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

CAT 2019 Slot 1 QA Questions & Answer Key

Quantitative Aptitude questions from CAT 2019 Slot 1 (IIM Kozhikode, Morning Session (8:30 AM – 10:30 AM IST); 34 in the exam) with the answer key and step-by-step solutions

Executive Answer & Section Summary

CAT 2019 Slot 1 Quantitative Aptitude (QA) was conducted by IIM Kozhikode during the Morning Session (8:30 AM – 10:30 AM IST). The section comprised 34 questions administered under a strict 60-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.

34 Total Questions
MCQ: 23 (+3 / -1)
TITA: 11 (0 Negative Penalty)
Attempt QA Section in Timed 60-Min ModeSolve Questions on this Page

CAT Direct Answer Fact Sheet & Citation Summary

Structured Knowledge Graph • Verified Academic Analysis
Updated for CAT 2026: 2 November 2026
Verified Questions
34 Qs
23 MCQ + 11 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 2019 Slot 1 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. Q19
  2. Q2880
  3. Q3D
  4. Q4C
  5. Q53
  6. Q610
  7. Q720
  8. Q86144
  9. Q9A
  10. Q105
  11. Q119
  12. Q12A
  13. Q13B
  14. Q14B
  15. Q15A
  16. Q16D
  17. Q1713
  18. Q18A
  19. Q19D
  20. Q20D
  21. Q21A
  22. Q22C
  23. Q23B
  24. Q242
  25. Q25D
  26. Q26D
  27. Q27C
  28. Q28A
  29. Q29D
  30. Q30B
  31. Q31A
  32. Q323920
  33. Q33D
  34. Q34A
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 34)

