CAT 2025 Slot 1 QA questions, answer key and solutions
The Quantitative Ability (QA) section of CAT 2025 Slot 1: 22 questions in 40 minutes, 8 TITA and 14 MCQ. The answer key below is CAT's official one; 22 questions link to a step-by-step solution.
| Q | Question | Topic | Type | Answer | Solution |
|---|---|---|---|---|---|
| Q1 | If a-6 b+6 c=4 and 6 a+3 b-3 c=50 , where a, b and c are… | Equations | MCQ | A | Yes |
| Q2 | A cafeteria offers 5 types of sandwiches. Moreover, for each… | Permutations & Probability | MCQ | A | Yes |
| Q3 | The number of distinct integers n for which log _(1/4)(n^2-7… | Logarithms & Exponents | MCQ | B | Yes |
| Q4 | In the set of consecutive odd numbers 1,3,5, , 57 , there is… | Progressions & Series | MCQ | A | Yes |
| Q5 | In a 3-digit number N, the digits are non-zero and distinct… | Number Systems | TITA | 6 | Yes |
| Q6 | At a certain simple rate of interest, a given sum amounts to… | Interest | MCQ | D | Yes |
| Q7 | The number of non-negative integer values of k for which the… | Equations | TITA | 3 | Yes |
| Q8 | A value of c for which the minimum value of f(x)=x^2-4 c x+8… | Inequalities & Modulus | MCQ | D | Yes |
| Q9 | A container holds 200 litres of a solution of acid and… | Ratio, Mixtures & Averages | MCQ | D | Yes |
| Q10 | Shruti travels a distance of 224 km in four parts for a… | Time, Speed & Distance | MCQ | D | Yes |
| Q11 | The ratio of the number of students in the morning shift and… | Ratio, Mixtures & Averages | MCQ | D | Yes |
| Q12 | In a circle with center C and radius 6 √(2) ~cm, P Q and S R… | Geometry | MCQ | C | Yes |
| Q13 | The (x, y) coordinates of vertices P, Q and R of a… | Coordinate Geometry | MCQ | B | Yes |
| Q14 | In a class, there were more than 10 boys and a certain… | Number Systems | TITA | 55 | Yes |
| Q15 | If the length of a side of a rhombus is 36 cm and the area… | Geometry | TITA | 60 | Yes |
| Q16 | A shopkeeper offers a discount of 22% on the marked price of… | Percentages & Profit-Loss | TITA | 175 | Yes |
| Q17 | The number of distinct pairs of integers (x, y) satisfying… | Inequalities & Modulus | TITA | 16 | Yes |
| Q18 | Arun, Varun and Tarun, if working alone, can complete a task… | Time & Work | MCQ | D | Yes |
| Q19 | For any natural number k , let a_k=3^k . The smallest… | Logarithms & Exponents | MCQ | C | Yes |
| Q20 | Stocks A, B and C are priced at rupees 120, 90 and 150 per… | Equations | TITA | 15 | Yes |
| Q21 | Kamala divided her investment of Rs 100000 between stocks… | Equations | TITA | 900 | Yes |
| Q22 | Let 3 ≤ x ≤ 6 and [x^2]=[x]^2 , where [x] is the greatest… | Inequalities & Modulus | MCQ | D | Yes |
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