NinetynineCAT 2022 Slot 2 QA questions, answer key and solutions
The Quantitative Ability (QA) section of CAT 2022 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 | In triangle A B C , altitudes A D and B E are drawn to the… | Geometry | MCQ | A | Yes |
| Q2 | Working alone, the times taken by Anu, Tanu and Manu to… | Time & Work | TITA | 6 | Yes |
| Q3 | Regular polygons A and B have number of sides in the ratio 1… | Geometry | TITA | 10 | Yes |
| Q4 | If a and b are non-negative real numbers such that a+2 b=6… | Inequalities & Modulus | MCQ | B | Yes |
| Q5 | Manu earns ₹4000 per month and wants to save an average of… | Ratio, Mixtures & Averages | MCQ | B | Yes |
| Q6 | There are two containers of the same volume, first container… | Ratio, Mixtures & Averages | MCQ | A | Yes |
| Q7 | On day one, there are 100 particles in a laboratory… | Progressions & Series | MCQ | A | Yes |
| Q8 | The average of a non-decreasing sequence of N numbers a_1… | Ratio, Mixtures & Averages | TITA | 14 | Yes |
| Q9 | Let r and c be real numbers. If r and -r are roots of 5… | Equations | MCQ | A | Yes |
| Q10 | Suppose for all integers x , there are two functions f and g… | Functions & Graphs | TITA | 12 | Yes |
| Q11 | In an election, there were four candidates and 80% of the… | Ratio, Mixtures & Averages | MCQ | D | Yes |
| Q12 | The number of integers greater than 2000 that can be formed… | Permutations & Probability | MCQ | A | Yes |
| Q13 | For some natural number n , assume that (15,000) ! is… | Number Systems | MCQ | B | Yes |
| Q14 | The number of distinct integer values of n satisfying (4-log… | Logarithms & Exponents | TITA | 47 | Yes |
| Q15 | In an examination, there were 75 questions. 3 marks were… | Equations | TITA | 24 | Yes |
| Q16 | Five students, including Amit, appear for an examination in… | Inequalities & Modulus | MCQ | C | Yes |
| Q17 | The number of integer solutions of the equation… | Logarithms & Exponents | TITA | 4 | Yes |
| Q18 | Mr. Pinto invests one-fifth of his capital at 6%, one-third… | Interest | TITA | 20 | Yes |
| Q19 | Consider the arithmetic progression 3,7,11, and let A_n… | Progressions & Series | MCQ | C | Yes |
| Q20 | Let f(x) be a quadratic polynomial in x such that f(x) ≥ 0… | Functions & Graphs | MCQ | C | Yes |
| Q21 | The length of each side of an equilateral triangle ABC is 3… | Geometry | MCQ | D | Yes |
| Q22 | Two ships meet mid-ocean, and then, one ship goes south and… | Time, Speed & Distance | MCQ | B | Yes |
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