NinetynineCAT 2017 Slot 2 QA questions, answer key and solutions
The Quantitative Ability (QA) section of CAT 2017 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 numbers 1, 2,..., 9 are arranged in a 3 X 3 square grid… | Number Systems | TITA | 3 | |
| Q2 | In a 10 km race. A, B, and C, each running at uniform speed… | Time, Speed & Distance | TITA | 1900 | |
| Q3 | Bottle 1 contains a mixture of milk and water in 7 : 2 ratio… | Ratio, Mixtures & Averages | MCQ | B | |
| Q4 | Arun drove from home to his hostel at 60 miles per hour… | Time, Speed & Distance | MCQ | C | |
| Q5 | Out of the shirts produced in a factory, 15% are defective… | Percentages & Profit-Loss | MCQ | B | |
| Q6 | The average height of 22 toddlers increases by 2 inches when… | Ratio, Mixtures & Averages | MCQ | C | |
| Q7 | The manufacturer of a table sells it to a wholesale dealer… | Percentages & Profit-Loss | MCQ | B | |
| Q8 | A tank has an inlet pipe and an outlet pipe. If the outlet… | Time & Work | MCQ | A | |
| Q9 | Mayank buys some candies for Rs 15 a dozen and an equal… | Percentages & Profit-Loss | MCQ | A | |
| Q10 | In a village, the production of food grains increased by 40%… | Percentages & Profit-Loss | MCQ | C | |
| Q11 | If a, b, c are three positive integers such that a and b are… | Ratio, Mixtures & Averages | MCQ | C | |
| Q12 | A motorbike leaves point A at 1 pm and moves towards point B… | Time, Speed & Distance | MCQ | B | |
| Q13 | Amal can complete a job in 10 days and Bimal can complete it… | Time & Work | MCQ | A | |
| Q14 | Consider three mixtures - the first having water and liquid… | Ratio, Mixtures & Averages | MCQ | C | |
| Q15 | Let ABCDEF be a regular hexagon with each side of length 1… | Geometry | MCQ | B | |
| Q16 | The base of a vertical pillar with uniform cross section is… | Mensuration | MCQ | C | |
| Q17 | The points (2, 5) and (6, 3) are two end points of a… | Coordinate Geometry | MCQ | D | |
| Q18 | ABCD is a quadrilateral inscribed in a circle with centre O… | Geometry | TITA | 90 | |
| Q19 | If three sides of a rectangular park have a total length 400… | Inequalities & Modulus | TITA | 200 | |
| Q20 | Let P be an interior point of a right-angled isosceles… | Geometry | TITA | 16 | |
| Q21 | If the product of three consecutive positive integers is… | Number Systems | MCQ | D | |
| Q22 | If x is a real number such that log_35 = log_5(2 + x), then… | Logarithms & Exponents | MCQ | D | |
| Q23 | Let f(x) = x^2 and g(x) = 2^x, for all real x. Then the… | Functions & Graphs | MCQ | C | |
| Q24 | The minimum possible value of the sum of the squares of the… | Equations | MCQ | C | |
| Q25 | If 9^x - ( 1/2 ) – 2^2x – 2 = 4^x – 3^2x – 3, then x is | Logarithms & Exponents | MCQ | A | |
| Q26 | If log(2^a × 3^b × 5^c) is the arithmetic mean of log(2^2 ×… | Logarithms & Exponents | TITA | 3 | |
| Q27 | Let a_1, a_2, a_3, a_4, a_5 be a sequence of five… | Progressions & Series | TITA | 51 | |
| Q28 | How many different pairs (a, b) of positive integers are… | Number Systems | TITA | 3 | |
| Q29 | In how many ways can 8 identical pens be distributed among… | Permutations & Probability | TITA | 6 | |
| Q30 | How many four digit numbers, which are divisible by 6, can… | Permutations & Probability | TITA | 50 | |
| Q31 | If f(ab) = f(a)f(b) for all positive integers a and b, then… | Functions & Graphs | TITA | 1 | |
| Q32 | Let f(x) = 2x – 5 and g(x) = 7 – 2x. Then |f(x) + g(x)| =… | Inequalities & Modulus | MCQ | D | |
| Q33 | An infinite geometric progression a_1, a_2, a_3,... has the… | Progressions & Series | MCQ | C | |
| Q34 | If a_1 = 1/(2 × 5) , a_2 = 1/(5 × 8) , a_3 = 1/(8 × 11)… | Progressions & Series | MCQ | A |
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