NinetynineCAT 2024 Slot 2 QA questions, answer key and solutions
The Quantitative Ability (QA) section of CAT 2024 Slot 2: 22 questions in 40 minutes, 8 TITA and 14 MCQ. The answer key below is CAT's official one; 21 questions link to a step-by-step solution.
| Q | Question | Topic | Type | Answer | Solution |
|---|---|---|---|---|---|
| Q1 | When 3^333 is divided by 11 , the remainder is | Number Systems | MCQ | D | Yes |
| Q2 | If x and y satisfy the equations |x|+x+y=15 and x+|y|-y=20… | Inequalities & Modulus | MCQ | D | Yes |
| Q3 | If m and n are natural numbers such that n>1 , and m^n=2^25… | Logarithms & Exponents | MCQ | C | Yes |
| Q4 | A function f maps the set of natural numbers to whole… | Functions & Graphs | MCQ | B | Yes |
| Q5 | A B C D is a trapezium in which A B is parallel to C D . The… | Geometry | MCQ | C | Yes |
| Q6 | Amal and Vimal together can complete a task in 150 days… | Time & Work | TITA | 139 | Yes |
| Q7 | Bina incurs 19% loss when she sells a product at Rs. 4860 to… | Percentages & Profit-Loss | TITA | 2160 | Yes |
| Q8 | The sum of the infinite series 1/5(1/5-1/7)+(1/5)^2((1/5)^2… | Progressions & Series | MCQ | A | Yes |
| Q9 | If a, b and c are positive real numbers such that a>10 ≥ b ≥… | Logarithms & Exponents | TITA | 14 | Yes |
| Q10 | A company has 40 employees whose names are listed in a… | Ratio, Mixtures & Averages | MCQ | B | Yes |
| Q11 | P, Q, R and S are four towns. One can travel between P and Q… | Permutations & Probability | TITA | 7 | Yes |
| Q12 | A fruit seller has a stock of mangoes, bananas and apples… | Percentages & Profit-Loss | TITA | 340 | Yes |
| Q13 | If (x+6 √(2))^1/2-(x-6 √(2))^1/2=2 √(2) , then x equals | Logarithms & Exponents | TITA | 11 | Yes |
| Q14 | The coordinates of the three vertices of a triangle are: (1… | Coordinate Geometry | TITA | 2 | Yes |
| Q15 | Anil invests Rs 22000 for 6 years in a scheme with 4%… | Interest | MCQ | B | Yes |
| Q16 | The roots α, β of the equation 3 x^2+ x-1=0 , satisfy… | Equations | MCQ | C | Yes |
| Q17 | A bus starts at 9 am and follows a fixed route every day… | Time, Speed & Distance | MCQ | C | Yes |
| Q18 | Three circles of equal radii touch (but not cross) each… | Geometry | MCQ | C | Yes |
| Q19 | A vessel contained a certain amount of a solution of acid… | Ratio, Mixtures & Averages | MCQ | D | Yes |
| Q20 | All the values of x satisfying the inequality 1/(x+5) ≤ 1/(2… | Inequalities & Modulus | MCQ | B | |
| Q21 | If x and y are real numbers such that 4 x^2+4 y^2-4 x y-6… | Equations | TITA | 7 | Yes |
| Q22 | When Rajesh's age was same as the present age of Garima, the… | Ratio, Mixtures & Averages | MCQ | D | Yes |
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