NinetynineCAT 2023 Slot 3 QA questions, answer key and solutions
The Quantitative Ability (QA) section of CAT 2023 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 | For a real number x , if 1/2, (log _3(2^x-9))/(log _3 4)… | Logarithms & Exponents | MCQ | C | Yes |
| Q2 | Let n and m be two positive integers such that there are… | Logarithms & Exponents | MCQ | C | Yes |
| Q3 | For some real numbers a and b , the system of equations… | Equations | MCQ | B | Yes |
| Q4 | If x is a positive real number such that x^8+(1/x)^8=47… | Logarithms & Exponents | MCQ | D | Yes |
| Q5 | A quadratic equation x^2+b x+c=0 has two real roots. If the… | Equations | TITA | 9 | Yes |
| Q6 | The sum of the first two natural numbers, each having 15… | Number Systems | TITA | 468 | Yes |
| Q7 | Let n be any natural number such that 5^n-1 3^n+1 . Then… | Logarithms & Exponents | TITA | 5 | Yes |
| Q8 | Rahul, Rakshita and Gurmeet, working together, would have… | Time & Work | MCQ | B | Yes |
| Q9 | Anil mixes cocoa with sugar in the ratio 3 : 2 to prepare… | Ratio, Mixtures & Averages | MCQ | D | Yes |
| Q10 | The population of a town in 2020 was 100000 . The population… | Percentages & Profit-Loss | MCQ | D | Yes |
| Q11 | A merchant purchases a cloth at a rate of Rs.100 per meter… | Percentages & Profit-Loss | MCQ | B | Yes |
| Q12 | There are three persons A, B and C in a room. If a person D… | Ratio, Mixtures & Averages | MCQ | D | Yes |
| Q13 | A boat takes 2 hours to travel downstream a river from port… | Time, Speed & Distance | MCQ | A | Yes |
| Q14 | A fruit seller has a stock of mangoes, bananas and apples… | Percentages & Profit-Loss | TITA | 340 | Yes |
| Q15 | The number of coins collected per week by two… | Number Systems | TITA | 42 | Yes |
| Q16 | Gautam and Suhani, working together, can finish a job in 20… | Time & Work | TITA | 36 | Yes |
| Q17 | Let A B C be an isosceles triangle such that A B and A C are… | Geometry | MCQ | C | Yes |
| Q18 | A rectangle with the largest possible area is drawn inside a… | Geometry | MCQ | A | Yes |
| Q19 | In a regular polygon, any interior angle exceeds the… | Geometry | TITA | 54 | Yes |
| Q20 | The value of 1+(1+1/3) 1/4+(1+1/3+1/9) 1/16+(1+1/3+1/9+1/27)… | Progressions & Series | MCQ | B | Yes |
| Q21 | Let a_n=46+8 n and b_n=98+4 n be two sequences for natural… | Progressions & Series | MCQ | B | Yes |
| Q22 | Suppose f(x, y) is a real-valued function such that f(3 x+2… | Functions & Graphs | TITA | 3 | Yes |
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