NinetynineCAT 2025 Slot 2 QA questions, answer key and solutions
The Quantitative Ability (QA) section of CAT 2025 Slot 2: 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 m and n are integers such that ( m + 2 n ) ( 2 m + n ) =… | Number Systems | TITA | 17 | Yes |
| Q2 | If log _ 64 x ^ 2 + log _ 8 √( y ) + 3 log _ 512 ( √( y ) z… | Logarithms & Exponents | MCQ | B | Yes |
| Q3 | The average number of copies of a book sold per day by a… | Ratio, Mixtures & Averages | TITA | 49 | Yes |
| Q4 | Let f ( x ) = ( x )/( ( 2 x - 1 ) ) and g ( x ) = ( x )/… | Functions & Graphs | MCQ | A | Yes |
| Q5 | If 9 ^ x ^ 2 + 2 x - 3 - 4 ( 3 ^ x ^ 2 + 2 x - 2 ) + 27 = 0… | Logarithms & Exponents | MCQ | B | Yes |
| Q6 | Let ABCDEF be a regular hexagon and P and Q be the midpoints… | Geometry | MCQ | A | Yes |
| Q7 | If a , b , c and d are integers such that their sum is 46… | Inequalities & Modulus | TITA | 2 | Yes |
| Q8 | Let a _ n be the n ^ th term of a decreasing infinite… | Progressions & Series | MCQ | C | Yes |
| Q9 | Suppose a , b , c are three distinct natural numbers, such… | Number Systems | TITA | 12 | Yes |
| Q10 | Two tangents drawn from a point P touch a circle with center… | Geometry | TITA | 80 | Yes |
| Q11 | The number of divisors of ( 2 ^ 6 × 3 ^ 5 × 5 ^ 3 × 7 ^ 2 )… | Number Systems | MCQ | A | Yes |
| Q12 | Ankita is twice as efficient as Bipin, while Bipin is twice… | Time & Work | TITA | 340 | Yes |
| Q13 | The ratio of expenditures of Lakshmi and Meenakshi is 2 : 3… | Ratio, Mixtures & Averages | MCQ | B | Yes |
| Q14 | The set of all real values of x for which ( x ^ 2 - | x + 9… | Inequalities & Modulus | MCQ | B | Yes |
| Q15 | An item with a cost price of Rs. 1650 is sold at a certain… | Percentages & Profit-Loss | MCQ | B | Yes |
| Q16 | The equations 3 x ^ 2 - 5 x + p = 0 and 2 x ^ 2 - 2 x + q =… | Equations | MCQ | D | Yes |
| Q17 | A mixture of coffee and cocoa, 16% of which is coffee, costs… | Ratio, Mixtures & Averages | MCQ | D | Yes |
| Q18 | A loan of Rs 1000 is fully repaid by two installments of Rs… | Interest | MCQ | A | Yes |
| Q19 | Rita and Sneha can row a boat at 5 km/h and 6 km/h in still… | Time, Speed & Distance | TITA | 8 | Yes |
| Q20 | The sum of digits of the number ( 625 ) ^ 65 × ( 128 ) ^ 36… | Number Systems | TITA | 25 | Yes |
| Q21 | In a A B C , points D and E are on the sides BC and AC… | Geometry | MCQ | C | Yes |
| Q22 | A certain amount of money was divided among Pinu, Meena… | Ratio, Mixtures & Averages | MCQ | B | Yes |
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