Official Convenor Paper• Convenor Master Key Verified

CAT 2017 Slot 2 QA Questions & Answer Key

Quantitative Aptitude questions from CAT 2017 Slot 2 (IIM Lucknow, Afternoon Session (12:30 PM – 2:30 PM IST); 34 in the exam) with the answer key and step-by-step solutions

Executive Answer & Section Summary

CAT 2017 Slot 2 Quantitative Aptitude (QA) was conducted by IIM Lucknow during the Afternoon Session (12:30 PM – 2:30 PM 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)

CAT Direct Answer Fact Sheet & Citation Summary

Structured Knowledge Graph • Verified Academic Analysis
Updated for CAT 2026: 3 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.
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Editorial & Academic Authority: Verified by ThinkCAT Academic & Editorial Council.
Citation Format: ThinkCAT Academic Archive (thinkcat.in)

CAT 2017 Slot 2 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. Q13
  2. Q21900
  3. Q3B
  4. Q4C
  5. Q5B
  6. Q6C
  7. Q7B
  8. Q8A
  9. Q9A
  10. Q10C
  11. Q11C
  12. Q12B
  13. Q13A
  14. Q14C
  15. Q15B
  16. Q16C
  17. Q17D
  18. Q1890
  19. Q19200
  20. Q2016
  21. Q21D
  22. Q22D
  23. Q23C
  24. Q24C
  25. Q25A
  26. Q263
  27. Q2751
  28. Q283
  29. Q296
  30. Q3050
  31. Q311
  32. Q32D
  33. Q33C
  34. Q34A
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Official Exam Questions & Explanations (25 of 34)

