NinetynineCAT 2024 Slot 3 QA questions, answer key and solutions
The Quantitative Ability (QA) section of CAT 2024 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 | The number of distinct integer solutions (x, y) of the… | Inequalities & Modulus | TITA | 8 | Yes |
| Q2 | For some constant real numbers p, k and a , consider the… | Equations | MCQ | A | Yes |
| Q3 | If (a+b √(3))^2=52+30 √(3) , where a and b are natural… | Logarithms & Exponents | MCQ | C | Yes |
| Q4 | A circular plot of land is divided into two regions by a… | Geometry | MCQ | C | Yes |
| Q5 | In a group of 250 students, the percentage of girls was at… | Set Theory | MCQ | A | Yes |
| Q6 | If 10^68 is divided by 13 , the remainder is | Number Systems | MCQ | B | Yes |
| Q7 | The midpoints of sides AB, BC, and AC in △ ABC are M, N, and… | Geometry | TITA | 90 | Yes |
| Q8 | After two successive increments, Gopal's salary became… | Percentages & Profit-Loss | MCQ | C | Yes |
| Q9 | Sam can complete a job in 20 days when working alone. Mohit… | Time & Work | MCQ | B | Yes |
| Q10 | A certain amount of water was poured into a 300 litre… | Ratio, Mixtures & Averages | TITA | 30 | Yes |
| Q11 | Aman invests Rs 4000 in a bank at a certain rate of… | Interest | TITA | 9 | Yes |
| Q12 | Gopi marks a price on a product in order to make 20% profit… | Percentages & Profit-Loss | MCQ | B | Yes |
| Q13 | The average of three distinct real numbers is 28. If the… | Ratio, Mixtures & Averages | TITA | 70 | Yes |
| Q14 | The number of all positive integers up to 500 with… | Permutations & Probability | TITA | 378 | Yes |
| Q15 | A train travelled a certain distance at a uniform speed. Had… | Time, Speed & Distance | MCQ | B | Yes |
| Q16 | If 3^a=4,4^b=5,5^c=6,6^d=7,7^e=8 and 8^f=9 , then the value… | Logarithms & Exponents | TITA | 2 | Yes |
| Q17 | Consider the sequence t_1=1, t_2=-1 and t_n=((n-3)/(n-1))… | Progressions & Series | MCQ | C | Yes |
| Q18 | The number of distinct real values of x , satisfying the… | Inequalities & Modulus | TITA | 2 | Yes |
| Q19 | Rajesh and Vimal own 20 hectares and 30 hectares of… | Ratio, Mixtures & Averages | MCQ | B | Yes |
| Q20 | For any non-zero real number x , let f(x)+2 f(1/x)=3 x… | Functions & Graphs | MCQ | B | Yes |
| Q21 | A regular octagon ABCDEFGH has sides of length 6 cm each… | Geometry | MCQ | C | Yes |
| Q22 | The sum of all distinct real values of x that satisfy the… | Logarithms & Exponents | MCQ | A | Yes |
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