NinetynineCAT 2020 Slot 1 QA questions, answer key and solutions
The Quantitative Ability (QA) section of CAT 2020 Slot 1: 26 questions in 40 minutes, 8 TITA and 18 MCQ. The answer key below is CAT's official one; 26 questions link to a step-by-step solution.
| Q | Question | Topic | Type | Answer | Solution |
|---|---|---|---|---|---|
| Q1 | How many 3-digit numbers are there, for which the product of… | Number Systems | TITA | 21 | Yes |
| Q2 | If f(5 + x) = f(5 - x) for every real x and f(x) = 0 has… | Functions & Graphs | MCQ | D | Yes |
| Q3 | Veeru invested Rs 10000 at 5% simple annual interest, and… | Interest | TITA | 12 | Yes |
| Q4 | A train travelled at one-thirds of its usual speed, and… | Time, Speed & Distance | MCQ | B | Yes |
| Q5 | If log_4 5 = (log_4 y) (log_6 √5), then y equals | Logarithms & Exponents | TITA | 36 | Yes |
| Q6 | The number of real-valued solutions of the equation 2^x +… | Logarithms & Exponents | MCQ | B | Yes |
| Q7 | A straight road connects points A and B. Car 1 travels from… | Time, Speed & Distance | MCQ | A | Yes |
| Q8 | Let A, B and C be three positive integers such that the sum… | Equations | MCQ | A | Yes |
| Q9 | If x = (4096)^7+4√3, then which of the following equals 64? | Logarithms & Exponents | MCQ | C | Yes |
| Q10 | The mean of all 4 digit even natural numbers of the form… | Ratio, Mixtures & Averages | MCQ | A | Yes |
| Q11 | The number of distinct real roots of the equation (x + 1/x… | Equations | TITA | 1 | Yes |
| Q12 | A person spent Rs 50000 to purchase a desktop computer and a… | Percentages & Profit-Loss | TITA | 20000 | Yes |
| Q13 | Among 100 students, x_1 have birthdays in January, x_2 have… | Inequalities & Modulus | MCQ | D | Yes |
| Q14 | Two persons are walking beside a railway track at respective… | Time, Speed & Distance | MCQ | B | Yes |
| Q15 | How many distinct positive integer-valued solutions exist to… | Equations | MCQ | A | Yes |
| Q16 | The area of the region satisfying the inequalities |x| - y ≤… | Coordinate Geometry | TITA | 3 | Yes |
| Q17 | A solid right circular cone of height 27 cm is cut into 2… | Mensuration | MCQ | C | Yes |
| Q18 | A circle is inscribed in a rhombus with diagonals 12 cm and… | Geometry | MCQ | B | Yes |
| Q19 | Leaving home at the same time, Amal reaches office at 10:15… | Time, Speed & Distance | MCQ | A | Yes |
| Q20 | If a, b and c are positive integers such that ab = 432, bc =… | Number Systems | MCQ | C | Yes |
| Q21 | If y is a negative number such that 2 y^2log_35 = 5 log_23… | Logarithms & Exponents | MCQ | A | Yes |
| Q22 | On a rectangular metal sheet of area 135 sq in, a circle is… | Mensuration | MCQ | A | Yes |
| Q23 | In a group of people, 28% of the members are young while the… | Percentages & Profit-Loss | MCQ | C | Yes |
| Q24 | An alloy is prepared by mixing metals A, B, C in the… | Ratio, Mixtures & Averages | MCQ | A | Yes |
| Q25 | A gentleman decided to treat a few children in the following… | Equations | TITA | 62 | Yes |
| Q26 | A solution, of volume 40 litres, has dye and water in the… | Ratio, Mixtures & Averages | TITA | 8 | Yes |
Topics in this section
Other sections: VARC · DILR · QA questions from every year