NinetynineCAT 2020 Slot 3 QA questions, answer key and solutions
The Quantitative Ability (QA) section of CAT 2020 Slot 3: 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 | If x_1 = -1 and x_m = x_m + 1 + (m + 1) for every positive… | Progressions & Series | MCQ | A | |
| Q2 | Let N, x and y be positive integers such that N = x + y, 2… | Number Systems | TITA | 6 | |
| Q3 | Let log_a30 = A, log_a 5/3 = -B and log_2a = 1/3 , then… | Logarithms & Exponents | MCQ | A | |
| Q4 | A contractor agreed to construct a 6 km road in 200 days. He… | Time & Work | TITA | 40 | |
| Q5 | The area, in sq. units, enclosed by the lines x = 2, y = |x… | Coordinate Geometry | MCQ | D | |
| Q6 | Dick is thrice as old as Tom and Harry is twice as old as… | Ratio, Mixtures & Averages | TITA | 18 | |
| Q7 | How many of the integers 1, 2, … , 120, are divisible by… | Number Systems | MCQ | A | |
| Q8 | In the final examination, Bishnu scored 52% and Asha scored… | Percentages & Profit-Loss | MCQ | A | |
| Q9 | If f(x+y) = f(x)f(y) and f(5) = 4, then f(10) - f(-10) is… | Functions & Graphs | MCQ | D | |
| Q10 | 2×4×8×16(log_24)^2(log_48)^3(log_816)^4 equals | Logarithms & Exponents | TITA | 24 | |
| Q11 | If a,b,c are non-zero and 14^a = 36^b = 84^c, then 6b( 1/c… | Ratio, Mixtures & Averages | TITA | 3 | |
| Q12 | Let m and n be natural numbers such that n is even and 0.2 <… | Inequalities & Modulus | MCQ | C | |
| Q13 | Anil, Sunil, and Ravi run along a circular path of length 3… | Time, Speed & Distance | MCQ | C | |
| Q14 | A man buys 35 kg of sugar and sets a marked price in order… | Percentages & Profit-Loss | MCQ | D | |
| Q15 | Let k be a constant. The equations kx + y = 3 and 4x + ky =… | Equations | MCQ | C | |
| Q16 | How many integers in the set 100, 101, 102, ..., 999 have at… | Permutations & Probability | TITA | 252 | |
| Q17 | A batsman played n + 2 innings and got out on all occasions… | Ratio, Mixtures & Averages | MCQ | C | |
| Q18 | Two alcohol solutions, A and B, are mixed in the proportion… | Ratio, Mixtures & Averages | MCQ | B | |
| Q19 | The vertices of a triangle are (0,0), (4,0) and (3,9). The… | Coordinate Geometry | MCQ | C | |
| Q20 | A person invested a certain amount of money at 10% annual… | Interest | TITA | 16000 | |
| Q21 | A and B are two railway stations 90 km apart. A train leaves… | Time, Speed & Distance | MCQ | B | |
| Q22 | Vimla starts for office every day at 9 am and reaches… | Time, Speed & Distance | MCQ | B | |
| Q23 | Let m and n be positive integers, If x^2+ mx + 2n = 0 and… | Equations | MCQ | B | |
| Q24 | In a trepezium ABCD, AB is parallel to DC, BC is… | Geometry | TITA | 28 | |
| Q25 | The points (2 , 1) and (-3 , -4) are opposite vertices of a… | Coordinate Geometry | MCQ | C | |
| Q26 | How many pairs (a,b) of positive integers are there such… | Number Systems | MCQ | B |
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