded clear reasoning and efficient elimination.
CAT 2025 Slot 2 Analysis - Verbal Ability and Reading Comprehension (VARC)
Featured reading comprehension with questions on central ideas, supporting points, and inferred meanings.
Vocabulary tasks assessed understanding of contextual usage and frequently misinterpreted words.
Grammar questions tested recognition of structural errors and correct tense or phrase usage.
Para-jumbles needed arranging sentences into a proper flow using connectors, themes, and natural transitions.
The overall level was moderate and could be handled well by those with strong reading habits and familiarity with language rules.
CAT 2025 Slot 2 Question Paper Analysis
CAT 2025 Slot 3 Analysis - Verbal Ability and Reading Comprehension Analysis
Overall Level: Moderate to Difficult
Relative Difficulty: Slightly tougher than Slot 1 and Slot 2.
Reading Comprehension
- Two passages were on the difficult side.
- One passage was easier to attempt.
- Included argument-based questions (such as “if true/false”).
- Pattern was similar to previous years.
Verbal Ability
- 2 Para Jumbles
- 2 Para Summary
- 2 Odd One Out (needed careful reasoning)
- 2 Para Completion (comparatively easier)
Mostly aligned with the 2024 pattern, with a few lighter parts.
Overall, VARC was moderate with difficulty spikes in RCs and Odd One Out.
CAT 2025 Slot 3 Analysis - Data Interpretation and Logical Reasoning (LR)
Overall Level: Easy to Moderate
LR Sets
- One set was based on a circular arrangement of about 6–7 people.
DI Sets
- A scatter plot–based DI set appeared.
- Two double-sets were included (each had 4 questions).
A set on incoming and outgoing calls was present.
Overall, the section was manageable with moderate reasoning involved.
CAT 2025 Slot 3 Analysis - Quantitative Aptitude (QA)
Overall Level: Toughest section of Slot 3.
Topics Covered
- Logarithms
- Percentages
- Time, Speed, and Distance (easy)
- Time and Work
- Triangles (very easy)
- One number system question
- One inequality question
- One question on Surds
Distribution and Nature
Around 8–9 questions were from Arithmetic.
Many questions needed detailed calculations.
Even with familiar topics, this section felt harder than Slot 1 and Slot 2.
CAT 2025 Question Paper with Solutions
The CAT 2025 question paper with solutions will be published soon. We will update this page with memory-based questions from the CAT 2025 exam analysis from every slot soon followed by answer keys and expert-checked solutions.
Live CAT 2025 Video Analysis by Ark Srinivas
Get real-time expert insights through slot-wise video analysis conducted by Ark Srinivas. Each session’s review will cover the CAT 2025 difficulty level, good attempts, expected cut-offs, and important takeaways.
CAT 2025 Exam Pattern
The CAT 2025 exam pattern was the same as last year. The examination followed the same format, section-wise structure, and marking scheme as the previous year.
Below is the expected CAT 2025 exam pattern:
Particulars | CAT Exam Pattern |
CAT exam time duration | 2 Hours (120 Minutes) |
Name of the Section | Verbal Ability & Reading Comprehension (VARC) Data Interpretation & Logical Reasoning (DILR) |
CAT slot timings | CAT slot 1 timing: 8:30 am - 10:30 am (Morning Session) CAT slot 2 timing: 12:30 pm - 2:30 pm (Afternoon Session) CAT slot 3 timing: 4:30 pm - 6:30 pm (Evening Session) |
No of Questions | 68 Questions |
Total marks of CAT exam | 204 |
Mode of the CAT 2025 exam | Computer-Based Mode (CBT) |
CAT Marking Scheme | For every right answer, +3 will be given For every wrong answer in MCQs, a negative mark of -1 will be deducted Non-MCQs do not have any negative marks |
Frequently Asked Questions (FAQs)
Q: Where can I access CAT 2025 memory-based questions PDF?
A:
You can download memory-based questions and solutions from this page once each slot concludes.
Q: When will the official CAT 2025 answer key be released?
A:
The official answer key and response sheet will be released by the Indian Institute of Management Kozhikode a few days after the exam.
Q: When will CAT 2025 memory-based questions be available?
A:
Memory-based questions for CAT 2025 will be shared after each slot concludes on 30th November 2025. The article will be updated in real-time with memory-based questions and solutions.
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Check your devices and email; you may still have the soft copy of the Admit card. If not, don't panic, the CAT 2025 admit card may not be a huge requirement after the exam; the CAT scorecard is usually asked for the admission formalities.
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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