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CAT 2017 Slot 1 QA Questions & Answer Key

Quantitative Aptitude questions from CAT 2017 Slot 1 (IIM Lucknow, 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 2017 Slot 1 Quantitative Aptitude (QA) was conducted by IIM Lucknow 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: 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 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. Q120
  2. Q215
  3. Q311
  4. Q420
  5. Q570000
  6. Q6D
  7. Q7B
  8. Q8A
  9. Q9D
  10. Q10A
  11. Q11B
  12. Q12D
  13. Q13D
  14. Q14A
  15. Q15C
  16. Q16B
  17. Q17B
  18. Q18B
  19. Q196
  20. Q2024
  21. Q21D
  22. Q22D
  23. Q23C
  24. Q24B
  25. Q25B
  26. Q2611
  27. Q2724
  28. Q282
  29. Q29160
  30. Q30A
  31. Q31A
  32. Q32A
  33. Q33A
  34. Q34B
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Official Exam Questions & Explanations (25 of 34)

Sorted in official convenor sequence
Question 1 of 34
CAT 2017 Slot 1QAArithmetic • PercentagesModerate
Arun's present age in years is 40%40\% of Barun's. In another few years, Arun's age will be half of Barun's. By what percentage will Barun's age increase during this period?
TITA Answer:
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Question 2 of 34
CAT 2017 Slot 1QAArithmetic • Time & WorkModerate
A person can complete a job in 120 days. He works alone on Day 11. On Day 22 , he is joined by another person who also can complete the job in exactly 120 days. On Day 33 , they are joined by another person of equal efficiency. Like this, everyday a new person with the same efficiency joins the work. How many days are required to complete the job?
TITA Answer:
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Question 3 of 34
CAT 2017 Slot 1QAAlgebra • Minima & MaximaModerate
An elevator has a weight limit of 630 kg. It is carrying a group of people of whom the heaviest weighs 57 kg and the lightest weighs 53 kg. What is the maximum possible number of people in the group?
TITA Answer:
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Question 4 of 34
CAT 2017 Slot 1QAArithmetic • Time, Speed & DistanceEasy
A man leaves his home and walks at a speed of 12 km per hour, reaching the railway station 10 minutes after the train had departed. If instead he had walked at a speed of 15 km per hour, he would have reached the station 10 minutes before the train's departure. The distance (in km) from his home to the railway station is
TITA Answer:
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Question 5 of 34
CAT 2017 Slot 1QAArithmetic • PercentagesModerate
Ravi invests 50%50\% of his monthly savings in fixed deposits. Thirty percent of the rest of his savings is invested in stocks and the rest goes into Ravi's savings bank account. If the total amount deposited by him in the bank (for savings account and fixed deposits) is Rs. 5950059500 , then Ravi's total monthly savings (in Rs.) is
TITA Answer:
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Question 6 of 34
CAT 2017 Slot 1QAArithmetic • Profit & LossModerate
If a seller gives a discount of 15%15 \% on retail price, she still makes a profit of 2%2 \%. Which of the following ensures that she makes a profit of 20%20\%?
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Question 7 of 34
CAT 2017 Slot 1QAArithmetic • Time, Speed & DistanceHard
A man travels by a motor boat down a river to his office and back. With the speed of the river unchanged, if he doubles the speed of his motor boat, then his total travel time gets reduced by 75%75\%. The ratio of the original speed of the motor boat to the speed of the river is
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Question 8 of 34
CAT 2017 Slot 1QAArithmetic • Ratio, Proportion & VariationModerate
Suppose, C1,C2,C3,C4,C1, C2, C3, C4, and C5C5 are five companies. The profits made by C1,C2,C1, C2, and C3C3 are in the ratio 9:10:89: 10: 8 while the profits made by C2,C4,C2, C4, and C5C5 are in the ratio 18:19:2018:19:20. If C5C5 has made a profit of Rs 19 crore more than C1C1 , then the total profit (in Rs) made by all five companies is
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Question 9 of 34
CAT 2017 Slot 1QAArithmetic • PercentagesEasy
The number of girls appearing for an admission test is twice the number of boys. If 30%30\% of the girls and 45%45\% of the boys get admission, the percentage of candidates who do not get admission is
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Question 10 of 34
CAT 2017 Slot 1QAArithmetic • Ratio, Proportion & VariationEasy
A stall sells popcorn and chips in packets of three sizes: large, super, and jumbo. The numbers of large, super, and jumbo packets in its stock are in the ratio 7:17:167: 17: 16 for popcorn and 6:15:146: 15: 14 for chips. If the total number of popcorn packets in its stock is the same as that of chips packets, then the numbers of jumbo popcorn packets and jumbo chips packets are in the ratio
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Question 11 of 34
CAT 2017 Slot 1QAArithmetic • Profit & LossEasy