Sorted in official convenor sequence
Question 1 of 34
CAT 2019 Slot 1QAArithmetic • Simple & Compound InterestModerate
A person invested a total amount of Rs 15 lakh. A part of it was invested in a fixed deposit earning 6%6\% annual interest, and the remaining amount was invested in two other deposits in the ratio 2:12: 1 , earning annual interest at the rates of 4%4\% and 3%3\% , respectively. If the total annual interest income is Rs 76000 then the amount (in Rs lakh) invested in the fixed deposit was
TITA Answer:
Practice More Questions
Question 2 of 34
CAT 2019 Slot 1QAArithmetic • Time, Speed & DistanceModerate
In a race of three horses, the first beat the second by 11 metres and the third by 90 metres. If the second beat the third by 80 metres, what was the length, in metres, of the racecourse?
TITA Answer:
Practice More Questions
Question 3 of 34
CAT 2019 Slot 1QAAlgebra • IndicesModerate
If (5.55)x=(0.555)y=1000(5.55)^x= (0.555)^y = 1000 , then the value of 1x−1y\frac{1}{x} - \frac{1}{y} is
Practice More Questions
Question 4 of 34
CAT 2019 Slot 1QAArithmetic • PercentagesModerate
The income of Amala is 20%20 \% more than that of Bimala and 20%20 \% less than that of Kamala. If Kamala's income goes down by 4%4 \% and Bimala's goes up by 10%10 \% , then the percentage by which Kamala's income would exceed Bimala's is nearest to
Practice More Questions
Question 5 of 34
CAT 2019 Slot 1QAAlgebra • FunctionsModerate
Consider a function ff satisfying f(x+y)=f(x)f(y)f(\mathrm{x}+\mathrm{y})=f(\mathrm{x}) \mathrm{f}(\mathrm{y}) where x,yx , y are positive integers, and f(1)=2f(1)=2. If f(a+1)+f(a+2)+……+f(a+n)=16(2n−1)f(\mathrm{a}+1)+f(\mathrm{a}+2)+\ldots \ldots+f(\mathrm{a}+\mathrm{n})= 16\left(2^{n} - 1\right) then a is equal to
TITA Answer:
Practice More Questions
Question 6 of 34
CAT 2019 Slot 1QAAlgebra • FunctionsModerate
For any positive integer nn , let f(n)=n(n+1)f(n)=n(n+1) if nn is even, and f(n)=n+3f(n)=n+3 if nn is odd. If mm is a positive integer such that 8f(m+1)−f(m)=28 f(m+1)-f(m)=2 , then mm equals
TITA Answer:
Practice More Questions
Question 7 of 34
CAT 2019 Slot 1QAArithmetic • PercentagesModerate
In a class, 60%60\% of the students are girls and the rest are boys. There are 30 more girls than boys. If 68%68\% of the students, including 30 boys, pass an examination, the percentage of the girls who do not pass is
TITA Answer:
Practice More Questions
Question 8 of 34
CAT 2019 Slot 1QAAlgebra • Progression & SeriesEasy
If a1+a2+a3+⋯+an=3×(2n+1−2)a_1 + a_2 + a_3 + \dots + a_n = 3 \times (2^{n+1} - 2) , for every n≥n \ge 1 , then a11a_{11} equals
TITA Answer:
Practice More Questions
Question 9 of 34
CAT 2019 Slot 1QAArithmetic • Time, Speed & DistanceModerate
Two cars travel the same distance starting at 10:0010:00 am and 11:0011:00 am, respectively, on the same day. They reach their common destination at the same point of time. If the first car travelled for at least 6 hours, then the highest possible value of the percentage by which the speed of the second car could exceed that of the first car is
Practice More Questions
Question 10 of 34
CAT 2019 Slot 1QAAlgebra • ModulusModerate
The number of solution to the equation ∣x∣(6x2+1)=5x2|x|(6x^2 + 1) = 5x^2 is
TITA Answer:
Practice More Questions
Question 11 of 34
CAT 2019 Slot 1QAGeometry • TrianglesModerate
Let TT be the triangle formed by the straight line 3x+5y−45=03x + 5y - 45 = 0 and the coordinate axes. Let the circumcircle of TT have radius of length L,L, measured in the same unit as the coordinate axes. Then, the integer closest to LL is
TITA Answer:
Practice More Questions
Question 12 of 34
CAT 2019 Slot 1QAGeometry • SolidsModerate
If the rectangular faces of a brick have their diagonals in the ratio 3:23: 2 3\sqrt{3}: 15\sqrt{15} , then the ratio of the length of the shortest edge of the brick to that of its longest edge is
Practice More Questions
Question 13 of 34
CAT 2019 Slot 1QAModern Math • LogarithmsModerate
Let xx and yy be positive real numbers such that log⁡5(x+y)+log⁡5(x−y)=3\log _{5}(x+y)+\log _{5}(x-y)=3 , and log⁡2y−log⁡2x=1−log⁡23\log _{2} y-\log _{2} x=1-\log _{2} 3. Then xyx y equals
Practice More Questions
Question 14 of 34
CAT 2019 Slot 1QAModern Math • Set TheoryModerate
A club has 256 members of whom 144 can play football, 123 can play tennis, and 132 can play cricket. Moreover, 58 members can play both football and tennis, 25 can play both cricket and tennis, while 63 can play both football and cricket. If every member can play at least one game, then the number of members who can play only tennis is
