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

CAT 2025 Slot 1 QA Questions & Answer Key

Quantitative Aptitude questions from CAT 2025 Slot 1 (IIM Kozhikode, Morning Session (8:30 AM – 10:30 AM IST); 22 in the exam) with the answer key and step-by-step solutions

Executive Answer & Section Summary

CAT 2025 Slot 1 Quantitative Aptitude (QA) was conducted by IIM Kozhikode during the Morning Session (8:30 AM – 10:30 AM 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: 31 October 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 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.

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 1QAArithmetic • Ratio, Proportion & VariationModerate
The ratio of the number of students in the morning shift and afternoon shift of a school was 13 :
9
After 21 students moved from the morning shift to the afternoon shift, this ratio became 19 :
14
Next, some new students joined the morning and afternoon shifts in the ratio 3 : 8 and then the ratio of the number of students in the morning shift and the afternoon shift became 5 :
4
The number of new students who joined is
Practice More Questions
Question 2 of 22
CAT 2025 Slot 1QAGeometry • CirclesHard
In a circle with center CC and radius 626\sqrt{2} cm, PQPQ and SRSR are two parallel chords separated by one of the diameters. If ∠PQC=45∘\angle PQC = 45^\circ , and the ratio of the perpendicular distance of PQPQ and SRSR from CC is 3:23:2 , then the area, in sq. cm, of the quadrilateral PQRSPQRS is
Practice More Questions
Question 3 of 22
CAT 2025 Slot 1QAAlgebra • FunctionsHard
Let 3≤x≤63 \leq x \leq 6 and [x2]=[x]2[x^2] = [x]^2 , where [x][x] is the greatest integer not exceeding xx. If set SS represents all feasible values of xx , then a possible subset of SS is
Practice More Questions
Question 4 of 22
CAT 2025 Slot 1QANumber Systems • Integral SolutionsModerate
The number of distinct pairs of integers (x,y)(x, y) satisfying the inequalities x>y≥3x > y \geq 3 and x+y<14x + y < 14 is
TITA Answer:
Practice More Questions
Question 5 of 22
CAT 2025 Slot 1QAAlgebra • PolynomialsEasy
The number of non-negative integer values of kk for which the quadratic equation x2−5x+k=0x^2 - 5x + k = 0 has only integer roots, is
TITA Answer:
Practice More Questions
Question 6 of 22
CAT 2025 Slot 1QAGeometry • Straight LinesModerate
The (x,y)(x, y) coordinates of vertices P, Q and R of a parallelogram PQRS are (−3,−2),(1,−5)(-3, -2) , (1, -5) and (9,1)(9, 1) , respectively. If the diagonal SQ intersects the xx - axis at (a,0)(a, 0) , then the value of aa is
Practice More Questions
Question 7 of 22
CAT 2025 Slot 1QANumber Systems • FactorisationModerate
In a 3-digit number N, the digits are non-zero and distinct such that none of the digits is a perfect square, and only one of the digits is a prime number. Then, the number of factors of the minimum possible value of N is
TITA Answer:
Practice More Questions
Question 8 of 22
CAT 2025 Slot 1QAModern Math • Permutation & CombinationModerate
A cafeteria offers 5 types of sandwiches. Moreover, for each type of sandwich, a customer can choose one of 4 breads and opt for either small or large sized sandwich. Optionally, the customer may also add up to 2 out of 6 available sauces. The number of different ways in which an order can be placed for a sandwich, is
Practice More Questions
Question 9 of 22
CAT 2025 Slot 1QAAlgebra • Progression & SeriesModerate
In the set of consecutive odd numbers {1,3,5,…,57}\{1, 3, 5, \ldots, 57\} , there is a number kk such that the sum of all the elements less than kk is equal to the sum of all the elements greater than kk. Then, kk equals
Practice More Questions
Question 10 of 22
CAT 2025 Slot 1QAAlgebra • Minima & MaximaModerate
A value of cc for which the minimum value of f(x)=x2−4cx+8cf(x) = x^2 - 4cx + 8c is greater than the maximum value of g(x)=−x2+3cxg(x) = -x^2 + 3cx - 2c , is
Practice More Questions
Question 11 of 22
CAT 2025 Slot 1QAArithmetic • Simple & Compound InterestHard
At a certain simple rate of interest, a given sum amounts to Rs 13920 in 3 years, and to Rs 18960 in 6 years and 6 months. If the same given sum had been invested for 2 years at the same rate as before but with interest compounded every 6 months, then the total interest earned, in rupees, would have been nearest to
Practice More Questions
Question 12 of 22
CAT 2025 Slot 1QAGeometry • QuadrilateralsModerate
If the length of a side of a rhombus is 36 cm and the area of the rhombus is 396 sq. cm, then the absolute value of the difference between the lengths, in cm, of the diagonals of the rhombus is
TITA Answer:
Practice More Questions
Question 13 of 22
