NinetynineCAT 2023 Slot 1 QA questions, answer key and solutions
The Quantitative Ability (QA) section of CAT 2023 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 x and y are positive real numbers such that log… | Logarithms & Exponents | MCQ | D | Yes |
| Q2 | If x and y are real numbers such that x^2+(x-2 y-1)^2=-4… | Equations | MCQ | B | Yes |
| Q3 | If √(5 x+9)+√(5 x-9)=3(2+√(2)) , then √(10 x+9) is equal to | Logarithms & Exponents | MCQ | D | Yes |
| Q4 | Let n be the least positive integer such that 168 is a… | Number Systems | MCQ | C | Yes |
| Q5 | The number of integer solutions of equation 2|x|(x^2+1)=5… | Inequalities & Modulus | TITA | 3 | Yes |
| Q6 | Let α and β be the two distinct roots of the equation 2… | Equations | TITA | 6 | Yes |
| Q7 | The equation x^3+(2 r+1) x^2+(4 r-1) x+2=0 has -2 as one of… | Equations | TITA | 2 | Yes |
| Q8 | Brishti went on an 8-hour trip in a car. Before the trip… | Time, Speed & Distance | MCQ | B | Yes |
| Q9 | The minor angle between the hours hand and minutes hand of a… | Geometry | MCQ | B | Yes |
| Q10 | In an examination, the average marks of 4 girls and 6 boys… | Ratio, Mixtures & Averages | MCQ | B | Yes |
| Q11 | A mixture P is formed by removing a certain amount of coffee… | Ratio, Mixtures & Averages | MCQ | C | Yes |
| Q12 | The salaries of three friends Sita, Gita and Mita are… | Ratio, Mixtures & Averages | MCQ | A | Yes |
| Q13 | Gita sells two objects A and B at the same price such that… | Percentages & Profit-Loss | MCQ | B | Yes |
| Q14 | Arvind travels from town A to town B, and Surbhi from town B… | Time, Speed & Distance | TITA | 972 | Yes |
| Q15 | The amount of job that Amal, Sunil and Kamal can… | Time & Work | TITA | 27 | Yes |
| Q16 | Anil invests Rs. 22000 for 6 years in a certain scheme with… | Interest | TITA | 20808 | Yes |
| Q17 | Let C be the circle x^2+y^2+4 x-6 y-3=0 and L be the locus… | Coordinate Geometry | MCQ | C | Yes |
| Q18 | A quadrilateral ABCD is inscribed in a circle such that AB… | Geometry | MCQ | C | Yes |
| Q19 | In a right-angled triangle ABC, the altitude AB is 5 cm, and… | Geometry | TITA | 2 | Yes |
| Q20 | For some positive and distinct real numbers x, y and z , if… | Progressions & Series | MCQ | C | Yes |
| Q21 | The number of all natural numbers up to 1000 with… | Permutations & Probability | MCQ | D | Yes |
| Q22 | A lab experiment measures the number of organisms at 8 am… | Progressions & Series | TITA | 19 | Yes |
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