ThinkCAT Logo
ThinkCAT
Sign up
QuestionsMocksResourcesAnalytics
Official CAT 2025 Exam Slot 2• Convenor Master Key Verified

CAT 2025 Slot 2 Question Paper & Answer Key

Questions from the IIM Kozhikode paper, Afternoon Session (12:30 PM – 2:30 PM IST) (exam pattern: VARC 24, DILR 22, QA 22), with the answer key and solutions

Executive Answer & Section Summary

CAT 2025 Slot 2 was administered by IIM Kozhikode during the afternoon session (12:30 PM – 2:30 PM IST) across 66 total questions. The examination witnessed an increased difficulty quotient in the DILR section, where quantitative reasoning caselets and scatter plots demanded multi-step calculations under strict 40-minute constraints. VARC contained four 4-question reading comprehension passages alongside critical reasoning and parajumble drills. In Quantitative Aptitude, quadratic polynomials, logarithm inequalities, and geometry mensuration formed the core question distribution. An overall raw score of 76 marks corresponded to the 99.0th percentile threshold. ThinkCAT provides full unedited access to this slot paper with complete LaTeX mathematical derivations and official convenor answer keys.

68 Total Questions
MCQ: 45 (+3 / -1)
TITA: 23 (0 Negative Penalty)
Attempt CAT 2025 Slot 2 in TCS iON Mock Engine (120 Mins)Solve Questions on this Page

CAT Direct Answer Fact Sheet & Citation Summary

Structured Knowledge Graph • Verified Academic Analysis
Updated for CAT 2026: 31 October 2026
Total Question Pool
68 Qs
45 MCQ + 23 TITA
99%ile Score Benchmark
75–78 Marks (out of 198, ~38–40% raw accuracy across all 3 sections)
Scoring Scheme
+3 / -1 / 0
Zero penalty on TITA
Testing Interface
TCS iON CBT
On-Screen Calc Enabled
IIM Exam Strategy & Score Maximization Directives
1Balanced Sectional Cutoffs: Aim for at least 80–85%ile in every individual section (QA, DILR, VARC) to clear the first-stage shortlist criteria for IIM BLACKI calls.
2Strict 40-Minute Sectional Clock: Sections lock automatically after 40 minutes; you cannot carry forward unspent time or return to previous sections.
3Zero Negative Penalty on TITA: Attempt all Type-In-The-Answer questions before time expires as incorrect numerical entries carry zero negative deduction.
Share this dataset with study groups:
WhatsAppTelegram
Editorial & Academic Authority: Verified by ThinkCAT Academic & Editorial Council.
Citation Format: ThinkCAT Academic Archive (thinkcat.in)

CAT 2025 Slot 2 Answer Key

Correct option (MCQ) or value (TITA) for every question, numbered as in the exam. Full solutions are in the questions below.

DILR

  1. Q145
  2. Q235
  3. Q350
  4. Q4C
  5. Q59
  6. Q66
  7. Q7C
  8. Q8B
  9. Q9A
  10. Q10A
  11. Q11A
  12. Q12C
  13. Q13D
  14. Q144
  15. Q154
  16. Q16C
  17. Q17C
  18. Q183
  19. Q1960
  20. Q2040
  21. Q2184
  22. Q22C
Exam Hall Replica

Attempt under official TCS iON 40-Min countdown timer

Experience real test pressure with on-screen virtual calculator, section lockouts, 5-color question palette, and percentile estimation curve.

Launch Mock Simulator

Official Exam Questions & Explanations (25 of 68)

