NinetynineCAT 2018 Slot 1 QA questions, answer key and solutions
The Quantitative Ability (QA) section of CAT 2018 Slot 1: 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 | A trader sells 10 litres of a mixture of paints A and B… | Ratio, Mixtures & Averages | MCQ | A | |
| Q2 | In a circle with centre O and radius 1 cm, an arc AB makes… | Geometry | MCQ | D | |
| Q3 | If f(x + 2) = f(x) + f(x + 1) for all positive integers x… | Functions & Graphs | TITA | 54 | |
| Q4 | The distance from A to B is 60 km. Partha and Narayan start… | Time, Speed & Distance | MCQ | D | |
| Q5 | A CAT aspirant appears for a certain number of tests. His… | Ratio, Mixtures & Averages | TITA | 60 | |
| Q6 | Two types of tea, A and B, are mixed and then sold at Rs. 40… | Ratio, Mixtures & Averages | MCQ | B | |
| Q7 | A wholesaler bought walnuts and peanuts, the price of walnut… | Percentages & Profit-Loss | MCQ | C | |
| Q8 | When they work alone, B needs 25% more time to finish a job… | Time & Work | MCQ | C | |
| Q9 | Given an equilateral triangle T1 with side 24 cm, a second… | Progressions & Series | MCQ | A | |
| Q10 | While multiplying three real numbers, Ashok took one of the… | Inequalities & Modulus | TITA | 40 | |
| Q11 | If x is a positive quantity such that 2^x = 3 log_52 , then… | Logarithms & Exponents | MCQ | B | |
| Q12 | If log_1281 = p, then 3( (4 - p)/(4 + p) ) is equal to | Logarithms & Exponents | MCQ | B | |
| Q13 | A right circular cone, of height 12 ft, stands on its base… | Mensuration | TITA | 198 | |
| Q14 | How many numbers with two or more digits can be formed with… | Permutations & Probability | TITA | 502 | |
| Q15 | John borrowed Rs. 2,10,000 from a bank at an interest rate… | Interest | TITA | 121000 | |
| Q16 | If u^2 + (u−2v−1)^2 = −4v(u + v), then what is the value of… | Equations | MCQ | D | |
| Q17 | Point P lies between points A and B such that the length of… | Time, Speed & Distance | TITA | 12 | |
| Q18 | Let ABCD be a rectangle inscribed in a circle of radius 13… | Geometry | MCQ | D | |
| Q19 | In an examination, the maximum possible score is N while the… | Percentages & Profit-Loss | MCQ | B | |
| Q20 | Let x, y, z be three positive real numbers in a geometric… | Progressions & Series | MCQ | D | |
| Q21 | The number of integers x such that 0.25 < 2^x < 200, and 2^x… | Number Systems | TITA | 5 | |
| Q22 | Each of 74 students in a class studies at least one of the… | Set Theory | TITA | 52 | |
| Q23 | Train T leaves station X for station Y at 3 pm. Train S… | Time, Speed & Distance | TITA | 15 | |
| Q24 | Points E, F, G, H lie on the sides AB, BC, CD, and DA… | Geometry | MCQ | A | |
| Q25 | Given that x^2018 y^2017 = 1/2 and x^2016 y^2019 = 8, the… | Logarithms & Exponents | MCQ | D | |
| Q26 | Raju and Lalitha originally had marbles in the ratio 4 : 9… | Ratio, Mixtures & Averages | MCQ | D | |
| Q27 | If log_2(5 + log_3a) = 3 and log_5(4a + 12 + log_2b) = 3… | Logarithms & Exponents | MCQ | B | |
| Q28 | Humans and robots can both perform a job but at different… | Time & Work | MCQ | B | |
| Q29 | In a parallelogram ABCD of area 72 sq cm, the sides CD and… | Geometry | MCQ | C | |
| Q30 | In a circle, two parallel chords on the same side of a… | Geometry | MCQ | A | |
| Q31 | A tank is fitted with pipes, some filling it and the rest… | Time & Work | TITA | 10 | |
| Q32 | If among 200 students, 105 like pizza and 134 like burger… | Set Theory | MCQ | D | |
| Q33 | Let f(x)=min2x^2, 52 - 5x, where x is any positive real… | Functions & Graphs | TITA | 32 | |
| Q34 | In an apartment complex, the number of people aged 51 years… | Ratio, Mixtures & Averages | MCQ | D |
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