NinetynineCAT 2019 Slot 2 QA questions, answer key and solutions
The Quantitative Ability (QA) section of CAT 2019 Slot 2: 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 | The real root of the equation 2^6x + 2^3x+2 - 21 = 0 is | Logarithms & Exponents | MCQ | A | |
| Q2 | The average of 30 integers is 5. Among these 30 integers… | Ratio, Mixtures & Averages | MCQ | C | |
| Q3 | Let a, b, x, y be real numbers such that a^2 + b^2 = 25… | Equations | MCQ | A | |
| Q4 | In a triangle ABC, medians AD and BE are perpendicular to… | Geometry | MCQ | C | |
| Q5 | Let a_1 , a_2 be integers such that a_1 - a_2 + a_3 - a_4 +… | Progressions & Series | MCQ | B | |
| Q6 | How many factors of 2^4 × 3^5 × 10^4 are perfect squares… | Number Systems | TITA | 44 | |
| Q7 | Two circles, each of radius 4 cm, touch externally. Each of… | Geometry | MCQ | B | |
| Q8 | What is the largest positive integer such that… | Number Systems | MCQ | D | |
| Q9 | In 2010, a library contained a total of 11500 books in two… | Percentages & Profit-Loss | MCQ | A | |
| Q10 | Let f be a function such that f (mn) = f (m) f (n) for every… | Functions & Graphs | TITA | 12 | |
| Q11 | Let A and B be two regular polygons having a and b sides… | Geometry | TITA | 150 | |
| Q12 | A cyclist leaves A at 10 am and reaches B at 11 am. Starting… | Time, Speed & Distance | MCQ | C | |
| Q13 | Let A be a real number. Then the roots of the equation x^2… | Equations | MCQ | C | |
| Q14 | John jogs on track A at 6 kmph and Mary jogs on track B at… | Time, Speed & Distance | TITA | 48 | |
| Q15 | Anil alone can do a job in 20 days while Sunil alone can do… | Time & Work | MCQ | A | |
| Q16 | In an examination, Rama's score was one-twelfth of the sum… | Ratio, Mixtures & Averages | MCQ | B | |
| Q17 | In an examination, the score of A was 10% less than that of… | Percentages & Profit-Loss | TITA | 80 | |
| Q18 | The base of a regular pyramid is a square and each of the… | Mensuration | MCQ | A | |
| Q19 | If x is a real number ,then log_e(4x - x^2)/3 is a real… | Logarithms & Exponents | MCQ | C | |
| Q20 | Let ABC be a right-angled triangle with hypotenuse BC of… | Geometry | MCQ | A | |
| Q21 | Two ants A and B start from a point P on a circle at the… | Time, Speed & Distance | MCQ | A | |
| Q22 | How many pairs (m,n) of positive integers satisfy the… | Number Systems | TITA | 4 | |
| Q23 | The salaries of Ramesh, Ganesh and Rajesh were in the ratio… | Ratio, Mixtures & Averages | MCQ | A | |
| Q24 | A man makes complete use of 405 cc of iron, 783 cc of… | Mensuration | MCQ | D | |
| Q25 | The quadratic equation x^2 + bx + c = 0 has two roots 4a and… | Equations | MCQ | B | |
| Q26 | In a six-digit number, the sixth, that is, the rightmost… | Number Systems | TITA | 7 | |
| Q27 | Mukesh purchased 10 bicycles in 2017, all at the same price… | Percentages & Profit-Loss | MCQ | D | |
| Q28 | The number of common terms in the two sequences: 15, 19, 23… | Progressions & Series | MCQ | A | |
| Q29 | If (2n+1) + (2n+3) + (2n+5) + ... + (2n+47) = 5280 , then… | Progressions & Series | TITA | 4851 | |
| Q30 | Ratio, Mixtures & Averages: 15 | Ratio, Mixtures & Averages | MCQ | D | |
| Q31 | If 5^x - 3^y = 13438 and 5^x-1 + 3^y+1 = 9686 , then x+y… | Equations | TITA | 13 | |
| Q32 | Amal invests Rs 12000 at 8% interest, compounded annually… | Interest | TITA | 20920 | |
| Q33 | A shopkeeper sells two tables, each procured at cost price… | Percentages & Profit-Loss | MCQ | A | |
| Q34 | John gets Rs 57 per hour of regular work and Rs 114 per hour… | Equations | TITA | 12 |
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