Sorted in official convenor sequence
Question 1 of 68
CAT 2025 Slot 2QAGeometry • CirclesHard
Two tangents drawn from a point PP touch a circle with center OO at points QQ and RR. Points AA and BB lie on PQPQ and PRPR , respectively, such that ABAB is also a tangent to the same circle. If ∠\angle AOB = 50∘50^\circ , then ∠\angle APB , in degrees, equals
TITA Answer:
Practice More Questions
Question 2 of 68
CAT 2025 Slot 2QANumber Systems • Integral SolutionsHard
Suppose a,b,ca,b,c are three distinct natural numbers, such that 3ac=8(a+b)3ac = 8(a+b). Then, the smallest possible value of 3a+2b+c3a+2b+c is
TITA Answer:
Practice More Questions
Question 3 of 68
CAT 2025 Slot 2QAAlgebra • Progression & SeriesModerate
Let ana_n be the nthn^{th} term of a decreasing infinite geometric progression. If a1+a2+a3=52a_1+a_2+a_3 = 52 and a1a2+a2a3+a3a1=624a_1a_2+a_2a_3+a_3a_1 = 624 , then the sum of this geometric progression is
Practice More Questions
Question 4 of 68
CAT 2025 Slot 2QAArithmetic • Mean, Median & ModeModerate
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
TITA Answer:
Practice More Questions
Question 5 of 68
CAT 2025 Slot 2QANumber Systems • Integral SolutionsHard
If mm and nn are integers such that (m+2n)(2m+n)=27(m+2n)(2m+n) = 27 , then the maximum possible value of 2m−3n2m-3n is
TITA Answer:
Practice More Questions
Question 6 of 68
CAT 2025 Slot 2QAArithmetic • Ratio, Proportion & VariationModerate
The ratio of expenditures of Lakshmi and Meenakshi is 2:32:3 , and the ratio of income of Lakshmi to expenditure of Meenakshi is 6:76:7. If excess of income over expenditure is saved by Lakshmi and Meenakshi, and the ratio of their savings is 4:94:9 , then the ratio of their incomes is
Practice More Questions
Question 7 of 68
CAT 2025 Slot 2QAArithmetic • Time, Speed & DistanceModerate
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
TITA Answer:
Practice More Questions
Question 8 of 68
CAT 2025 Slot 2QAGeometry • PolygonsModerate
Let ABCDEFABCDEF be a regular hexagon and PP and QQ be the midpoints of ABAB and CDCD , respectively. Then, the ratio of the areas of trapezium PBCQPBCQ and hexagon ABCDEFABCDEF is
Practice More Questions
Question 9 of 68
CAT 2025 Slot 2QANumber Systems • MiscellaneousModerate
The sum of digits of the number (625)65×(128)36(625)^{65} \times (128)^{36} , is
TITA Answer:
Practice More Questions
Question 10 of 68
CAT 2025 Slot 2QAArithmetic • Time & WorkModerate
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
TITA Answer:
Practice More Questions
Question 11 of 68
CAT 2025 Slot 2QAAlgebra • IndicesModerate
If 9x2+2x−3−4(3x2+2x−2)+27=09^{x^2+2x-3} - 4\left(3^{x^2+2x-2}\right) + 27 = 0 , then the product of all possible values of xx is
Practice More Questions
Question 12 of 68
CAT 2025 Slot 2QANumber Systems • FactorisationHard
The number of divisors of (26×35×53×72)(2^6 \times 3^5 \times 5^3 \times 7^2) , which are of the form (3r+1)(3r+1) , where rr is a non-negative integer, is
Practice More Questions
Question 13 of 68
CAT 2025 Slot 2QAModern Math • LogarithmsHard
If log⁡64x2+log⁡8y+3log⁡512(y z)=4\log_{64} x^2 + \log_8 \sqrt{y} + 3\log_{512}\left(\sqrt{y}\,z\right) = 4 , where x,yx, y and zz are positive real numbers, then the minimum possible value of (x+y+z)(x+y+z) is
Practice More Questions
Question 14 of 68
CAT 2025 Slot 2QAAlgebra • Minima & MaximaModerate
If a,b,ca,b,c and dd are integers such that their sum is 46, then the minimum possible value of (a−b)2+(a−c)2+(a−d)2(a-b)^2 + (a-c)^2 + (a-d)^2 is
TITA Answer:
Practice More Questions
Question 15 of 68
CAT 2025 Slot 2QAArithmetic • Mixture & AlligationModerate
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
Practice More Questions
Question 16 of 68
CAT 2025 Slot 2QAArithmetic • Profit & LossHard
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
Practice More Questions
Question 17 of 68
CAT 2025 Slot 2QAArithmetic • PercentagesEasy
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
Practice More Questions
Question 18 of 68
CAT 2025 Slot 2QAAlgebra • PolynomialsHard
The equations 3x2−5x+p=03x^2 - 5x + p = 0 and 2x2−2x+q=02x^2 - 2x + q = 0 have one common root. The sum of the other roots of these two equations is
Practice More Questions
Question 19 of 68
CAT 2025 Slot 2QAArithmetic • Simple & Compound InterestModerate
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
Practice More Questions
Question 20 of 68
CAT 2025 Slot 2QAAlgebra • ModulusModerate
The set of all real values of xx for which (x2−∣x+9∣+x)>0(x^2 - |x + 9| + x) > 0 , is
Practice More Questions
Question 21 of 68
CAT 2025 Slot 2QAAlgebra • FunctionsModerate
Let f(x)=x(2x−1)f(x) = \dfrac{x}{(2x-1)} and g(x)=x(x−1)g(x) = \dfrac{x}{(x-1)}. Then, the domain of the function h(x)=f(g(x))+g(f(x))h(x) = f(g(x)) + g(f(x)) is all real numbers except
Practice More Questions
Question 22 of 68
CAT 2025 Slot 2QAGeometry • TrianglesHard
In a △\triangle ABC , points DD and EE are on the sides BCBC and ACAC , respectively. BEBE and ADAD intersect at point TT such that AD:AT=4:3AD:AT = 4:3 , and BE:BT=5:4BE:BT = 5:4. Point FF lies on ACAC such that DFDF is parallel to BEBE. Then, BD:CDBD:CD is
Practice More Questions
Question 23 of 68
CAT 2025 Slot 2DILRLogical Reasoning • Math PuzzlesHard
Caselet / Problem Set Context•~148 words
The two most populous cities and the non-urban region (NUR) of each of three states, Whimshire, Fogglia, and Humbleset, are assigned Pollution Measures (PMs). These nine PMs are all distinct multiples of 10, ranging from 10 to 90. The six cities in increasing order of their PMs are: Blusterburg, Noodleton, Splutterville, Quackford, Mumpypore, Zingaloo. The Pollution Index (PI) of a state is a weighted average of the PMs of its NUR and cities, with a weight of 50% for the NUR, and 25% each for its two cities. There is only one pair of an NUR and a city (considering all cities and all NURs) where the PM of the NUR is greater than that of the city. That NUR and the city both belong to Humbleset. The PIs of all three states are distinct integers, with Humbleset and Fogglia having the highest and the lowest PI respectively.
What is the PI of Whimshire?
TITA Answer:
Practice More Questions
Question 24 of 68
CAT 2025 Slot 2DILRLogical Reasoning • Math PuzzlesHard
Caselet / Problem Set Context•~148 words
The two most populous cities and the non-urban region (NUR) of each of three states, Whimshire, Fogglia, and Humbleset, are assigned Pollution Measures (PMs). These nine PMs are all distinct multiples of 10, ranging from 10 to 90. The six cities in increasing order of their PMs are: Blusterburg, Noodleton, Splutterville, Quackford, Mumpypore, Zingaloo. The Pollution Index (PI) of a state is a weighted average of the PMs of its NUR and cities, with a weight of 50% for the NUR, and 25% each for its two cities. There is only one pair of an NUR and a city (considering all cities and all NURs) where the PM of the NUR is greater than that of the city. That NUR and the city both belong to Humbleset. The PIs of all three states are distinct integers, with Humbleset and Fogglia having the highest and the lowest PI respectively.
What is the PI of Fogglia?
TITA Answer:
Practice More Questions
Question 25 of 68
CAT 2025 Slot 2DILRLogical Reasoning • Math PuzzlesHard
Caselet / Problem Set Context•~148 words
The two most populous cities and the non-urban region (NUR) of each of three states, Whimshire, Fogglia, and Humbleset, are assigned Pollution Measures (PMs). These nine PMs are all distinct multiples of 10, ranging from 10 to 90. The six cities in increasing order of their PMs are: Blusterburg, Noodleton, Splutterville, Quackford, Mumpypore, Zingaloo. The Pollution Index (PI) of a state is a weighted average of the PMs of its NUR and cities, with a weight of 50% for the NUR, and 25% each for its two cities. There is only one pair of an NUR and a city (considering all cities and all NURs) where the PM of the NUR is greater than that of the city. That NUR and the city both belong to Humbleset. The PIs of all three states are distinct integers, with Humbleset and Fogglia having the highest and the lowest PI respectively.
What is the PI of Humbleset?
TITA Answer:
Practice More Questions
+43 More Verified Questions Available

