NinetynineCAT 2021 Slot 3 QA questions, answer key and solutions
The Quantitative Ability (QA) section of CAT 2021 Slot 3: 22 questions in 40 minutes, 8 TITA and 14 MCQ. The answer key below is CAT's official one; 22 questions link to a step-by-step solution.
| Q | Question | Topic | Type | Answer | Solution |
|---|---|---|---|---|---|
| Q1 | If a certain weight of an alloy of silver and copper is… | Ratio, Mixtures & Averages | MCQ | A | Yes |
| Q2 | Anil can paint a house in 12 days while Barun can paint it… | Time & Work | TITA | 3000 | Yes |
| Q3 | Mira and Amal walk along a circular track, starting from the… | Time, Speed & Distance | TITA | 8 | Yes |
| Q4 | A four-digit number is formed by using only the digits 1, 2… | Permutations & Probability | TITA | 50 | Yes |
| Q5 | In a triangle ABC , ∠ BCA =50°. D and E are points on AB and… | Geometry | MCQ | B | Yes |
| Q6 | For a real number a, if log _15 a+log _32 a(log _15 a)(log… | Logarithms & Exponents | MCQ | A | Yes |
| Q7 | The arithmetic mean of scores of 25 students in an… | Ratio, Mixtures & Averages | TITA | 92 | Yes |
| Q8 | One part of a hostel's monthly expenses is fixed, and the… | Equations | MCQ | C | Yes |
| Q9 | One day, Rahul started a work at 9 AM and Gautam joined him… | Time & Work | MCQ | D | Yes |
| Q10 | The total of male and female populations in a city increased… | Percentages & Profit-Loss | MCQ | A | Yes |
| Q11 | Let ABCD be a parallelogram. The lengths of the side AD and… | Geometry | MCQ | D | Yes |
| Q12 | A park is shaped like a rhombus and has area 96 sq m. If 40… | Geometry | TITA | 3500 | Yes |
| Q13 | If 3 x+2|y|+y=7 and x+|x|+3 y=1 , then x+2 y is | Inequalities & Modulus | MCQ | A | Yes |
| Q14 | In a tournament, a team has played 40 matches so far and won… | Percentages & Profit-Loss | MCQ | B | Yes |
| Q15 | A shop owner bought a total of 64 shirts from a wholesale… | Equations | MCQ | D | Yes |
| Q16 | Consider a sequence of real numbers x_1, x_2, x_3, such that… | Progressions & Series | MCQ | C | Yes |
| Q17 | A tea shop offers tea in cups of three different sizes. The… | Equations | TITA | 34 | Yes |
| Q18 | The number of distinct pairs of integers (m, n) satisfying… | Inequalities & Modulus | TITA | 12 | Yes |
| Q19 | The cost of fencing a rectangular plot is ₹ 200 per ft along… | Inequalities & Modulus | MCQ | C | Yes |
| Q20 | If n is a positive integer such that ([7]10)([7]10)^2… | Logarithms & Exponents | TITA | 6 | Yes |
| Q21 | Bank A offers 6% interest rate per annum compounded half… | Interest | MCQ | A | Yes |
| Q22 | If f(x)=x^2-7 x and g(x)=x+3 , then the minimum value of… | Functions & Graphs | MCQ | D | Yes |
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