NinetynineCAT 2017 Slot 1 QA questions, answer key and solutions
The Quantitative Ability (QA) section of CAT 2017 Slot 1: 34 questions in 60 minutes, 11 TITA and 23 MCQ. The answer key below is CAT's official one.
| Q | Question | Topic | Type | Answer | Solution |
|---|---|---|---|---|---|
| Q1 | Arun's present age in years is 40% of Barun's. In another… | Percentages & Profit-Loss | TITA | 20 | |
| Q2 | A person can complete a job in 120 days. He works alone on… | Time & Work | TITA | 15 | |
| Q3 | An elevator has a weight limit of 630 kg. It is carrying a… | Inequalities & Modulus | TITA | 11 | |
| Q4 | A man leaves his home and walks at a speed of 12 km per… | Time, Speed & Distance | TITA | 20 | |
| Q5 | Ravi invests 50% of his monthly savings in fixed deposits… | Percentages & Profit-Loss | TITA | 70000 | |
| Q6 | If a seller gives a discount of 15% on retail price, she… | Percentages & Profit-Loss | MCQ | D | |
| Q7 | A man travels by a motor boat down a river to his office and… | Time, Speed & Distance | MCQ | B | |
| Q8 | Suppose, C1, C2, C3, C4, and C5 are five companies. The… | Ratio, Mixtures & Averages | MCQ | A | |
| Q9 | The number of girls appearing for an admission test is twice… | Percentages & Profit-Loss | MCQ | D | |
| Q10 | A stall sells popcorn and chips in packets of three sizes… | Ratio, Mixtures & Averages | MCQ | A | |
| Q11 | In a market, the price of medium quality mangoes is half… | Percentages & Profit-Loss | MCQ | B | |
| Q12 | If Fatima sells 60 identical toys at a 40% discount on the… | Percentages & Profit-Loss | MCQ | D | |
| Q13 | If a and b are integers of opposite signs such that (a +… | Equations | MCQ | D | |
| Q14 | A class consists of 20 boys and 30 girls. In the… | Ratio, Mixtures & Averages | MCQ | A | |
| Q15 | The area of the closed region bounded by the equation | x |… | Coordinate Geometry | MCQ | C | |
| Q16 | From a triangle ABC with sides of lengths 40 ft, 25 ft and… | Geometry | MCQ | B | |
| Q17 | Let ABC be a right-angled isosceles triangle with hypotenuse… | Geometry | MCQ | B | |
| Q18 | A solid metallic cube is melted to form five solid cubes… | Mensuration | MCQ | B | |
| Q19 | A ball of diameter 4 cm is kept on top of a hollow cylinder… | Mensuration | TITA | 6 | |
| Q20 | Let ABC be a right-angled triangle with BC as the… | Geometry | TITA | 24 | |
| Q21 | Suppose, log_3x = log_12y = a, where x, y are positive… | Logarithms & Exponents | MCQ | D | |
| Q22 | If x + 1 = x^2 and x > 0, then 2x^4 is | Equations | MCQ | D | |
| Q23 | The value of log_0.008√5 + log_√381 – 7 is equal to | Logarithms & Exponents | MCQ | C | |
| Q24 | If 9^2x – 1 – 81^x-1 = 1944, then x is | Logarithms & Exponents | MCQ | B | |
| Q25 | The number of solutions (x, y, z) to the equation x – y – z… | Permutations & Probability | MCQ | B | |
| Q26 | For how many integers n, will the inequality (n – 5) (n –… | Inequalities & Modulus | TITA | 11 | |
| Q27 | If f_1(x) = x^2 + 11x + n and f_2(x) = x, then the largest… | Equations | TITA | 24 | |
| Q28 | If a, b, c, and d are integers such that a + b + c + d = 30… | Inequalities & Modulus | TITA | 2 | |
| Q29 | Let AB, CD, EF, GH, and JK be five diameters of a circle… | Permutations & Probability | TITA | 160 | |
| Q30 | The shortest distance of the point ( 1/2 ,1) from the curve… | Coordinate Geometry | MCQ | A | |
| Q31 | If the square of the 7^th term of an arithmetic progression… | Progressions & Series | MCQ | A | |
| Q32 | In how many ways can 7 identical erasers be distributed… | Permutations & Probability | MCQ | A | |
| Q33 | If f(x) = (5x + 2)/(3x - 5) and g(x) = x^2 – 2x – 1, then… | Functions & Graphs | MCQ | A | |
| Q34 | Let a_1, a_2,.......a_3n be an arithmetic progression with… | Progressions & Series | MCQ | B |
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