NinetynineCAT 2018 Slot 2 QA questions, answer key and solutions
The Quantitative Ability (QA) section of CAT 2018 Slot 2: 34 questions in 60 minutes, 12 TITA and 22 MCQ. The answer key below is CAT's official one.
| Q | Question | Topic | Type | Answer | Solution |
|---|---|---|---|---|---|
| Q1 | Points A, P, Q and B lie on the same line such that P, Q and… | Time, Speed & Distance | MCQ | A | |
| Q2 | Let a_1, a_2, ... , a_52 be positive integers such that a_1… | Inequalities & Modulus | MCQ | D | |
| Q3 | There are two drums, each containing a mixture of paints A… | Ratio, Mixtures & Averages | MCQ | B | |
| Q4 | On a triangle ABC, a circle with diameter BC is drawn… | Geometry | TITA | 24 | |
| Q5 | Let t_1, t_2,… be real numbers such that t_1+ t_2 +... + t_n… | Progressions & Series | TITA | 24 | |
| Q6 | From a rectangle ABCD of area 768 sq cm, a semicircular part… | Mensuration | MCQ | A | |
| Q7 | If N and x are positive integers such that N^N = 2^160 and… | Number Systems | TITA | 10 | |
| Q8 | A chord of length 5 cm subtends an angle of 60° at the… | Geometry | MCQ | B | |
| Q9 | If p^3 = q^4 = r^5 = s^6, then the value of log_s (pqr) is… | Logarithms & Exponents | MCQ | C | |
| Q10 | In a tournament, there are 43 junior level and 51 senior… | Permutations & Probability | TITA | 1098 | |
| Q11 | A 20% ethanol solution is mixed with another ethanol… | Ratio, Mixtures & Averages | MCQ | A | |
| Q12 | The area of a rectangle and the square of its perimeter are… | Mensuration | MCQ | C | |
| Q13 | The smallest integer n for which 4^n ＞ 17^19 holds, is… | Inequalities & Modulus | MCQ | B | |
| Q14 | The smallest integer n such that n^3 - 11n^2 + 32n - 28 ＞ 0… | Inequalities & Modulus | TITA | 8 | |
| Q15 | A parallelogram ABCD has area 48 sqcm. If the length of CD… | Geometry | MCQ | A | |
| Q16 | The value of the sum 7 x 11 + 11 x 15 + 15 x 19 + ..... + 95… | Progressions & Series | MCQ | A | |
| Q17 | On a long stretch of east-west road, A and B are two points… | Time, Speed & Distance | TITA | 50 | |
| Q18 | If the sum of squares of two numbers is 97, then which one… | Inequalities & Modulus | MCQ | A | |
| Q19 | A jar contains a mixture of 175 ml water and 700 ml alcohol… | Ratio, Mixtures & Averages | MCQ | D | |
| Q20 | Points A and B are 150 km apart. Cars 1 and 2 travel from A… | Time, Speed & Distance | TITA | 5 | |
| Q21 | A tank is emptied everyday at a fixed time point… | Time & Work | MCQ | B | |
| Q22 | Ramesh and Ganesh can together complete a work in 16 days… | Time & Work | MCQ | C | |
| Q23 | If a and b are integers such that 2x^2 − ax + 2 ＞ 0 and x^2… | Inequalities & Modulus | TITA | 36 | |
| Q24 | The scores of Amal and Bimal in an examination are in the… | Ratio, Mixtures & Averages | MCQ | B | |
| Q25 | A triangle ABC has area 32 sq units and its side BC, of… | Coordinate Geometry | MCQ | C | |
| Q26 | How many two-digit numbers, with a non-zero digit in the… | Number Systems | MCQ | D | |
| Q27 | A water tank has inlets of two types A and B. All inlets of… | Time & Work | TITA | 48 | |
| Q28 | Gopal borrows Rs. X from Ankit at 8% annual interest. He… | Interest | TITA | 4000 | |
| Q29 | The arithmetic mean of x, y and z is 80, and that of x, y… | Ratio, Mixtures & Averages | TITA | 105 | |
| Q30 | Let f(x)=max5x, 52 - 2x^2, where x is any positive real… | Functions & Graphs | TITA | 20 | |
| Q31 | For two sets A and B, let AΔB denote the set of elements… | Set Theory | MCQ | A | |
| Q32 | If A = 6^2n - 35n - 1: n = 1,2,3,... and B = 35(n-1) : n =… | Set Theory | MCQ | B | |
| Q33 | Ratio, Mixtures & Averages: 3 : 10 | Ratio, Mixtures & Averages | MCQ | B | |
| Q34 | 1log_2100 - 1log_4100 + 1log_5100 - 1log_10100 + 1log_20100… | Logarithms & Exponents | MCQ | B |
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