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CAT 2020 Slot 3 QA Questions & Answer Key

Quantitative Aptitude questions from CAT 2020 Slot 3 (IIM Indore, Evening Session (4:30 PM – 6:30 PM IST); 26 in the exam) with the answer key and step-by-step solutions

Executive Answer & Section Summary

CAT 2020 Slot 3 Quantitative Aptitude (QA) was conducted by IIM Indore during the Evening Session (4:30 PM – 6:30 PM IST). The section comprised 26 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.

26 Total Questions
MCQ: 18 (+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: 2 November 2026
Verified Questions
26 Qs
18 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.
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Editorial & Academic Authority: Verified by ThinkCAT Academic & Editorial Council.
Citation Format: ThinkCAT Academic Archive (thinkcat.in)

CAT 2020 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. Q1B
  2. Q2C
  3. Q3A
  4. Q4C
  5. Q5A
  6. Q6B
  7. Q728
  8. Q8D
  9. Q924
  10. Q106
  11. Q11A
  12. Q12B
  13. Q13252
  14. Q14B
  15. Q15D
  16. Q1618
  17. Q17C
  18. Q1816000
  19. Q193
  20. Q20A
  21. Q21D
  22. Q22C
  23. Q23C
  24. Q2440
  25. Q25C
  26. Q26D
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Official Exam Questions & Explanations (25 of 26)