CAT 2025 Slot 1QAAlgebra • Progression & SeriesHard
For any natural number kk , let ak=3ka_k = 3^k. The smallest natural number mm for which {(a1)1×(a2)2×…×(a20)20}<{a21×a22×…×a(20+m)}\{(a_1)^1 \times (a_2)^2 \times \ldots \times (a_{20})^{20}\} < \{a_{21} \times a_{22} \times \ldots \times a_{(20+m)}\} , is
Practice More Questions
Question 14 of 22
CAT 2025 Slot 1QAArithmetic • Time, Speed & DistanceHard
Shruti travels a distance of 224 km in four parts for a total travel time of 3 hours. Her speeds in these four parts follow an arithmetic progression, and the corresponding time taken to cover these four parts follow another arithmetic progression. If she travels at a speed of 960 meters per minute for 30 minutes to cover the first part, then the distance, in meters, she travels in the fourth part is
Practice More Questions
Question 15 of 22
CAT 2025 Slot 1QAArithmetic • Mixture & AlligationModerate
A container holds 200 litres of a solution of acid and water, having 30% acid by volume. Atul replaces 20% of this solution with water, then replaces 10% of the resulting solution with acid, and finally replaces 15% of the solution thus obtained, with water. The percentage of acid by volume in the final solution obtained after these three replacements, is nearest to
Practice More Questions
Question 16 of 22
CAT 2025 Slot 1QAArithmetic • Time & WorkHard
Arun, Varun and Tarun, if working alone, can complete a task in 24, 21, and 15 days, respectively. They charge Rs 2160, Rs 2400, and Rs 2160 per day, respectively, even if they are employed for a partial day. On any given day, any of the workers may or may not be employed to work. If the task needs to be completed in 10 days or less, then the minimum possible amount, in rupees, required to be paid for the entire task is
Practice More Questions
Question 17 of 22
CAT 2025 Slot 1QAAlgebra • Linear EquationModerate
If a−6b+6c=4a - 6b + 6c = 4 and 6a+3b−3c=506a + 3b - 3c = 50 , where a,ba , b and cc are real numbers, the value of 2a+3b−3c2a + 3b - 3c is
Practice More Questions
Question 18 of 22
CAT 2025 Slot 1QAArithmetic • PercentagesModerate
In a class, there were more than 10 boys and a certain number of girls. After 40% of the girls and 60% of the boys left the class, the remaining number of girls was 8 more than the remaining number of boys. Then, the minimum possible number of students initially in the class was
TITA Answer:
Practice More Questions
Question 19 of 22
CAT 2025 Slot 1QAArithmetic • PercentagesModerate
Kamala divided her investment of Rs 100000 between stocks, bonds, and gold. Her investment in bonds was 25% of her investment in gold. With annual returns of 10%, 6%, 8% on stocks, bonds, and gold, respectively, she gained a total amount of Rs 8200 in one year. The amount, in rupees, that she gained from the bonds, was
TITA Answer:
Practice More Questions
Question 20 of 22
CAT 2025 Slot 1QAAlgebra • Linear EquationEasy
Stocks A, B and C are priced at rupees 120, 90 and 150 per share, respectively. A trader holds a portfolio consisting of 10 shares of stock A, and 20 shares of stocks B and C put together. If the total value of her portfolio is rupees 3300, then the number of shares of stock B that she holds, is
TITA Answer:
Practice More Questions
Question 21 of 22
CAT 2025 Slot 1QAModern Math • LogarithmsHard
The number of distinct integers nn for which log⁡1/4(n2−7n+11)>0\log_{1/4}(n^2 - 7n + 11) > 0 , is
Practice More Questions
Question 22 of 22
CAT 2025 Slot 1QAArithmetic • Profit & LossModerate
A shopkeeper offers a discount of 22% on the marked price of each chair, and gives 13 chairs to a customer for the discounted price of 12 chairs to earn a profit of 26% on the transaction. If the cost price of each chair is Rs 100, then the marked price, in rupees, of each chair is
TITA Answer:
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 1 QA Questions & Answer Key

How many questions were asked in CAT 2025 Slot 1 QA?

CAT 2025 Slot 1 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 1 QA?

Achieving a 99.0th percentile in QA required approximately 28–31 marks (~10 net correct), reflecting the moderate to high difficulty (lengthy varc passages, balanced arithmetic).

Can I practice other sections of CAT 2025 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 2025 Slot 1 Full Question Paper

All 2025 QA

CAT 2025 QA All Slots Hub

VARC Section

CAT 2025 Slot 1 VARC

DILR Section

CAT 2025 Slot 1 DILR

Slot 2 QA

CAT 2025 Slot 2 QA

Slot 3 QA

CAT 2025 Slot 3 QA

Topics in this paper

CAT Arithmetic PYQs 8 QsCAT Algebra PYQs 7 QsCAT Geometry PYQs 3 QsCAT Modern Math PYQs 2 QsCAT Percentages & Change Multiplier Questions 2 QsCAT Circles Geometry & Tangents Questions 1 Q