CAT 2025 Memory-Based Questions Released: Slot-Wise VARC, DILR & Quant with Solutions

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

CAT 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: