ThinkCAT Logo
ThinkCAT
Sign up
QuestionsMocksResourcesAnalytics
Official Convenor Paper• Convenor Master Key Verified

CAT 2025 Slot 3 QA Questions & Answer Key

Quantitative Aptitude questions from CAT 2025 Slot 3 (IIM Kozhikode, Evening Session (4:30 PM – 6:30 PM IST); 22 in the exam) with the answer key and step-by-step solutions

Executive Answer & Section Summary

CAT 2025 Slot 3 Quantitative Aptitude (QA) was conducted by IIM Kozhikode during the Evening Session (4:30 PM – 6:30 PM IST). The section comprised 22 questions administered under a strict 40-minute sectional countdown. Sectional marking adheres to standard CAT conventions: +3 marks for every correct answer, -1 mark penalty for incorrect MCQs, and zero penalty for non-MCQ TITA questions. Securing a 99.0th percentile in this section required approximately 28–31 marks (~10 net correct). The question distribution featured comprehensive quantitative problem sets covering arithmetic (TSD, work, percentages), algebra (quadratics, polynomials, logarithms), and geometry mensuration. All questions in this archive are sourced from official candidate response sheets, cross-verified with the convenor master key, and solved with step-by-step logic proofs on ThinkCAT.

22 Total Questions
MCQ: 14 (+3 / -1)
TITA: 8 (0 Negative Penalty)
Attempt QA Section in Timed 40-Min ModeSolve Questions on this Page

CAT Direct Answer Fact Sheet & Citation Summary

Structured Knowledge Graph • Verified Academic Analysis
Updated for CAT 2026: 3 November 2026
Verified Questions
22 Qs
14 MCQ + 8 TITA
99%ile Score Benchmark
28–31 Marks (out of 66 in QA, ~10 net correct questions)
Scoring Scheme
+3 / -1 / 0
Zero penalty on TITA
Testing Interface
TCS iON CBT
On-Screen Calc Enabled
IIM Exam Strategy & Score Maximization Directives
1Prioritize high-yield arithmetic & algebra questions first to secure the 85th percentile sectional cutoff in the first 20 minutes.
2TITA questions carry zero negative penalty (0 marks for wrong answers); attempt all TITA questions before the sectional timer runs out.
3Use the on-screen digital calculator only for complex 3-digit divisions; mental math approximations save 35–45 seconds per question.
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 3 QA Answer Key

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

QA

  1. Q165
  2. Q216
  3. Q3B
  4. Q4700
  5. Q5B
  6. Q6B
  7. Q7C
  8. Q8D
  9. Q9B
  10. Q10112
  11. Q11A
  12. Q12D
  13. Q13C
  14. Q14397
  15. Q15C
  16. Q16126
  17. Q17444
  18. Q18A
  19. Q19C
  20. Q20272
  21. Q21B
  22. Q22D
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 (22 of 22)

