CAT 2025QASlot 2 · Afternoon

CAT 2025 Slot 2 QA Question Paper with Solutions

40 Minutes22 QuestionsNov 30, 20253 marks correct · −1 wrong

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Q1CAT 2025 Slot 2 QA

A loan of Rs

1000

is fully repaid by two installments of Rs

530

and Rs

594

, paid at the end of first and second year, respectively. If the interest is compounded annually, then the rate of interest, in percentage, is

Q2CAT 2025 Slot 2 QA

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A mixture of coffee and cocoa,

16\%

of which is coffee, costs Rs

240

per kg. Another mixture of coffee and cocoa, of which

36\%

is coffee, costs Rs

320

per kg. If a new mixture of coffee and cocoa costs Rs

376

per kg, then the quantity, in kg, of coffee in

10

kg of this new mixture is

Q3CAT 2025 Slot 2 QA

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The equations

3 x^2 - 5 x + p = 0

and

2 x^2 - 2 x + q = 0

have one common root. The sum of the other roots of these two equations is

Q4CAT 2025 Slot 2 QA

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In a

\triangle ABC

, points D and E are on the sides BC and AC, respectively. BE and AD intersect at point T such that AD : AT = 4 : 3, and BE : BT = 5 : 4. Point F lies on AC such that DF is parallel to BE. Then, BD : CD is

Q5CAT 2025 Slot 2 QA

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Let

a_n

be the n^th term of a decreasing infinite geometric progression. If

a_1 + a_2 + a_3 = 52

and

a_1 a_2 + a_2 a_3 + a_3 a_1 = 624

, then the sum of this geometric progression is

Q6CAT 2025 Slot 2 QA

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A certain amount of money was divided among Pinu, Meena, Rinu and Seema. Pinu received

20\%

of the total amount and Meena received

40\%

of the remaining amount. If Seema received

20\%

less than Pinu, the ratio of the amounts received by Pinu and Rinu is

Q7CAT 2025 Slot 2 QA

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The sum of digits of the number

(625)^{65} \times (128)^{36}

, is

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Q8CAT 2025 Slot 2 QA

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The set of all real values of

x

for which

x^2 - |x + 9| + x > 0

, is

Q9CAT 2025 Slot 2 QA

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The ratio of expenditures of Lakshmi and Meenakshi is 2 : 3, and the ratio of income of Lakshmi to expenditure of Meenakshi is 6 : 7. If excess of income over expenditure is saved by Lakshmi and Meenakshi, and the ratio of their savings is 4 : 9, then the ratio of their incomes is

Q10CAT 2025 Slot 2 QA

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Rita and Sneha can row a boat at 5 km/h and 6 km/h in still water, respectively. In a river flowing with a constant velocity, Sneha takes 48 minutes more to row 14 km upstream than to row the same distance downstream. If Rita starts from a certain location in the river, and returns downstream to the same location, taking a total of 100 minutes, then the total distance, in km, Rita will cover is

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Q11CAT 2025 Slot 2 QA

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Let

f(x) = \dfrac{x}{2 x - 1}

and

g(x) = \dfrac{x}{x - 1}

. Then, the domain of the function

h(x) = f(g(x)) + g(f(x))

is all real numbers except

Q12CAT 2025 Slot 2 QA

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Suppose

a, b, c

are three distinct natural numbers, such that

3ac = 8(a+b)

. Then, the smallest possible value of

3a + 2b + c

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Q13CAT 2025 Slot 2 QA

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\log_{64} x^2 + \log_8 \sqrt{y} + 3 \log_{512} (\sqrt{y} z) = 4

, where

x

y

and

z

are positive real numbers, then the minimum possible value of

(x + y + z)

Q14CAT 2025 Slot 2 QA

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The average number of copies of a book sold per day by a shopkeeper is 60 in the initial seven days and 63 in the initial eight days, after the book launch. On the ninth day, she sells 11 copies less than the eighth day, and the average number of copies sold per day from second day to ninth day becomes 66. The number of copies sold on the first day of the book launch is