Practice More Questions
Question 15 of 34
CAT 2019 Slot 1QAAlgebra • IdentitiesModerate
The product of two positive numbers is 616616. If the ratio of the difference of their cubes to the cube of their difference is 157:3157: 3 , then the sum of the two numbers is
Practice More Questions
Question 16 of 34
CAT 2019 Slot 1QAGeometry • CirclesModerate
In a circle of radius 11 cm, CDCD is a diameter and ABAB is a chord of length 20.520.5 cm. If ABAB and CDCD intersect at a point EE inside the circle and CECE has length 7 cm, then the difference of the lengths of BEBE and AEAE , in cm, is
Practice More Questions
Question 17 of 34
CAT 2019 Slot 1QAArithmetic • Time & WorkModerate
Three men and eight machines can finish a job in half the time taken by three machines and eight men to finish the same job. If two machines can finish the job in 13 days, then how many men can finish the job in 13 days?
TITA Answer:
Practice More Questions
Question 18 of 34
CAT 2019 Slot 1QAArithmetic • Simple & Compound InterestModerate
Amala, Bina, and Gouri invest money in the ratio 3:4:53: 4: 5 in fixed deposits having respective annual interest rates in the ratio 6:5:46: 5:4. What is their total interest income (in Rs) after a year, if Bina's interest income exceeds Amala's by Rs 250250?
Practice More Questions
Question 19 of 34
CAT 2019 Slot 1QAAlgebra • ModulusModerate
The product of the distinct roots of ∣x2−x−6∣=x+2|x^2 − x − 6| = x + 2 is
Practice More Questions
Question 20 of 34
CAT 2019 Slot 1QAAlgebra • FunctionsHard
The number of the real roots of the equation 2cos⁡(x(x+1))=2x+2−x2\cos (x(x + 1)) = 2^x + 2^{-x} is
Practice More Questions
Question 21 of 34
CAT 2019 Slot 1QAArithmetic • Mixture & AlligationModerate
A chemist mixes two liquids 1 and 22. One litre of liquid 1 weighs 1 kg1 \mathrm{~kg} and one litre of liquid 2 weighs 800gm800 \mathrm{gm}. If half litre of the mixture weighs 480gm480 \mathrm{gm} , then the percentage of liquid 1 in the mixture, in terms of volume, is
Practice More Questions
Question 22 of 34
CAT 2019 Slot 1QAGeometry • CirclesModerate
ABAB is a diameter of a circle of radius 5 cm5 \mathrm{~cm}. Let PP and QQ be two points on the circle so that the length of PBPB is 6 cm6 \mathrm{~cm} , and the length of APAP is twice that of AQAQ . Then the length, in cm , of QBQB is nearest to
Practice More Questions
Question 23 of 34
CAT 2019 Slot 1QAGeometry • PolygonsModerate
Corners are cut off from an equilateral triangle TT to produce a regular hexagon HH. Then, the ratio of the area of HH to the area of TT is
Practice More Questions
Question 24 of 34
CAT 2019 Slot 1QAAlgebra • ModulusModerate
Let SS be the set of all points (x,y)(x, y) in the x-y plane such that ∣x∣+∣y∣≤2|x|+|y| \le 2 and ∣x∣≥1|x| \ge 1. Then, the area, in square units, of the region represented by SS equals:
TITA Answer:
Practice More Questions
Question 25 of 34
CAT 2019 Slot 1QAArithmetic • Mean, Median & ModeModerate
Ramesh and Gautam are among 22 students who write an examination. Ramesh scores 82.582.5. The average score of the 21 students other than Gautam is 6262. The average score of all the 22 students is one more than the average score of the 21 students other than Ramesh. The score of Gautam is
Practice More Questions
+9 More Verified Questions Available

Practice the complete collection of 34 questions in our interactive CBT practice interface with personal progress tracking.

Practice All 34 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 2019 Slot 1 QA Questions & Answer Key

How many questions were asked in CAT 2019 Slot 1 QA?

CAT 2019 Slot 1 QA contained 34 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 2019 Slot 1 QA?

Achieving a 99.0th percentile in QA required approximately 28–31 marks (~10 net correct), reflecting the standard cat difficulty profile.

Can I practice other sections of CAT 2019 Slot 1?

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 2019 Slot 1 Full Question Paper

All 2019 QA

CAT 2019 QA All Slots Hub

VARC Section

CAT 2019 Slot 1 VARC

DILR Section

CAT 2019 Slot 1 DILR

Slot 2 QA

CAT 2019 Slot 2 QA

Topics in this paper

CAT Arithmetic PYQs 14 QsCAT Algebra PYQs 12 QsCAT Geometry PYQs 5 QsCAT Modern Math PYQs 3 QsCAT Time, Speed & Distance (TSD) Questions 4 QsCAT Percentages & Change Multiplier Questions 3 Qs