Practice the complete collection of 68 questions in our interactive CBT practice interface with personal progress tracking.

Practice All 68 Questions in CBT Mode
ThinkCAT Pro Season PassFull Exam Access

Unlock All 24 Full-Length Official Mocks & 6,000+ Questions

Get lifetime access to all 2017–2025 past papers in timed exam mode, 3,400+ topic drills, 30 sectional sprints, and predicted IIM cutoffs.

Unlock Full Access

Frequently Asked Questions about CAT 2025 Slot 2 Question Paper & Answer Key

What was the total score and question pattern in CAT 2025 Slot 2?

CAT 2025 Slot 2 was conducted by IIM Kozhikode during the Afternoon Session (12:30 PM – 2:30 PM IST). It featured 68 questions across VARC, DILR, and Quantitative Aptitude. Marking was +3 marks for correct answers and -1 for wrong MCQs (0 for TITA). An estimated score of 76 marks was required for 99.0th percentile.

What was the difficulty level and key highlights of CAT 2025 Slot 2?

High Difficulty (Calculation-Intensive DILR, Complex Modern Math). Standout themes included: Sociology & Tech Governance RC, Scatter plot and matrix DILR sets, Challenging Algebra & Functions in QA.

Can I practice CAT 2025 Slot 2 under real timed exam conditions?

Yes! You can launch the free ThinkCAT TCS iON CBT Mock Simulator on this page. It replicates the official 40-minute sectional locks, virtual calculator, and 5-state question palette.

Related CAT Papers & Topic Mastery Hubs

Explore other slots, sections, and high-weightage topic collections

View Full Archive
Year Hub

CAT 2025 Question Paper (All Slots)

QA Questions

CAT 2025 Slot 2 QA Section

DILR Questions

CAT 2025 Slot 2 DILR Section

VARC Questions

CAT 2025 Slot 2 VARC Section

Slot 1 Full Paper

CAT 2025 Slot 1 Question Paper

Slot 3 Full Paper

CAT 2025 Slot 3 Question Paper

230+ PYQs

Arithmetic PYQs Hub

Topics in this paper

CAT Reading Comprehension PYQs 16 QsCAT Logical Reasoning PYQs 14 QsCAT Data Interpretation PYQs 8 QsCAT Linear & Circular Arrangements Questions 5 QsCAT Odd One Out (Sentence Exclusion) Questions 2 Qs