NinetynineCAT 2025 Slot 3 QA questions, answer key and solutions
The Quantitative Ability (QA) section of CAT 2025 Slot 3: 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 | A triangle ABC is formed with AB = AC = 50 cm and BC = 80… | Geometry | TITA | 126 | Yes |
| Q2 | In an arithmetic progression, if the sum of fourth, seventh… | Progressions & Series | TITA | 65 | Yes |
| Q3 | ABCD is a trapezium in which AB is parallel to DC , AD is… | Geometry | MCQ | C | Yes |
| Q4 | If ( x ^ 2 + 1 x ^ 2 ) = 25 and x > 0 , then the value of… | Logarithms & Exponents | MCQ | C | Yes |
| Q5 | The monthly sales of a product from January to April were… | Percentages & Profit-Loss | MCQ | A | Yes |
| Q6 | Rahul starts on his journey at 5 pm at a constant speed so… | Time, Speed & Distance | MCQ | D | Yes |
| Q7 | The sum of all possible real values of x for which log _ x… | Logarithms & Exponents | MCQ | C | Yes |
| Q8 | The ratio of the number of coins in boxes A and B was 17:7… | Ratio, Mixtures & Averages | TITA | 272 | Yes |
| Q9 | If 12 ^ 12 x × 4 ^ 24 x + 12 × 5 ^ 2 y = 8 ^ 4 z × 20 ^ 12 x… | Logarithms & Exponents | TITA | 112 | Yes |
| Q10 | Teams A, B, and C consist of five, eight, and ten members… | Time & Work | MCQ | A | Yes |
| Q11 | If f ( x ) = ( x ^ 2 + 3 x ) ( x ^ 2 + 3 x + 2 ) , then the… | Equations | MCQ | B | Yes |
| Q12 | The average salary of 5 managers and 25 engineers in a… | Ratio, Mixtures & Averages | MCQ | A | Yes |
| Q13 | In a school with 1500 students, each student chooses any one… | Inequalities & Modulus | TITA | 700 | Yes |
| Q14 | In a class of 150 students, 75 students chose physics, 111… | Set Theory | MCQ | B | Yes |
| Q15 | For real values of x , the range of the function f ( x ) = 2… | Functions & Graphs | MCQ | B | Yes |
| Q16 | Ankita walks from A to C through B, and runs back through… | Time, Speed & Distance | TITA | 444 | Yes |
| Q17 | The sum of all the digits of the number ( 10 ^ 50 + 10 ^ 25… | Number Systems | MCQ | B | Yes |
| Q18 | In A B C , A B = A C = 12 ~cm and D is a point on side B C… | Geometry | MCQ | C | Yes |
| Q19 | The rate of water flow through three pipes A, B and C are in… | Time & Work | MCQ | A | Yes |
| Q20 | For a 4-digit number (greater than 1000), sum of the digits… | Number Systems | MCQ | C | Yes |
| Q21 | Let p, q and r be three natural numbers such that their sum… | Inequalities & Modulus | TITA | 397 | Yes |
| Q22 | Vessels A and B contain 60 litres of alcohol and 60 litres… | Ratio, Mixtures & Averages | TITA | 16 | Yes |
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