In a market, the price of medium quality mangoes is half that of good mangoes. A shopkeeper buys 80 kg80 \mathrm{~kg} good mangoes and 40 kg40 \mathrm{~kg} medium quality mangoes from the market and then sells all these at a common price which is 10%10 \% less than the price at which he bought the good ones. His overall profit is
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Question 12 of 34
CAT 2017 Slot 1QAArithmetic • Profit & LossModerate
If Fatima sells 60 identical toys at a 40%40\% discount on the printed price, then she makes 20%20\% profit. Ten of these toys are destroyed in a fire. While selling the rest, how much discount%\% should be given on the printed price so that she can make the same amount of profit?
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Question 13 of 34
CAT 2017 Slot 1QAArithmetic • Ratio, Proportion & VariationHard
If aa and bb are integers of opposite signs such that (a+3)2:(a+3)^{2}: b2=9:1b^{2} = 9: 1 and (a−1)2:(b−1)2=4:1(a-1)^{2}:(b-1)^{2}=4: 1 , then the ratio a2:b2a^{2}: b^{2} is
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Question 14 of 34
CAT 2017 Slot 1QAArithmetic • Mean, Median & ModeModerate
A class consists of 20 boys and 30 girls. In the mid-semester examination, the average score of the girls was 5 higher than that of the boys. In the final exam, however, the average score of the girls dropped by 3 while the average score of the entire class increased by 22. The increase in the average score of the boys is
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Question 15 of 34
CAT 2017 Slot 1QAAlgebra • ModulusEasy
The area of the closed region bounded by the equation ∣x∣+∣y∣=2| x | + | y | = 2 in the two-dimensional plane is
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Question 16 of 34
CAT 2017 Slot 1QAGeometry • TrianglesModerate
From a triangle ABCABC with sides of lengths 40ft, 25ft and 35ft, a triangular portion GBCGBC is cut off where GG is the centroid of ABCABC. The area, in sq ft, of the remaining portion of triangle ABCABC is
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Question 17 of 34
CAT 2017 Slot 1QAGeometry • TrianglesHard
Let ABCABC be a right-angled isosceles triangle with hypotenuse BCBC. Let BQCBQC be a semi-circle, away from AA , with diameter BCBC. Let BPCBPC be an arc of a circle centred at AA and lying between BCBC and BQCBQC. If ABAB has length 6 cm ,then the area, in sq. cm, of the region enclosed by BPCBPC and BQCBQC is:
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Question 18 of 34
CAT 2017 Slot 1QAGeometry • SolidsModerate
A solid metallic cube is melted to form five solid cubes whose volumes are in the ratio 1:1:8:27:271: 1 : 8: 27: 27. The percentage by which the sum of the surface areas of these five cubes exceeds the surface area of the original cube is nearest to :
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Question 19 of 34
CAT 2017 Slot 1QAGeometry • SolidsHard
A ball of diameter 4 cm is kept on top of a hollow cylinder standing vertically. The height of the cylinder is 3 cm, while its volume is 9π9 \pi cm3^3. Then the vertical distance, in cm, of the topmost point of the ball from the base of the cylinder is
TITA Answer:
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Question 20 of 34
CAT 2017 Slot 1QAGeometry • TrianglesModerate
Let ABCA B C be a right-angled triangle with BCB C as the hypotenuse. Lengths of ABA B and AC are 15 km15 \mathrm{~km} and 20krn20 \mathrm{krn} , respectively. The minimum possible time, in minutes, required to reach the hypotenuse from A at a speed of 30 km30 \mathrm{~km} per hour is
TITA Answer:
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Question 21 of 34
CAT 2017 Slot 1QAModern Math • LogarithmsModerate
Suppose, log⁡3x=log⁡12y=a\log_3 x = \log_{12} y = a , where x,yx, y are positive numbers. If GG is the geometric mean of x and y, and log⁡6G\log_6 G is equal to
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Question 22 of 34
CAT 2017 Slot 1QAAlgebra • IdentitiesModerate
If x+1=x2x + 1 = x^2 and x>0x > 0 , then 2x42x^4 is
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Question 23 of 34
CAT 2017 Slot 1QAModern Math • LogarithmsModerate
The value of log⁡0.0085+log⁡381−7\log_{0.008} \sqrt{5} + \log_{\sqrt{3}} 81 - 7 is equal to
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Question 24 of 34
CAT 2017 Slot 1QAAlgebra • IndicesModerate
If 92x−1−81x−1=19449^{2 x-1}- 81^{x-1} = 1944 , then xx is
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Question 25 of 34
CAT 2017 Slot 1QANumber Systems • Integral SolutionsModerate
The number of solutions (x,y,z)(x, y, z) to the equation x−y−z=25x - y - z = 25 , where xx, y , and zz are positive integers such that x≤40,y≤x \le 40, y \le 12 , and z≤12z \le 12 is
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Frequently Asked Questions about CAT 2017 Slot 1 QA Questions & Answer Key

How many questions were asked in CAT 2017 Slot 1 QA?

CAT 2017 Slot 1 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 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 2017 Slot 1?

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 13 QsCAT Algebra PYQs 11 QsCAT Geometry PYQs 5 QsCAT Modern Math PYQs 4 QsCAT Percentages & Change Multiplier Questions 3 QsCAT Profit, Loss & Discount Questions 3 Qs