Sorted in official convenor sequence
Question 1 of 26
CAT 2020 Slot 3QAArithmetic • Mixture & AlligationModerate
Two alcohol solutions, AA and BB , are mixed in the proportion 1:31:3 by volume. The volume of the mixture is then doubled by adding solution AA such that the resulting mixture has 72%72 \% alcohol. If solution AA has 60%60 \% alcohol, then the percentage of alcohol in solution BB is
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Question 2 of 26
CAT 2020 Slot 3QAArithmetic • Time, Speed & DistanceModerate
Anil, Sunil, and Ravi run along a circular path of length 3 km3 \mathrm{~km} , starting from the same point at the same time, and going in the clockwise direction. If they run at speeds of 15 km/hr,10 km/hr15 \mathrm{~km} / \mathrm{hr}, 10 \mathrm{~km} / \mathrm{hr} , and 8 km/hr8 \mathrm{~km} / \mathrm{hr} , respectively, how much distance in km will Ravi have run when Anil and Sunil meet again for the first time at the starting point?
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Question 3 of 26
CAT 2020 Slot 3QAAlgebra • ModulusModerate
The area, in sq. units, enclosed by the lines x=2,y=∣xx = 2 , y = |x - 2| + 4 , the X−X- axis and the Y−Y- axis is equal to
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Question 4 of 26
CAT 2020 Slot 3QAArithmetic • Time, Speed & DistanceModerate
AA and BB are two railway stations 90 km90 \mathrm{~km} apart. A train leaves AA at 9:009:00 am, heading towards BB at a speed of 40 km/hr40 \mathrm{~km} / \mathrm{hr}. Another train leaves BB at 10:3010:30 am, heading towards AA at a speed of 20 km/hr20 \mathrm{~km} / \mathrm{hr}. The trains meet each other at
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Question 5 of 26
CAT 2020 Slot 3QAArithmetic • PercentagesModerate
In the final examination, Bishnu scored 52%52 \% and Asha scored 64%64 \%. The marks obtained by Bishnu is 23 less, and that by Asha is 34 more than the marks obtained by Ramesh. The marks obtained by Geeta, who scored 84%84 \% , is
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Question 6 of 26
CAT 2020 Slot 3QAModern Math • LogarithmsHard
If log⁡a30=A,log⁡a(5/3)=−B\log_a 30 = A , \log_a(5/3) = - B and log⁡2a=1/3\log_2 a = 1 /3 , then log⁡3a\log_3 a equals
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Question 7 of 26
CAT 2020 Slot 3QAGeometry • QuadrilateralsModerate
In a trapezium ABCD,AB\mathrm{ABCD}, \mathrm{AB} is parallel to DC,BC\mathrm{DC}, \mathrm{BC} is perpendicular to DC and ∠BAD=45∘\angle \mathrm{BAD}=45^{\circ}. If DC=5 cm,BC=4 cm\mathrm{DC}=5 \mathrm{~cm}, \mathrm{BC}=4 \mathrm{~cm} , the area of the trapezium in sq cm is
TITA Answer:
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Question 8 of 26
CAT 2020 Slot 3QAAlgebra • FunctionsEasy
If f(x+y)=f(x)f(y)f(x + y) = f (x) f (y) and f(5)=4f(5) = 4 , then f(10)−f(−10)f (10) - f (-10) is equal to
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Question 9 of 26
CAT 2020 Slot 3QAModern Math • LogarithmsModerate
2×4×8×16(log⁡24)2(log⁡48)3(log⁡816)4\small \dfrac{2\times4\times8\times16}{(\log_2 4)^2 (\log_4 8)^3 (\log_8 16)^4} is equal to
TITA Answer:
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Question 10 of 26
CAT 2020 Slot 3QANumber Systems • Integral SolutionsEasy
Let N,xN, x and yy be positive integers such that N=x+y,2<x<10N = x + y, 2 < x < 10 and 14<y<2314 < y < 23. If N>25N > 25 , then how many distinct values are possible for N?N?
TITA Answer:
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Question 11 of 26
CAT 2020 Slot 3QAArithmetic • Profit & LossHard
A man buys 35 kg of sugar and sets a marked price in order to make a 20%20\% profit. He sells 5 kg at this price, and 15 kg at a 10%10\% discount. Accidentally, 3 kg of sugar is wasted. He sells the remaining sugar by raising the marked price by pp percent so as to make an overall profit of 15%15\%. Then pp is nearest to
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Question 12 of 26
CAT 2020 Slot 3QAArithmetic • Time, Speed & DistanceModerate
Vimla starts for office every day at 9am and reaches exactly on time if she drives at her usual speed of 40 km/hr40 \mathrm{~km} / \mathrm{hr}. She is late by 6 minutes if she drives at 35 km/hr35 \mathrm{~km} / \mathrm{hr}. One day, she covers two-thirds of her distance to office in onethirds of her usual time to reach office, and then stops for 8 minutes. The speed, in km/hr, at which she should drive the remaining distance to reach office exactly on time is
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Question 13 of 26
CAT 2020 Slot 3QAModern Math • Permutation & CombinationEasy
How many integers in the set (100,101,102,…,999)(100,101,102, \ldots, 999) have at least one digit repeated?
TITA Answer:
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Question 14 of 26
CAT 2020 Slot 3QAArithmetic • Mean, Median & ModeModerate
A batsman played n+2n + 2 innings and got out on all occasions. His average score in these n+2n + 2 innings was 29 runs and he scored 38 and 15 runs in the last two innings. The batsman scored less than 38 runs in each of the first nn innings. In these nn innings, his average score was 30 runs and lowest score was xx runs. The smallest possible value of xx is
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Question 15 of 26
CAT 2020 Slot 3QAAlgebra • Linear EquationEasy
Let kk be a constant. The equations kx+y=3kx + y = 3 and 4x+ky=44x + ky = 4 have a unique solution if and only if
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Question 16 of 26
CAT 2020 Slot 3QAArithmetic • Mean, Median & ModeEasy
Dick is thrice as old as Tom and Harry is twice as old as Dick. If Dick's age is 1 year less than the average age of all three, then Harry's age, in years, is
TITA Answer:
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Question 17 of 26
CAT 2020 Slot 3QAGeometry • CirclesModerate
The vertices of a triangle are (0,0)(0,0) , and (4,0)(4,0) and (3,9)(3,9). The area of the circle passing through these three points is
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Question 18 of 26
CAT 2020 Slot 3QAArithmetic • Simple & Compound InterestModerate
A person invested a certain amount of money at 10%10\% annual interest, compounded half-yearly. After one and a half years, the interest and principal together became Rs 1852218522. The amount, in rupees, that the person had invested is
TITA Answer:
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Question 19 of 26
CAT 2020 Slot 3QAAlgebra • IndicesModerate
If a,b,ca, b, c are non-zero and 14a=36b=84c14^a = 36^b = 84^c , then 6b(1c−1a)6b \left(\frac{1}{c} - \frac{1}{a}\right) is equal to
TITA Answer:
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Question 20 of 26
CAT 2020 Slot 3QAGeometry • QuadrilateralsModerate
The points (2,1)(2, 1) and (−3,−4)(-3, -4) are opposite vertices of a parallelogram. If the other two vertices lie on the line x+9y+c=0x + 9y + c = 0 , then cc is
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Question 21 of 26
CAT 2020 Slot 3QAAlgebra • InequalitiesModerate
Let mm and nn be natural numbers such that nn is even and 0.2<m20,nm,n11<0.50.2<\frac{\mathrm{m}}{20}, \frac{\mathrm{n}}{\mathrm{m}}, \frac{\mathrm{n}}{11}<0.5. Then m−2nm-2n equals
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Question 22 of 26
CAT 2020 Slot 3QAAlgebra • Progression & SeriesModerate
If x1=−1x_1 = -1 and xm=xm+1+(m+1)x_m = x_{m+1} + (m + 1) for every positive integer m,m, then x100x_{100} equals
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Question 23 of 26
CAT 2020 Slot 3QANumber Systems • Divisibility RulesModerate
How many of the integers 1,2,.1, 2, ..., 120 , are divisible by none of 2,52, 5 and 77?
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Question 24 of 26
CAT 2020 Slot 3QAArithmetic • Time & WorkModerate
A contractor agreed to construct a 6 km road in 200 days. He employed 140 persons for the work. After 60 days, he realized that only 1.51.5 km road has been completed. How many additional people would he need to employ in order to finish the work exactly on time?
TITA Answer:
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Question 25 of 26
CAT 2020 Slot 3QANumber Systems • FactorisationModerate
How many pairs (a,b)(a, b) of positive integers are there such that a≤ba \le b and ab=42017ab = 4^{2017}?
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Frequently Asked Questions about CAT 2020 Slot 3 QA Questions & Answer Key

How many questions were asked in CAT 2020 Slot 3 QA?

CAT 2020 Slot 3 QA contained 26 questions convened by IIM Indore. 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 2020 Slot 3 QA?

Achieving a 99.0th percentile in QA required approximately 28–31 marks (~10 net correct), reflecting the high speed test (challenging geometry, matrix arrangements).

Can I practice other sections of CAT 2020 Slot 3?

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

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Topics in this paper

CAT Arithmetic PYQs 10 QsCAT Algebra PYQs 7 QsCAT Geometry PYQs 3 QsCAT Modern Math PYQs 3 QsCAT Time, Speed & Distance (TSD) Questions 3 QsCAT Logarithms & Exponential Equations Questions 2 Qs