Sorted in official convenor sequence
Question 1 of 34
CAT 2017 Slot 2QAModern Math • ClocksModerate
The numbers 1,2,...,91, 2,..., 9 are arranged in a 3×33 \times 3 square grid in such a way that each number occurs once and the entries along each column, each row, and each of the two diagonals add up to the same value.
If the top left and the top right entries of the grid are 6 and 22 , respectively, then the bottom middle entry is
TITA Answer:
Question 2 of 34
CAT 2017 Slot 2QAArithmetic • Time, Speed & DistanceModerate
In a 10 km10 \mathrm{~km} race. A, B, and C , each running at uniform speed, get the gold, silver, and bronze medals, respectively. If A beats B by 1 km1 \mathrm{~km} and B beats C by 1 km1 \mathrm{~km} , then by how many metres does A beat C?
TITA Answer:
Question 3 of 34
CAT 2017 Slot 2QAArithmetic • Mixture & AlligationModerate
Bottle 1 contains a mixture of milk and water in 7:27: 2 ratio and Bottle 2 contains a mixture of milk and water in 9:49: 4 ratio. In what ratio of volumes should the liquids in Bottle 1 and Bottle 2be combined to obtain a mixture of milk and water in 3:13: 1 ratio?
Question 4 of 34
CAT 2017 Slot 2QAArithmetic • Time, Speed & DistanceModerate
Arun drove from home to his hostel at 60 miles per hour. While returning home he drove half way along the same route at a speed of 25 miles per hour and then took a bypass road which increased his driving distance by 5 miles, but allowed him to drive at 50 miles per hour along this bypass road. If his return journey took 30 minutes more than his onward journey, then the total distance traveled by him is
Question 5 of 34
CAT 2017 Slot 2QAArithmetic • PercentagesEasy
Out of the shirts produced in a factory, 15%15 \% are defective, while 20%20 \% of the rest are sold in the domestic market. If the remaining 8840 shirts are left for export, then the number of shirts produced in the factory is
Question 6 of 34
CAT 2017 Slot 2QAArithmetic • Mean, Median & ModeModerate
The average height of 22 toddlers increases by 2 inches when two of them leave this group. If the average height of these two toddlers is one-third the average height of the original 22, then the average height, in inches, of the remaining 20 toddlers is
Question 7 of 34
CAT 2017 Slot 2QAArithmetic • Profit & LossEasy
The manufacturer of a table sells it to a wholesale dealer at a profit of 10%10 \%. The wholesale dealer sells the table to a retailer at a profit of 30%30\%. Finally, the retailer sells it to a customer at a profit of 50%50\%. If the customer pays Rs 4290 for the table, then its manufacturing cost (in Rs) is
Question 8 of 34
CAT 2017 Slot 2QAArithmetic • Time & WorkEasy
A tank has an inlet pipe and an outlet pipe. If the outlet pipe is closed then the inlet pipe fills the empty tank in 8 hours. If the outlet pipe is open then the inlet pipe fills the empty tank in 10 hours. If only the outlet pipe is open then in how many hours the full tank becomes half-full?
Question 9 of 34
CAT 2017 Slot 2QAArithmetic • Profit & LossEasy
Mayank buys some candies for Rs 15a dozen and an equal number of different candies for Rs 12a dozen. He sells all for Rs 16.5016.50 a dozen and makes a profit of Rs 150150. How many dozens of candies did he buy altogether?
Question 10 of 34
CAT 2017 Slot 2QAArithmetic • PercentagesModerate
In a village, the production of food grains increased by 40%40 \% and the per capita production of food grains increased by 27%27\% during a certain period. The percentage by which the population of the village increased during the same period is nearest to
Question 11 of 34
CAT 2017 Slot 2QAArithmetic • Ratio, Proportion & VariationModerate
If a,b,ca, b, c are three positive integers such that a and b are in the ratio 3:43 : 4 while bb and cc are in the ratio 2:12:1 , then which one of the following is a possible value of (a+b+c)(a + b + c)?
Question 12 of 34
CAT 2017 Slot 2QAArithmetic • Time, Speed & DistanceModerate
A motorbike leaves point AA at 1pm and moves towards point BB at a uniform speed. A car leaves point BB at 2pm and moves towards point AA at a uniform speed which is double that of the motorbike. They meet at 3:403:40 pm at a point which is 168 km168 \mathrm{~km} away from AA . What is the distance, in km, between AA and BB ?
Question 13 of 34
CAT 2017 Slot 2QAArithmetic • Time & WorkEasy
Amal can complete a job in 10 days and Bimal can complete it in 8 days. Amal, Bimal and Kamal together complete the job in 4 days and are paid a total amount of Rs 1000 as remuneration. If this amount is shared by them in proportion to their work, then Kamal's share, in rupees, is
Question 14 of 34
CAT 2017 Slot 2QAArithmetic • Mixture & AlligationModerate
Consider three mixtures - the first having water and liquid A in the ratio 1:21: 2 , the second having water and liquid B in the ratio 1:31: 3 , and the third having water and liquid CC in the ratio 1:41: 4. These three mixtures of A,B,A, B, and CC , respectively, are further mixed in the proportion 4:3:24:3:2. Then the resulting mixture has
Question 15 of 34
CAT 2017 Slot 2QAGeometry • PolygonsEasy
Let ABCDEFABCDEF be a regular hexagon with each side of length 1 cm. The area (in sq cm) of a square with ACAC as one side is
Question 16 of 34
CAT 2017 Slot 2QAGeometry • SolidsModerate
The base of a vertical pillar with uniform cross section is a trapezium whose parallel sides are of lengths 10 cm and 20 cm while the other two sides are of equal length. The perpendicular distance between the parallel sides of the trapezium is 12 cm. If the height of the pillar is 20 cm, then the total area, in sq cm, of all six surfaces of the pillar is
Question 17 of 34
CAT 2017 Slot 2QAGeometry • QuadrilateralsEasy
The points (2,5)(2, 5) and (6,3)(6, 3) are two end points of a diagonal of a rectangle. If the other diagonal has the equation y=3x+cy = 3x + c , then cc is
Question 18 of 34
CAT 2017 Slot 2QAGeometry • CirclesModerate
ABCD is a quadrilateral inscribed in a circle with centre O. If ∠\angle COD = 120120 degrees and ∠\angle BAC = 3030 degrees, then the value of ∠\angle BCD(in(in degrees) is
TITA Answer:
Question 19 of 34
CAT 2017 Slot 2QAGeometry • QuadrilateralsModerate
If three sides of a rectangular park have a total length 400ft400 \mathrm{ft} , then the area of the park is maximum when the length (in ft ) of its longer side is
TITA Answer:
Question 20 of 34
CAT 2017 Slot 2QAGeometry • TrianglesModerate
Let PP be an interior point of a right-angled isosceles triangle ABCABC with hypotenuse ABAB . If the perpendicular distance of P from each of AA B, B C , and CAC A is 4(2−1)cm4(\sqrt{2} - 1) \mathrm{cm} , then the area, in sq cm, of the triangle ABCA B C is
TITA Answer:
Question 21 of 34
CAT 2017 Slot 2QANumber Systems • FactorisationEasy
If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is
Question 22 of 34
CAT 2017 Slot 2QAModern Math • LogarithmsModerate
If xx is a real number such that log⁡35=log⁡5(2+x)\log_3 5 = \log_5 (2 + x) , then which of the following is true?
Question 23 of 34
CAT 2017 Slot 2QAAlgebra • FunctionsEasy
Let f(x)=x2f(x) = x^2 and g(x)=2xg(x) = 2^x , for all real xx. Then the value of f(f(g(x))+g(f(x)))f(f(g(x)) + g(f(x))) at x=1x = 1 is
Question 24 of 34
CAT 2017 Slot 2QAAlgebra • Minima & MaximaModerate
The minimum possible value of the sum of the squares of the roots of the equation x2+(a+3)x−(a+5)=0x^{2}+(a+3) x-(a+5)=0 is
Question 25 of 34
CAT 2017 Slot 2QAAlgebra • IndicesModerate
If 9x−12−22x−2=4x−32x−39^{x- \frac{1}{2}} - 2^{2x-2} = 4^x - 3^{2x-3} , then x is
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Frequently Asked Questions about CAT 2017 Slot 2 QA Questions & Answer Key

How many questions were asked in CAT 2017 Slot 2 QA?

CAT 2017 Slot 2 QA contained 34 questions convened by IIM Lucknow. 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 2017 Slot 2 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 2017 Slot 2?

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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