Sorted in official convenor sequence

Most-searched questions here

Question 1 of 22
CAT 2025 Slot 3QAAlgebra • Progression & SeriesModerate
In an arithmetic progression, if the sum of fourth, seventh and tenth terms is 99, and the sum of the first fourteen terms is 497, then the sum of first five terms is
TITA Answer:
Practice More Questions
Question 2 of 22
CAT 2025 Slot 3QAArithmetic • Mixture & AlligationModerate
Vessels A and B contain 60 litres of alcohol and 60 litres of water, respectively. A certain volume is taken out from A and poured into B. After stirring, the same volume is taken out from B and poured into A. If the resultant ratio of alcohol and water in A is 15 : 4, then the volume, in litres, initially taken out from A is
TITA Answer:
Practice More Questions
Question 3 of 22
CAT 2025 Slot 3QAAlgebra • FunctionsModerate
For real values of xx , the range of the function f(x)=2x−32x2+4x−6f(x)=\frac{2x-3}{2x^2+4x-6} is
Practice More Questions
Question 4 of 22
CAT 2025 Slot 3QAAlgebra • Linear EquationModerate
In a school with 1500 students, each student chooses any one of the streams out of science, arts, and commerce, by paying a fee of Rs 1100, Rs 1000, and Rs 800, respectively. The total fee paid by all the students is Rs 15,50,000. If the number of science students is not more than the number of arts students, then the maximum possible number of science students in the school is
TITA Answer:
Practice More Questions
Question 5 of 22
CAT 2025 Slot 3QANumber Systems • MiscellaneousModerate
For a 4-digit number (greater than 1000), sum of the digits in the thousands, hundreds, and tens places is 15. Sum of the digits in the hundreds, tens, and units places is 16. Also, the digit in the tens place is 6 more than the digit in the units place. The difference between the largest and smallest possible value of the number is
Practice More Questions
Question 6 of 22
CAT 2025 Slot 3QAModern Math • Set TheoryHard
In a class of 150 students, 75 students chose physics, 111 students chose mathematics and 40 students chose chemistry. All students chose at least one of the three subjects and at least one student chose all three subjects. The number of students who chose both physics and chemistry is equal to the number of students who chose both chemistry and mathematics, and this is half the number of students who chose both physics and mathematics. The maximum possible number of students who chose physics but not mathematics, is
Practice More Questions
Question 7 of 22
CAT 2025 Slot 3QAArithmetic • Time & WorkModerate
Teams A, B, and C consist of five, eight, and ten members, respectively, such that every member within a team is equally productive. Working separately, teams A, B, and C can complete a certain job in 40 hours, 50 hours, and 4 hours, respectively. Two members from team A, three members from team B, and one member from team C together start the job, and the member from team C leaves after 23 hours. The number of additional member(s) from team B, that would be required to replace the member from team C, to finish the job in the next one hour, is
Practice More Questions
Question 8 of 22
CAT 2025 Slot 3QANumber Systems • MiscellaneousModerate
The sum of all the digits of the number ((10^{50} + 10^{25} - 123) , is
Practice More Questions
Question 9 of 22
CAT 2025 Slot 3QAArithmetic • Time, Speed & DistanceHard
Rahul starts on his journey at 5 pm at a constant speed so that he reaches his destination at 11 pm the same day. However, on his way, he stops for 20 minutes, and after that, increases his speed by 3 km per hour to reach on time. If he had stopped for 10 minutes more, he would have had to increase his speed by 5 km per hour to reach on time. His initial speed, in km per hour, was
Practice More Questions
Question 10 of 22
CAT 2025 Slot 3QAAlgebra • IndicesModerate
If 1212x×424x+1212^{12x}\times4^{24x+12}×5^{2y} = 8^{4z}×2012x\times20^{12x}×243^{3x-6} , where x,yx , y and zz are natural numbers, then x+y+zx+y+z equals
TITA Answer:
Practice More Questions
Question 11 of 22
CAT 2025 Slot 3QAArithmetic • Mean, Median & ModeModerate
The average salary of 5 managers and 25 engineers in a company is 60000 rupees. If each of the managers received 20% salary increase while the salary of the engineers remained unchanged, the average salary of all 30 employees would have increased by 5%. The average salary, in rupees, of the engineers is
Practice More Questions
Question 12 of 22
CAT 2025 Slot 3QAArithmetic • Profit & LossModerate
The monthly sales of a product from January to April were 120, 135, 150 and 165 units, respectively. The cost price of the product was Rs. 240 per unit, and a fixed marked price was used for the product in all the four months. Discounts of 20%, 10% and 5% were given on the marked price per unit in January, February and March, respectively, while no discounts were given in April. If the total profit from January to April was Rs. 138825, then the marked price per unit, in rupees, was
Practice More Questions
Question 13 of 22
CAT 2025 Slot 3QAArithmetic • Time & WorkModerate
The rate of water flow through three pipes A, B and C are in the ratio 4 : 9 :
36
An empty tank can be filled up completely by pipe A in 15 hours. If all the three pipes are used simultaneously to fill up this empty tank, the time, in minutes, required to fill up the entire tank completely is nearest to
Practice More Questions
Question 14 of 22
CAT 2025 Slot 3QAAlgebra • InequalitiesHard
Let p, q and r be three natural numbers such that their sum is 900, and r is a perfect square whose value lies between 150 and 500. If p is not less than 0.3q and not more than 0.7q, then the sum of the maximum and minimum possible values of p is
TITA Answer:
Practice More Questions
Question 15 of 22
CAT 2025 Slot 3QAAlgebra • PolynomialsHard
If f(x)=(x2+3x)(x2+3x+2)f(x)=(x^2+3x)(x^2+3x+2) , then the sum of all real roots of the equation f(x)+1=9701\sqrt{f(x)+1}=9701 , is
Practice More Questions
Question 16 of 22
CAT 2025 Slot 3QAGeometry • TrianglesModerate
A triangle ABC is formed with AB = AC = 50 cm and BC = 80 cm. Then, the sum of the lengths, in cm, of all three altitudes of the triangle ABC is
TITA Answer:
Practice More Questions
Question 17 of 22
CAT 2025 Slot 3QAArithmetic • Time, Speed & DistanceModerate
Ankita walks from A to C through B, and runs back through the same route at a speed that is 40% more than her walking speed. She takes exactly 3 hours 30 minutes to walk from B to C as well as to run from B to A. The total time, in minutes, she would take to walk from A to B and run from B to C, is
TITA Answer:
Practice More Questions
Question 18 of 22
CAT 2025 Slot 3QAGeometry • QuadrilateralsHard
ABCD is a trapezium in which AB is parallel to DC, AD is perpendicular to AB, and AB = 3DC. If a circle inscribed in the trapezium touching all the sides has a radius of 3 cm, then the area, in sq. cm, of the trapezium is
Practice More Questions
Question 19 of 22
CAT 2025 Slot 3QAModern Math • LogarithmsHard
The sum of all possible real values of xx for which log⁡x−3(x2−9)=log⁡x−3(x+1)+2\log_{x-3}(x^2-9)=\log_{x-3}(x+1)+2 , is
Practice More Questions
Question 20 of 22
CAT 2025 Slot 3QAArithmetic • Ratio, Proportion & VariationModerate
The ratio of the number of coins in boxes A and B was 17:7. After 108 coins were shifted from box A to box B, this ratio became 37:20. The number of coins that needs to be shifted further from A to B, to make this ratio 1:1, is
TITA Answer:
Practice More Questions
Question 21 of 22
CAT 2025 Slot 3QAGeometry • TrianglesHard
In △ABC,AB=AC=12\triangle ABC , AB=AC=12 cm and D is a point on side BC such that AD=8AD=8 cm. If AD is extended to a point E such that ∠ACB=∠\angle ACB=\angle AEB , then the length, in cm, of AE is
Practice More Questions
Question 22 of 22
CAT 2025 Slot 3QAAlgebra • IdentitiesHard
If (x2+1x2)=25\left(x^2+ \frac{1}{x^2}\right)=25 and x>0x>0 , then the value of (x7+1x7)\left(x^7+ \frac{1}{x^7}\right) is
Practice More Questions
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 3 QA Questions & Answer Key