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Q15CAT 2025 Slot 2 QA

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Let ABCDEF be a regular hexagon and P and Q be the midpoints of AB and CD, respectively. Then, the ratio of the areas of trapezium PBCQ and hexagon ABCDEF is

Q16CAT 2025 Slot 2 QA

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Ankita is twice as efficient as Bipin, while Bipin is twice as efficient as Chandan. All three of them start together on a job, and Bipin leaves the job after 20 days. If the job got completed in 60 days, the number of days needed by Chandan to complete the job alone, is

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Q17CAT 2025 Slot 2 QA

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The number of divisors of

2^6 \times 3^5 \times 5^3 \times 7^2

, which are of the form

3r+1

, where

r

is a non-negative integer, is

Q18CAT 2025 Slot 2 QA

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9^{x^2 + 2x - 3} - 4(3^{x^2 + 2x - 2}) + 27 = 0

, then the product of all possible values of

x

Q19CAT 2025 Slot 2 QA

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An item with a cost price of Rs.

1650

is sold at a certain discount on a fixed marked price to earn a profit of

20\%

on the cost price. If the discount was doubled, the profit would have been Rs.

110

. The rate of discount, in percentage, at which the profit percentage would be equal to the rate of discount, is nearest to

Q20CAT 2025 Slot 2 QA

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a, b, c

and

d

are integers such that their sum is 46, then the minimum possible value of

(a-b)^2 + (a-c)^2 + (a-d)^2

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Q21CAT 2025 Slot 2 QA

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Two tangents drawn from a point

P

touch a circle with center

O

at points

Q

and

R

. Points

A

and

B

lie on

PQ

and

PR

, respectively, such that

AB

is also a tangent to the same circle. If

\angle AOB = 50^\circ

, then

\angle APB

, in degrees, equals

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Q22CAT 2025 Slot 2 QA

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m

and

n

are integers such that

(m + 2n)(2m + n) = 27

, then the maximum possible value of

2m - 3n

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About CAT 2025 Slot 2 QA

The QA section of CAT 2025 Slot 2 was conducted on November 30, 2025, the last Sunday of November — consistent with IIM's scheduling across all recent years. The section contains 24 questions to be answered in 40 minutes, carrying 72 marks in total. There is no sectional time limit within the overall exam, but students choosing to switch sections mid-paper lose the ability to return — making pacing within QA critical.

Passage Topics in CAT 2025 Slot 2 QA

CAT 2025 Slot 2 QA featured four reading comprehension passages and a standalone Verbal Ability block. The RC passages spanned complexity theory and global systems, the aesthetics of electronic music, the economics of income inequality, and the legal history of criminal responsibility — a typical CAT spread across the sciences, humanities, and social sciences. The VA section included Para Jumbles, Para Summary, and Odd Sentence Out questions, consistent with the pattern since CAT 2019.

CAT 2025 QA Marking Scheme

Correct answer (MCQ): +3 marks
Wrong answer (MCQ): −1 mark
Unattempted (MCQ): 0 marks
TITA questions (if any): +3 correct, no negative marking

How to Use This Question Paper

Click any answer option to immediately check your answer. The correct option is highlighted in green; if you selected the wrong option, it is shown in red and the correct answer is revealed. A detailed explanation appears below each question after you answer it, along with statistics showing what percentage of students answered correctly in the actual exam.

The question navigator at the top of the page updates in real time — green bubbles indicate correct answers and red indicate wrong. Use this to spot weak areas at a glance. To practice under timed conditions, use the Take Full Mock button to attempt the complete CAT 2025 Slot 2 paper with a live timer and percentile benchmarking.

Tips for CAT QA Preparation

Reading Comprehension accounts for roughly two-thirds of the QA section. The passages in CAT are dense and argumentative — they reward close reading of the author's position rather than skimming for facts. Practising on past papers is the most reliable way to calibrate your reading speed, improve inference accuracy, and recognise the types of questions IIM setters favour. Use the answer statistics on this page to benchmark yourself; questions where more than 50% of test-takers answered correctly are ones you should aim to get right every time.