NinetynineCAT 2020 Slot 2 QA questions, answer key and solutions
The Quantitative Ability (QA) section of CAT 2020 Slot 2: 26 questions in 40 minutes, 8 TITA and 18 MCQ. The answer key below is CAT's official one.
| Q | Question | Topic | Type | Answer | Solution |
|---|---|---|---|---|---|
| Q1 | In a car race, car A beats car B by 45 km, car B beats car C… | Time, Speed & Distance | MCQ | D | |
| Q2 | From the interior point of an equilateral triangle… | Geometry | MCQ | C | |
| Q3 | In a group of 10 students, the mean of the lowest 9 scores… | Ratio, Mixtures & Averages | MCQ | C | |
| Q4 | The number of pairs of integers(x,y) satisfying x ≥ y ≥ -20… | Number Systems | TITA | 17 | |
| Q5 | The value of log_a a/b + log_b b/a , for 1 < a ≤ b cannot be… | Logarithms & Exponents | MCQ | B | |
| Q6 | Let the m-th and n-th terms of a Geometric progression be… | Progressions & Series | MCQ | B | |
| Q7 | If x and y are positive real numbers satisfying x + y = 102… | Inequalities & Modulus | TITA | 2704 | |
| Q8 | For the same principal amount, the compound interest for two… | Interest | TITA | 90000 | |
| Q9 | Let C be a circle of radius 5 meters having center at O. Let… | Geometry | MCQ | C | |
| Q10 | For real x, the maximum possible value of x√(1 + x^4) is | Inequalities & Modulus | MCQ | C | |
| Q11 | Anil buys 12 toys and labels each with the same selling… | Percentages & Profit-Loss | MCQ | B | |
| Q12 | If x and y are non-negative integers such that x + 9 = z, y… | Inequalities & Modulus | TITA | 23 | |
| Q13 | Students in a college have to choose at least two subjects… | Set Theory | MCQ | C | |
| Q14 | Let f(x) = x^2 + ax + b and g(x) = f(x + 1) - f(x - 1). If… | Functions & Graphs | MCQ | C | |
| Q15 | The distance from B to C is thrice that from A to B. Two… | Time, Speed & Distance | MCQ | D | |
| Q16 | The sum of perimeters of an equilateral triangle and a… | Mensuration | MCQ | A | |
| Q17 | The number of integers that satisfy the equality (x^2 - 5x +… | Equations | MCQ | C | |
| Q18 | In how many ways can a pair of integers (x , a) be chosen… | Inequalities & Modulus | MCQ | A | |
| Q19 | Two circular tracks T1 and T2 of radii 100 m and 20 m… | Time, Speed & Distance | MCQ | B | |
| Q20 | A and B are two points on a straight line. Ram runs from A… | Time, Speed & Distance | MCQ | A | |
| Q21 | Let C1 and C2 be concentric circles such that the diameter… | Geometry | TITA | 10 | |
| Q22 | John takes twice as much time as Jack to finish a job. Jack… | Time & Work | TITA | 4 | |
| Q23 | In May, John bought the same amount of rice and the same… | Percentages & Profit-Loss | MCQ | C | |
| Q24 | Aron bought some pencils and sharpeners. Spending the same… | Equations | MCQ | A | |
| Q25 | A sum of money is split among Amal, Sunil and Mita so that… | Ratio, Mixtures & Averages | TITA | 800 | |
| Q26 | How many 4-digit numbers, each greater than 1000 and each… | Permutations & Probability | TITA | 315 |
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