How many questions were asked in CAT 2025 Slot 3 QA?

CAT 2025 Slot 3 QA contained 22 questions convened by IIM Kozhikode. Marking was +3 marks for correct answers, -1 for incorrect MCQs, and zero penalty for TITA questions.

What score was required for a 99th percentile in CAT 2025 Slot 3 QA?

Achieving a 99.0th percentile in QA required approximately 28–31 marks (~10 net correct), reflecting the high difficulty (intensive geometry, deceptive varc inference).

Can I practice other sections of CAT 2025 Slot 3?

Yes! You can explore the full paper or switch directly to DILR, VARC, or QA using the related sectional links below.

Related CAT Papers & Topic Mastery Hubs

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

View Full Archive
Full Paper

CAT 2025 Slot 3 Full Question Paper

All 2025 QA

CAT 2025 QA All Slots Hub

VARC Section

CAT 2025 Slot 3 VARC

DILR Section

CAT 2025 Slot 3 DILR

Slot 1 QA

CAT 2025 Slot 1 QA

Slot 2 QA

CAT 2025 Slot 2 QA

Topics in this paper

CAT Arithmetic PYQs 8 QsCAT Algebra PYQs 7 QsCAT Geometry PYQs 3 QsCAT Modern Math PYQs 2 QsCAT Time and Work & Pipes-Cisterns Questions 2 QsCAT Time, Speed & Distance (TSD) Questions 2 Qs