NinetynineCAT 2024 Slot 1 QA questions, answer key and solutions
The Quantitative Ability (QA) section of CAT 2024 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 | A fruit seller has a total of 187 fruits consisting of… | Ratio, Mixtures & Averages | TITA | 66 | Yes |
| Q2 | If (a+b √(n)) is the positive square root of (29-12 √(5))… | Logarithms & Exponents | MCQ | C | Yes |
| Q3 | The sum of all real values of k for which (1/8)^k… | Logarithms & Exponents | MCQ | B | Yes |
| Q4 | In the X Y -plane, the area, in sq. units, of the region… | Coordinate Geometry | MCQ | B | Yes |
| Q5 | Renu would take 15 days working 4 hours per day to complete… | Time & Work | TITA | 6 | Yes |
| Q6 | In September, the incomes of Kamal, Amal and Vimal are in… | Ratio, Mixtures & Averages | MCQ | C | Yes |
| Q7 | Consider two sets A=2,3,5,7,11,13 and B=1,8,27 . Let f be a… | Permutations & Probability | MCQ | A | Yes |
| Q8 | Let x, y , and z be real numbers satisfying aligned &… | Equations | MCQ | A | Yes |
| Q9 | The sum of all four-digit numbers that can be formed with… | Permutations & Probability | TITA | 31 | Yes |
| Q10 | When 10^100 is divided by 7 , the remainder is | Number Systems | MCQ | D | Yes |
| Q11 | There are four numbers such that average of first two… | Ratio, Mixtures & Averages | TITA | 15 | Yes |
| Q12 | An amount of Rs 10000 is deposited in bank A for a certain… | Interest | MCQ | C | Yes |
| Q13 | A shop wants to sell a certain quantity (in kg) of grains… | Equations | MCQ | D | Yes |
| Q14 | Suppose x_1, x_2, x_3, , x_100 are in arithmetic progression… | Progressions & Series | MCQ | B | Yes |
| Q15 | Two places A and B are 45 kms apart and connected by a… | Time, Speed & Distance | MCQ | C | Yes |
| Q16 | The surface area of a closed rectangular box, which is… | Mensuration | MCQ | B | Yes |
| Q17 | A glass is filled with milk. Two-thirds of its content is… | Ratio, Mixtures & Averages | MCQ | D | Yes |
| Q18 | For any natural number n , let a_n be the largest integer… | Number Systems | TITA | 217 | Yes |
| Q19 | ABCD is a rectangle with sides AB = 56 cm and BC = 45 cm… | Geometry | TITA | 10 | Yes |
| Q20 | If the equations x^2+m x+9=0, x^2+n x+17=0 and x^2+(m+n)… | Equations | TITA | 38 | Yes |
| Q21 | The selling price of a product is fixed to ensure 40%… | Percentages & Profit-Loss | MCQ | D | Yes |
| Q22 | If x is a positive real number such that 4 log _10 x+4 log… | Logarithms & Exponents | TITA | 31 | Yes |
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